Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the amount.
1)
What number is 4000% of 237?
1)
A)
9480
B)
948
C)
948,000
D)
94,800
Solve the problem.
2)
Find the length of a rectangular lot with a perimeter of 100 meters if the length is 8 meters more
than the width. (P = 2L + 2W)
2)
A)
58 m
B)
50 m
C)
29 m
D)
21 m
3)
One side of a triangle is twice as long as a second side. The third side of the triangle is 11 feet long.
The perimeter of the triangle cannot be more than 56 feet. Find the longest possible values for the
other two sides of the triangle.
3)
A)
15 feet and 30 feet
B)
23 feet and 23 feet
C)
14 feet and 28 feet
D)
34 feet and 34 feet
4)
The area of a triangle with base b and height h is given by the formula A =1
2bh. Find the area of a
triangle with base 16 meters and height 15 meters.
4)
A)
31 m2
B)
31.5 m2
C)
120m2
D)
240m2
Solve.
5)
–a+ 4 =7
5)
A)
a=11
B)
a= –3
C)
a=3
D)
a= –11
Solve the problem.
6)
The volume of a sphere with radius r is given by the formula V =4
3r3. Find the volume of a
sphere with radius 4 meters. Use 3.14 for the value of . Round your answer to the nearest
hundredth.
6)
A)
267.95 m3
B)
85.33 m3
C)
66.99 m3
D)
803.85 m3
Solve.
7)
n
3= –11
7)
A)
n = –33
B)
n = – 1
33
C)
n = –14
D)
n =33
Solve the problem.
8)
A box has a volume of 900in.3. The length is 10 in. and the width is 18 in. Find the height. (Use V =
lwh)
8)
A)
5 in.
B)
9 in.
C)
3 in.
D)
6 in.
1
9)
Company A rents copiers for a monthly charge of $180 plus 12 cents per copy. Company B rents
copiers for a monthly charge of $360 plus 6 cents per copy. Under what conditions will Company
A’s charges be higher than Company B’s charges?
9)
A)
Company A’s charges will be higher than Company B’s charges if the number of copies is
more than 1500
B)
Company A’s charges will be higher than Company B’s charges if the number of copies is
more than 3000
C)
Company A’s charges will be higher than Company B’s charges if the number of copies is less
than 6000
D)
Company A’s charges will be higher than Company B’s charges if the number of copies is less
than 3000
Find the percent. Round to the nearest tenth of a percent, if necessary.
10)
What percent of 61 is 421?
A)
69.0%
B)
690.2%
C)
0.1%
D)
1.4%
Translate the sentence into an equation using the variable x.
11)
A number increased by 6 is –15.
A)
x +6= –15
B)
x =6–15
C)
x –15 =6
D)
6– x = –15
Solve.
12)
4x – 6 2
A)
x –2
B)
x 2
C)
x 2
D)
x –2
Solve the problem.
13)
Junior high classes of 30 students each met in the cafeteria to take achievement tests. If exactly 6
students sat at each table and 15 tables were used, how many classes took the tests?
A)
5 classes
B)
16 classes
C)
3 classes
D)
6 classes
Solve the formula for the specified variable.
14)
V =1
3Bh for h
A)
h=3B
V
B)
h=3V
B
C)
h=V
3B
D)
h=B
3V
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
15)
Value of x: 2Equation: 8x + 7x – 4 =26
A)
True
B)
False
Solve.
16)
–2(5y – 3) < –12y – 8
A)
y –7
B)
y < –7
C)
y > –7
D)
y –7
Translate the sentence to an equation.
17)
A number divided by 9.7 is equal to –14.4.
A)
x
–14.4 =9.7
B)
9.7x = –14.4
C)
x
9.7 = –14.4
D)
–14.4x =9.7
2
Solve the problem.
18)
The second angle of a triangle is 3 times as large as the first. The third angle is 55° more than the
first. Find the measure of the smallest angle.
A)
125°
B)
35°
C)
55°
D)
25°
Solve the equation.
19)
5=3x – 4
A)
10
B)
3
C)
5
D)
6
20)
s– 14.91 = 0
A)
s= –13.91
B)
s=14.91
C)
s= –14.91
D)
s=13.91
21)
9
10x =72
A)
711
10
B)
729
10
C)
324
5
D)
80
Solve and graph.
22)
–7<b
6
A)
b–42
B)
b–42
C)
b> –42
D)
b< –42
Indicate what must be done to each side of the equation in order to isolate the variable.
23)
–x = –0.41
A)
Divide by –41
100
B)
Divide by –0.41
C)
Multiply by –100
41
D)
Divide by –1
3
Solve the formula for the specified variable.
24)
a + b = s + r for s
A)
s=a
r+ b
B)
s=r(a + b)
C)
s=a + b
r
D)
s= a + b – r
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
25)
Value of x: –13 Equation: 8x – 10 =9x + 3
A)
True
B)
False
Solve.
26)
What percent of 8760 hr is 3942 hr?
A)
45%
B)
55%
C)
50%
D)
90%
Indicate what must be done to each side of the equation in order to isolate the variable.
27)
x –18 =4
A)
Add 18
B)
Add 4
C)
Subtract 18
D)
Subtract 4
Solve the problem.
28)
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 54 degrees larger than each of the other two angles. Find
the measure of angle C.
A)
84 degrees
B)
96 degrees
C)
42 degrees
D)
138 degrees
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
29)
Value of x: 8Equation: 6x + 6 =56
A)
True
B)
False
Find the percent. Round to the nearest tenth of a percent, if necessary.
30)
What percent of 8 is 0.04?
A)
0.5%
B)
200.0%
C)
5.0%
D)
50.0%
Translate the sentence to an equation.
31)
Four times a number equals 26.
A)
26
x=4
B)
26x =4
C)
4x =26
D)
4
x=26
Solve the equation.
32)
–7x + 12 + 8x = 0
A)
1.083
B)
12
C)
0.923
D)
–12
Solve.
33)
7(t +6) <28(t –2)
A)
t >8
3
B)
t >7
2
C)
t >14
3
D)
t <14
3
4
Indicate what must be done to each side of the equation in order to isolate the variable.
34)
0.3x =6
A)
Multiply by 0.3
B)
Divide by 6
C)
Multiply by 10
3
D)
Divide by –1
2
Write an equation to describe the situation.
35)
A hot air balloon descends to a height of 207 feet, 1
5 of its previous height. How high was the
balloon before its descent?
A)
h +1
5=207
B)
5h =207
C)
207h =1
5
D)
h
5=207
Solve the problem.
36)
Jill is 7 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks
at 1 km/hr. They meet in 2 hours. How fast is Joe walking?
A)
2.5 km/hr
B)
5 km/hr
C)
4.5 km/hr
D)
1.75 km/hr
Solve the equation.
37)
16 = –22 + x
A)
x= –38
B)
x=38
C)
x=6
D)
x= –6
Solve.
38)
Find 7% of 2 mL.
A)
1.4 mL
B)
2.857 mL
C)
0.14 mL
D)
28.571 mL
Solve the equation.
39)
0.8x – 0.4(50 + x) =0.16(50)
A)
80
B)
35
C)
60
D)
70
Solve.
40)
8x + 12 4x + 28
A)
x 4
B)
x 7
C)
x –4
D)
x –7
Find the percent. Round to the nearest tenth of a percent, if necessary.
41)
4.1 is what percent of 23.8?
A)
580.5%
B)
0.2%
C)
17.2%
D)
5.8%
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
42)
Value of x: 5Equation: –6x – 5 = –5x – 10
A)
True
B)
False
Solve for the indicated variable.
43)
–11 = –9p +6q for p
A)
p = –11 –6q
B)
p =–11 +6q
–9
C)
p =–11 –6q
–9
D)
p =–11 + 9q
6
5
Solve the equation.
44)
–0.95(20) + 0.8x =0.3(20 + x)
A)
40
B)
25
C)
60
D)
50
45)
183=10x + 13
A)
164
B)
5
C)
160
D)
17
Find the amount.
46)
What is 89% of 388?
A)
34,532
B)
3453.2
C)
34.53
D)
345.32
Write an inequality to describe the situation.
47)
To get an A in the class, Shirley must have a score s of more than 78 on the final.
A)
s <78
B)
s 78
C)
s >78
D)
s 78
Indicate what must be done to each side of the equation in order to isolate the variable.
48)
0.9x =8
A)
Divide by 0.9
B)
Divide by 10
9
C)
Multiply by 8
D)
Divide by 9
Solve the equation.
49)
–4x = –16
A)
2
B)
4
C)
12
D)
–12
Solve.
50)
x
2+89
A)
x 2
B)
x 2
C)
x <4
D)
x 1
51)
18n – 12 3(5n + 5)
A)
n <9
B)
n 9
C)
n 9
D)
n >9
Solve for the indicated variable.
52)
N=d+j+z
8 for j
A)
j=8N +d+z
B)
j=8N –d–z
C)
j=8(N –d–z)
D)
j=8N +8d +dz
Find the amount.
53)
What number is 12% of 30?
A)
0.004
B)
250
C)
3.6
D)
2.5
Solve the equation.
54)
0.33(x + 55) + 0.28(x + 60) = –35.2
A)
115
B)
5
C)
–5
D)
–115
6
Solve the problem.
55)
Score on a test S is related to the number of hours H studied for the test by the formula S =2H +85.
Solve for H in terms of S.
A)
H =2(S –85)
B)
H =S –85
2
C)
H =2(85 + S)
D)
H =85 – S
2
Write an equation to describe the situation.
56)
Jorge leaves Chicago driving at 43 miles per hour. Manuel leaves 4 hours later from the same
place, along the same road, at a rate of 46 mph. If Jorge travels for t hours, in how many hours will
Manuel overtake him?
A)
43t =46(t –4)
B)
43(t –4) =46t
C)
t
43 =t –4
46
D)
43t =46(t +4)
Solve the problem.
57)
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?
A)
It must be kept below 51° Fahrenheit.
B)
It must be kept below –13° Fahrenheit.
C)
It must be kept below 121° Fahrenheit.
D)
It must be kept below 95° Fahrenheit.
Solve the formula for the specified variable.
58)
S = 2rh + 2r2 for h
A)
h =S
2r– 1
B)
h =S – 2r2
2r
C)
h = 2(S – r)
D)
h = S – r
Solve the equation. First simplify the expression by combining like terms.
59)
1
6(x + 12) –1
8(x – 8) = x – 8
A)
216
23
B)
264
23
C)
168
23
D)
120
23
Indicate what must be done to each side of the equation in order to isolate the variable.
60)
10 + x =4
A)
Add 10
B)
Subtract –10
C)
Subtract 4
D)
Subtract 10
Solve.
61)
3y
5=12
A)
y =1
20
B)
y =20
C)
y =4
D)
y =36
5
Solve the problem.
62)
During the first four months of the year, Jack earned $1060, $570, $570 and $1380. If Jack must have
an average salary of at least $970 in order to earn retirement benefits, what must Jack earn in the
fifth month in order to qualify for benefits?
A)
at least $910
B)
at least $1270
C)
at most $895
D)
at most $970
7
63)
Matthew has $1600 invested in the stock market. This amounts to 40% of his total savings. How
much does Matthew have in savings in total?
A)
$4000
B)
$40,000
C)
$4010
D)
$4100
Graph the inequality.
64)
x > –4
A)
B)
C)
D)
Solve.
65)
–6x – 2x + 48 8
A)
x 5
B)
x 5
C)
x –5
D)
x –5
66)
–1
3x + 25
x +1
3x
A)
x 15
B)
x 5
C)
x 15
D)
x –15
67)
20% of what number is 10?
A)
2
B)
500
C)
50
D)
200
Solve the formula for the specified variable.
68)
F =9
5C + 32 for C
A)
C =5
9(F – 32)
B)
C =F – 32
9
C)
C =5
F – 32
D)
C =9
5(F – 32)
Find the base.
69)
23 is 3% of what number?
A)
766.67
B)
76.67
C)
69
D)
7666.7
Solve.
70)
4
7(7x +4) 15
A)
x 89
4
B)
x <89
28
C)
x 15
4
D)
x 89
28
Write an equation to describe the situation.
71)
You plan to purchase a $820 bike 4 months from now. How much money must you save per
month, m, in order to buy it?
A)
m
4=820
B)
4m =820
C)
820m =4
D)
4+ m =820
8
Graph the inequality.
72)
–2
x <2
A)
B)
C)
D)
Solve the equation.
73)
1
5a =3
A)
8
B)
7
C)
0
D)
15
Solve.
74)
40% of what amount is 20 mL?
A)
800 mL
B)
8 mL
C)
50 mL
D)
200 mL
Solve the equation.
75)
7=x+ 6
A)
x=1
B)
x= –13
C)
x= –1
D)
x=13
Solve the problem.
76)
The area of a rectangular garden is to be 84 ft.2. Find the length if the width must be 6 ft. (Use A =
lw)
A)
14 ft.
B)
16 ft.
C)
78 ft.
D)
13 ft.
Solve.
77)
2a – 7 – 5(a + 1) = –(–4a + 7)
A)
a= – 5
7
B)
a=19
2
C)
a= – 19
7
D)
a=5
2
Find the amount.
78)
What number is 24% of 750?
A)
3,125
B)
312.5
C)
180
D)
0.032
Solve the problem.
79)
An insurance fund invests $50,800 in small cap stocks and earns 12% per year on the investment.
How much money is earned per year?
A)
$423,333
B)
$60,960
C)
$42,333
D)
$6096
9
Solve the equation.
80)
s– 7 =4
A)
s=3
B)
s= –3
C)
s=11
D)
s= –11
Translate the sentence to an equation.
81)
When a number is divided by 4, the result is 10.
A)
10x =4
B)
4x =10
C)
x
4=10
D)
x
10 =4
Write an equation to describe the situation.
82)
A garden is being constructed in the shape of a rectangle. Find the length L of the garden given that
the length is 10 m greater than the width and that the area of the garden is 200 m2.
A)
(L –10) =200L
B)
L(L –10) =200
C)
L(L +10) =200
D)
L + (L –10) =200
Graph the inequality.
83)
–1< x 21
2
A)
B)
C)
D)
Solve the problem.
84)
Given mx + ny = p, solve for x and find the value of x when m =2, n =5, y = –4, and p =2.
A)
x =p – ny
m; x =11
B)
x = m(p + ny); x = –36
C)
x =p + ny
m; x = – 9
D)
x = m(p – ny); x =44
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
85)
Value of x: – 11 Equation: 5x –6=5–6x
A)
True
B)
False
Solve the problem.
86)
A car rental business rents a compact car at a daily rate of $39.20 plus 20 cents per mile. Mike can
afford to spend $55 on the car rental for one day. How many miles can he drive and stay within his
budget?
A)
84 mi
B)
74 mi
C)
79 mi
D)
69 mi
10
Solve for the indicated variable.
87)
P = a + b + c for c
A)
c= P +a+b
B)
c=a+b– P
C)
c= P +a–b
D)
c= P –a–b
Solve the problem.
88)
The Smith family is planning a 400–mile trip. If they travel at an average speed of 40 miles per
hour, what will be their travel time? (Use d = rt)
A)
10 hr.
B)
11 hr.
C)
12 hr.
D)
9 hr.
Indicate what must be done to each side of the equation in order to isolate the variable.
89)
x +3.5 =22.6
A)
Add 22.6
B)
Subtract 22.6
C)
Subtract 3.5
D)
Add 3.5
Solve.
90)
3(2x –2) 36
A)
x <19
3
B)
x 7
C)
x 7
D)
x 19
3
Solve the problem.
91)
Tech Support spent $10,050 this year on advertising alone. If total sales were $171,700, what percent
of total sales was spent on advertising? Round to the nearest tenth of a percent, if necessary.
A)
17.1%
B)
5.9%
C)
0.6%
D)
171%
Solve the equation.
92)
3n – 2 =10
A)
9
B)
4
C)
13
D)
5
93)
1
6b = –3.38
A)
b = –2.00
B)
b =1.62
C)
b = –20.28
D)
b =2.62
Solve the problem.
94)
Jay drove 252 kilometers at the average rate of 63 kilometers per hour. How long did the trip take?
A)
5 hr
B)
4 hr
C)
1
4hr
D)
3 hr
Write an equation to describe the situation.
95)
A student allows 1
7 of her monthly income for books and 1
6 of her monthly income for clothing. If
she budgets a total of $360 per month for books and clothing, what is her monthly income, x?
A)
7x +6x =360
B)
1
7·360+1
6·360= x
C)
1
7x =1
6x +360
D)
1
7x +1
6x =360
Solve the problem.
96)
Walt made an extra $10,000 last year from a part–time job. He invested part of the money at 6% and
the rest at 10%. He made a total of $760 in interest. How much was invested at 10%?
A)
$8000
B)
$6000
C)
$5000
D)
$4000
11
Translate the sentence into an equation using the variable x.
97)
The sum of a number and 2 is 13.
A)
x +2=13
B)
2x =13
C)
x =2+ 13
D)
x +13 =2
Solve the problem.
98)
The parking lot at a shopping mall has 75 cars in it. 92% of the cars are four–door. How many cars
are four–door?
A)
690 cars
B)
82 cars
C)
69 cars
D)
8 cars
Write an equation to describe the situation.
99)
Alan’s dog weighs 21 lb which is 1
5 of Alan’s weight w.
A)
21w =1
5
B)
5w =21
C)
w
5=21
D)
w =1
5·21
Solve.
100)
Find 40% of 70 clients.
100)
A)
28,000 clients
B)
2800 clients
C)
28 clients
D)
280 clients
Solve the formula for the specified variable.
101)
A =1
2h(b1+ b2) for b1
101)
A)
b1=(b2)2A – h
h
B)
b1=2A – (h)(b2)
h
C)
b1=h(b2) – 2A
h
D)
b1=A – h(b2)
2h
Solve the problem.
102)
Pennies are packaged 50 in a roll. A mother gave her son 73 pennies for his bank and had 27
pennies left over. How many rolls of pennies did she use?
102)
A)
4 rolls
B)
5 rolls
C)
3 rolls
D)
2 rolls
Find the percent. Round to the nearest tenth of a percent, if necessary.
103)
What percent of 191 is 12.5?
103)
A)
6.5%
B)
0.2%
C)
1528.0%
D)
0.1%
Solve.
104)
What percent of 50 items is 38?
104)
A)
27%
B)
73%
C)
24%
D)
76%
Solve the equation.
105)
2a = –18
105)
A)
1
B)
–9
C)
–20
D)
20
Solve the problem.
106)
From a point on a straight road, two cars are driven in opposite directions, one at 73 miles per hour
and the other at 44 miles per hour. In how many hours will they be 351 miles apart?
106)
A)
4 hours
B)
3 hours
C)
Not enough information
D)
2 hours
12
Find the base.
107)
80 is 40% of what number?
107)
A)
32
B)
50
C)
320
D)
200
Solve.
108)
16z+ 8 >4(3z + 9)
108)
A)
z>16
B)
z>7
C)
z<7
D)
z<16
Graph the inequality.
109)
x 11
2
109)
A)
B)
C)
D)
Solve the problem.
110)
Given 1
7y = x, solve for y and find the value of y when x = – 1
6.
110)
A)
y =1
7x; y = – 1
42
B)
y =7x; y = – 7
6
C)
y = –7x; y =7
6
D)
y =1
7x; y = – 6
7
Write an equation to describe the situation.
111)
Mike is on vacation in Costa Rica. He has a budget of $980 for accommodation. He will stay as long
as his budget allows. The more expensive hotel costs $67 per night and the budget hotel costs $36
per night. He plans to stay 8 more nights in the budget hotel than in the expensive hotel. Find the
number of nights n that he will stay at the expensive hotel.
111)
A)
36(n –8) +67n =980
B)
36n +67(n +8) =980
C)
36(n +8) +67 =980n
D)
36(n +8) +67n =980
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
112)
Value of x: 1
2Equation: 5x + 23 =6x + 8
112)
A)
True
B)
False
Solve.
113)
5% of what amount is $40? Round to the nearest dollar.
113)
A)
$800
B)
$200
C)
$8
D)
$2
13
114)
What percent of 75 miles is 18 miles?
114)
A)
4%
B)
24%
C)
0.24%
D)
400%
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
115)
Value of x: 3Inequality: 10 –4x 2
115)
A)
True
B)
False
Translate into an equation, then solve.
116)
Elissa is using fencing to build three dog kennels as shown in the drawing. Find the missing
measurement for Kennel #2.
9 ft x ft 28 ft
Kennel #1 Kennel #2 Kennel #3 20 ft
50 ft
116)
A)
9+ x +28 + 20 =50; x =33 ft.
B)
9+ x –28 =50; x =69 ft.
C)
9+ x +28 =50; x =13 ft.
D)
9+28 – 20 = x; x =17 ft.
Solve the equation.
117)
–1
5x = –6
117)
A)
30
B)
1
C)
–11
D)
–12
Solve the problem.
118)
A paint mixture contains 41 gallons of base for every gallon of color. In 1428 gallons of paint, how
many gallons of color are there?
118)
A)
34 gallons
B)
476 gallons
C)
1394 gallons
D)
714 gallons
119)
Two friends live 31.5 mi apart. They cycled from their homes, riding toward one another and
meeting 11
2 hr later. If one friend cycled 1 mph faster than the other, what were their two rates?
119)
A)
11 mph and 12 mph
B)
9 mph and 10 mph
C)
10 mph and 11 mph
D)
8 mph and 9 mph
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
120)
Value of x: –3Inequality: 4–3x <7x +5
120)
A)
True
B)
False
14
Indicate what must be done to each side of the equation in order to isolate the variable.
121)
–x = –0.73
121)
A)
Multiply by 0.73
B)
Divide by –0.73
C)
Divide by –1
D)
Multiply by –100
73
Solve.
122)
0.6x +12 + x > 2x +6– 0.5x
122)
A)
x< –60
B)
x<6
C)
x> –60
D)
x6
Solve the equation.
123)
10y =2y + 10 + 7y
123)
A)
10
B)
–10
C)
–100
D)
100
Solve.
124)
–z = –17
124)
A)
z =17
B)
z =1
17
C)
z = – 1
17
D)
z = –17
Solve the problem.
125)
The perimeter of a rectangle with length L and width W is given by the formula P = 2L + 2W. Find
the perimeter of a rectangle with length 9 meters and width 3 meters.
125)
A)
21 meters
B)
54 meters
C)
12 meters
D)
24 meters
Indicate what must be done to each side of the equation in order to isolate the variable.
126)
2x =7
126)
A)
Divide by 2
B)
Divide by –2
C)
Multiply by 1
5
D)
Divide by 7
Graph the inequality.
127)
x –7
127)
A)
B)
C)
D)
15
Translate into an equation, then solve.
128)
Bob works as a salesman. He was told that he will get a bonus if he has $12,260 in sales over a
four–week period. The first week his sales were $2340. The second week his sales were $1820. The
third week his sales were $3155. How much must Bob sell during the final week to get the bonus?
128)
A)
2340 + 1820 +3155 = x +12,260; x =$5065
B)
2340 + 1820 +3155x =12,260; x =$4665
C)
2340 + 1820 +3155 – x = – 12,260; x =$4945
D)
2340 + 1820 +3155 + x =12,260; x =$4945
Solve the equation.
129)
–4a + 4 + 5a =15 – 30
129)
A)
19
B)
–19
C)
–49
D)
49
130)
4r + 10 = –2– 8r+ 1r
130)
A)
–12
11
B)
–4
9
C)
–11
12
D)
11
12
Solve.
131)
7
12(x +2) >1
2(x +7)
131)
A)
x <28
B)
x < – 28
C)
x >28
D)
x > – 28
Solve the equation.
132)
–7b + 8 + 5b = –3b + 13
132)
A)
13
B)
5
C)
–8
D)
–13
Solve the problem.
133)
A 6–pound puppy is gaining weight at a rate of 2
3 lb per week. How much more time will it take
for the puppy’s weight to exceed 312
3 lb?
133)
A)
more than 391
2 weeks
B)
more than 381
2 weeks
C)
more than 561
2 weeks
D)
more than 191
4 week(s)
16
Solve and graph.
134)
–3x > –20
134)
A)
x <20
3
B)
x >20
3
C)
x > – 20
3
D)
x < – 20
3
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
135)
Value of x: 8Inequality: 2x –11 <5
135)
A)
True
B)
False
Solve the problem.
136)
The area of a circle with radius r is given by the formula A =r2. Find the area of a circle with
radius 4 centimeters. Use 3.14 for .
136)
A)
7.14 cm2
B)
12.56 cm2
C)
50.24 cm2
D)
39.44 cm2
Find the base.
137)
64 is 20% of what number?
137)
A)
12.8
B)
1,280
C)
31.25
D)
320
Find the amount.
138)
What is 10% of 700?
138)
A)
70
B)
7
C)
0.7
D)
700
139)
What is 5% of 400?
139)
A)
200
B)
20
C)
0.2
D)
2
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
140)
Value of x: 8Equation: 2x – 5 =11
140)
A)
True
B)
False
Solve the formula for the specified variable.
141)
P = a + b + c for a
141)
A)
a = b + P – c
B)
a = P – b – c
C)
a = b + c – P
D)
a = P + b + c
142)
A = P(1 + nr) for n
142)
A)
n=A – P
Pr
B)
n=A
r
C)
n=Pr
A – P
D)
n=P – A
Pr
17
Translate the sentence into an equation using the variable x.
143)
If 2 is subtracted from a number, the result is 13.
143)
A)
x =13 –2
B)
x –2=13
C)
x –13 =2
D)
2– x =13
Solve the problem.
144)
The appliance store where the Ramiros shop offers a 6% discount for paying cash. The Ramiros
received a discount of $60. What was their total bill before the discount? Round to the nearest
dollar.
144)
A)
$400
B)
$1000
C)
$10
D)
$4
145)
Sue drove her car 241 miles in January, 279 miles in February, and 463 miles in March. If her
average mileage for the four months from January to April is to be at least 350 miles, how many
miles must she drive in April?
145)
A)
at most 350 miles
B)
at most 417 miles
C)
at least 417 miles
D)
at least 333 miles
Solve.
146)
Solve 4d –h= m for h in terms of d and m
146)
A)
h= m –4d
B)
h=4d + m
C)
h=4d – m
D)
h= – m
4d
Solve the equation.
147)
1
5a –1
5= –5
147)
A)
–26
B)
24
C)
26
D)
–24
Solve.
148)
3(x + 8) + 7x < –6(–2x + 7) – 3x
148)
A)
x >66
B)
x > –66
C)
x < –66
D)
x <66
Solve the equation.
149)
1
5f – 5 = 1
149)
A)
24
B)
30
C)
–24
D)
–30
Solve.
150)
–28 –4x < 0
150)
A)
x > – 1
7
B)
x < –24
C)
x > –7
D)
x < –7
151)
–11 – 8a+ 5 –9a – 7
151)
A)
a> –8
B)
a< –8
C)
a–1
D)
a–1
Solve the equation. First simplify the expression by combining like terms.
152)
5(3x – 1) =20
152)
A)
7
5
B)
5
3
C)
1
D)
19
15
18
Solve the problem.
153)
When a ball is thrown upward at a speed of 16 m/s, its height s above the ground (in meters) after t
seconds is given by the formula s =16t – 4.9t2. Find the height of the ball after 3 seconds.
153)
A)
43.1 meters
B)
3.9 meters
C)
18.6 meters
D)
33.3 meters
Solve the equation.
154)
2x +3x =35
154)
A)
7
B)
1
5
C)
1
7
D)
30
Find the percent. Round to the nearest tenth of a percent, if necessary.
155)
What percent of 35 is 35?
155)
A)
200%
B)
0%
C)
100%
D)
1%
Solve the equation.
156)
–0.03(300) + 0.08x =0.05(300+ x)
156)
A)
400
B)
790
C)
800
D)
810
Find the base.
157)
3.6 is 180% of what number?
157)
A)
0.648
B)
2
C)
50
D)
.48
19
Solve and graph.
158)
x +2
11 8
11
158)
A)
x 6
11
B)
x <3
11
C)
x 6
11
D)
x >3
11
Solve.
159)
–6x – 32 >2x + 24
159)
A)
x > –7
B)
x >4
C)
x < –7
D)
x < –4
Graph the inequality.
160)
x <6
160)
A)
B)
C)
D)
20
Solve the equation.
161)
2.5p + 26 =3.5p + 15
161)
A)
10
B)
12
C)
11
D)
16
Solve the problem.
162)
Janet drove 256 kilometers and the trip took 4 hours. How fast was Janet traveling?
162)
A)
65 km/hr
B)
64 km/hr
C)
1024 km/hr
D)
1
64 km/hr
Solve the equation. First simplify the expression by combining like terms.
163)
1
5(r + 6) =1
7(r + 8)
163)
A)
–1
B)
1
C)
2
D)
–2
Find the base.
164)
34% of what number is 67? Round your answer to the nearest hundredth.
164)
A)
197.06
B)
0.51
C)
51
D)
1970.6
Solve the equation.
165)
–0.295(8000) + 0.8x =0.07(8000 + x)
165)
A)
3900
B)
4000
C)
4100
D)
2000
166)
4y – 7 =9+ 6y
166)
A)
–1
8
B)
1
8
C)
5
D)
– 8
Solve the problem.
167)
Jon has 544 points in his math class. He must have 67% of the 1100 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?
167)
A)
737 points
B)
193 points
C)
364 points
D)
556 points
Solve.
168)
$64 is 20% of how much?
168)
A)
$1,280
B)
$31.25
C)
$12.80
D)
$320
Solve the equation.
169)
3
5m= – 3
7
169)
A)
–7
5
B)
5
7
C)
–5
7
D)
–15
7
Solve the problem.
170)
The First Commerce Bank pays 41
2% interest per year on growth fund accounts. What is the annual
income on a growth fund account of $64,000? Round to the nearest dollar.
170)
A)
$1,600,000
B)
$160,000
C)
$28,800
D)
$2880
21
Solve the equation.
171)
–19.1 =27.8 + a
171)
A)
a= –8.7
B)
a=46.9
C)
a=8.7
D)
a= –46.9
Translate the sentence to an equation.
172)
The quotient of 5.4 and a number is 34.
172)
A)
5.4x =34
B)
5.4
x=34
C)
x
5.4 =34
D)
34
x=5.4
Solve the equation. First simplify the expression by combining like terms.
173)
8(k – 9) – (7k – 6) = –3
173)
A)
63
B)
– 69
C)
– 63
D)
0
Find the percent. Round to the nearest tenth of a percent, if necessary.
174)
968 is what percent of 742?
174)
A)
0.1%
B)
1.3%
C)
130.5%
D)
76.7%
Solve.
175)
3
4(9x –8) –3
4<1
4
175)
A)
x <4
3
B)
x >28
27
C)
x <28
27
D)
x <28
3
Find the percent. Round to the nearest tenth of a percent, if necessary.
176)
What percent of 2828 is 19?
176)
A)
14,884.2%
B)
6.7%
C)
0.7%
D)
16.7%
Solve.
177)
7x + 6 + 7x <2+ 12x + 4
177)
A)
x >6
B)
x <6
C)
x >0
D)
x <0
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
178)
Value of x: 3Inequality: –(4x –10) >2
178)
A)
True
B)
False
179)
Value of x: 3Inequality: 8x –16x +7
179)
A)
True
B)
False
Solve the equation.
180)
z+ 6 =9
180)
A)
z= –15
B)
z=3
C)
z= –3
D)
z=15
Translate the sentence into an equation using the variable x.
181)
A number minus 12
3 equals 41
3.
181)
A)
x –41
3=12
3
B)
x +12
3=41
3
C)
12
3– x =41
3
D)
x –12
3=41
3
22
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
182)
Value of x: 5Equation: 7(x – 7) =28
182)
A)
True
B)
False
Solve the equation. First simplify the expression by combining like terms.
183)
–7
8y – (y –2
5) =1
40 ( y + 7)
183)
A)
–23
76
B)
9
76
C)
9
74
D)
–9
4
Solve.
184)
Determine whether 3 is a solution of the equation 8y + 3(y – 2) =27.
184)
A)
3 is a solution
B)
3 is not a solution
Translate the sentence into an equation using the variable x.
185)
The total of a number and 4.6 is equal to 15.8.
185)
A)
x +15.8 =4.6
B)
x =4.6 +15.8
C)
x –4.6 =15.8
D)
x +4.6 =15.8
Find the percent. Round to the nearest tenth of a percent, if necessary.
186)
93.7 is what percent of 8?
186)
A)
0.9%
B)
1171.3%
C)
11,713.0%
D)
8.5%
Solve the equation.
187)
7p + 13 =8p – 1
187)
A)
13
B)
15
C)
14
D)
1
Translate into an equation, then solve.
188)
Betsy has a balance of –$462 on her credit card. What payment should she make to get the balance
to –$163?
188)
A)
–462+ x = –163; x = $399
B)
–163+ x = –462; x = $299
C)
–462+ x = –163; x = $299
D)
–163+ x = –462; x = $399
Solve the formula for the specified variable.
189)
A =1
2bh for h
189)
A)
h=A
2b
B)
h=2A
b
C)
h=b
2A
D)
h=Ab
2
Solve the equation.
190)
1
13b = –3.56
190)
A)
b =9.44
B)
b = –46.28
C)
b =8.44
D)
b = –4.00
Solve the problem.
191)
A rectangular Persian carpet has a perimeter of 164 inches. The length of the carpet is 18 inches
more than the width. What are the dimensions of the carpet?
191)
A)
50 in., 68 in.
B)
64 in., 82 in.
C)
32 in., 50 in.
D)
73 in., 91 in.
23
192)
For what values of x would the rectangle have a perimeter of at least 260?
4x +5
5x +8
192)
A)
27 or less
B)
27 or greater
C)
13 or less
D)
13 or greater
Translate into an equation, then solve.
193)
Bob is saving to buy a car. The total amount that he needs is $9000. The amount that he has saved
so far is $6000. How much more does Bob need?
193)
A)
6000 – x =9000; x = $3002
B)
6000 – x =9000; x = $3000
C)
6000 + x =9000; x = $3000
D)
6000 + x =9000; x = $3002
Solve the equation.
194)
–3.33 =b
10
194)
A)
b =6.67
B)
b = –33.30
C)
b =5.67
D)
b = –4.00
Find the percent. Round to the nearest tenth of a percent, if necessary.
195)
908 is what percent of 1750?
195)
A)
192.7%
B)
51.9%
C)
0.1%
D)
0.5%
Indicate what must be done to each side of the equation in order to isolate the variable.
196)
3
5x =8
196)
A)
Divide by 8
B)
Multiply by 5
3
C)
Multiply by –3
5
D)
Multiply by 5
197)
–1
6x = –7
197)
A)
Divide by –7
B)
Multiply by –6
C)
Multiply by – 6
D)
Multiply by 1
6
24
Solve the equation. First simplify the expression by combining like terms.
198)
4(2z – 2) =7(z + 3)
198)
A)
–13
B)
13
C)
29
D)
17
Solve the problem.
199)
The following chart shows the real estate commission on the selling price of a house.
Price Commission Rate
First $100,000 6%
Amount which exceeds $100,000 2%
A realtor receives $7840.00 for selling a house. What was the selling price?
199)
A)
$92,000
B)
$1840
C)
$292,000
D)
$192,000
Solve and graph.
200)
–4b
3
200)
A)
b< –12
B)
b> –12
C)
b–12
D)
b–12
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
201)
Value of x: 1Inequality: 2(x + 6) <12
201)
A)
True
B)
False
25
Solve the inequality and graph.
202)
–7x 35
202)
A)
x 28
B)
x 5
C)
x –5
D)
x –5
Translate the sentence into an equation using the variable x.
203)
A number minus 4 equals 2.
203)
A)
4– x =2
B)
x =4– 2
C)
x – 4 =2
D)
x =2–4
Solve the problem.
204)
A retail store had monthly sales of $79,600 and spent 6% of it on promotions. How much was spent
on promotions?
204)
A)
$4776
B)
$47,760
C)
$1,326,667
D)
$132,667
Solve for the indicated variable.
205)
x =w + y + z
7 for y
205)
A)
y =7x –7w –7z
B)
y =7x + w + z
C)
y = x – w – z –7
D)
y =7x – w – z
Solve.
206)
What is 5% of $59,600?
206)
A)
$119,200
B)
$29,800
C)
$1,192,000
D)
$2980
Solve the equation. First simplify the expression by combining like terms.
207)
4(y + 6) =5(y – 5)
207)
A)
–49
B)
49
C)
–1
D)
1
Find the amount.
208)
What number is 140% of 378?
208)
A)
52.92
B)
529.2
C)
5292
D)
52,920
Solve the equation.
209)
–8.7c = –26.1
209)
A)
c = –17.4
B)
c =3.0
C)
c =17.4
D)
c =2.0
26
Solve and graph.
210)
5x 10
210)
A)
x >2
B)
x 2
C)
x >2
D)
x 5
Translate the sentence to an equation.
211)
When a number is multiplied by 6, the result is 10.
211)
A)
x
6=10
B)
x
10 =6
C)
6x =10
D)
10x =6
Find the base.
212)
30% of what number is 77?
212)
A)
256.67
B)
23.1
C)
2566.7
D)
25.67
27
Solve and graph.
213)
x –4
21 > – 16
21
213)
A)
x >4
7
B)
x > – 4
7
C)
x > – 4
7
D)
x < – 3
7
Find the base.
214)
0.4 is 50% of what number?
214)
A)
0.2
B)
1.25
C)
2
D)
0.8
Find the amount.
215)
What number is 8.1% of 44?
215)
A)
0.36
B)
356
C)
3.56
D)
35.6
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
216)
Value of x: –4Inequality: 10x + 34 2x + 2
216)
A)
True
B)
False
Solve the problem.
217)
Paul has grades of 90 and 83 on his first two tests. What must he score on his third test in order to
have an average of at least 80?
217)
A)
at most 80
B)
at least 87
C)
at least 67
D)
at most 84
28
Translate into an equation, then solve.
218)
Ken is to receive 650 cc of insulin in three injections. The first injection is to be 175 cc. The second
injection is to be 245 cc. How much insulin must be given for the third injection?
218)
A)
175–245+ x =650; x =230 cc
B)
175+245+ x =650; x =720 cc
C)
175–245+ x =650; x =720 cc
D)
175+245+ x =650; x =230 cc
Solve the problem.
219)
From a point on a river, two boats are driven in opposite directions, one at 5 miles per hour and the
other at 9 miles per hour. In how many hours will they be 42 miles apart?
219)
A)
4 hr
B)
5 hr
C)
3 hr
D)
1 hr
Write an equation to describe the situation.
220)
A car rental company charges $48 per day plus 12 cents per mile to rent a large car. How many
miles, x, did Simone drive if the total amount she paid for the day was $96?
220)
A)
48 +12x =96
B)
48x + 0.12x =96
C)
48 + 0.12x =96
D)
48x + 0.12 =96
Solve the equation.
221)
683.982x = –502.228 (Round to the nearest hundredth when necessary.)
221)
A)
x = –1.36
B)
x = –1186.21
C)
x = –0.73
D)
x = –343,514.91
Graph the inequality.
222)
–3< x <1
222)
A)
B)
C)
D)
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
223)
Value of x: –1Inequality: 2(x + 8) >12
223)
A)
True
B)
False
Find the amount.
224)
What number is 48% of 75?
224)
A)
156.25
B)
0.64
C)
15.625
D)
36
29
Draw the graph of the inequality.
225)
–6
x < –2
225)
A)
B)
C)
D)
Solve.
226)
What percent of 60 is 75?
226)
A)
125%
B)
130%
C)
80%
D)
120%
Solve the equation.
227)
7m + 5 = –10 – 3m
227)
A)
–2
3
B)
2
3
C)
–3
2
D)
–4
5
Graph the inequality.
228)
x –2
228)
A)
B)
C)
D)
Solve for the indicated variable.
229)
V =4s3 for s3
229)
A)
s3=V
4
B)
s3=4
V
C)
s3=4V
D)
s3= V –4
30
Solve the equation.
230)
x –18
25 = – 12
25
230)
A)
x = – 6
25
B)
x =6
5
C)
x =6
25
D)
x = – 6
5
Solve the problem.
231)
The perimeter of a rectangle must be no greater than 80 meters. The width must be 17 meters. Find
the greatest possible value for the length of the rectangle.
231)
A)
23 meters
B)
97 meters
C)
57 meters
D)
63 meters
Solve the equation.
232)
x
–778.569 =678.784 (Round to the nearest hundredth.)
232)
A)
x = –1.15
B)
x = –0.87
C)
x = –99.78
D)
x = –528,480.18
Translate the sentence into an equation using the variable x.
233)
If 2 is added to a number, the result is 16.
233)
A)
2– x =16
B)
x +2=16
C)
x =16 +2
D)
8 = x +16
Translate the sentence to an equation.
234)
A third of a number is equal to 55
7.
234)
A)
3x =55
7
B)
1
4x =55
7
C)
1
3÷ x =55
7
D)
1
3x =55
7
Solve.
235)
–10r + 8 –2(4r – 10)
235)
A)
r –6
B)
r < –6
C)
r > –6
D)
r –6
Solve the problem.
236)
Roberto invested some money at 8%, and then invested $4000 more than twice this amount at 11%.
His total annual income from the two investments was $4340. How much was invested at 11%?
236)
A)
$3000
B)
$26,000
C)
$30,000
D)
$12,000
Write an inequality to describe the situation.
237)
Kate will buy the jacket provided the cost c is at most $82.
237)
A)
c >82
B)
c 82
C)
c <82
D)
c 82
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
238)
Value of x: 36 Equation: 3(x + 8) =4(x – 3)
238)
A)
True
B)
False
Solve the problem.
239)
A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 42
marbles in it. At least how many green marbles does it have?
239)
A)
At least 28 green marbles
B)
At least 21 green marbles
C)
At least 14 green marbles
D)
At least 15 green marbles
31
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
240)
Value of x: 8Inequality: 2x –11 5
240)
A)
True
B)
False
Solve the problem.
241)
Find the measures of the supplementary angles.
241)
A)
101.25° and 78.75°
B)
96.25° and 83.75°
C)
50.63° and 39.38°
D)
202.5° and 157.5°
Solve the equation.
242)
–6
7t=2
3
242)
A)
–7
9
B)
–14
3
C)
–9
7
D)
7
9
243)
–13 =b– 1
243)
A)
b=12
B)
b=14
C)
b= –12
D)
b= –14
Solve the problem.
244)
Mardi received an inheritance of $40,000. She invested part at 12% and deposited the remainder in
tax–free bonds at 7%. Her total annual income from the investments was $4300. Find the amount
invested at 12%.
244)
A)
$35,700
B)
$15,000
C)
$30,000
D)
$29,000
Solve and graph.
245)
a + 1 < –4
245)
A)
a > –5
B)
a –5
C)
a –5
D)
a < –5
32
Solve for the indicated variable.
246)
A = P(1 + nr) for n
246)
A)
n=P – A
Pr
B)
n=Pr
A – P
C)
n=A – P
Pr
D)
n=A
r
Solve.
247)
2r + 3 =15
247)
A)
r =14
B)
r =4
C)
r =10
D)
r =6
Solve for the indicated variable.
248)
a + b = s + r for s
248)
A)
s=r(a + b)
B)
s=a + b
r
C)
s= a + b – r
D)
s=a
r+ b
Solve the equation.
249)
2r + 8 =28
249)
A)
18
B)
10
C)
22
D)
6
Solve the problem.
250)
Students at East Central High School earned $955 selling candy. They want to make $2800 for a
club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if
necessary.
250)
A)
2.9%
B)
29%
C)
3.4%
D)
34.1%
251)
From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 9
miles per hour and Fred rides 7 miles per hour. In how many hours will they be 64 miles apart?
251)
A)
3 hours
B)
Not enough information
C)
5 hours
D)
4 hours
Solve the equation. First simplify the expression by combining like terms.
252)
3(7x + 3) + 3(–3+ 8x) = (–35 + 46x)
252)
A)
35
B)
53
C)
–35
D)
0
Solve the problem.
253)
A survey is given to 7140 under–capitalized retail stores. If this represents 18% of the total number
of under–capitalized retail stores, what is the total number? Round to the nearest whole number.
253)
A)
1285 under–capitalized retail stores
B)
397under–capitalized retail stores
C)
39,667 under–capitalized retail stores
D)
128,500 under–capitalized retail stores
Solve.
254)
7x –9=59 –10x
254)
A)
x = –4
B)
x = – 50
3
C)
x =4
D)
x = – 68
3
Solve the equation.
255)
s– 5 =13
255)
A)
s=8
B)
s=18
C)
s= –8
D)
s= –18
33
256)
4x –2x +3x =35
256)
A)
30
B)
1
5
C)
7
D)
1
7
Graph the inequality.
257)
–6
x –2
257)
A)
B)
C)
D)
Solve the formula for the specified variable.
258)
I =nE
nr + R for n
258)
A)
n = IR(Ir – E)
B)
n =–IR
Ir – E
C)
n =IR
Ir + E
D)
n =–R
Ir – E
Write an inequality to describe the situation.
259)
In order for a chemical reaction to remain stable, its Celsius temperature must be less than
145.03°C. For which Fahrenheit temperatures will the reaction remain stable? To convert a
Fahrenheit temperature to its Celsius equivalent, we use the formula C =5
9(F – 32).
259)
A)
5
9(F – 32) >145.03
B)
5
9(F – 32) 145.03
C)
9
5C + 32 145.03
D)
5
9(F – 32) <145.03
Translate into an equation, then solve.
260)
A weatherman reports that since 6:00 am this morning the temperature has dropped by 15°F to the
current temperature of 32°F. What was the temperature at 6:00 am ?
260)
A)
x –15 =32; x =47°F
B)
x +15 =32; x =47°F
C)
x –15 =32; x =17°F
D)
x +15 =32; x =17°F
Find the base.
261)
53 is 90% of what number?
261)
A)
588.9
B)
5.89
C)
47.7
D)
58.89
34
Solve for the indicated variable.
262)
x =w + y + z
6 for y
262)
A)
y =6x –6w –6z
B)
y =6x – w – z
C)
y =6x + w + z
D)
y = x – w – z –6
Write an inequality to describe the situation.
263)
A car rental company charges $64 per day plus 16 cents per mile to rent a large car. How many
miles m can Andrew drive if he rents a car for two days and if he can spend at most $200 on the car
for the two days?
263)
A)
128+ 0.16m 200
B)
64 + 0.16m
200
C)
64 + 0.16m < 200
D)
128+ 0.16m 200
Solve the equation.
264)
–1
7a = 0
264)
A)
1
B)
7
C)
–7
D)
0
265)
–1
14a = 0
265)
A)
1
B)
0
C)
14
D)
–14
Write an equation to describe the situation.
266)
The local citizen’s group sold raffle tickets and made $497. This was 5 times the amount of money,
w, that the winner received. How much did the winner receive?
266)
A)
497w =5
B)
w
5=497
C)
w =5·497
D)
5w =497
Solve the equation. First simplify the expression by combining like terms.
267)
(y – 6) – (y + 9) =8y
267)
A)
1
8
B)
–15
4
C)
–15
8
D)
–5
2
35
Solve and graph.
268)
f – 3 <1
268)
A)
f 4
B)
f <4
C)
f 4
D)
f >4
Find the amount.
269)
What is 31% of 1593?
269)
A)
4938.3
B)
49.38
C)
493.83
D)
49,383
Solve for the indicated variable.
270)
8x +10y =20 for y
270)
A)
y =20 –8x
10
B)
y =20 +8x
10
C)
y =10 –8x
D)
y =20 –10x
8
Solve.
271)
Compute 24% of $61,600.
271)
A)
$25,667
B)
$256,667
C)
$147,840
D)
$14,784
36
Solve and graph.
272)
a
74
272)
A)
a<28
B)
a>28
C)
a28
D)
a28
Find the percent. Round to the nearest tenth of a percent, if necessary.
273)
What percent of 122 is 61?
273)
A)
0%
B)
200%
C)
2%
D)
50%
Solve the equation.
274)
–23.1 = –7.7c
274)
A)
c =15.4
B)
c =3.0
C)
c = –15.4
D)
c =2.0
Solve.
275)
15x = –3(x – 12)
275)
A)
x =2
B)
x =1
2
C)
x = – 1
2
D)
x = –2
Indicate whether the value of x shown is a solution to the given equation by answering true or false.
276)
Value of x: 9Equation: 4x + 9(x – 5) =72
276)
A)
True
B)
False
Solve the equation.
277)
n
4=3
277)
A)
7
B)
0
C)
6
D)
12
278)
–0.333x – 1 =0.667x
278)
A)
1
B)
–2
C)
–1
D)
–0.333
Indicate whether the value of x shown is a solution of the given inequality by answering true or false.
279)
Value of x: 6Inequality: 2x +9>3
279)
A)
True
B)
False
37
Write an inequality to describe the situation.
280)
To have a chance of joining the basketball team, a player must have a height h of at least 77 inches.
280)
A)
h 77
B)
h 77
C)
h >77
D)
h <77
Solve the equation.
281)
–67 = –6x – 7
281)
A)
–50
B)
18
C)
–54
D)
10
282)
–7m + 23 = –8m + 12
282)
A)
–12
B)
–10
C)
–5
D)
–11
Translate into an equation, then solve.
283)
A weatherman reports that since 6:00 am this morning the temperature has dropped by 16°F to the
current temperature of –4°F. What was the temperature at 6:00 am ?
283)
A)
x +16 = –4; x =12°F
B)
x –16 = –4; x =12°F
C)
x –16 = –4; x = –12°F
D)
x +16 = –4; x = –12°F
Write an inequality to describe the situation.
284)
The number of people n at the concert is less than 2470.
284)
A)
n 2470
B)
n 2470
C)
n <2470
D)
n >2470
Solve the equation. First simplify the expression by combining like terms.
285)
8x – (4x – 1) =2
285)
A)
–1
12
B)
–1
4
C)
1
4
D)
1
12
Write an equation to describe the situation.
286)
Each week you save $98, which is 1
8 of your weekly income. Write an equation to describe your
weekly income I.
286)
A)
I
8=98
B)
I +1
8=98
C)
I
98 =1
8
D)
8I =98
Solve the problem.
287)
Given 4x + y =6, solve for y and find the value of y when x =4.
287)
A)
y =6+4x; y =22
B)
y =6–4x; y = –10
C)
y =6– x
4; y =1
2
D)
y =6–4x; y =22
Indicate what must be done to each side of the equation in order to isolate the variable.
288)
4= x – (–11)
288)
A)
Add 4
B)
Subtract 4
C)
Add –11
D)
Subtract –11
Translate the sentence to an equation.
289)
The product of negative four and a number is twenty–four.
289)
A)
–4+ n =24
B)
–4– n =24
C)
–4n =24
D)
–6n =4
38
Solve the equation.
290)
t+22
3=32
3
290)
A)
t=31
3
B)
t=1
C)
t=61
3
D)
t=3
Indicate what must be done to each side of the equation in order to isolate the variable.
291)
6= –15 + x
291)
A)
Subtract 6
B)
Subtract 15
C)
Add 15
D)
Add 6
Solve the problem.
292)
You are traveling to your aunt’s house that is 186 miles away. If you are currently twice as far from
home as you are from your aunt’s, how far have you traveled?
292)
A)
93.0 miles
B)
31.0 miles
C)
62 miles
D)
124 miles
293)
Given 2x +5y = –10, solve for x and find the value of x when y =6.
293)
A)
x =–10 –5y
2; x = –20
B)
x =–10 +5y
2; x =10
C)
x =–10 +5y
2; x = – 30
D)
x =–10 –5y
2; x =20
Solve.
294)
What must be done to the equation b– 6 = –2 in order to isolate the variable?
294)
A)
Add 6
B)
Add –6
C)
Add –2
D)
Subtract –2
Find the base.
295)
70 is 119% of what number? Round your answer to the nearest hundredth.
295)
A)
14,161
B)
58.82
C)
141.61
D)
588.2
Solve the equation.
296)
5
6+1
7x =4
296)
A)
119
6
B)
–6
7
C)
133
6
D)
–7
6
39
Answer Key
Testname: C2
40
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
45