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Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1)
There are no exercises for this objective.
1)
Answer:
Explanation:
2)
There are no exercises for this objective.
2)
Answer:
Explanation:
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
3)
Use the formula F =9
5C + 32, to find the Fahrenheit temperature (F) equivalent to the given Celsius
temperature (C).
C =10°
3)
A)
F =23.4°
B)
F =50°
C)
F = -12.2°
D)
F = -14°
Determine the area or volume as indicated. Use 3.14 for when necessary.
4)
7 in.
4 in.
Find the volume. Round to the nearest whole unit.
4)
A)
117in.3
B)
176in.3
C)
59 in.3
D)
234in.3
Solve the equation.
5)
4(x + 2) - (4x + 8) = 0
5)
A)
all real numbers
B)
x = 0
C)
x =2
D)
no solution
Determine the area or volume as indicated. Use 3.14 for when necessary.
6)
14 cm
9 cm
20 cm
Find the area.
6)
A)
63 cm2
B)
90 cm2
C)
140cm2
D)
180cm2
7)
11
Find the area.
7)
A)
94.99 in.2
B)
69.08 in.2
C)
34.54 in.2
D)
379.94 in.2
8)
diameter =6.8 m
Find the volume. Round to the nearest hundredth.
8)
A)
987.32 m3
B)
145.19 m3
C)
24.20 m3
D)
164.55 m3
Simplify.
9)
7a - 4a + 3
9)
A)
-3a + 3
B)
6a
C)
3a + 3
D)
11a + 3
For the given expression, identify the terms and the numerical coefficients.
10)
-3y6+y2-y+ 8 + 4y2
10)
A)
Constant terms: 8
Variable terms: -3y6, y2, -y, 4y2
Coefficients: -3, 1, -1, 8, 4
B)
Constant terms: -3, 8, 4
Variable terms: y6, y2, y
Coefficients: -3, 1, -1, 4
C)
Constant terms: 8
Variable terms: -3y6, y2, -y, 4y2
Coefficients: -3, 8, 4
D)
Constant terms: -3, 8, 4
Variable terms: y6, y2, y
Coefficients: -3, 8, 4
3
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
11)
-4(-2 - x) <6x +19 -11 - 2x
11)
A)
x >8
(8, )
B)
all real numbers
( , )
C)
no solution
D)
x < 0
( , 0)
D)
Solve the problem.
12)
Is p =10 a solution of p + 13 =23?
12)
A)
Yes
B)
No
4
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
13)
3- 9x + 7 -10x + 15
13)
A)
x >-9
(-9, )
B)
x 5
( , 5]
C)
x <-9
( , -9)
D)
x 5
[5, )
Simplify.
14)
- 1
3x - 1
2y + 7
6x - 3
4y - 5
6x + 5
4y
14)
A)
0
B)
1
2x + 1
2y
C)
1
2x + 1
3y
D)
2
3x + 1
2y
Use a proportion to make the conversion. Round answers to two decimal places.
15)
Convert 37,064 feet to miles.
15)
A)
195,697,920 mi
B)
14.25 mi
C)
0.14 mi
D)
7.02 mi
Simplify.
16)
-6(2x -6) - 4x +9
16)
A)
-16x +45
B)
-16x -27
C)
16x +45
D)
8x +45
Solve the problem.
17)
Use the formula d =1
2n2-3
2n to find the number of diagonals in a figure with the given number of
sides.
6 sides
17)
A)
0
B)
27
C)
18
D)
9
The results of a mathematics examination are given. Write the ratio in lowest terms.
18)
Results: 7 A's, 5 B's, 9 C's, 3 D's, 2 F's
A's to B's
18)
A)
5 : 7
B)
7 : 5
C)
2 : 1
D)
7 : 2
Simplify.
19)
-6
7x -1
7+ 2x
19)
A)
9
7x
B)
20
7x +1
7
C)
- 4
7x -1
7
D)
8
7x +1
7
20)
- 1
2x + 7
8+ 7
8x - 5
20)
A)
- 11
8x - 33
8
B)
11
8x - 33
8
C)
3
8x - 33
8
D)
3
8x + 47
8
Use the distance formula.
21)
How long would it take to drive 720 kilometers if your average rate of speed was 80 kilometers per
hour?
21)
A)
80 hr
B)
576 hr
C)
10 hr
D)
9 hr
Identify the equation as linear or nonlinear.
22)
3x + 7y =4
22)
A)
linear
B)
nonlinear
Solve the equation.
23)
29 =-8x + 5
23)
A)
x =36
B)
x =-3
C)
x =32
D)
x =8
7
The following figures are similar. For the pair, find the length of the side indicated by x.
24)
8 ft 10 ft
4 ft 5 ft
6 ft
x
24)
A)
14 ft
B)
12 ft
C)
18 ft
D)
6 ft
Determine the following ratio. Write the ratio as a fraction in lowest terms.
25)
3 miles to 5 feet
25)
A)
1:3168
B)
3:5
C)
5:3
D)
3168:1
Solve the equation and check your solution.
26)
8a =-72
26)
A)
a =80
B)
a =1
C)
a =-9
D)
a =-80
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
27)
-11x - 3 -12x - 9
27)
A)
x >-11
(-11, )
B)
x <-11
( , -11)
C)
x -6
( , -6]
D)
x -6
[-6, )
Solve the equation.
28)
2.8m - 6.2 - 8.8m =1.1 - 6m - 7.3
28)
A)
all real numbers
B)
m =1.5
C)
m = 0
D)
no solution
Use the distributive property to remove parentheses.
29)
(-3m +9n -6p)
29)
A)
3m -9n +6p
B)
3m -9n -6p
C)
-3m +9n -6p
D)
-3m +9n +6p
9
Solve the problem.
30)
Is x =9 a solution of x - 5 =4?
30)
A)
Yes
B)
No
The following figures are similar. For the pair, find the length of the side indicated by x.
31)
22 in. 33 in.
x
18 in. 27 in.
36 in.
31)
A)
55 in.
B)
36 in.
C)
44 in.
D)
41 in.
Simplify.
32)
1.4x + 1.2x - 0.2x
32)
A)
12x
B)
1.4x + 1.2x - 0.2x
C)
3.8x
D)
2.4x
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
33)
It is recommended that there be at least 13.8 square feet of ground space in a garden for every
newly planted shrub. A garden is 32.2 feet by 15 feet. Find the maximum number of shrubs the
garden can accommodate.
33)
A)
160 shrubs
B)
2 shrubs
C)
12 shrubs
D)
35 shrubs
Use the table to answer the question.
34)
The table gives the average high monthly temperature (in °F) for one year in Middleville.
Jan Feb Dec Nov Oct Mar Apr Sep May Jun
28°32°33°35°45°48°51°60° 67°75° Jul Aug
81° 85°
In what months was the average high temperature 45°F?
34)
A)
Mar, Apr, Sep, May, Jun, Jul, Aug
B)
Jan, Feb Dec, Nov, Oct
C)
Jan, Feb Dec, Nov
D)
Jan, Feb Dec, Nov, Oct, Mar
Simplify.
35)
-10(6r + 8) + 9(6r + 6)
35)
A)
-6r + 8
B)
-6r - 26
C)
-4r - 2
D)
-140r
Solve the equation and check your solution.
36)
-8.2 + x =21
36)
A)
x =29.2
B)
x =12.8
C)
x =12.3
D)
x =28.7
11
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
37)
6x - 3 >5x + 5
37)
A)
x 2
( , 2]
B)
x >8
(8, )
C)
x 2
[2, )
D)
x <8
( , 8)
Solve the equation and check your solution.
38)
-z=-4
38)
A)
z=-4
B)
z= -1
C)
z=4
D)
z=0
Identify the equation as linear or nonlinear.
39)
y - x =8
39)
A)
nonlinear
B)
linear
Determine the following ratio. Write the ratio as a fraction in lowest terms.
40)
6 nickels to 12 dollars
40)
A)
6:12
B)
40:1
C)
12:6
D)
1:40
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
41)
It is recommended that there be at least 12.4 square feet of floor space in a classroom for every
student in the class. Find the minimum floor space that 47 students require. Round to the nearest
tenth.
41)
A)
582.8 square feet
B)
12.4 square feet
C)
26.4 square feet
D)
379.0 square feet
Simplify.
42)
3x -6(x - 2y)
42)
A)
-3x - 2y
B)
2x + 12y
C)
-3x + 12y
D)
-3x - 12y
Solve the equation for y.
43)
x =7y + 9
43)
A)
y =1
7x - 9
B)
y =7x - 9
C)
y =1
7x -9
7
D)
y = x -9
7
Is the proportion set up correctly?
44)
ft
sec =ft
sec
44)
A)
Yes
B)
No
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
45)
It takes Mark 20 minutes to type and spell check 6 pages. Find how many pages he can type and
spell check in 2.5 hours. Round to the nearest tenth.
45)
A)
15 pages
B)
500 pages
C)
75 pages
D)
45 pages
46)
A bag of fertilizer covers 1000 square feet of lawn. Find how many bags of fertilizer should be
purchased to cover a rectangular lawn 160 feet by 40 feet.
46)
A)
640 bags
B)
6 bags
C)
7 bags
D)
64 bags
D)
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
47)
x - 4 <2
47)
A)
x 6
[6, )
B)
x <6
( , 6)
C)
x >6
(6, )
D)
x 6
(-, 6]
Solve the equation.
48)
1
3 (6x -9) = 6 1
3x -1
2+9
48)
A)
all real numbers
B)
x = 0
C)
x =9
4
D)
no solution
Determine whether the terms are like or unlike.
49)
6m, 8m, -14m
49)
A)
like
B)
unlike
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
50)
-4(4x + 4) <-20x - 32
50)
A)
x -4
[-4, )
B)
x <-4
( , -4)
C)
x -4
( , -4]
D)
x >-4
(-4, )
15
Use geometry formulas to solve.
51)
Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions
are 3 inches long by 5 inches wide by 9 inches high, find the volume of the smallest box that will
hold the gift.
51)
A)
17 in.3
B)
270in.3
C)
135in.3
D)
16 in.3
Solve the equation and check your solution.
52)
n
5=6
52)
A)
n =10
B)
n =1
C)
n =11
D)
n =30
Solve the equation for y.
Solve the equation and check your solution.
54)
t - 3 =10
54)
A)
t =-13
B)
t =7
C)
t =-7
D)
t =13
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
55)
The ratio of a quarterback's completed passes to attempted passes is 7 : 10. If he attempted
30 passes, find how many passes he completed. Round to the nearest whole number.
55)
A)
10 passes
B)
43 passes
C)
3 passes
D)
21 passes
Solve the equation and check your solution.
56)
8.9 + x =17.2
56)
A)
x =7.8
B)
x =26.1
C)
x =25.6
D)
x =8.3
57)
x
3=12
57)
A)
x =15
B)
x =4
C)
x =14
D)
x =36
58)
n
2=8
58)
A)
n =16
B)
n =10
C)
n =9
D)
n =4
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
59)
-5x 30
59)
A)
x -6
( , -6]
B)
x 6
[6, )
C)
x -6
[-6, )
D)
x 6
( , 6]
Identify the equation as linear or nonlinear.
60)
y =x3+ 3
60)
A)
linear
B)
nonlinear
Solve the equation.
61)
0.06y + 0.14(3000 - y) =0.42y
61)
A)
y =840
B)
y =2100
C)
y =2520
D)
y =210
Solve the equation and check your solution.
62)
- 1
21 a = 0
62)
A)
a = 0
B)
a =-21
C)
a = 1
D)
a =21
Solve the equation.
63)
5.59 -4.32x -1.8x =32.518
63)
A)
x =12.9
B)
x =-6.23
C)
x =5.4
D)
x =-4.4
64)
3(2z - 5) =5(z + 2)
64)
A)
z = -5
B)
z =25
C)
z =5
D)
z = -2
Solve the equation and check your solution.
65)
-9.3 =-3.1x
65)
A)
x =3
B)
x =-6.2
C)
x =2
D)
x =6.2
Solve the equation.
66)
10r + 10 =40
66)
A)
r =24
B)
r =3
C)
r =20
D)
r =6
67)
x
7-1=x
7
67)
A)
x = 0
B)
no solution
C)
all real numbers
D)
x =7
2
Simplify.
68)
7x +4-3x +8
68)
A)
4x +12
B)
4x - 4
C)
16x
D)
10x+12
Solve the equation.
69)
4x -5x +3x =-76
69)
A)
x =12.7
B)
x =-38
C)
x =-78
D)
x =0
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
70)
On an architect's blueprint, 1 inch corresponds to 8 feet. Find the length of a wall represented by a
line 73
4 inches long on the blueprint. Round to the nearest tenth.
70)
A)
62 feet
B)
12.5 feet
C)
96.9 feet
D)
10.3 feet
Solve the proportion for the variable by cross-multiplying.
71)
x
9.5 =0.05
5
71)
A)
x =950.00
B)
x =10.53
C)
x =0.10
D)
x =2.38
Solve the problem.
72)
In chemistry, the ideal gas law is P =KT
V where P is pressure, T is temperature, V is volume, and K
is a constant. Find the missing quantity.
V =7, P =40, K =2
72)
A)
T =560
B)
T =140
C)
T =2.86
D)
T =11.43
Determine the following ratio. Write the ratio as a fraction in lowest terms.
73)
5 inches to 12 feet
73)
A)
12:5
B)
5:12
C)
5:144
D)
144:5
Determine whether the terms are like or unlike.
74)
6, 10, -15
74)
A)
like
B)
unlike
Solve the equation.
75)
b
17 - 6 =-4
75)
A)
b =34
B)
b =-36
C)
b =36
D)
b =-34
76)
7(x + 5) = (7x + 35)
76)
A)
all real numbers
B)
x =70
C)
no solution
D)
x = 0
77)
-2x + 5(3x - 5) =-6 - 6x
77)
A)
x =- 1
B)
x =1
C)
x =- 31
19
D)
x =- 31
7
Is the proportion set up correctly?
78)
oz
hr =oz
hr
78)
A)
Yes
B)
No
Simplify.
79)
0.2 - 0.3(y +8) +0.2 -2
79)
A)
0.3y + 0.8
B)
y + 2.220446049e-16
C)
-0.3y - 9.6
D)
-0.3y - 4
Determine the ratio and write the ratio as some quantity to 1.
80)
According to a study, each week the average elementary child spends 11 hours watching television,
3 hours reading books, and 6 hours playing outside. What is the ratio of number of hours of
television watched to the number of hours reading?
80)
A)
11:8; 1.38:1
B)
11:6; 1.83:1
C)
3:11; 0.27:1
D)
11:3; 3.67:1
Solve the proportion for the variable by cross-multiplying.
81)
x
45 =2
15
81)
A)
x =6
B)
x =675
2
C)
x =8
D)
x =2
3
Solve the equation.
82)
2x
5=x
3+4
82)
A)
x =-120
B)
x =60
C)
x =120
D)
x =-60
The following figures are similar. For the pair, find the length of the side indicated by x.
83)
75 in. x 7 in. 25 in.
72 in. 24 in.
83)
A)
28 in.
B)
12 in.
C)
7 in.
D)
21 in.
Solve the equation.
84)
9x - (8x - 1) =2
84)
A)
1
17
B)
1
C)
-1
D)
-1
17
Solve the equation for y.
85)
3x + y =9
85)
A)
y =3- x
B)
y =9- x
3
C)
y =3x +9
D)
y =9-3x
Determine the area or volume as indicated. Use 3.14 for when necessary.
86)
8yd 18 yd
10 yd
14 yd
Find the area.
86)
A)
72 yd2
B)
112yd2
C)
40 yd2
D)
56 yd2
Solve the equation.
87)
13(3c - 2) =5c - 2
87)
A)
c =6
11
B)
c =14
17
C)
c = - 12
17
D)
c =12
17
Solve the equation and check your solution.
88)
x - 21 =-17
88)
A)
x =-38
B)
x =38
C)
x =4
D)
x =-4
Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
89)
It is recommended that there be at least 19 square feet of work space for every person in a
conference room. A certain conference room is 10 feet by 15 feet. Find the maximum number of
people the room can accommodate.
89)
A)
28 people
B)
8 people
C)
18 people
D)
7 people
Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.
90)
8x -10 2x -14
90)
A)
x 6
( , 6]
B)
x <- 2
3
, - 2
3
C)
x -4
[-4, )
D)
x - 2
3
, - 2
3
Solve the problem.
91)
Is x =4 a solution of 7x + 6x - 8 =44?
91)
A)
Yes
B)
No
24
Solve the equation.
92)
r + 6
5=r + 8
7
92)
A)
r =1
B)
r =-2
C)
r =-1
D)
r =2
93)
-0.50(20) + 0.40x =0.20(20 + x)
93)
A)
x =35
B)
x =80
C)
x =60
D)
x =70
Solve the problem.
94)
Use the formula C =5
9(F - 32) to find the Celsius temperature (C) equivalent to the given
Fahrenheit temperature (F).
F =680°
94)
A)
C =1256°
B)
C =395.6°
C)
C =1166.4°
D)
C =360°
Determine whether the terms are like or unlike.
95)
11b, 11, 6a
95)
A)
like
B)
unlike
Use the distance formula.
96)
Chris rode his bike at an average speed of 13.9 miles per hour for 3 hours. How far did he bike?
96)
A)
55.6 mi
B)
4.6 mph
C)
41.7 mi
D)
13.9 mi
Solve the equation.
97)
x -5(2x +9) =0
97)
A)
x =-5
B)
x =5
C)
x =- 1
D)
x =3
Use the distributive property to remove parentheses.
98)
- 5
4(8y - 4x + 16z)
98)
A)
-10y + 5x - 20z
B)
-10y - 5x - 20z
C)
-10y - 4x + 16z
D)
-10y + 5x + 20z
Solve for the indicated variable.
99)
1
a+1
b=1
c, for c
99)
A)
c =a + b
ab
B)
c =ab
a + b
C)
c = a + b
D)
c = ab(a + b)
Find the reciprocal.
100)
2
3
100)
A)
-2
3
B)
3
C)
-3
2
D)
3
2
Simplify.
101)
- 1
2x +4
7- 4
7x
101)
A)
- 1
2x
B)
- 15
14 x +4
7
C)
1
14 x - 4
7
D)
2
7x +4
7
For the given expression, identify the terms and the numerical coefficients.
102)
- 1
5x- 1
2y+ 1
10 x+ 4
5y
102)
A)
Constant terms: - 1
5, - 1
2, 1
10 , 4
5
Variable terms: x, y
Coefficients: - 1
5, - 1
2, 1
10 , 4
5
B)
Constant terms: None
Variable terms: - 1
5x, - 1
2y, 1
10 x, 4
5y
Coefficients: - 1
5, - 1
2, 1
10 , 4
5
C)
Constant terms: - 1
5, - 1
2, 1
10 , 4
5
Variable terms: x, y, x, y
Coefficients: - 1
5, - 1
2, 1
10 , 4
5
D)
Constant terms: - 1
5, - 1
2, 1
10 , 4
5
Variable terms: - 1
5x, - 1
2y, 1
10 x, 4
5y
Coefficients: - 1
5, - 1
2, 1
10 , 4
5
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
