Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve.
1)
x + 4.4 =11.3
1)
A)
6.9
B)
15.2
C)
6.4
D)
15.7
2)
Find the area of the figure.
6x centimeters
2)
A)
12x sq cm
B)
12x2 sq cm
C)
36x sq cm
D)
36x2 sq cm
3)
Write a product that represents the area of the rectangle. Then multiply.
5 meters
(9x – 2) meters
3)
A)
45x – 10 square meters
B)
14x – 7 square meters
C)
14x – 10 square meters
D)
45x + 10 square meters
Multiply.
4)
–11(14y)
4)
A)
–154y
B)
14y– 11
C)
3y
D)
–1114 – 11y
Evaluate the expression for the given replacement values.
5)
x2– 3y for x =5 and y = –4
5)
A)
22
B)
–2
C)
13
D)
37
Solve.
6)
A number subtracted from 16 amounts to the quotient of 12 and –4. Find the number.
6)
A)
19
B)
64
C)
13
D)
18
Solve. First combine any like terms on each side of the equation.
7)
–2
3z = –32 + 4
7)
A)
54
B)
42
C)
36
D)
48
Solve the equation.
8)
6(x – 5) – (5x – 9) =8
8)
A)
– 13
B)
29
C)
– 29
D)
– 4
2
Write the phrase as a variable expression. Use x to represent “a number.”
9)
The sum of a number and 32
9)
A)
32x
B)
x +32
C)
32 – x
D)
32
Multiply.
10)
–0.7(2x)
10)
A)
1.3x
B)
–1.4x
C)
–0.14x
D)
1.4x
Solve.
11)
x –1
9=8
9
11)
A)
7
8
B)
2
3
C)
7
9
D)
1
Evaluate the expression for the given replacement values.
12)
x–z–12.4 for x = –5 and z =6
12)
A)
–1.4
B)
–13.4
C)
–23.4
D)
11.4
Solve the equation.
13)
52 =7x – 4
13)
A)
53
B)
49
C)
11
D)
8
Multiply.
14)
2(y –8)
14)
A)
2y –16
B)
y –16
C)
2y –8
D)
2y –10
Solve the equation.
15)
–2
5x – 6 =2
15)
A)
–20
B)
–35
C)
5
D)
–10
Write the phrase as a variable expression. Use x to represent “a number.”
16)
A number subtracted from 74
16)
A)
x –74
B)
74 – x
C)
74
D)
74x
Solve. First combine any like terms on each side of the equation.
17)
6z + z =29 –8
17)
A)
3
B)
7
C)
–3
D)
–7
Write the sentence as an equation.
18)
The quotient of –9 and 3yields –3.
18)
A)
–9
3= –3
B)
–9–3= –3
C)
–9+3= –3
D)
–9(3) = –3
Multiply.
19)
3(x +5)
19)
A)
3x +15
B)
3x +8
C)
3x +5
D)
x +15
Write the phrase as a variable expression. Use x to represent “a number.”
20)
The difference of a number and 78
20)
A)
x –78
B)
78 – x
C)
78x
D)
78
x
Solve.
21)
s – 6 =4
21)
A)
–2
B)
2
C)
10
D)
–10
Simplify the expression by combining like terms.
22)
–17y – 9x – 8x
22)
A)
–17y – 1x
B)
–17y – 17x
C)
–17y + 1x
D)
–34xy
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
23)
The addends of an algebraic expression are called the of the expression.
23)
A)
like
B)
terms
C)
variable
D)
algebraic expression
Solve.
24)
–1
5r =2
24)
A)
–3
B)
–10
C)
–1
D)
–4
Write the sentence as an equation. Use x to represent “a number.“
25)
Three times a number gives 33.
25)
A)
3+ x =33
B)
x3=33
C)
3
x=33
D)
3x =33
Solve.
26)
x + 5 = –28 +9
26)
A)
–24
B)
42
C)
–42
D)
24
27)
In accounting, a company’s annual net income, I, can be computed using the relation I = R – E,
where R is the total revenue for the year and E is the total of expenses for the year. At the end of its
fiscal year, a corporation had a net income of $46,000,000. During the year, the corporation incurred
a total of $771,000,000 in expenses. What was the corporation’s total revenue for the year?
27)
A)
$725,000,000
B)
$817,000,000
C)
$827,000,000
D)
$807,000,000
Solve the equation.
28)
3x + 5 =4(x + 1)
28)
A)
9
B)
–9
C)
–1
D)
1
6
29)
–26 = –5x + 9
29)
A)
–26
B)
7
C)
3
D)
–30
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
30)
Terms that are exactly the same, except that they may have different numerical coefficients, are
called terms.
30)
A)
like
B)
combined
C)
variable
D)
simplified
Simplify the expression.
31)
7x – 3(5 – x) + 36
31)
A)
10x + 21
B)
10x + 51
C)
6x + 21
D)
4x + 51
Solve.
32)
–4y = –48
32)
A)
2
B)
–44
C)
12
D)
44
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
33)
A letter used to represent a number is called a(n) .
33)
A)
numerical coefficient
B)
algebraic expression
C)
variable
D)
like
Simplify the expression.
34)
6(5x +3) +8(x +4)
34)
A)
78x +50
B)
38x +50
C)
13x +7
D)
38x +7
B
Solve.
35)
A weather forecaster has predicted a high temperature of 3°C for tomorrow. Find this temperature
in degrees Fahrenheit. Use F =9
5C + 32.
35)
A)
33.7°F
B)
–30.3°F
C)
–26.6°F
D)
37.4°F
D
Simplify the expression.
36)
73(268x + 596) – 2950
36)
A)
19,564x – 40,558
B)
19,564x – 2354
C)
341x – 2354
D)
19,564x + 40,558
D
8
C
37)
12(3z +5) –2
37)
A)
36z +3
B)
15z +15
C)
30z +50
D)
36z +58
Write the phrase as a variable expression. Use x to represent “a number.”
38)
The quotient of 49 and a number
38)
A)
49 – x
B)
x –49
C)
x
49
D)
49
x
Solve.
39)
7z + –1=8z
39)
A)
–1
B)
6
C)
1
D)
0
Simplify the expression by combining like terms.
40)
–2.5y + 6 + 9y – 2.6
40)
A)
6.5y + 3.4
B)
–22.5y – 15.6
C)
–2.5y + 9y + 6 – 2.6
D)
9.9
Solve the equation.
41)
1.4x + 1.6 = –31.3 + 6.1x
41)
A)
5.4
B)
–38
C)
5.6
D)
7
9
Write the sentence as an equation. Use x to represent “a number.“
42)
Ten times the sum of –70 and a number is equal to 30.
42)
A)
10 + x + (–70) =30
B)
x +10(–70) =30
C)
10x + (–70) =30
D)
10(–70 + x) =30
Solve.
43)
Find how much fencing will a rancher need to enclose a rectangular lot 94 feet by 50 feet.
43)
A)
288 ft
B)
144 ft
C)
4700 ft
D)
576 ft
Solve the equation.
44)
3(y + 2) =4(y – 7)
44)
A)
–34
B)
34
C)
–22
D)
22
Solve. First combine any like terms on each side of the equation.
45)
8x – 12x =42 –18
45)
A)
6
B)
–4
C)
–6
D)
4
Write the sentence as an equation.
46)
The difference of –29 and 9is –38.
46)
A)
29 +9=38
B)
–29 –9=38
C)
29 –9=38
D)
–29 –9= –38
47)
Evaluate: 7x + 2
2y when x =4 and y = –5
47)
A)
4
B)
– 4
C)
3
D)
– 3
Solve the equation.
48)
6=2x – 8
48)
A)
1
B)
– 1
C)
–7
D)
7
Solve.
49)
Find the volume. Use V = lwh.
9 m
3x m5.3 m
49)
A)
47.7x cu m
B)
143.1x cu m
C)
243x cu m
D)
252.81x cu m
50)
At a particular business it is required that the temperature be kept at 68°F, but the thermostat is
calibrated in degrees Celsius. Find the temperature to be set in degrees Celsius. Use C =5
9(F – 32)
and round to the nearest tenth of a degree if necessary.
50)
A)
128.8° C
B)
154.4° C
C)
21° C
D)
20° C
Solve the equation.
51)
1
4x +40 = 0
51)
A)
10
B)
–10
C)
–160
D)
160
Write the phrase as a variable expression. Use x to represent “a number.”
52)
The difference of 3 times a number, and 4
52)
A)
3x –4
B)
4–3x
C)
3–4x
D)
4x –3
A
Simplify the expression.
53)
3(3x – 5) – 7x
53)
A)
2x – 15
B)
16x + 15
C)
2x + 15
D)
16x – 15
A
Simplify the expression by combining like terms.
54)
–4a – 0.3 + 1.2b + 6a + 7 + 8b – 2a
54)
A)
2a – 6.8b + 6.7
B)
9.2b + 6.7
C)
4a + 9.2b + 6.7
D)
8.9b + 7
B
Solve the equation.
55)
24 – 11x = –7x
55)
A)
6
B)
96
C)
–96
D)
–6
A
C
Simplify the expression.
56)
5(4 – x) + 7
56)
A)
27 –5x
B)
13 –5x
C)
13 +5x
D)
27 – x
Solve.
57)
x –78,863 =81,038
57)
A)
159,901
B)
3825
C)
–159,901
D)
–3825
A
Write the sentence as an equation. Use x to represent “a number.“
58)
Seven times a number is equal to –56.
58)
A)
7+ x = –56
B)
7x = –56
C)
x7= –56
D)
7
x= –56
B
Solve.
59)
x +1
7=6
7
59)
A)
5
7
B)
5
6
C)
4
7
D)
1
A
60)
–9= a + 7
60)
A)
–2
B)
16
C)
–16
D)
2
C
13
A
Multiply.
61)
4
5(–10n)
61)
A)
12n
B)
–12n
C)
–8n
D)
8n
Evaluate the expression for the given replacement values.
62)
3x – y
2z for x = –4, y =5, and z = –2
62)
A)
–7
4
B)
–17
4
C)
17
4
D)
7
4
Write the phrase as a variable expression. Use x to represent “a number.”
63)
6 more than 9 times a number
63)
A)
15x
B)
6x +9
C)
9(6 + x)
D)
9x +6
Solve.
64)
Nine times a number, added to 5 is 23. Find the number.
64)
A)
2
B)
162
C)
–2
D)
18
65)
Multiply: –7(9y + 4)
65)
A)
–16y – 11
B)
2y – 3
C)
–63y – 28
D)
–91y
14
Write the sentence as an equation. Use x to represent “a number.“
66)
A number added to –10 gives –29.
66)
A)
–10 + x = –29
B)
x – 29 = –10
C)
–10 – 29 = x
D)
x = –10 + 29
Solve.
67)
A lawn is in the shape of a trapezoid with a height of 70 feet and bases of 90 feet and 240 feet. Find
the area of the lawn. Use A =1
2· h · (B + b).
67)
A)
46,200 sq ft
B)
11,550 sq ft
C)
23,100 sq ft
D)
5775 sq ft
Write the phrase as a variable expression. Use x to represent “a number.”
68)
A number less 30
68)
A)
30x
B)
30
x
C)
x –30
D)
30 – x
Solve.
69)
–2x + 3 =15
69)
A)
–6
B)
14
C)
10
D)
18
70)
y – 12.1 =2.1
70)
A)
13.7
B)
9.5
C)
10
D)
14.2
71)
8x – 5 – 7x – 15 =29
71)
A)
49
B)
–49
C)
19
D)
–19
Simplify the expression.
72)
4(x – 1) + 9x
72)
A)
5x + 4
B)
–5x – 4
C)
13x – 4
D)
13x + 4
Solve.
73)
x + 4.9 =23
73)
A)
18.1
B)
17.6
C)
27.9
D)
27.4
74)
Translate the following phrase into mathematical expressions. Use x to represent “a number.”
a. The product of a number and 12
b. Ten times a number subtracted from 21
74)
A)
a. x +12
b. 10x –21
B)
a. 12x
b. 10x –21
C)
a. 12x
b. 21 –10x
D)
a. x +12
b. 21 –10x
75)
The difference of three times a number and five times the same number is 8.
75)
A)
–8
B)
8
C)
–4
D)
4
Solve the equation.
76)
2(x – 1) =6
76)
A)
–4
B)
4
C)
–2
D)
2
77)
6+ 2x =18
77)
A)
3
B)
14
C)
10
D)
6
D
Solve.
78)
2c – 11 – c =9
78)
A)
20
B)
–2
C)
–20
D)
2
A
Multiply.
79)
3(7x + 6)
79)
A)
39x
B)
10x + 9
C)
21x + 18
D)
10x + 18
C
Solve. First combine any like terms on each side of the equation.
80)
2x =2.5 – 0.9
80)
A)
0.08
B)
0.8
C)
0.9
D)
8
B
B
81)
5
6x =33 + 7
81)
A)
39.6
B)
48
C)
56.4
D)
31.2
Solve.
82)
–3
4x = –21
82)
A)
7
4
B)
–7
4
C)
–28
D)
28
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
83)
Replacing a variable in an expression by a number and then finding the value of the expression is
called for the variable.
83)
A)
simplified
B)
evaluating the expression
C)
numerical coefficient
D)
combined
Solve the equation.
84)
–2x – 30 =3x + 15
84)
A)
6
B)
9
C)
–6
D)
–9
18
Simplify the expression by combining like terms.
85)
8a –5a – a –13
85)
A)
3a – a –13
B)
3a – 14
C)
2a –13
D)
3a –13
Solve.
86)
The product of a number and –6gives twice the sum of that number and –68. Find the number.
86)
A)
17
B)
–6
C)
–17
D)
6
Simplify the expression.
87)
4x + 6(x + 2) – 3
87)
A)
–2x + 9
B)
10x + 15
C)
10x + 9
D)
10x – 15
Write the phrase as a variable expression. Use x to represent “a number.”
88)
The quotient of 5 and a number, decreased by 7
88)
A)
5
x–7
B)
7–5
x
C)
x
5–7
D)
5
x –7
Solve.
89)
1
2t = –14
89)
A)
–15
B)
7
C)
–16
D)
–28
90)
Alex sold his used motorcycle and accessories for $728. If he received seven times as much money
for the motorcycle as he did for the accessories, find how much money he received for the
motorcycle.
90)
A)
$101
B)
$5096
C)
$91
D)
$637
91)
Mary and her brother John collect foreign coins. Mary has four times the number of coins that John
has. Together they have 150 foreign coins. Find how many coins Mary has.
91)
A)
30 coins
B)
24 coins
C)
114 coins
D)
120 coins
D
Write the sentence as an equation.
92)
Five times the difference of –13 and 9amounts to –110.
92)
A)
5(–13
9 ) = –110
B)
5(–13) –9= –110
C)
5(–13 –9) = –110
D)
5(–13) +9= –110
C
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
93)
A combination of operations on variables and numbers is called a(n) .
93)
A)
algebraic expression
B)
numerical coefficient
C)
variable
D)
terms
A
D
94)
By the property of equality, the same number may be added to or subtracted from
both sides of an equation without changing the solution of the equation.
94)
A)
distributive
B)
addition
C)
multiplication
D)
evaluating the expression
Solve the equation.
95)
4(y – 3) =6y – 12
95)
A)
–12
B)
–24
C)
12
D)
0
96)
Simplify 8x + 5 – 3x – 3 by combining like terms.
96)
A)
5x + 2
B)
11x + 2
C)
7x
D)
7
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
97)
A(n) is of the form expression = expression.
97)
A)
solution
B)
equation
C)
algebraic expression
D)
numerical coefficient
Solve.
98)
x – 12 = –3
98)
A)
–15
B)
9
C)
–9
D)
15
Multiply.
99)
1
5(–10y –9)
99)
A)
–2y –9
B)
2y –9
5
C)
–2y +9
5
D)
–2y –9
5
Simplify the expression by combining like terms.
100)
–6y + 4 – 7 + 4 + y – 1
100)
A)
–7y + 1
B)
–5y – 1
C)
–7y
D)
–5y
D
Multiply.
101)
4(17y)
101)
A)
68 +y
B)
68 +4y
C)
68y
D)
21y
C
Solve the equation.
102)
3x –0.1 =2.3
102)
A)
8
B)
0.9
C)
0.08
D)
0.8
D
Simplify the expression by combining like terms.
103)
3x –9x + x
103)
A)
–6x
B)
–7x
C)
–5x
D)
–6x + x
C
22
D
Solve.
104)
The difference of a number and 40 is –60 less nine times the number. Find the number.
104)
A)
2
B)
–10
C)
10
D)
–2
Evaluate the expression for the given replacement values.
105)
–x– z for x= –3 and z =9
105)
A)
–6
B)
12
C)
–12
D)
6
Solve.
106)
In a high school graduating class, there are 133 more women than men. Find the number of men if
the total number of graduates is 395.
106)
A)
131 men
B)
264 men
C)
133 men
D)
395 men
Multiply.
107)
2.5(3y –0.2)
107)
A)
7.5y +0.5
B)
7.5y –0.5
C)
7.5y –0.2
D)
7.5y –5
Write the sentence as an equation. Use x to represent “a number.“
108)
The product of 9 and the sum of –207 and a number is 81.
108)
A)
9(–207)+ x =81
B)
9x + (–207) =81
C)
9(–207+ x) =81
D)
9x(–207) =81
Simplify the expression.
109)
3(–2x +2) – 5(x – 3)
109)
A)
15x
B)
–21x + 21
C)
–11x + 21
D)
–11x – 1
Solve.
110)
5x –4x –8= –8
110)
A)
–8
B)
8
C)
0
D)
–16
C
Simplify the expression by combining like terms.
111)
8x + x –4x + x
111)
A)
–x2+4x
B)
4x
C)
x2+4x
D)
6x
D
112)
2b – 8b
112)
A)
–10b
B)
–6b2
C)
–6b
D)
6b
C
Write the sentence as an equation. Use x to represent “a number.“
113)
Six times the difference of 5 and a number equals –30.
113)
A)
6(5 – x) = –30
B)
6x –5= –30
C)
6(5) – x = –30
D)
6(x –5) = –30
A
C
Write the phrase as a variable expression. Use x to represent “a number.”
114)
3 decreased by 7 times a number
114)
A)
3x –7
B)
7x –3
C)
3–7x
D)
7–3x
Solve.
115)
20 =5(4 +6y)
115)
A)
20
3
B)
0
C)
4
3
D)
6
B
Write the phrase as a variable expression. Use x to represent “a number.”
116)
A number divided by 17
116)
A)
17x
B)
x –17
C)
x
17
D)
17
x
C
Solve.
117)
5x =20
117)
A)
25
B)
15
C)
4
D)
100
C
Simplify the expression.
118)
8(3x – 4) – 2(x – 2)
118)
A)
22x – 28
B)
22x – 6
C)
22x – 36
D)
8x – 28
A
C
Decide whether the given number is a solution of the given equation.
119)
Is 12 a solution of k – 11 =1 ?
119)
A)
Yes
B)
No
Solve.
120)
Five times the sum of some number plus 2 is equal to 7 times the number minus 2.
120)
A)
–12
B)
12
C)
–6
D)
6
Simplify the expression by combining like terms.
121)
3y + y –7y
121)
A)
–4y + y
B)
–4y
C)
–5y
D)
–3y
Solve.
122)
How much interest will $3000 in a savings account earn in 5 years at United Bank, which pays 8%
simple interest: Use I = prt.
122)
A)
$1200
B)
$12,000
C)
$120,000
D)
$120
Decide whether the given number is a solution of the given equation.
123)
Is 5 a solution of 6x =35 – x?
123)
A)
Yes
B)
No
Solve.
124)
3+2(4n – 1) =33
124)
A)
7
2
B)
5
C)
4
D)
19
4
26
125)
Find the volume of a box that measures 2 inches by 8 inches by 5 inches. Use V = lwh.
125)
A)
80 cu in.
B)
20 cu in.
C)
200 cu in.
D)
128 cu in.
126)
11w=10 +10w
126)
A)
–10
B)
20
C)
11
D)
10
Write the phrase as a variable expression. Use x to represent “a number.”
127)
A number times 7
127)
A)
7– x
B)
7
x
C)
7x
D)
7+ x
Solve.
128)
The president of a certain university makes three times as much money as one of the department
heads. If the total of their salaries is $260,000, find each worker’s salary.
128)
A)
president’s salary =$65,000; department head’s salary =$195,000
B)
president’s salary =$195,000; department head’s salary =$65,000
C)
president’s salary =$130,000; department head’s salary =$65,000
D)
president’s salary =$19,500; department head’s salary =$6500
129)
Find the area of the figure.
6 feet
(x +3) feet
129)
A)
(6x +3) sq ft
B)
(6x +18) sq ft
C)
(x +18) sq ft
D)
(6x +9) sq ft
Evaluate the expression for the given replacement values.
130)
7xz
30 for x = –5 and z =6
130)
A)
–7
B)
35
C)
42
D)
7
Decide whether the given number is a solution of the given equation.
131)
Is –12 a solution of 12 + x = 0 ?
131)
A)
Yes
B)
No
Write the sentence as an equation.
132)
The product of –10 and –38 is equal to 380.
132)
A)
–10(–38) =380
B)
–10
–38 =380
C)
10(38) =380
D)
–10 –38 =380
Solve the equation.
133)
6p – 7 =5p + 5
133)
A)
12
B)
13
C)
–1
D)
11
28
Solve.
134)
The difference of a number and 7 is the same as 39 less the number. Find the number.
134)
A)
23
B)
16
C)
–23
D)
–16
Write the phrase as a variable expression. Use x to represent “a number.”
135)
The sum of 6, a number, and the product of 3 and the number
135)
A)
3x(6+ x)
B)
6+ x +3x
C)
6+3x
D)
6x +3x
Answer:
B
Explanation:
A)
B)
Solve.
136)
7x –19 – 6x = –1
136)
A)
–20
B)
18
C)
20
D)
–18
Answer:
B
Explanation:
A)
B)
Write the sentence as an equation. Use x to represent “a number.“
137)
Two subtracted from a number equals 27.
137)
A)
2– x =27
B)
27 –2= x
C)
2+ x =27
D)
x –2=27
Answer:
D
Explanation:
A)
B)
Decide whether the given number is a solution of the given equation.
138)
Is 19 a solution of 7c + 5 –6c = –22+ 8 ?
138)
A)
Yes
B)
No
Answer:
B
Explanation:
A)
B)
Solve.
139)
–8x =16
139)
A)
–24
B)
24
C)
1
D)
–2
Answer:
D
Explanation:
A)
B)
Answer:
A
Explanation:
A)
B)
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
140)
The number factor of a variable term is called the .
140)
A)
terms
B)
variable
C)
numerical coefficient
D)
like
Simplify the expression.
141)
–2(5y +4) –4
141)
A)
–10y –12
B)
10y +4
C)
–10y
D)
–10y –16
Solve.
142)
b – 5 =7
142)
A)
–2
B)
2
C)
12
D)
–12
143)
–2– 30 = m – 13
143)
A)
–19
B)
45
C)
19
D)
–45
144)
Find the area of a rectangular room that is 25 feet long and 12 feet wide.
144)
A)
74 sq ft
B)
600 sq ft
C)
37 sq ft
D)
300 sq ft
145)
4.1 – 2x = –10.9
145)
A)
15
B)
7.5
C)
7
D)
8.5
146)
Find the area of the figure.
14 miles
(2x + 1) miles
(5x – 4) miles
5 miles
146)
A)
(53x + 34) sq mi
B)
(14x + 22) sq mi
C)
(53x – 6) sq mi
D)
(18x – 11) sq mi
C
Solve the equation.
147)
6t + 30 = 0
147)
A)
0
B)
–5
C)
5
D)
–30
B
Multiply.
148)
–9(6a + 2)
148)
A)
–72a
B)
–54a – 18
C)
–3a – 7
D)
–15a – 11
B
31
B
Solve.
149)
11 = n – 20
149)
A)
9
B)
–31
C)
–9
D)
31
Simplify the expression by combining like terms.
150)
3
8+1
2y –1
2+1
7y
150)
A)
–1
8+1
14y
B)
–1
8+9
14y
C)
7
8+9
14y
D)
–3
4+1
14y
Solve.
151)
Six times the sum of a number and –144equals –24. Find the number.
151)
A)
140
B)
–28
C)
–148
D)
20
Write the phrase as a variable expression. Use x to represent “a number.”
152)
9 less than 7 times a number
152)
A)
7–9x
B)
9–7x
C)
7x –9
D)
9x –7
Write the sentence as an equation. Use x to represent “a number.“
153)
The quotient of 33 and a number gives 11.
153)
A)
x
33 =11
B)
33 – x =11
C)
33x =11
D)
33
x=11
32
Write the sentence as an equation.
154)
The sum of –51 and 11 is equal to –40.
154)
A)
51 +11 = –40
B)
–51 +11 = –40
C)
–51 –11 = –40
D)
51 +11 =40
Solve.
155)
Seven times a number, added to –12, is –40. Find the number.
155)
A)
–4
B)
–28
C)
4
D)
–196
Write the sentence as an equation. Use x to represent “a number.“
156)
Two subtracted from eight times a number amounts to 126.
156)
A)
2–8x =126
B)
2(8 – x) =126
C)
8(x –2) =126
D)
8x –2=126
Solve.
157)
4
3x = –20
157)
A)
–20
B)
–15
C)
15
D)
–80
3
Write the phrase as a variable expression. Use x to represent “a number.”
158)
36 decreased by a number
158)
A)
36 – x
B)
36x
C)
x –36
D)
36
x
Simplify the expression by combining like terms.
159)
6b – 4b + 2
159)
A)
–2b + 2
B)
10b + 2
C)
4b
D)
2b + 2
Write the sentence as an equation. Use x to represent “a number.“
160)
Five added to seven times a number amounts to 86.
160)
A)
7(x +5) =86
B)
7x =5+86
C)
(5 +7)x =86
D)
5+7x =86
Solve.
161)
A decorator wishes to put a wallpaper border around a rectangular room that measures 6 feet by 5
feet. Find the room‘s perimeter.
161)
A)
20 ft
B)
22 ft
C)
2 ft
D)
11 ft
162)
4x – 5 = –25
162)
A)
–20
B)
–5
C)
–24
D)
1
Decide whether the given number is a solution of the given equation.
163)
Is 0 a solution of h –3= –3?
163)
A)
Yes
B)
No
Simplify the expression.
164)
4(x + 3) + 10
164)
A)
4x + 2
B)
x + 22
C)
4x + 13
D)
4x + 22
34
Solve.
165)
During an intramural basketball game, Team A scored 19 fewer points than Team B. Together, both
teams scored a total of 143 points. How many points did Team A score during the game?
165)
A)
62 points
B)
71 points
C)
63 points
D)
81 points
166)
–5
4x =5
16
166)
A)
– 1
B)
1
4
C)
–1
4
D)
–25
64
D)
167)
10y – 1 =7y + 15
167)
A)
5
B)
14
3
C)
16
3
D)
–16
3
D)
168)
y +9
10 =1
10
168)
A)
–4
5
B)
–1
C)
–8
9
D)
–7
10
D)
169)
A high school graduating class is made up of 467 students. There are 197 more girls than boys.
How many boys are in the class?
169)
A)
197 boys
B)
135 boys
C)
467 boys
D)
332 boys
D)
D)
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
170)
To multiply –3(2x + 1), we use the property.
170)
A)
multiplication
B)
distributive
C)
evaluating the expression
D)
addition
Solve.
171)
0.2 = –8z
171)
A)
–40
B)
–4
C)
–0.025
D)
–0.25
C
Solve the equation.
172)
3(4x + 1) – 47=7x + 1
172)
A)
45
B)
9
C)
225
D)
–9
B
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
173)
By the property of equality, we may multiply or divide both sides of an equation by
any nonzero number without changing the solution of the equation.
173)
A)
addition
B)
multiplication
C)
distributive
D)
evaluating the expression
B
B
Simplify the expression by combining like terms.
174)
6x – 2x
174)
A)
–12x
B)
4+ x
C)
8x
D)
4x
Solve.
175)
0.4x = –40
175)
A)
–1000
B)
–100
C)
–400
D)
–10
Decide whether the given number is a solution of the given equation.
176)
Is 6 a solution of y + 10 =16 ?
176)
A)
Yes
B)
No
Evaluate the expression for the given replacement values.
177)
x – y + z for x =18, y =6, z =1
177)
A)
11
B)
25
C)
14
D)
13
Solve.
178)
Center City East Parking Garage has a capacity of 255 cars more than Center City West Parking
Garage. If the combined capacity for the two garages is 1221 cars, find the capacity for each garage.
178)
A)
Center City East: 483 cars
Center City West: 738 cars
B)
Center City East: 738 cars
Center City West: 483 cars
C)
Center City East: 473 cars
Center City West: 748 cars
D)
Center City East: 748 cars
Center City West: 473 cars
179)
For three days in a row, volunteers picked up trash on a particular beach. They picked up a total of
867 pounds. On the second day they collected 30 pounds more than on the first day. On the third
day, they picked up 21 pounds less than on the first day. How many pounds of trash did they pick
up on the first day?
179)
A)
292 pounds
B)
306 pounds
C)
286 pounds
D)
756 pounds
Solve the equation.
180)
11x – 7 =4x – 56
180)
A)
7
B)
8
C)
–7
D)
–8
Solve.
181)
x +2
5= – 1
25
181)
A)
–3
25
B)
–11
25
C)
–1
10
D)
–56
125
Decide whether the given number is a solution of the given equation.
182)
Is 14 a solution of 2(x –6) =18?
182)
A)
Yes
B)
No
Write the sentence as an equation. Use x to represent “a number.“
183)
A number subtracted from –7equals 77.
183)
A)
–7= x –77
B)
–7+ x =77
C)
–7– x =77
D)
x – (–7) =77
Evaluate the expression for the given replacement values.
184)
9+ 2xfor x =7
184)
A)
11
B)
28
C)
23
D)
5
Solve the equation.
185)
1
5x + 7 =3
185)
A)
15
B)
50
C)
–20
D)
–55
Solve.
186)
9
2x = – 5
9
186)
A)
–5
2
B)
10
81
C)
5
2
D)
–10
81
Evaluate the expression for the given replacement values.
187)
x +2z for x =2 and z = –7
187)
A)
–5
B)
16
C)
9
D)
–12
Solve.
188)
In real estate, a house’s selling price P is found by adding the real estate agent’s commission C to
the amount A that the seller of the house receives: P = A + C. Jorie’s house sold for $210,000. Her
real estate agent received a commission of $12,600. How much did Jorie receive?
188)
A)
$197,500
B)
$197,400
C)
$222,600
D)
$197,300
Write the phrase as a variable expression. Use x to represent “a number.”
189)
77 plus a number
189)
A)
77 – x
B)
77
C)
77x
D)
77 + x
D)
Solve the equation.
190)
–1(r+ 8) = –10
190)
A)
18
B)
2
C)
–2
D)
–18
D)
Decide whether the given number is a solution of the given equation.
191)
Is –19 a solution of 3c + 4 –2c = –24 + 9 ?
191)
A)
Yes
B)
No
Solve.
192)
Luke’s age is 46, which is 26 less than 12 times Levi’s age. Find Levi’s age.
192)
A)
6 years old
B)
5 years old
C)
7 years old
D)
72 years old
D)
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
193)
A(n) of an equation is a value for the variable that makes the equation a true
statement.
193)
A)
numerical coefficient
B)
variable
C)
solution
D)
constant
D)
194)
A term that is a number only is called a(n) .
194)
A)
variable
B)
equation
C)
numerical coefficient
D)
constant
Solve.
195)
Seven times a number added to 5 amounts to 33 added to the product of 3 and the number.
195)
A)
7
B)
–7
C)
–28
D)
28
Solve. First combine any like terms on each side of the equation.
196)
–85 + 5 =10x
196)
A)
–90
B)
3
C)
–8
D)
–86
Solve the equation.
197)
3–t=12
197)
A)
–10
B)
9
C)
16
D)
–9
Simplify the expression by combining like terms.
198)
8x + 7 +4x + x + 3
198)
A)
12x + 10
B)
11x + 10
C)
12x – 10
D)
13x + 10
41
Solve.
199)
4x + 3 – 3x =13 – 21
199)
A)
–37
B)
37
C)
–11
D)
11
Write the phrase as a variable expression. Use x to represent “a number.”
200)
The product of 4 and a number
200)
A)
4
x
B)
4– x
C)
4+ x
D)
4x
Fill in the blank with one of the words or phrases listed below.
variable addition constant algebraic expression equation
terms simplified multiplication evaluating the expression solution
like combined distributive numerical coefficient
201)
An algebraic expression is when all like terms have been .
201)
A)
simplified, combined
B)
variable, combined
C)
combined, simplified
D)
variable, simplified
Simplify the expression by combining like terms.
202)
7x – 3 + 3x + 9
202)
A)
16x
B)
4x + 6
C)
16
D)
10x + 6
Solve the equation.
203)
4n – 9 =31
203)
A)
10
B)
36
C)
16
D)
40
Solve. First combine any like terms on each side of the equation.
204)
–57 + (–19) =3x + x
204)
A)
–19
B)
60
C)
–60
D)
1
205)
13 – (–7) =5y
205)
A)
19
B)
15
C)
9
D)
4
Write the sentence as an equation.
206)
The quotient of 48 and three times 8yields 2.
206)
A)
48
2=3(8)
B)
48
3(8) =2
C)
48
3=2(8)
D)
48 –3(8) =2
Solve the equation.
207)
18 – 6x = –6– 3x
207)
A)
8
B)
6
C)
–6
D)
–8
Solve.
208)
Mary and her brother John collect foreign coins. Mary has four times the number of coins that John
has. Together they have 175 foreign coins. Find how many coins Mary has.
208)
A)
133 coins
B)
35 coins
C)
28 coins
D)
140 coins
Choose all numbers for x from the given list that make the statement true.
209)
Simplify: 6(2z +3) – z –26
209)
A)
11z + 8
B)
13z – 8
C)
11z – 8
D)
13z + 44
Solve.
210)
In retailing, the retail price P of an item can be computed using the equation P = C + M, where C is
the wholesale cost of the item and M is the amount of markup. A retailer sells a game for $57. If his
wholesale cost for the game was $29, what was his markup?
210)
A)
$29
B)
$27
C)
$86
D)
$28
211)
If the height of a triangularly shaped jib sail is 15 feet and its base is 3 feet, find the area of the sail.
Use A =1
2· b · h.
211)
A)
18 sq ft
B)
90 sq ft
C)
22.5 sq ft
D)
45 sq ft
Simplify the expression by combining like terms.
212)
5b + 5a – 5c – 3b + 2a
212)
A)
7a + 2b – 5c
B)
7a + 2b
C)
3a + 2b – 5c
D)
2a + 7b – 5c
Solve.
213)
7z = –42
213)
A)
1
B)
–49
C)
49
D)
–6
44
Write the sentence as an equation.
214)
Nineteen subtracted from –22 yields –41.
214)
A)
19 – 22 = –41
B)
–22 –19 = –41
C)
22 +19 =41
D)
19 – 22 =41
Solve.
215)
The equation d = r · t describes the relationship between distance d in miles, rate in miles per hour,
and time in hours. The distance between two corporate offices, by road, is approximately 1170
miles. How long will it take to drive from one office to the other if the driver maintains a speed of
65 miles per hour?
215)
A)
1105 hr
B)
19 hr
C)
18 hr
D)
17 hr
Write the phrase as a variable expression. Use x to represent “a number.”
216)
35 subtracted from a number
216)
A)
35x
B)
35
C)
35 – x
D)
x –35
Solve. First combine any like terms on each side of the equation.
217)
–6x + 7x =5
217)
A)
–5
B)
5
13
C)
–5
13
D)
5
Solve.
218)
Find the area of a circular braided rug with a radius of 7 feet. Use A =r2 and
3.14.
218)
A)
87.92 sq ft
B)
43.96 sq ft
C)
615.44 sq ft
D)
153.86 sq ft
219)
Nine times the difference of 8 and a number yields 162. Find the number.
219)
A)
–10
B)
90
C)
–90
D)
10
Evaluate the expression for the given replacement values.
220)
xy
z+5
12 for x = –4, y = –3, and z =4
220)
A)
3
B)
–41
12
C)
41
12
D)
– 3
Solve.
221)
2x – 7 = x – 14
221)
A)
–7
B)
–7
2
C)
7
D)
–7
3
Solve the equation.
222)
–2x – 4 =10
222)
A)
–7
B)
1
C)
16
D)
20
223)
9x + 29 =2x + 1
223)
A)
–4
B)
30
7
C)
–30
7
D)
4
46
224)
36 =9+ 3x
224)
A)
28
B)
3
C)
9
D)
24
Write the phrase as a variable expression. Use x to represent “a number.”
225)
145 less a number
225)
A)
145– x
B)
x + 145
C)
145x
D)
145
A
D)
Solve.
226)
–3y = 0
226)
A)
3
B)
1
C)
0
D)
–3
C
D)
227)
6(4x +3) = 2(11x +9)
227)
A)
2
B)
0
C)
18
D)
–18
B
D)
Solve the equation.
228)
3(y + 5) –2(2y – 5) =25
228)
A)
0
B)
–25
C)
25
D)
–5
A
D)
47
C
D)
Evaluate the expression for the given replacement values.
229)
8+ 2y
zfor y = –4 and z =2
229)
A)
0
B)
– 8
C)
8
D)
2
Write the phrase as a variable expression. Use x to represent “a number.”
230)
The total of a number and 128
230)
A)
x +128
B)
128
C)
128– x
D)
128x
Solve.
231)
9u = –144
231)
A)
–153
B)
–16
C)
153
D)
1
Solve the equation.
232)
15(5x – 5) – 3x = –8
232)
A)
–67
72
B)
67
72
C)
83
72
D)
67
78
Solve. First combine any like terms on each side of the equation.
233)
3y + y =8
233)
A)
2
B)
–2
C)
–3
D)
3
48
Solve.
234)
–3.1y = –15.5
234)
A)
–12.4
B)
5
C)
12.4
D)
2
Solve the equation.
235)
5
6n =1
6n +2
3
235)
A)
–2
3
B)
2
3
C)
1
D)
– 1
Simplify the expression.
236)
3x + 2(x – 3)
236)
A)
4x – 6
B)
5x – 6
C)
5x + 6
D)
6x – 1
Decide whether the given number is a solution of the given equation.
237)
Is 10 a solution of 16 – p =6 ?
237)
A)
Yes
B)
No
Evaluate the expression for the given replacement values.
238)
3x – 2
yfor x =2 and y = –2
238)
A)
4
B)
–2
C)
8
D)
–4
239)
5+ (3y –2) for y = –3
239)
A)
–2
B)
0
C)
–6
D)
–10
Solve.
240)
Find the area of a rectangular plot of land that measures 80 feet by 110 feet.
240)
A)
880 sq ft
B)
380 sq ft
C)
190 sq ft
D)
8800 sq ft
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11