Chapter 2 Explain the distinction between ratio and proportion

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

1)

Which equation does not require the use of the multiplication property of equality to solve the

equation?

1)

A)

6x + 3 – (–5x + 6) = –1

B)

–5x – (–6)x = –1

C)

–5

6x = –1+ 6

D)

–6x +5x = –1

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

2)

After working correctly through several steps of the solution of a linear equation, a student

obtains the equation 4x =3x. Then the student divides each side by x to get 4=3 and gives

 as the answer. Is this correct? If not, explain why.

2)

3)

Explain the distinction between ratio and proportion. Give examples.

3)

4)

Which one of the following ratios is not the same as 4 to 6?

(a) 6 to 4 (b) 2 to 3

(c) 20 to 30 (d) 8 to 12

4)

5)

Two angles q and r are complimentary. The angle s is supplementary to q. Write an

equation showing the relationship between r and s.

5)

6)

A student tried to solve the equation 3x =6 by dividing each side by 6. Why is this not the

correct procedure for solving this equation?

6)

7)

State how you would find the solution of a linear equation if your next–to–last step reads

“–x =45.”

7)

8)

If an equation has decimals as coefficients, what step will make work easier?

8)

9)

Which one of the following ratios is not the same as .75?

(a) 3 to 4 (b) 8 to 6

(c) .750 (d) 75 to 100

9)

10)

Write an equation that requires the use of the multiplication property of equality, where

both sides must be multiplied by 100 and where the solution isn’t an integer.

10)

11)

Which of the following would not be a reasonable answer in an applied problem that

requires finding the number of cars parked in a parking lot?

(i) 20 (ii) 35 (iii) 1888 (iv) –57

11)

12)

Two angles are complimentary. One of the angles is r. How do you express the other

angle?

12)

Provide an appropriate response.

13)

Explain why the equation x +8

6=x +2

6 has no solution.

13)

2

Provide an appropriate response.

14)

Which one of the following ratios is not the same as 5 to 2?

(a) 10 to 4 (b) 50 to 20

(c) 25 to 10 (d) 2 to 5

14)

15)

If an equation has fractions as coefficients, what step will make work easier?

15)

Answer the question.

16)

If x represents a positive integer, how would you express its negative?

16)

Provide an appropriate response.

17)

Write the steps you would use to solve this equation: 9(x – 1) + 2x = –2x.

17)

18)

Which one of the following ratios is not the same as 4 to 16?

(a) 40 to 160 (b) 0.25

(c) 2 to 8 (d) 4 to 1

18)

19)

While solving an equation, why can’t you multiply both sides of the equation by zero?

19)

Answer the question.

20)

One number is twice another. If the larger number is m, how do you express the other

number in terms of m?

20)

Provide an appropriate response.

21)

Give three ratios that are equivalent to 19 to 46.

21)

22)

Express three consecutive integers, all in terms of x, if x is the largest integer.

22)

23)

The solution set for the equation 4(9s – 7) =36s – 28 is given as 0. Is this correct? Explain.

23)

24)

When does the solution of a linear equation not require the use of the Multiplication

Property of Equality?

24)

25)

How would you express the product of two numbers, r and s?

25)

26)

Write an equation that requires the use of the multiplication property of equality, where

both sides must be multiplied by 13

5 and where the solution is a negative number.

26)

27)

Which one of the following ratios is not the same as 1.3?

(a) 13 to 10 (b) 1 to 3

(c) 1.30 (d) 130 to 100

27)

28)

Which one of the following ratios is not the same as 5 to 6?

(a) 10 to 12 (b) 50 to 60

(c) 6 to 5 (d) 200 to 240

28)

29)

What is the Multiplication Property of Equality?

29)

30)

If x represents a negative integer, how would you express its negative?

30)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

31)

Tell whether you would use the addition or multiplication property of equality to solve the

equation: 2a = –10.

31)

A)

Addition property

B)

Multiplication property

32)

One side of a triangle is twice as long as a second side. The third side of the triangle is 16 feet long.

The perimeter of the triangle cannot be more than 40 feet. Find the longest possible values for the

other two sides of the triangle.

32)

A)

8 feet and 16 feet

B)

7 feet and 14 feet

C)

28 feet and 28 feet

D)

12 feet and 12 feet

33)

Carla works for $5 an hour. A total of 27% of her salary is deducted for taxes and insurance. How

many hours must she work to take home $1095?

33)

A)

280 hr

B)

300 hr

C)

400 hr

D)

350 hr

34)

1

2s= – 1

3

34)

A)

–2

3

B)

2

3

C)

–3

2

D)

4

3

Solve the problem.

35)

Find the measure of an angle, if its supplement measures 58° more than twice its complement.

35)

A)

116°

B)

58°

C)

68°

D)

32°

Solve the inequality. Write the solution set in interval notation and graph it.

36)

6c – 5 5c + 4

36)

A)

(6, )

B)

( , 6)

C)

( , 9]

D)

[9, )

Solve the problem.

37)

A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 51

marbles in it. At least how many green marbles does it have?

37)

A)

At least 17 green marbles

B)

At least 26 green marbles

C)

At least 34 green marbles

D)

At least 18 green marbles

Solve the equation.

38)

(y – 8) – (y + 3) =3y

38)

A)

–11

8

B)

0

C)

–11

3

D)

–11

6

Solve the problem.

39)

A reservation clerk worked 12.15 hours one day. She spent twice as much time entering new

reservations as she did verifying old ones and one and a half as much time calling to confirm

reservations as verifying old ones. How much time did she spend entering new reservations?

39)

A)

2.7 hours

B)

10.8 hours

C)

4.05 hours

D)

5.4 hours

40)

48 ft to 8 ft

40)

A)

1

6

B)

49

9

C)

6

1

D)

9

49

41)

0< x <4

41)

A)

(0, 4)

B)

(0, 4]

C)

[0, 4]

D)

[0, 4)

42)

The sum of two consecutive integers is –271. Find the larger integer.

42)

A)

–134

B)

–137

C)

–135

D)

–136

43)

There are 8580 under–capitalized retail stores. If this represents 29% of the total number, what is

the total number? Round to the nearest whole number.

43)

A)

248,800

B)

296

C)

2488

D)

29,586

44)

The ratio of the distances a pitching wedge and an 8–iron will drive a golf ball is 4 to 5. If a golfer

averages 92 yards with a pitching wedge, how far should she average with an 8–iron?

44)

A)

74 yd

B)

83 yd

C)

101 yd

D)

115 yd

Solve the formula for the specified variable.

45)

A = P(1 + nr) for r

45)

A)

r=A

n

B)

r=Pn

A – P

C)

r=P – A

Pn

D)

r=A – P

Pn

Solve the equation.

46)

x

39 =9

13

46)

A)

3

B)

{27}

C)

169

3

D)

{36}

Solve the formula for the specified variable.

47)

a + b = s + r for r

47)

A)

r=a + b

s

B)

r=s(a + b)

C)

r= a + b – s

D)

r=a

s+ b

Solve the problem.

48)

A cashier has a total of 138 bills, made up of fives and tens. The total value of the money is $730.

How many ten–dollar bills does the cashier have?

48)

A)

4 ten–dollar bills

B)

12 ten–dollar bills

C)

8 ten–dollar bills

D)

130 ten–dollar bills

49)

A)

x < –4

B)

x > –4

C)

x –4

D)

x –4

Solve the equation.

50)

–1

7a = –1

50)

A)

{–8}

B)

{7}

C)

{0}

D)

{–9}

Solve the equation. First simplify the expression by combining like terms.

51)

–6a + 2 + 7a =9– 23

51)

A)

{ 16 }

B)

{ –16 }

C)

{ –34 }

D)

{ 34 }

Solve the equation.

52)

5x –7

3=6x +5

5

52)

A)

–20

43

B)

50

7

C)

–20

7

D)

50

43

53)

When a number is multiplied by 4, the result is –10.

53)

A)

–10x =4

B)

x

–10 =4

C)

x

4= –10

D)

4x = –10

54)

Brand A 20 oz for $3.40

Brand B 24 oz for $4.32

54)

A)

Brand A, $0.18

B)

Brand A, $0.17

C)

Equal value

D)

Brand B, $0.18

55)

6<2x 14

55)

A)

[3, 7)

B)

[–3, 3)

C)

(3, 7]

D)

(–3, 3]

56)

I = prt; I =33.6, p =140, r =0.06

56)

A)

0.4

B)

4

C)

282.24

D)

2.8224

57)

–2x = –7; divided

57)

A)

–2

B)

2

C)

–1

5

D)

–7

Solve the equation.

58)

2(2z – 3) =3(z + 3)

58)

A)

{–3}

B)

{5}

C)

{3}

D)

{15}

Solve the problem.

59)

The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have

the same measure, while the measure of angle C is 30° larger than each of A and B. What are the

measures of the three angles?

59)

A)

A and B: 80°; C: 50°

B)

A and C: 60°; B: 60°

C)

A and B: 50°; C: 80°

D)

A and B: 60°; C: 60°

60)

In a sample of 70 widgets, 4 were defective. How many defective widgets would you expect in a

sample of 420 widgets?

60)

A)

22 widgets

B)

24 widgets

C)

54 widgets

D)

27 widgets

Solve the equation. First simplify the expression by combining like terms.

61)

10y =4y + 10 + 5y

61)

A)

{ 10 }

B)

{ –100 }

C)

{ 100 }

D)

{ –10 }

12

Solve the equation.

62)

–5(x + 4) = –(5x + 20)

62)

A)

{all real numbers}

B)

{4}

C)



D)

{0}

Solve the equation. First simplify the expression by combining like terms.

63)

4(y + 7) =5(y – 6)

63)

A)

{–2}

B)

{58}

C)

{2}

D)

{–58}

B

Solve the problem.

64)

The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and

B have the same measure, while angle C is 12 degrees larger than each of the other two angles. Find

the measure of angle C.

64)

A)

68 degrees

B)

56 degrees

C)

124 degrees

D)

112 degrees

A

65)

Pennies are packaged 50 in a roll. A mother gave her son 95 pennies for his bank and had 5 pennies

left over. How many rolls of pennies did she use?

65)

A)

5 rolls

B)

4 rolls

C)

3 rolls

D)

2 rolls

D

66)

The difference between two positive integers is 44. One integer is three times as great as the other.

Find the integers.

66)

A)

44 and 66

B)

66 and 110

C)

22 and 66

D)

22 and 44

C

A

67)

Find the measure of an angle whose supplement is 6 times the measure of its complement.

67)

A)

72°

B)

15°

C)

36°

D)

30°

68)

Tell whether you would use the addition or multiplication property of equality to solve the

equation:

z–4= –1.

68)

A)

Addition property

B)

Multiplication property

69)

d = rt; t =6, d =36

69)

A)

30

B)

6

C)

42

D)

0.2

Solve the equation.

70)

4x –2x +3x =35

70)

A)

1

5

B)

1

7

C)

{30}

D)

{7}

Translate the statement into an inequality. Use x as the variable.

71)

Less than 3 inches of snow fell.

71)

A)

x <3

B)

x 3

C)

x 3

D)

x >3

72)

Elizabeth earned 19 dollars a day at her job. Assuming a 5–day work week, how much did she earn

in d weeks?

72)

A)

19 + d dollars

B)

19d dollars

C)

95 + d

D)

95d dollars

73)

–7.3c = –58.4

73)

A)

{8.0}

B)

{2.0}

C)

{51.1}

D)

{–51.1}

74)

Sarah has grades of 98 and 98 on his first two tests. If she wants an average of at least 80 after her

third test, what score must she make on that test?

74)

A)

92 or more

B)

98 or more

C)

80 or more

D)

44 or more

75)

–6b =66

75)

A)

{1}

B)

{–11}

C)

{–72}

D)

{72}

76)

The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 64 cm long plays

a B, what is the length of the string that plays a D?

76)

A)

80 cm

B)

91 cm

C)

64 cm

D)

108 cm

77)

For what values of x would the rectangle have a perimeter of at least 152?

3x +2

6x +11

77)

A)

15 or less

B)

7 or less

C)

7 or greater

D)

15 or greater

78)

Jay drove 385 kilometers at the average rate of 77 kilometers per hour. How long did the trip take?

78)

A)

1

5hr

B)

4 hr

C)

6 hr

D)

5 hr

79)

– 0.4z > – 1.2

79)

A)

(–, –3)

B)

(3, )

C)

(–, 3)

D)

(–3, )

80)

Mardi received an inheritance of $60,000. She invested part at 4% and deposited the remainder in

tax–free bonds at 6%. Her total annual income from the investments was $2600. Find the amount

invested at 4%.

80)

A)

$57,400

B)

$50,000

C)

$25,000

D)

$49,000

81)

If the first and third of three consecutive odd integers are added, the result is 69 less than five times

the second integer. Find the third integer.

81)

A)

23

B)

21

C)

46

D)

25

82)

Two numbers have a sum of 48. One of the numbers is t. Find the other number.

82)

A)

t– 48

B)

t+ 48

C)

48 – t

D)

48 + t

83)

The perimeter of a rectangle must be no greater than 70 meters. The width must be 13 meters. Find

the greatest possible value for the length of the rectangle.

83)

A)

48 meters

B)

57 meters

C)

22 meters

D)

83 meters

Solve the equation.

84)

0.3x – 0.2(60 + x) = –0.15(60)

84)

A)

{30}

B)

{40}

C)

{15}

D)

{20}

Solve the inequality and write the solution set in interval notation.

85)

–5x 15

85)

A)

[3, )

B)

[–3, )

C)

(–, –3]

D)

(–, 3]

86)

In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get

a 6% solution. How many liters of the 10% solution are needed?

86)

A)

3.0 L

B)

0.5 L

C)

1.5 L

D)

2.5 L

C

87)

The appliance store where the Perrones shop offers a 7% discount for paying cash. The Perrones

received a discount of $47. What was their total bill before the discount? Round to the nearest

dollar.

87)

A)

$7

B)

$300

C)

$3

D)

$671

D

88)

A cashier has a total of 123 bills made up of fives and tens. The total value of the money is $715.

How many ten–dollar bills does the cashier have?

88)

A)

30 ten–dollar bills

B)

103 ten–dollar bills

C)

10 ten–dollar bills

D)

20 ten–dollar bills

D

Solve the equation.

89)

5(x + 3) – (5x + 15) = 0

89)

A)

{0}

B)

{all real numbers}

C)

{}

D)

{3}

B

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x

on the left side.

90)

3

4x =7; multiplied

90)

A)

7

B)

4

3

C)

4

D)

–3

4

B

Express the phrase as a ratio in lowest terms.

91)

90 cm to 60 cm

91)

A)

3

2

B)

2

3

C)

91

61

D)

61

91

Solve the problem.

92)

Jon has 944 points in his math class. He must have 87% of the 1200 points possible by the end of the

term to receive credit for the class. What is the minimum number of additional points he must earn

by the end of the term to receive credit for the class?

92)

A)

256 points

B)

100 points

C)

1044 points

D)

821 points

93)

In the previous baseball season, team A won the most games of any major league team. Team A

won 58 less than four times as many games as they lost. They played 162 regular–season games.

How many wins and losses did team A have?

93)

A)

Wins: 118; losses: 45

B)

Wins: 119; losses: 43

C)

Wins: 118; losses: 44

D)

Wins: 116; losses: 46

94)

Allied Plumbing spent $70,150 this year on health insurance alone. If total sales were $888,300,

what percent of total sales was spent on health insurance? Round to the nearest tenth of a percent,

if necessary.

94)

A)

127%

B)

7.9%

C)

12.7%

D)

0.8%

95)

The sides of a triangle are 7 inches, 8 inches, and 9 inches. If the shortest side of a similar triangle is

42 inches, find its longest side.

95)

A)

47 in.

B)

48 in.

C)

8 in.

D)

54 in.

96)

–x =0.12; divided

96)

A)

–1

B)

25

3

C)

3

25

D)

0.12

Solve the formula for the specified variable.

97)

S = 2rh + 2r2 for h

97)

A)

h =S

2r– 1

B)

h = 2(S – r)

C)

h =S – 2r2

2r

D)

h = S – r

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not

given.

98)

V =4

3r3; r =4, = 3.14

98)

A)

85.33

B)

803.85

C)

267.95

D)

66.99

Solve the equation.

99)

1

4(x + 8) +1

2(x + 2) = x – 9

99)

A)

24

B)

32

C)

40

D)

48

Solve the formula for the specified variable.

100)

F =9

5C + 32 for C

100)

A)

C =5

F – 32

B)

C =9

5(F – 32)

C)

C =5

9(F – 32)

D)

C =F – 32

9

Translate the sentence into an equation using the variable x.

101)

4 times a number equals 2 less than 5 times the number.

101)

A)

4x –2=5x

B)

4x =5x – 2

C)

4x =2– 5x

D)

4x =2– 5

102)

Measuring a garden for tilling

102)

A)

Area

B)

Perimeter

103)

5x – 5 =4x – 6

103)

A)

{–2}

B)

{0}

C)

{–3}

D)

{–1}

104)

A discount store had monthly sales of $119,200 and spent 26% of it on advertising. How much was

spent on advertising?

104)

A)

$309,920

B)

$30,992

C)

$45,846

D)

$458,462

105)

A circle has a circumference of 44 meters. Find the radius of the circle.

105)

A)

44 m

B)

7 m

C)

22 m

D)

11 m

Solve the equation.

106)

8x –7

3=2x +10

5

106)

A)

–5

46

B)

{65}

C)

{34}

D)

65

34

107)

x° 3x°

107)

A)

90° and 270°

B)

45° and 55°

C)

45° and 135°

D)

60° and 120°

108)

A =1

2bh; b =6, h =18

108)

A)

108

B)

24

C)

24.5

D)

54

Solve the inequality and graph the solution set.

109)

–12x +2(x –2) 2x – (4+4x) – 64

109)

A)

(8, )

B)

( , 8)

C)

[8, )

D)

( , 8]

Decide whether the proportion is true or false.

110)

13

81 = 26

243

110)

A)

True

B)

False

111)

Three islands have a total area of 5046 mi2. Island A is 3195 mi2 larger than island B, and island B is

186mi2 larger than island C. What is the area of each island?

111)

A)

A: 3874 mi2; B: 865mi2; C: 493mi2

B)

A: 4060 mi2; B: 679mi2; C: 483mi2

C)

A: 4060 mi2; B: 865mi2; C: 483mi2

D)

A: 3874 mi2; B: 679mi2; C: 493mi2

112)

The formula for the perimeter of a rectangle is P = 2L + 2W. If P =56 and W =9, find the value of L.

112)

A)

17

B)

18

C)

16

D)

19

Solve the equation.

113)

x–4=9

113)

A)

{13}

B)

{–13}

C)

{–5}

D)

{5}

114)

–4(3y – 2) < –16y – 8

114)

A)

(–, –4)

B)

[–4, )

C)

(–, –4]

D)

(–4, )

115)

Brand X 4 oz for $0.56

Brand Y 6 oz for $0.90

115)

A)

Equal value

B)

Brand Y, $0.15

C)

Brand X, $0.14

D)

Brand Y, $0.14

116)

The formula for converting Fahrenheit temperature to Celsius is C =5

9(F – 32). If a bottle of

prescription medicine is to be kept below 35° Celsius, how would you describe this warning using

Fahrenheit temperature?

116)

A)

It must be kept below 51° Fahrenheit.

B)

It must be kept below 95° Fahrenheit.

C)

It must be kept below 121° Fahrenheit.

D)

It must be kept below –13° Fahrenheit.

117)

If three times the smaller of two consecutive integers is added to four times the larger, the result is

53. Find the smaller integer.

117)

A)

7

B)

8

C)

6

D)

21

118)

Find the measure of an angle, if its supplement measures 35° more than twice its complement.

118)

A)

70°

B)

45°

C)

55°

D)

35°

119)

The First Commerce Bank pays 5% simple interest per year on money market accounts. What is the

annual income on a money market account of $65,000? Round to the nearest dollar.

119)

A)

$32,500

B)

$3250

C)

$130

D)

$1300

120)

A theater ticket for adults is A dollars and the price of a child’s ticket is c dollars. If 19 adults and 26

children attend the theater one night, how much money did the theater make?

120)

A)

19A+ 26c dollars

B)

26A+ 19c dollars

C)

494Ac dollars

D)

19c+ cA dollars

Solve the equation.

121)

1

5(10x – 15) =1

3(9x – 6)

121)

A)

1

5

B)

{–1}

C)

{1}

D)

{–5}

122)

There are 6380 businesses in financial trouble. If this represents 21% of all businesses, what is the

total number of businesses? Round to the nearest whole number.

122)

A)

134,000

B)

30,381

C)

1340

D)

304

B

Solve the equation. First simplify the expression by combining like terms.

123)

–6b + 7 + 4b = –3b + 12

123)

A)

{ 5 }

B)

{ –12 }

C)

{ 12 }

D)

{ –7 }

A

Solve the problem.

124)

A convention manager finds that she has $980 made up of twenties and fifties. She has a total of 31

bills. How many fifty–dollar bills does the manager have?

124)

A)

19 fifty–dollar bills

B)

12 fifty–dollar bills

C)

8 fifty–dollar bills

D)

31 fifty–dollar bills

B

Solve the equation.

125)

6(x + 5) = (6x + 30)

125)

A)

{all real numbers}

B)

{60]

C)

{0}

D)

{}

A

26

B

Solve the problem.

126)

A line from the top of a cliff to the ground passes just over the top of a pole 9.0 ft high and meets

the ground at a point 8.0 ft from the base of the pole. If the point is 69 ft from the base of the cliff,

how high is the cliff? Round to the nearest unit.

126)

A)

4968 ft

B)

621 ft

C)

78 ft

D)

8 ft

Solve the inequality. Write the solution set in interval notation and graph it.

127)

4+ 13t + 3 12t + 5

127)

A)

(13, )

B)

[–2, )

C)

( , –2]

D)

( , 13)

Solve the equation.

128)

x +7

12 =13

4

128)

A)

46

B)

149

4

C)

32

D)

{128}

Solve the inequality. Write the solution set in interval notation and graph it.

129)

–4x + 6 + 3x <10 – 3x + 4

129)

A)

(–, 4)

B)

(10, )

C)

(–, 10)

D)

(4, )

Find the best buy and give the unit price.

130)

Brand A 35 oz for $7.00

Brand B 30 oz for $5.70

130)

A)

Brand B, $0.19

B)

Equal value

C)

Brand A, $0.19

D)

Brand A, $0.20

Solve the equation.

131)

1

20a = 0

131)

A)

{20}

B)

{0}

C)

{–20}

D)

{1}

132)

Find the area of a triangle with height 6 m and base 14 m.

132)

A)

84 m2

B)

10 m2

C)

168 m2

D)

42 m2

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not

given.

133)

P = 2L + 2W; P =16, W =2

133)

A)

8

B)

14

C)

7

D)

6

Solve the equation.

134)

y

5=6

10

134)

A)

{3}

B)

3

25

C)

{30}

D)

25

3

135)

2x > 0

135)

A)



B)

(0, )

C)

(–, )

D)

(–, 0)

136)

24 people to 9 people

136)

A)

2

5

B)

5

2

C)

3

8

D)

8

3

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.

137)

About how many students would you expect to prefer TV in a school of 650 students?

137)

A)

About 117 students

B)

About 78 students

C)

About 130 students

D)

About 12 students

Solve the equation.

138)

0.39(x + 60) + 0.38(x + 50) = –42.3

138)

A)

{110}

B)

{10}

C)

{–10}

D)

{–110}

139)

4x – (2x – 1) =2

139)

A)

–1

6

B)

1

6

C)

–1

2

D)

1

2

Find the measure of each marked angle.

140)

(x + 2)°(4x –142)°

140)

A)

64° and 116°

B)

66° and 24°

C)

68° and 112°

D)

66° and 114°

141)

5a = –35

141)

A)

{40}

B)

{1}

C)

{–7}

D)

{–40}

142)

39% of what number is 68?

142)

A)

100

B)

1740

C)

1

D)

174

143)

If half a number is added to 6, the result is greater than or equal to –7. Find all such numbers.

143)

A)

x > –26

B)

x –42

C)

x –1

D)

x –26

144)

Find the missing length in the similar triangles.

144)

A)

x = 12

B)

x = 19

C)

x = 20

D)

x = 25

145)

A tree casts a shadow 19 m long. At the same time, the shadow cast by a 39–cm tall statue is 89 cm

long. Find the height of the tree. Round results to the nearest unit.

145)

A)

42 m

B)

7 m

C)

43 m

D)

8 m

146)

2=r

13

146)

A)

{26}

B)

{13}

C)

1

26

D)

13

2

147)

Janet drove 375 kilometers and the trip took 5 hours. How fast was Janet traveling?

147)

A)

76 km/hr

B)

1875 km/hr

C)

75 km/hr

D)

1

75 km/hr

148)

A merchant has coffee worth $30 a pound that she wishes to mix with 50 pounds of coffee worth

$90 a pound to get a mixture that can be sold for $80 a pound. How many pounds of the $30 coffee

should be used?

148)

A)

10 pounds

B)

30 pounds

C)

5 pounds

D)

60 pounds

149)

From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and the

other at 5 miles per hour. In how many hours will they be 52 miles apart?

149)

A)

4 hr

B)

1 hr

C)

6 hr

D)

5 hr

150)

1

2x =9

150)

A)

{11}

B)

{18}

C)

{4}

D)

{10}

151)

On a map of the Thunderbird Country Club golf course, 2.5 inches equals 30 yards. How long is the

17th hole if the map shows 15 inches?

151)

A)

1125 yd

B)

5.0 yd

C)

450 yd

D)

180 yd

152)

You must be at least 58 inches tall to ride this roller coaster.

152)

A)

x >58

B)

x 58

C)

x <58

D)

x 58

Express the phrase as a ratio in lowest terms.

153)

21 in. to 12 in.

153)

A)

13

22

B)

7

4

C)

22

13

D)

4

7

Solve the equation.

154)

0.028(500) + 0.07x =0.04(500+ x)

154)

A)

{100}

B)

{200}

C)

{190}

D)

{210}

Solve the inequality. Write the solution set in interval notation and graph it.

155)

–10r + 6 –2(4r – 11)

155)

A)

(–8, )

B)

(–, –8)

C)

[–8, )

D)

(–, –8]

34

Solve the problem.

156)

An insurance fund invests $87,800 in small cap stocks and earns 5% per year on the investment.

How much money is earned per year?

156)

A)

$1,756,000

B)

$4390

C)

$43,900

D)

$175,600

157)

A paint mixture contains 39 gallons of base for every gallon of color. In 600 gallons of paint, how

many gallons of color are there?

157)

A)

200 gallons

B)

585 gallons

C)

15 gallons

D)

300 gallons

158)

One half of a number is 3 more than one–sixth the same number. What is the number?

158)

A)

9

B)

18

C)

8

D)

12

159)

–3

4x =4; multiplied

159)

A)

3

4

B)

–4

3

C)

–8

D)

4

Solve the problem.

160)

If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?

160)

A)

8 hr

B)

7 hr

C)

2 hr

D)

3 hr

Solve the equation.

161)

9x +7x =32

161)

A)

1

2

B)

{2}

C)

{16}

D)

1

16

Solve the problem.

162)

The parking lot at a golf course has 80 cars in it. 40% of the cars are foreign–made. How many cars

are foreign–made?

162)

A)

200 cars

B)

20 cars

C)

320 cars

D)

32 cars

D

Solve the equation. First simplify the expression by combining like terms.

163)

2(4x – 2) + 7(–3+ 5x) = (32 + 44x)

163)

A)

{–15}

B)

{7}

C)

{–57}

D)

{–25}

C

36

B

Solve the inequality. Write the solution set in interval notation and graph it.

164)

35n + 5 5(6n – 5)

164)

A)

[–6, )

B)

(–6, )

C)

(–, –6]

D)

(–, –6)

Decide whether the proportion is true or false.

165)

1

2

14 =1

29

165)

A)

True

B)

False

Write each inequality in interval notation and graph the interval on a number line.

166)

–2

x <2

166)

A)

[–2, 2]

B)

(–2, 2]

C)

(–2, 2)

D)

[–2, 2)

167)

23t – 4 17

167)

A)

[–7, –2]

B)

[2, 7]

C)

(–7, –2)

D)

(2, 7)

Write an inequality involving the variable x that describes the set of numbers graphed.

168)

A)

x –3

B)

x > –3

C)

x < –3

D)

x –3

169)

x< –4

169)

A)

(–4, )

B)

[–4, )

C)

(–, –4)

D)

(–, –4]

170)

7p – 16 =8p – 10

170)

A)

{–4}

B)

{–5}

C)

{–7}

D)

{–6}

Write the answer to the problem as an algebraic expression.

171)

A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank

hold?

171)

A)

G+ 4 quarts

B)

G

4 quarts

C)

4G quarts

D)

4

G quarts

172)

Roberto invested some money at 4%, and then invested $5000 more than twice this amount at 4%.

His total annual income from the two investments was $1400. How much was invested at 4%?

172)

A)

$15,000

B)

$20,000

C)

$2500

D)

$25,000

173)

–4

x 0

173)

A)

(–4, 0)

B)

(–4, 0]

C)

[–4, 0)

D)

[–4, 0]

Solve the equation.

174)

5.8p – 5 =4.8p – 1

174)

A)

{4}

B)

{3}

C)

{–2}

D)

{5}

175)

4r – 3

9=r

8

175)

A)

8

23

B)

24

23

C)

1

2

D)

23

24

176)

About how many students would you expect to prefer computers in a school of 700 students?

176)

A)

About 252 students

B)

About 36 students

C)

About 126 students

D)

About 140 students

177)

Find the measure of an angle such that the difference between its supplement and 3 times its

complement is 50°.

177)

A)

166°

B)

35°

C)

70°

D)

83°

Write each inequality in interval notation and graph the interval on a number line.

178)

x–5

178)

A)

[–5, )

B)

(–, –5]

C)

(–5, )

D)

(–, –5)

Solve the inequality. Write the solution set in interval notation and graph it.

179)

2

3(x +5) >1

3(x +5)

179)

A)

(–, 5)

B)

(–5, )

C)

(–, –5)

D)

(5, )

B

180)

4(3x – 1) =16

180)

A)

5

3

B)

17

12

C)

5

4

D)

1

A

Solve the problem.

181)

Students at East Central High School earned $595 selling car washes. They want to make $3630 for

a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if

necessary.

181)

A)

1.6%

B)

6.1%

C)

16.4%

D)

61%

182)

A)

–6< x –2

B)

–6

x –2

C)

–6< x < –2

D)

–6

x < –2

183)

0.6x =8; divided

183)

A)

8

B)

6

C)

5

3

D)

0.6

Solve the equation.

184)

–0.346(5000) + 0.5x =0.03(5000 + x)

184)

A)

{2000}

B)

{4000}

C)

{3900}

D)

{4100}

43

185)

Find the measure of each marked angle.

(5x –6)°

(2x +48)°

185)

A)

82° and 82°

B)

84° and 96°

C)

84° and 84°

D)

84° and 6°

186)

If Gloria received a 3 percent raise and is now making $25,750 a year, what was her salary before

the raise? Round to the nearest dollar if necessary.

186)

A)

$24,978

B)

$23,750

C)

$25,000

D)

$26,000

187)

A bank teller has some five–dollar bills and some twenty–dollar bills. The teller has 5 more of the

twenties. The total value of the money is $750. Find the number of five–dollar bills that the teller

has.

187)

A)

21 five–dollar bills

B)

26 five–dollar bills

C)

36 five–dollar bills

D)

31 five–dollar bills

188)

Two pages that face each other in a book have 449 as the sum of their page numbers. What is the

number of the page that comes first?

188)

A)

225

B)

223

C)

222

D)

224

Answer the question.

189)

The following statement would be considered a step in solving an applied problem. True or false?

Always draw a figure or diagram.

189)

A)

False

B)

True

190)

About how many students would you expect to prefer films in a school of 850 students?

190)

A)

About 153 students

B)

About 20 students

C)

About 170 students

D)

About 102 students

191)

About how many students would you expect to prefer radio in a school of 500 students?

191)

A)

About 180 students

B)

About 5 students

C)

About 90 students

D)

About 25 students

192)

C = 2r; C =12.56, = 3.14

192)

A)

15.70

B)

78.88

C)

2

D)

4

Decide whether the proportion is true or false.

193)

4

7=28

49

193)

Translate the statement into an inequality. Use x as the variable.

194)

The jet’s speed exceeded 569 mph.

194)

A)

x >569

B)

x 569

C)

x 569

D)

x <569

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not

given.

195)

A =r2; r =9, = 3.14

195)

A)

88.74

B)

12.14

C)

28.26

D)

254.34

A)

B)

Solve the problem.

196)

A company that produces handbags has found that revenue from the sales of the handbags is $10

per handbag, less sales costs of $100. Production costs are $125, plus $9 per handbag. Profit (P) is

given by revenue (R) less cost (C), so the company must find the production level x that makes

P > 0, that is, R – C > 0.

(a) Write an expression for revenue, R, letting x represent the production level (number of handbags

to be produced.)

(b) Write an expression for production costs C in terms of x.

(c) Write an expression for profit P, and then solve the inequality P > 0.

(d) Describe the solution in terms of the problem.

196)

A)

(a) R =10x +100;

(b) C =125 +9x;

(c) P = (10x +100) – (125+9x) = x – 25; x > 25;

(d) To make a profit, more than 25 handbags must be produced and sold.

B)

(a) R =10x –100;

(b) C =125 –9x;

(c) P = (10x –100) – (125–9x) = x –175; x >175;

(d) To make a profit, more than 175 handbags must be produced and sold.

C)

(a) R =10x –100;

(b) C =75 +11x;

(c) P = (10x –100) – (75 +11x) = x –125; x >125;

(d) To make a profit, more than 125 handbags must be produced and sold.

D)

(a) R =10x –100;

(b) C =125 +9x;

(c) P = (10x –100) – (125+9x) = x –225; x >225;

(d) To make a profit, more than 225 handbags must be produced and sold.

Solve the equation.

197)

–0.4(40) + 0.8x =0.4(40 + x)

197)

A)

{70}

B)

{90}

C)

{40}

D)

{80}

198)

(y – 4) – (y + 2) =4y

198)

A)

–3

2

B)

–1

2

C)

–3

D)

–3

2

47

199)

1

4(12x – 16) =1

5(20x – 15)

199)

A)

{–1}

B)

1

12

C)

{–12}

D)

{1}

200)

3

2=x +5

7

200)

A)

8

B)

2

5

C)

31

2

D)

11

2

201)

–(5y – 2) – (–4y + 9) = –1

201)

A)

{6}

B)

{–10}

C)

{–6}

D)

{8}

Solve the inequality and write the solution set in interval notation.

202)

3x –24

202)

A)

(–, –8]

B)

[8, )

C)

(–, 8]

D)

[–8, )

Solve the equation. First simplify the expression by combining like terms.

203)

2

3x +1=8

3–1

3x +8

3

203)

A)

–19

3

B)

13

3

C)

5

3

D)

19

3

Solve the problem.

204)

A high school graduating class is made up of 575 students. There are 95 more girls than boys. How

many boys are in the class?

204)

A)

240 boys

B)

335 boys

C)

95 boys

D)

575 boys

Solve the equation.

205)

8r + 6 =30

205)

A)

{20}

B)

{16}

C)

{3}

D)

{2}

206)

–x =50

206)

A)

{–50}

B)

{1}

C)

{50}

D)

{0}

207)

–8n – 5 > –9n – 17

207)

A)

( , –22]

B)

[–22, )

C)

(–12, )

D)

( , –12)

Solve the equation.

208)

x + 6

5=x + 8

7

208)

A)

{–1}

B)

{–2}

C)

{2}

D)

{1}

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.

209)

About how many students would you expect to prefer written materials in a school of 350

students?

209)

A)

About 9 students

B)

About 32 students

C)

About 63 students

D)

About 126 students

210)

6 yd to 3 ft

210)

A)

6

B)

4

19

C)

1

6

D)

19

4

Solve the problem.

211)

Tech Support spent $12,310 this year on utility costs alone. If total sales were $595,100, what

percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if

necessary.

211)

A)

2.1%

B)

483%

C)

48.3%

D)

0.2%

212)

2

3y – (y –1

4) =1

24 ( y – 8)

212)

A)

2

9

B)

2

C)

–14

39

D)

14

9

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not

given.

213)

P = 2L + 2W; L =6, W =5

213)

A)

11

B)

17

C)

60

D)

22

Solve the problem.

214)

The sum of twice a number and 17 less than the number is the same as the difference between –37

and the number. What is the number?

214)

A)

–6

B)

–10

C)

–4

D)

–5

215)

Helen Weller invested $13,000 in an account that pays 3% simple interest. How much additional

money must be invested in an account that pays 6% simple interest so that the average return on

the two investments amounts to 4%?

215)

A)

$13,000

B)

$6500

C)

$9000

D)

$10,000

Solve the formula for the specified variable.

216)

V =1

3Bh for h

216)

A)

h=3V

B

B)

h=B

3V

C)

h=V

3B

D)

h=3B

V

217)

x–7

217)

A)

(–, –7)

B)

(–7, )

C)

[–7, )

D)

(–, –7]

218)

Paul Nagel invested some money at 4.5% simple interest and $7000 more than that amount at 2.5%

simple interest. After 1 year, his total interest from the two accounts was $455. How much did he

invest at each rate?

218)

A)

$4000 at 4.5%; $12,000 at 2.5%

B)

$5000 at 4.5%; $11,000 at 2.5%

C)

$4000 at 4.5%; $11,000 at 2.5%

D)

$5000 at 4.5%; $10,000 at 2.5%

Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.

219)

Measuring a room for baseboards

219)

A)

Perimeter

B)

Area

Solve the inequality. Write the solution set in interval notation and graph it.

220)

–12 –2z + 2 –6

220)

A)

[–7, –4]

B)

[4, 7]

C)

(4, 7)

D)

(–7, –4)

Solve the problem.

221)

Jill is 17.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill

walks at 1.5 km/hr. They meet in 5 hours. How fast is Joe walking?

221)

A)

1.75 km/hr

B)

2 km/hr

C)

5 km/hr

D)

10 km/hr

222)

1

5(r + 6) =1

7(r + 8)

222)

A)

{–1}

B)

{2}

C)

{1}

D)

{–2}

Solve the problem.

223)

The sum of three consecutive integers is 450. Find the integers.

223)

A)

150, 151, 152

B)

148, 149, 150

C)

149, 150, 151

D)

148, 150, 152

224)

Brand X 12 oz for $2.88

Brand Y 9 oz for $2.07

224)

A)

Brand X, $0.24

B)

Brand Y, $0.23

C)

Brand Y, $0.24

D)

Equal value

225)

(5x +9)°

(2x +51)°

225)

A)

79° and 79°

B)

88° and 88°

C)

79° and 101°

D)

79° and 11°

Solve the problem.

226)

The sum of three consecutive even integers is 174. Find the integers.

226)

A)

51, 52, 53

B)

60, 62, 64

C)

56, 58, 60

D)

58, 60, 62

227)

During the first four months of the year, Jack earned $680, $640, $950 and $1350. If Jack must have

an average salary of at least $830 in order to earn retirement benefits, what must Jack earn in the

fifth month in order to qualify for benefits?

227)

A)

at least $530

B)

at most $905

C)

at most $830

D)

at least $890

228)

8<2t + 4 16

228)

A)

[–6, –2]

B)

(2, 6]

C)

(–6, –2)

D)

(2, 6)

229)

A =1

2bh for h

229)

A)

h=A

2b

B)

h=Ab

2

C)

h=2A

b

D)

h=b

2A

230)

P = a + b + c for a

230)

A)

a = b + c – P

B)

a = b + P – c

C)

a = P – b – c

D)

a = P + b + c

Solve the equation. First simplify the expression by combining like terms.

231)

3(2z – 3) =5(z + 4)

231)

A)

{–11}

B)

{29}

C)

{14}

D)

{11}

Solve the problem.

232)

Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to

have an average of at least 70?

232)

A)

at most 70

B)

at most 71

C)

at least 72

D)

at least 66

233)

62

63 =372

378

233)

A)

True

B)

False

234)

Bill is p years old. How old will he be in 8 years? How old was he 6 years ago?

234)

A)

p8; 4– 6

B)

p+ 6; p– 8

C)

p+ 8; 6– 4

D)

p+ 8; p– 6

Solve the problem.

235)

A label printer prints 4 pages of labels in 4.1 seconds. How long will it take to print 164 pages of

labels?

235)

A)

172.1 sec

B)

171.1 sec

C)

170.1 sec

D)

168.1 sec

Solve the equation.

236)

2x + 4(–3x – 7) = –32 – 6x

236)

A)

1

B)

15

C)

– 1

D)

15

4

A

Express the phrase as a ratio in lowest terms.

237)

24 mi to 6 mi

237)

A)

4

1

B)

25

7

C)

1

4

D)

7

25

A

238)

–x = –0.31; multiplied

238)

A)

––0.31

B)

–1

C)

–0.31

D)

–100

31

B

Solve the equation.

239)

6m – 8 =8+ 3m– 7m

239)

A)

8

5

B)

–9

7

C)

5

8

D)

–5

8

A

57

D

Solve the problem.

240)

If –8 is added to a number and the sum is doubled, the result is –10 less than the number. Find the

number.

240)

A)

6

B)

–6

C)

–2

D)

26

241)

Find the best buy and the unit price.

Brand X 8 oz for $2.40

Brand Y 10 oz for $3.20

241)

A)

Brand Y, $0.32

B)

Brand X, $0.30

C)

Equal value

D)

Brand Y, $0.30

242)

What is the area of a square with side 3 cm?

242)

A)

6 cm2

B)

27 cm2

C)

9 cm2

D)

36 cm2

243)

–3

4x = –27

243)

A)

111

4

B)

81

4

C)

105

4

D)

{36}

Solve the problem.

244)

Sue drove her car 222 miles in January, 303 miles in February, and 200 miles in March. If her

average mileage for the four months from January to April is to be at least 249 miles, how many

miles must she drive in April?

244)

A)

at most 249 miles

B)

at least 244 miles

C)

at most 271 miles

D)

at least 271 miles

245)

A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels

does she have?

245)

A)

8 nickels

B)

18 nickels

C)

13 nickels

D)

3 nickels

246)

A triangle drawn on a map has sides of lengths 8.0 cm, 11 cm, and 13 cm. The shortest of the

corresponding real–life distances is 104 km. Find the longest of the real–life distances. Round to the

nearest unit.

246)

A)

64 km

B)

143 km

C)

123 km

D)

169 km

247)

3(k – 6) – (2k – 5) =7

247)

A)

{– 8}

B)

{– 20}

C)

{20}

D)

{– 6}

248)

A)

x < –6

B)

x –6

C)

x > –6

D)

x –6

249)

The sum of a number and 1 is 13.

249)

A)

x +13 =1

B)

x +1=13

C)

x =1+ 13

D)

1x =13

Solve the problem.

250)

The formula for the perimeter of a rectangle is P = 2L + 2W. Solve for W.

250)

A)

W=P – 2L

2

B)

W=P –L

2

C)

W= P –L

D)

W= d – 2L

Solve the equation. First simplify the expression by combining like terms.

251)

3.8x – 3.3 – 6.5x = –2.7x – 3.3

251)

A)

{ 1 }

B)

{ 0 }

C)

{ –2.7 }

D)

{ –1 }

252)

–7x = –21

252)

A)

{–14}

B)

{14}

C)

{3}

D)

{2}

253)

5x <25

253)

A)

(–, –5)

B)

(–5, )

C)

(–, 5)

D)

(5, )

Solve the problem.

254)

How many liters of a 20% alcohol solution must be mixed with 50 liters of a 80% solution to get a

60% solution?

254)

A)

7.5 L

B)

75 L

C)

2.5 L

D)

25 L

255)

On August 10, the Eblin family received 19 pieces of mail, consisting of magazines, bills, letters,

and ads. If they received the same number of magazines as letters, three more bills than letters, and

five more ads than bills, how many magazines did they receive?

255)

A)

5 magazines

B)

2 magazines

C)

3 magazines

D)

10 magazines

256)

A company that produces appliances has found that revenue from the sales of the appliances is $50

per appliance, less sales costs of $200. Production costs are $350, plus $40 per appliance. Profit (P) is

given by revenue (R) less cost (C), so the company must find the production level x that makes

P > 0, that is, R – C > 0.

(a) Write an expression for revenue, R, letting x represent the production level (number of

appliances to be produced.)

(b) Write an expression for production costs C in terms of x.

(c) Write an expression for profit P, and then solve the inequality P > 0.

(d) Describe the solution in terms of the problem.

256)

A)

(a) R =50x –200;

(b) C =350 +40x;

(c) P = (50x –200) – (350+40x) = 5x –550; 5x >550; x >110

(d) To make a profit, more than 110 appliances must be produced and sold.

B)

(a) R =50x –200;

(b) C =350 + <a+10>x;

(c) P = (50x –200) – (350+60x) = 10x –500; 10x >500; x >50

(d) To make a profit, more than 50 appliances must be produced and sold.

C)

(a) R =50x +200;

(b) C =350 –40x;

(c) P = (50x +200) – (350–40x) = 10x – 150; 10x > 150; x > 15

(d) To make a profit, more than 15 appliances must be produced and sold.

D)

(a) R =50x –200;

(b) C =350 +40x;

(c) P = (50x –200) – (350+40x) = 10x –550; 10x >550; x >55

(d) To make a profit, more than 55 appliances must be produced and sold.

257)

n

2=10

257)

A)

{5}

B)

{11}

C)

{12}

D)

{20}

258)

f – 4 < –6

258)

A)

( , –2]

B)

( , –2)

C)

(–2, )

D)

[–2, )

259)

–4t – 2 –5t – 10

259)

A)

( , –8]

B)

( , –4)

C)

(–4, )

D)

[–8, )

Solve the equation.

260)

2

7x +3

14x +1

21x =23

260)

A)

–40

B)

43

C)

–41

D)

42

261)

Elaine had 20 buttons. Her grandmother donated 10 cards of buttons to the collection. Elaine sorted

the buttons into 10 piles, putting 10 buttons in each pile. How many buttons were on each card

from Elaine’s grandmother?

261)

A)

95 buttons

B)

8 buttons

C)

92 buttons

D)

18 buttons

262)

V =1

3Bh; V =36, h =9

262)

A)

4

B)

12

C)

45

D)

324

263)

A baking pan measures 12 inches long, 9 inches wide, and 2 inches deep. What is the volume of the

pan.

263)

A)

108 cubic inches

B)

42 cubic inches

C)

23 cubic inches

D)

216 cubic inches

264)

A pie–shaped (triangular) lake–front lot has a perimeter of 1700 feet. One side is 100 feet longer

than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths

of all three sides.

264)

A)

500 ft, 600 ft, 900 ft

B)

500 ft, 500 ft, 500 ft

C)

400 ft, 500 ft, 800 ft

D)

100 ft, 200 ft, 300 ft

Solve the equation.

265)

3– (x –1) = –4x +3(x +10)

265)

A)

13

B)

{all real numbers}

C)



D)

26

0v

Solve the problem.

266)

Junior high classes of 30 students each met in the cafeteria to take achievement tests. If exactly 6

students sat at each table and 30 tables were used, how many classes took the tests?

266)

A)

9 classes

B)

19 classes

C)

6 classes

D)

8 classes

267)

A)

2< x 6

B)

2 x <6

C)

2< x <6

D)

2 x 6

268)

A)

x 0

B)

x >0

C)

x <0

D)

x 0

Solve the equation.

269)

10b– 7 =9+ 5b

269)

A)

–5

16

B)

15

2

C)

16

5

D)

5

16

C

270)

6(x + 4) – (6x + 24) = 0

270)

A)

{}

B)

{all real numbers}

C)

{4}

D)

{0}

B

Use a formula to solve the problem.

271)

What is the perimeter of a rectangle of length 50 ft and width 11 ft?

271)

A)

244 ft

B)

111 ft

C)

122 ft

D)

61 ft

C

272)

A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 18 inches

more than the width. What are the dimensions of the carpet?

272)

A)

63 inches by 81 inches

B)

45 inches by 63 inches

C)

99 inches by 117 inches

D)

90 inches by 108 inches

B

Solve the equation.

273)

x

7=18

21

273)

A)

{6}

B)

132

7

C)

6

7

D)

{7}

274)

Measuring a garden for a border fence?

274)

A)

Area

B)

Perimeter

Solve the equation.

275)

–7x + 12 + 8x = 0

275)

A)

{–12}

B)

{1.083}

C)

{0.923}

D)

{12}

Solve the problem.

276)

What is 10% of 600?

276)

A)

0.6

B)

6

C)

60

D)

600

Solve the inequality. Write the solution set in interval notation and graph it.

277)

a – 2 <4

277)

A)

(6, )

B)

( , 6]

C)

[6, )

D)

( , 6)

Decide whether the proportion is true or false.

278)

5

6=35

48

278)

A)

True

B)

False

Solve the equation.

279)

8y + 6 =2– 8y

279)

A)

0

B)

– 4

C)

4

D)

–1

4

67

Solve the problem.

280)

Use the Consumer Price Index figures in the table below to find the amount that would be charged

in 1999 for the same amount of groceries that cost $171.80 in 1995. Give your answer to the nearest

dollar.

Year Consumer

Price Index

1995 152.4

1997 160.5

1999 166.6

2001 177.1

2003 184.0

2005 195.3

2007 207.3

280)

A)

$149

B)

$190

C)

$157

D)

$188

281)

The distance between city A and city B is 1750 mi. On a certain map, this distance is represented by

140 in. On the same map, city C and city D are 288 in. apart. What is the actual distance between

city C and city D?

281)

A)

3610 mi

B)

3600 mi

C)

720 mi

D)

3700 mi

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not

given.

282)

A =1

2(b + B)h; A =60, b =10, B =14

282)

A)

5

B)

12

C)

36

D)

140

Solve the equation.

283)

1

4x –1= – 3

4x

283)

A)

{–1}

B)

{1}

C)

{17}

D)

{–17}

Solve the inequality. Write the solution set in interval notation and graph it.

284)

–11 –2c + 3 < –5

284)

A)

[–7, –4)

B)

(–7, –4]

C)

[4, 7)

D)

(4, 7]

Write an inequality involving the variable x that describes the set of numbers graphed.

285)

A)

–6

x < –2

B)

–6< x < –2

C)

–6

x –2

D)

–6< x –2

Write the answer to the problem as an algebraic expression.

286)

The product of two numbers is 20. One of the numbers is s. Find the other number.

286)

A)

20 – s

B)

s

20

C)

20s

D)

20

s

287)

From a point on a straight road, two cars are driven in opposite directions, one at 51 miles per hour

and the other at 74 miles per hour. In how many hours will they be 500 miles apart?

287)

A)

4 hours

B)

3 hours

C)

Not enough information

D)

5 hours

Solve the equation.

288)

x +12

3=x +1

2

288)

A)

{21}

B)

21

5

C)

21

2

D)

{1}

289)

If a boat uses 17 gallons of gas to go 72 miles, how many miles can the boat travel on 85 gallons of

gas?

289)

A)

380 mi

B)

720 mi

C)

360 mi

D)

14 mi

Solve the inequality and write the solution set in interval notation.

290)

3

4t –12

290)

A)

(–, –16]

B)

[–16, )

C)

[16, )

D)

(–, 16]

Write each inequality in interval notation and graph the interval on a number line.

291)

x >2

291)

A)

[2, )

B)

(2, )

C)

(–, 2]

D)

(–, 2)

292)

A merchant has coffee worth $30 a pound that she wishes to mix with 30 pounds of coffee worth $

80 a pound to get a mixture that can be sold for $40 a pound. How many pounds of the $30 coffee

should be used?

292)

A)

60 pounds

B)

150 pounds

C)

120 pounds

D)

75 pounds

Solve the equation.

293)

–7m – 26 = –8m – 15

293)

A)

{5}

B)

{10}

C)

{12}

D)

{11}

294)

Students at East Central High School earned $366 selling pennants. They want to make $3070 for a

club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if

necessary.

294)

A)

1.2%

B)

84%

C)

8.4%

D)

11.9%

295)

Today the Center City baseball team scored 12 runs. The day before yesterday they scored y. How

many runs did they score in these two days?

295)

A)

12y runs

B)

12 + 2y runs

C)

12 + y runs

D)

12 – y runs

Solve the equation.

296)

–x = – 1

7

296)

A)

–1

7

B)

{–13}

C)

1

7

D)

{1}

Solve the inequality. Write the solution set in interval notation and graph it.

297)

–33+1

2q 4

297)

A)

[–12, 2]

B)

(–6, 1)

C)

(–12, 2)

D)

[–6, 1]

Answer:

A

Solve the problem.

298)

Derek is four times as old as Sarah. Two years ago the sum of their ages was 36. How old is each

now?

298)

A)

Derek: 36 yr old; Sarah: 145 yr old

B)

Derek: 144 yr old; Sarah: 36 yr old

C)

Derek: 38 yr old; Sarah: 142 yr old

D)

Derek: 145 yr old; Sarah: 35 yr old

Answer:

B

Solve the equation.

299)

0.3(x +10) +0.5(x –20) =65

299)

A)

{180}

B)

{90}

C)

{100}

D)

{80}

Answer:

B

73

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.

300)

About how many students would you expect to prefer lectures in a school of 250 students?

300)

A)

About 45 students

B)

About 90 students

C)

About 18 students

D)

About 50 students

Solve the problem.

301)

If a spring stretches 0.8 m when a 4–kg weight is attached to it, how much will it stretch when a

6–kg weight is attached to it?

301)

A)

1.2 m

B)

0.2 m

C)

4.2 m

D)

3.2 m

A

Solve the inequality. Write the solution set in interval notation and graph it.

302)

8(–7x + 18) – 3(x + 6) >8(–7x + 12) – 5(x + 10)

302)

A)

(–40, )

B)

(40, )

C)

(–, –40)

D)

(–, 40)

A

74

A

303)

–8(x + 1) + 27x <7(3x – 1) – 3x

303)

A)

(–1, )

B)

(1, )

C)

(–, 1)

D)

(–, –1)

Solve the problem.

304)

The parking lot at a country club has 54 cars in it. 50% of the cars are two–toned. How many cars

are two–toned?

304)

A)

27 cars

B)

108 cars

C)

11 cars

D)

270 cars

Solve the equation.

305)

16x +9x –8x =34

305)

A)

{2}

B)

1

2

C)

{17}

D)

1

17

Decide whether the proportion is true or false.

306)

1

5

7=1

35

306)

A)

True

B)

False

Solve the equation.

307)

2

5x –1

3x =5

307)

A)

{–150}

B)

{–75}

C)

{150}

D)

{75}

Use a formula to solve the problem.

308)

A square plywood platform has a perimeter which is 10 times the length of a side, decreased by 24.

Find the length of a side.

308)

A)

4

B)

10

C)

6

D)

1

Translate the sentence into an equation using the variable x.

309)

A number minus 4 equals 2.

309)

A)

4– x =2

B)

x =4– 2

C)

x =2–4

D)

x – 4 =2

Solve the equation.

310)

1

11b = –4.22

310)

A)

{–46.42}

B)

{–3.00}

C)

{5.78}

D)

{6.78}

311)

A)

3 x <7

B)

3 x 7

C)

3< x <7

D)

3< x 7

Solve the problem.

312)

Find the missing length in the similar triangles.

312)

A)

x = 4

B)

x = 11

C)

x = 12

D)

x = 16

313)

12x – 10 >2(5x – 7)

313)

A)

(–2, )

B)

[–2, )

C)

(–, –2]

D)

(–, –2)

314)

When a number is divided by 4, the result is –6.

314)

A)

–6x =4

B)

x

4= –6

C)

x

–6=4

D)

4x = –6

Solve the problem.

315)

Find the missing length in the similar triangles.

315)

A)

x = 6

B)

x = 3

C)

x = 9

D)

x = 12

Solve the equation.

316)

6x

3=4x +10

4

316)

A)

5

2

B)

5

6

C)

{12}

D)

{30}

Solve the problem.

317)

160villages is what percent of 1730 villages?

317)

A)

1081.3%

B)

0.1%

C)

0%

D)

9.2%

Solve the equation.

318)

9n – 9 =81

318)

A)

{18}

B)

{10}

C)

{85}

D)

{81}

319)

From a point on a straight road, two cars are driven in opposite directions, one at 60 miles per hour

and the other at 58 miles per hour. In how many hours will they be 472 miles apart?

319)

A)

3 hours

B)

Not enough information

C)

5 hours

D)

4 hours

320)

0.200x – 3 =1.200x

320)

A)

{–6}

B)

{–0.600}

C)

{3}

D)

{–3}

321)

–x = –8

321)

A)

{0}

B)

{–8}

C)

{1}

D)

{8}

322)

Dr. Smith can see 9 patients in 3 hours. At this rate, how long would it take him to see 27 patients?

322)

A)

81 hr

B)

8 hr

C)

27 hr

D)

9 hr

323)

The appliance store where the Jordans shop offers a 9% discount for paying cash. The Jordans

received a discount of $48. What was their total bill before the discount? Round to the nearest

dollar.

323)

A)

$4

B)

$400

C)

$5

D)

$533

Write an inequality involving the variable x that describes the set of numbers graphed.

324)

A)

x 2

B)

x >2

C)

x 2

D)

x <2

325)

At the end of the day, a storekeeper had $1680 in the cash register, counting both the sale of goods

and the sales tax of 5%. Find the amount that is the tax. Round to the nearest dollar if necessary.

325)

A)

$71

B)

$85

C)

$80

D)

$84

326)

It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now

has 60 liters of 20% solution. How many liters of this should be drained and replaced with 100%

antifreeze to get the desired strength?

326)

A)

24 L

B)

30 L

C)

15 L

D)

20.0 L

Solve the equation.

327)

z+ 3 =4

327)

A)

{1}

B)

{–1}

C)

{–7}

D)

{7}

Write the answer to the problem as an algebraic expression.

328)

Susan has 10 cats. She gave p to her lonely aunt. How many does she have left?

328)

A)

10 – p cats

B)

p– 10 cats

C)

10 + p cats

D)

p+ 10 cats

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x

on the left side.

329)

0.2x =7; multiplied

329)

A)

7

B)

0.2

C)

5

D)

–2

7

330)

Find the measure of an angle if its supplement measures 206° less than 5 times its complement.

330)

A)

83.5°

B)

8°

C)

16°

D)

167°

331)

From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10

miles per hour and Fred rides 8 miles per hour. In how many hours will they be 54 miles apart?

331)

A)

4 hours

B)

2 hours

C)

Not enough information

D)

3 hours

332)

The sum of twice a number and 3 less than the number is the same as the difference between –11

and the number. What is the number?

332)

A)

–3

B)

–1

C)

–2

D)

–4

333)

A church steeple casts a shadow 105 ft long, and at the same time a 9.0–ft post cast a shadow 5.0 ft

long. How high is the steeple? Round to the nearest unit.

333)

A)

58 ft

B)

9 ft

C)

124 ft

D)

189 ft

334)

Walt made an extra $10,000 last year from a part–time job. He invested part of the money at 4% and

the rest at 3%. He made a total of $370 in interest. How much was invested at 3%?

334)

A)

$8000

B)

$7000

C)

$3000

D)

$5000

335)

I =nE

nr + R for n

335)

A)

n =IR

Ir + E

B)

n =–R

Ir – E

C)

n = IR(Ir – E)

D)

n =–IR

Ir – E

336)

Solve F =9

5C + 32 for C

336)

A)

C =9

5(F – 32)

B)

C =5

F – 32

C)

C =5

9(F – 32)

D)

C =F – 32

9

337)

A =1

2h(b1+ b2) for b1

337)

A)

b1=A – h(b2)

2h

B)

b1=(b2)2A – h

h

C)

b1=2A – (h)(b2)

h

D)

b1=h(b2) – 2A

h

Solve the problem.

338)

Find the measure of an angle such that the sum of the measures of its complement and its

supplement is 116°.

338)

A)

72°

B)

32°

C)

77°

D)

64°

339)

Ethan could spend at most 60 minutes per day playing video games.

339)

A)

x 60

B)

x <60

C)

x >60

D)

x 60

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2

Answer Key

Testname: C2