A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not
given.
169)
I = prt; I =8.8, p =110, r =0.08
169)
A)
0.7744
B)
77.44
C)
1
D)
0.1
Solve the problem.
170)
The parking lot at a shopping mall has 85 cars in it. 40% of the cars are two–toned. How many cars
are two–toned?
170)
A)
34 cars
B)
21 cars
C)
213 cars
D)
340 cars
Solve the equation.
171)
9x – (8x – 1) =2
171)
A)
1
17
B)
1
C)
–1
17
D)
–1
Solve the problem.
172)
A line from the top of a cliff to the ground passes just over the top of a pole 7.0 ft high and meets
the ground at a point 6.0 ft from the base of the pole. If the point is 83 ft from the base of the cliff,
how high is the cliff? Round to the nearest unit.
172)
A)
7 ft
B)
581 ft
C)
3486 ft
D)
97 ft
173)
The appliance store where the Grants shop offers a 6% discount for paying cash. The Grants
received a discount of $32. What was their total bill before the discount? Round to the nearest
dollar.
173)
A)
$2
B)
$200
C)
$533
D)
$5
Decide whether the proportion is true or false.
174)
17
51 =102
357
174)
A)
True
B)
False
Find the measure of each marked angle.
175)
x° 3x°
175)
A)
45° and 135°
B)
45° and 55°
C)
60° and 120°
D)
90° and 270°
Express the phrase as a ratio in lowest terms.
176)
21 mi to 9 mi
176)
A)
5
11
B)
7
3
C)
11
5
D)
3
7
Solve the equation.
177)
1
13 b = – 3.83
177)
A)
{8.17}
B)
{–49.79}
C)
{–4.00}
D)
{9.17}
178)
–2(x + 5) = – (2x + 10)
178)
A)
B)
{5}
C)
{all real numbers}
D)
{0}
42
B
Solve the equation. First simplify the expression by combining like terms.
179)
4.9x – 7.9 – 6.5x = – 1.6x – 7.9
179)
A)
{ –1.6 }
B)
{ 0 }
C)
{ –1 }
D)
{ 1 }
Use a formula to solve the problem.
180)
A pie–shaped (triangular) lake–front lot has a perimeter of 2000 feet. One side is 300 feet longer
than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths
of all three sides.
180)
A)
400 ft, 700 ft, 900 ft
B)
500 ft, 500 ft, 500 ft
C)
500 ft, 800 ft, 1000 ft
D)
100 ft, 200 ft, 300 ft
Solve the problem.
181)
Sarah has grades of 66 and 78 on his first two tests. If she wants an average of at least 70 after her
third test, what score must she make on that test?
181)
A)
72 or more
B)
66 or more
C)
70 or more
D)
71 or more
Find the best buy and give the unit price.
182)
Brand A 16 oz for $4.64
Brand B 20 oz for $6.60
182)
A)
Brand A, $0.33
B)
Brand A, $0.29
C)
Equal value
D)
Brand B, $0.33
Solve the problem.
183)
Janet drove 268 kilometers and the trip took 4 hours. How fast was Janet traveling?
183)
A)
68 km/hr
B)
1
67 km/hr
C)
1072 km/hr
D)
67 km/hr
184)
From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 5
miles per hour and Fred rides 7 miles per hour. In how many hours will they be 60 miles apart?
184)
A)
4 hours
B)
5 hours
C)
6 hours
D)
Not enough information
Solve the equation.
185)
6p – 2 =7p + 5
185)
A)
{0}
B)
{–6}
C)
{–7}
D)
{–8}
Write each inequality in interval notation and graph the interval on a number line.
186)
0 x 4
186)
A)
[0, 4)
B)
(0, 4]
C)
[0, 4]
D)
(0, 4)
Solve the inequality. Write the solution set in interval notation and graph it.
187)
–8t – 2 –9t + 7
187)
A)
( , –8)
B)
(–8, )
C)
( , 9]
D)
[9, )
Solve the problem.
188)
If a spring stretches 0.6 m when a 9–kg weight is attached to it, how much will it stretch when a
21–kg weight is attached to it?
188)
A)
0.4 m
B)
1.4 m
C)
3.4 m
D)
4.4 m
189)
Find the measure of each marked angle.
(5x –6)°
(2x +45)°
189)
A)
79° and 101°
B)
79° and 11°
C)
77° and 77°
D)
79° and 79°
Solve the inequality and write the solution set in interval notation.
190)
3
4t –60
190)
A)
[–80, )
B)
[80, )
C)
(–, 80]
D)
(–, –80]
Solve the equation.
191)
0.024(500) + 0.06x =0.04(500 + x)
191)
A)
{410}
B)
{200}
C)
{390}
D)
{400}
Find the best buy and give the unit price.
192)
Brand X 12 oz for $4.20
Brand Y 9 oz for $2.97
192)
A)
Equal value
B)
Brand Y, $0.33
C)
Brand Y, $0.35
D)
Brand X, $0.35
46
Solve the equation.
193)
0.333x – 7 =1.333x
193)
A)
{–2.333}
B)
{7}
C)
{–7}
D)
{–14}
Write an inequality involving the variable x that describes the set of numbers graphed.
194)
194)
A)
–2< x 2
B)
–2
x 2
C)
–2< x <2
D)
–2
x <2
Solve the equation.
195)
0.8x – 0.4(80 + x) = – 0.2(80)
195)
A)
{40}
B)
{30}
C)
{20}
D)
{50}
Express the phrase as a ratio in lowest terms.
196)
76 ft to 24 ft
196)
A)
77
25
B)
6
19
C)
25
77
D)
19
6
Write the answer to the problem as an algebraic expression.
197)
Bill is q years old. How old will he be in 8 years? How old was he 4 years ago?
197)
A)
q+ 4; q– 8
B)
q+ 8; q– 4
C)
q8; 3– 4
D)
q+ 8; 4– 3
Solve the equation.
198)
1
4(16x – 20) =1
3(15x – 12)
198)
A)
{1}
B)
{–9}
C)
1
9
D)
{–1}
199)
2x +3x =35
199)
A)
{30}
B)
1
7
C)
1
5
D)
{7}
Solve the inequality. Write the solution set in interval notation and graph it.
200)
1
2(x + 3) >1
4(7x – 1)
200)
A)
–, 7
5
B)
–, –7
5
C)
7
5,
D)
–7
5,
Solve the equation.
201)
–2a =14
201)
A)
{–7}
B)
{1}
C)
{16}
D)
{–16}
Solve the problem.
202)
If –17 is added to a number and the sum is doubled, the result is 19 less than the number. Find the
number.
202)
A)
15
B)
53
C)
–53
D)
36
Write the answer to the problem as an algebraic expression.
203)
The product of two numbers is 19. One of the numbers is s. Find the other number.
203)
A)
19s
B)
s
19
C)
19
s
D)
19 – s
Solve the problem.
204)
Find the measure of an angle, if its supplement measures 70° more than twice its complement.
204)
A)
140°
B)
20°
C)
70°
D)
80°
Solve the equation.
205)
–3
7x= – 8
9
205)
A)
56
27
B)
–56
9
C)
–56
27
D)
27
56
Solve the equation. First simplify the expression by combining like terms.
206)
5(y + 4) =6(y – 3)
206)
A)
{–38}
B)
{–2}
C)
{38}
D)
{2}
Write the answer to the problem as an algebraic expression.
207)
Two numbers have a sum of 41. One of the numbers is r. Find the other number.
207)
A)
r+ 41
B)
41 + r
C)
r– 41
D)
41 – r
Decide whether the proportion is true or false.
208)
1
4
7=1
29
208)
A)
True
B)
False
Solve the problem.
209)
160 trains is what percent of 1870 trains?
209)
A)
8.6%
B)
0.1%
C)
0%
D)
1168.8%
Write an inequality involving the variable x that describes the set of numbers graphed.
210)
210)
A)
x > – 6
B)
x < – 6
C)
x –6
D)
x –6
Solve the problem.
211)
Jay drove 390 kilometers at the average rate of 78 kilometers per hour. How long did the trip take?
211)
A)
4 hr
B)
1
5hr
C)
6 hr
D)
5 hr
Solve the equation.
212)
1
5(10x – 20) =1
2(8x – 4)
212)
A)
{1}
B)
1
8
C)
{–8}
D)
{–1}
213)
2
5x –1
3x =2
213)
A)
{–30}
B)
{–60}
C)
{60}
D)
{30}
Solve the problem.
214)
In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to get
a 6% solution. How many liters of the 10% solution are needed?
214)
A)
3.5 L
B)
7.0 L
C)
4.5 L
D)
2.5 L
Write the answer to the problem as an algebraic expression.
215)
Susan has 7 cats. She gave s to her lonely aunt. How many does she have left?
215)
A)
s+ 7 cats
B)
s– 7 cats
C)
7+ s cats
D)
7– s cats
Solve the problem.
216)
One half of a number is 3 more than one–sixth the same number. What is the number?
216)
A)
9
B)
8
C)
12
D)
18
Find the best buy and give the unit price.
217)
Brand X 8 oz for $2.88
Brand Y 12 oz for $4.56
217)
A)
Brand X, $0.36
B)
Brand Y, $0.36
C)
Brand Y, $0.38
D)
Equal value
Solve the inequality and write the solution set in interval notation.
218)
–14x 56
218)
A)
(–, 4]
B)
[–4, )
C)
[4, )
D)
(–, –4]
Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x
on the left side.
219)
–x =0.93; divided
219)
A)
–1
B)
93
100
C)
0.93
D)
100
93
A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not
given.
220)
C = 2r; C =31.40, = 3.14
220)
A)
10
B)
5
C)
197.19
D)
34.54
Solve the problem.
221)
Derek is four times as old as Sarah. Three years ago the sum of their ages was 29. How old is each
now?
221)
A)
Derek: 31 yr old; Sarah: 114 yr old
B)
Derek: 116 yr old; Sarah: 29 yr old
C)
Derek: 29 yr old; Sarah: 117 yr old
D)
Derek: 117 yr old; Sarah: 28 yr old
222)
A label printer prints 3 pages of labels in 3.1 seconds. How long will it take to print 156 pages of
labels?
222)
A)
165.2 sec
B)
161.2 sec
C)
163.2 sec
D)
164.2 sec
223)
Find the missing length in the similar triangles.
223)
A)
x = 3
B)
x = 9
C)
x = 6
D)
x = 12
Translate the sentence into an equation using the variable x.
224)
The sum of a number and 5 is 15.
224)
A)
x +15 =5
B)
5x =15
C)
x =5+ 15
D)
x +5=15
Solve the problem.
225)
Find the measure of an angle such that the sum of the measures of its complement and its
supplement is 132°.
225)
A)
24°
B)
69°
C)
64°
D)
48°
Solve the equation.
226)
4x + 17 =5x + 6
226)
A)
{12}
B)
{10}
C)
{5}
D)
{11}
227)
1
9(x + 27) –1
3(x – 3) = x + 5
227)
A)
–9
11
B)
–27
11
C)
–63
11
D)
–81
11
Solve the problem.
228)
A merchant has coffee worth $40 a pound that she wishes to mix with 90 pounds of coffee worth $
90 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the $40 coffee
should be used?
228)
A)
360 pounds
B)
225 pounds
C)
450 pounds
D)
180 pounds
Solve the inequality. Write the solution set in interval notation and graph it.
229)
24x – 32 >4(5x – 2)
229)
A)
(–, 6)
B)
(6, )
C)
(–, 6]
D)
[6, )
Solve the problem.
230)
A cashier has a total of 127 bills made up of fives and tens. The total value of the money is $825.
How many ten–dollar bills does the cashier have?
230)
A)
38 ten–dollar bills
B)
57 ten–dollar bills
C)
89 ten–dollar bills
D)
19 ten–dollar bills
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
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Answer Key
Testname: C2
Answer Key
Testname: C2
60