Chapter 2 Power The Time Rate Doing Work And

Exam

Name___________________________________

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

question.

Solve the inequality and graph the solution set on a number line.

1)

y

4–2

1)

A)

[–8, )

B)

(–8, )

C)

( , –8]

D)

( , –8)

Use the addition property of inequality to solve the inequality and graph the solution set on a number line.

2)

9x – 7 >8x – 18

A)

[–25, )

B)

( , –11)

C)

(–11, )

D)

( , –25]

Let x represent the number. Write the English phrase as an algebraic expression.

3)

Eleven times a number decreased by one–third of the same number.

A)

x

3–11x

B)

11x –1

3

C)

11x –x

3

D)

11(x –1

3)

Use a formula for perimeter or area to solve the problem.

4)

8yd

9yd

13 yd

Find the area of the triangle.

A)

104 yd2

B)

56 yd2

C)

36 yd2

D)

52 yd2

Solve.

5)

The monthly cost of a certain long distance service is given by the formula C =0.08t +6.95 where

C is in dollars and t is the amount of time in minutes called in a month. Find the cost of calling

long distance for 160 minutes in a month.

A)

$22.95

B)

$12.80

C)

$18.75

D)

$19.75

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for

all real numbers.

6)

2x

5–x

3+2=2+ x

6)

A)



B)

{30}

C)

{0}

D)

{x x is a real number}

Solve the equation.

7)

1.3 – 6x = – 27.4 – 1.9x

A)

{7}

B)

{–33}

C)

{5.1}

D)

{4.8}

Solve the inequality and graph the solution set on a number line.

8)

2x + 1 <3(x – 1)

A)

(–, –4)

B)

(4, )

C)

(–, 2)

D)

(–2, )

4

Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line.

9)

y

3>4

9)

A)

( , 12)

B)

( , 12]

C)

[12, )

D)

(12, )

Solve the formula for the specified variable.

10)

P = s1+ s2+ s3 for s3

A)

s3= P + s1+ s2

B)

s3= s1+ s2– P

C)

s3= P – s1– s2

D)

s3= s1+ P – s2

5

Solve.

11)

The rectangular part of the field shown below is 116 yd long and the diameter of each semicircle

is 12 yd. Find the cost of fertilizing the field at $0.45 per square yard. Use = 3.14 and round to

the nearest cent.

A)

$677.27

B)

$634.88

C)

$829.87

D)

$364.07

12)

A rectangular carpet has a perimeter of 262 inches. The length of the carpet is 89 inches more than

the width. What are the dimensions of the carpet?

A)

76 by 97 inches

B)

110 by 21 inches

C)

120.5 by 131 inches

D)

110 by 131 inches

Use the addition property of inequality to solve the inequality and graph the solution set on a number line.

13)

x + 6 3

A)

(–, –3)

B)

(–, –3]

C)

(–, 9)

D)

[–3, )

Use the percent formula, A = PB: A is P percent of B, to solve.

14)

What percent of 100 is 2?

A)

20,000%

B)

200%

C)

2%

D)

0.02%

The pie chart below shows the number of pizzas consumed by college students in a typical month. Use the chart to

answer the question.

15)

What percent of college students consume 4 pizzas or less in a typical month?

A)

43%

B)

77%

C)

82%

D)

75%

Solve the problem.

16)

What is 6% of 10?

A)

0.6

B)

0.06

C)

6

D)

60

Use the addition property of inequality to solve the inequality and graph the solution set on a number line.

17)

3x – 4 >2x – 3

A)

(–, 1]

B)

(1, )

C)

(–7, )

D)

[1, )

Use the relationship among the three angles of any triangle to solve the problem.

18)

A triangle has angles of (4x)°, (3x +8)°, and (2x +19)°. Find the measure of each angle.

A)

53°, 51°, 68°

B)

53°, 59°, 68°

C)

17°, 53°, 68°

D)

17°, 59°, 68°

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for

all real numbers.

19)

7(x +4) +5=7x + 2

A)

{x|x is a real number}

B)

{11}

C)

{31}

D)



Solve the equation.

20)

2(4t –6) –6=22

A)

{6}

B)

{5}

C)

{4}

D)

{7}

Solve the equation using the multiplication property of equality.

21)

3

4x =21

21)

A)

87

4

B)

81

4

C)

{28}

D)

63

4

Use the percent formula, A = PB: A is P percent of B, to solve.

22)

18 is 5% of what number?

A)

36

B)

90

C)

360

D)

3600

Solve the inequality.

23)

3x 3(x +7)

A)

( , 3]

B)

( , 7]

C)



D)

( , )

Use a formula for perimeter or area to solve the problem.

24)

The length of a rectangle is 121 in. and the width is 33 in. Find its perimeter.

A)

3993 in.

B)

308 in.

C)

154 in.

D)

275 in.

Solve the equation using both the addition and multiplication properties of equality.

25)

10y – 35 =5y

A)

{–7}

B)

7

3

C)

–7

3

D)

{7}

Solve the equation.

26)

1.2x – 3.3 =0.7x + 1.15

A)

{8.9}

B)

{8.89}

C)

{8.811}

D)

{–0.112}

Use the percent formula, A = PB: A is P percent of B, to solve.

27)

1296 is what percent of 324?

A)

4%

B)

0.4%

C)

25%

D)

400%

Solve the problem.

28)

Power is the time rate of doing work and is commonly measured in watts. Power is given by the

formula P =W

t, where P is power, W is work (in joules), and t is time in seconds. If 800 watts of

power are used in 27 seconds, how much work (in joules) was done?

A)

2160 joules

B)

21,600 joules

C)

3 joules

D)

30 joules

29)

How many degrees are there in an angle that measures 8° more than the measure of its

compliment?

A)

41°

B)

86°

C)

49°

D)

94°

Solve the equation.

30)

9x + 2(–2x – 6) =2– 9x

A)

–5

7

B)

{– 1}

C)

5

2

D)

{1}

Solve the problem.

31)

The speed of a ball dropped from a tower is given by the formula f = 32t where f is in feet per

second and t is the number of seconds since the ball was dropped. Find the speed of the ball after

10 seconds.

A)

320 ft/sec

B)

32 ft/sec

C)

310 ft/sec

D)

10 ft/sec

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for

all real numbers.

32)

–8x + 6 + 6x = – 2x + 11

A)

{x|x is a real number}

B)

{5}

C)

{–6}

D)



Solve the equation.

33)

x +5= – 18

A)

{13}

B)

{–23}

C)

{23}

D)

{–13}

34)

x

4–x

5=2

34)

A)

{10}

B)

{20}

C)

{8}

D)

40

Use the relationship among the three angles of any triangle to solve the problem.

35)

One angle of a triangle is 3 times as large as another. The measure of the third angle is 105°

greater than that of the smallest angle. Find the measure of each angle.

A)

15°, 45°, 105°

B)

20°, 60°, 100°

C)

25°, 75°, 80°

D)

15°, 45°, 120°

13

Solve the equation using both the addition and multiplication properties of equality.

36)

6x – 3x – 3 = – 2x

A)

3

5

B)

–5

3

C)

– 3

D)

–3

5

Solve the equation.

37)

–19 = b – 11

A)

{–8}

B)

{30}

C)

{8}

D)

{–30}

Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line.

38)

–2x < – 1

7

38)

A)

1

14 , 

B)

1

7, 

C)

 , –1

14

D)

 , 1

7

Solve the formula for the specified variable.

39)

S = 2rh + 2r2 for h

39)

A)

h =S

2r– 1

B)

h = S – r

C)

h =S – 2r2

2r

D)

h = 2(S – r)

15

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.

40)

Three–fourths of a number is 5

6. Find the number in lowest terms.

40)

A)

3

4+ x =5

6; 1

10

B)

3

4x =5

6; 5

8

C)

3

4x =5

6; 10

9

D)

3

4x =5

6 ; 20

18

Use the formula for the area or circumference of a circle to solve the problem. Where applicable, express answers in

terms of .

41)

79 ft

Give the exact circumference.

A)

79ft

B)

39.5ft

C)

6241ft

D)

158ft

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for

all real numbers.

42)

7(x + 5) =7x –70

A)

{70}

B)

{x|x is a real number}

C)



D)

{0}

16

Use a formula for perimeter or area to solve the problem.

43)

8mi

6mi 6mi

8mi

Find the perimeter of the figure.

A)

24 mi

B)

4mi

C)

14 mi

D)

28 mi

Solve the equation.

44)

a – 13 = – 2

A)

{11}

B)

{–15}

C)

{15}

D)

{–11}

Graph the solution of the inequality on a number line.

45)

x –6

A)

B)

C)

D)

Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a

number line.

46)

5t + 7 3t + 3

A)

( , –2]

B)

[2, )

C)

( , 2]

D)

[–2, )

Use the percent formula, A = PB: A is P percent of B, to solve.

47)

68% of what number is 40.8?

A)

0.6

B)

27.744

C)

2774.4

D)

60

Solve the equation.

48)

3x + 6 =4(x + 2)

A)

{2}

B)

{–14}

C)

{14}

D)

{–2}

18

Solve the problem.

49)

A car rental agency advertised renting a luxury, full–size car for $24.95 per day and $0.29 per

mile. If you rent this car for 5 days, how many whole miles can you drive if you only have $200 to

spend?

A)

259 miles

B)

40 miles

C)

586 miles

D)

23 miles

50)

Forensic scientists use the lengths of certain bones to calculate the height of a person. When the

femur (the bone from the knee to the hip socket) is used, the following formula applies for men:

h = 69.09 + 2.24f, where h is the height and f is the length of the femur (both in centimeters). Find

the height of a man with a femur measuring 60 centimeters.

A)

4.06 cm

B)

4279.8 cm

C)

129.09 cm

D)

203.49 cm

Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a

number line.

51)

x

2+10 7

51)

A)

(–, –6]

B)

(–, 5]

C)

(–, –4)

D)

[–6, )

Solve the equation.

52)

x

5+6

5=x

7+8

7

52)

A)

{–1}

B)

{2}

C)

{1}

D)

{–2}

Solve the inequality.

53)

9x +5>9(x +3)

A)

( , 5)

B)

( , )

C)

(5, )

D)



20