157)
Sarah left a 15% tip of $10.20 for a meal. What was the cost of the meal before the tip?
A)
$78.20
B)
$20.40
C)
$68.00
D)
$1.53
158)
Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip?
A)
$5.70
B)
$43.70
C)
$32.30
D)
$49.40
159)
Jennifer’s annual salary increased from $28,000 to $49,000 over the last five years. Find the percent increase in
her salary during this time period. Round to the nearest tenth of a percent.
A)
42.9%
B)
0.8%
C)
7.5%
D)
75.0%
160)
On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 34
questions correct. What was the percent of increase?
A)
26.5%
B)
64%
C)
9%
D)
36%
161)
Sales of frozen pizza for a club fund–raiser increased from 500 one year to 645 the next year. What was the
percent of increase?
A)
22.5%
B)
77.5%
C)
71%
D)
29%
162)
By switching service providers, a family’s telephone bill decreased from about $50 a month to about $43. What
was the percent of decrease?
A)
16.3%
B)
7%
C)
15%
D)
14%
163)
Jennifer’s annual salary was $25,000 last year and increased 32% this year. Find Jennifer’s current annual salary.
A)
$33,000
B)
$8000
C)
$24,000
D)
$41,000
164)
The price of a printer was reduced from $400 to $260. What was the percent of decrease?
A)
35%
B)
65%
C)
40%
D)
53.8%
165)
The normal gasoline mileage of a car is 20 mpg. On a smooth road, its mileage is 12% higher. What is its
mileage on a smooth road? Round your answer to the nearest tenth.
A)
50 mpg
B)
20 mpg
C)
2.4 mpg
D)
22.4 mpg
166)
Brand X copier has improved its copier so that it produces 20% more copies than its old model. If the old model
ran 662 copies per hour, how many copies would the new model run? Round your answer to the nearest whole
number.
A)
B)
C)
D)
167)
After spending $3650 for tables and $2050 for chairs a convention center manager finds that the furniture cost
9% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the
nearest dollar.
A)
$5229
B)
$2253
C)
$6264
D)
$513
168)
Midtown Antiques has found that sales have decreased 2% from last year. Sales this year are $198,181. Find the
amount of last year’s sales. Round your answer to the nearest dollar.
A)
$203,226
B)
$202,226
C)
$202,126
D)
$202,216
169)
One half of a number is 3 more than one–sixth the same number. What is the number?
A)
8
B)
12
C)
9
D)
18
170)
The sum of two consecutive integers is -343. Find the larger integer.
A)
-172
B)
-173
C)
-170
D)
-171
171)
The sum of three consecutive integers is 516. Find the integers.
A)
170, 171, 172
B)
172, 173, 174
C)
170, 172, 174
D)
171, 172, 173
172)
The sum of three consecutive odd integers is 267. Find the integers.
A)
82, 83, 84
B)
91, 93, 95
C)
89, 91, 93
D)
87, 89, 91
173)
If three times the smaller of two consecutive integers is added to four times the larger, the result is 116. Find the
smaller integer.
A)
17
B)
16
C)
48
D)
15
174)
If the first and third of three consecutive odd integers are added, the result is 75 less than five times the second
integer. Find the third integer.
A)
23
B)
25
C)
50
D)
27
175)
Two angles of a triangle are 40° and 60°. What is the measure of the third angle?
A)
-10°
B)
260°
C)
80°
D)
100°
176)
Find the measure of each angle in the triangle.
(6n – 7)°
(5n –17)° (n +12)°
A)
63°, 89°, 28°
B)
63°, –1°, 28°
C)
80°, 96°, 16°
D)
27°, 89°, 28°
177)
Find the measures of the supplementary angles.
A)
101.25° and 78.75°
B)
50.63° and 39.38°
C)
202.5° and 157.5°
D)
96.25° and 83.75°
178)
Find the length of a rectangular lot with a perimeter of 122 meters if the length is 5 meters more than the width.
(P = 2L + 2W)
A)
61 m
B)
33 m
C)
28 m
D)
66 m
179)
A square plywood platform has a perimeter which is 10 times the length of a side, decreased by 18. Find the
length of a side.
A)
3
B)
9
C)
1
D)
6
180)
A rectangular Persian carpet has a perimeter of 224 inches. The length of the carpet is 24 inches more than the
width. What are the dimensions of the carpet?
A)
44 in., 68 in.
B)
68 in., 92 in.
C)
100 in., 124 in.
D)
88 in., 112 in.
181)
A pie–shaped (triangular) lake–front lot has a perimeter of 2200 feet. One side is 200 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.
A)
B)
C)
D)
182)
If Gloria received a 7 percent raise and is now making $23,540 a year, what was her salary before the raise?
Round to the nearest dollar if necessary.
A)
$23,000
B)
$22,000
C)
$21,540
D)
$21,892
183)
Stevie bought a stereo for $225 and put it on sale at his store at a 55% markup rate. What was the retail price of
the stereo? Round to the nearest cent if necessary.
A)
$348.75
B)
$325.00
C)
$248.75
D)
$450.00
184)
On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 2%. How
much did the investor pay for the 100 shares if he sold them Wednesday morning for $1479?Round to the
nearest dollar if necessary.
A)
$1429
B)
$1500
C)
$1450
D)
$1449
185)
At the end of the day, a storekeeper had $1456 in the cash register, counting both the sale of goods and the sales
tax of 4%. Find the amount that is the tax. Round to the nearest dollar if necessary.
A)
$58
B)
$47
C)
$56
D)
$61
186)
Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X
copiers run 39,000 copies between service calls, how many copies would the competitor run (to the nearest
copy)?
A)
30,420 copies
B)
47,580 copies
C)
31,967 copies
D)
21,910 copies
187)
A high school graduating class is made up of 547 students. There are 111 more girls than boys. How many boys
are in the class?
A)
329 boys
B)
547 boys
C)
111 boys
D)
218 boys
188)
A baseball team played 156 complete games last season. They had 54 fewer wins than losses. How many games
did the team win?
A)
51 games
B)
54 games
C)
105 games
D)
156 games
189)
On a road trip from Chicago to New Orleans, Joe stopped in Memphis which is 540 miles from Chicago. If
Memphis is 0.6 of the trip to New Orleans, how far is it from Chicago to New Orleans?
A)
324 miles
B)
3240 miles
C)
900 miles
D)
600 miles
190)
Every basketball season Phill competes in a free throw contest. This year Phill was successful at 0.5 of his free
throws. If he succeeded at 18 free throws, how many free throws did he attempt?
A)
36 free throws
B)
90 free throws
C)
9 free throws
D)
1800.5 free throws
191)
CopyMart charges $23 plus 47¢ per copy to produce promotional brochures. How many brochures can Steve
purchase if he has a budget of $86.92? (Hint: 47¢ = $0.47)
A)
43 brochures
B)
136 brochures
C)
146 brochures
D)
13 brochures
192)
Recently, the cost of 12 6–oz jars of baby food was $8.16. What was the cost of one jar?
A)
$0.34
B)
$2.04
C)
$0.68
D)
$1.36
Solve.
193)
The height of the tallest building in Anne’s home town is 699 feet, which is about 378 feet taller than the tallest
building in Laurie’s home town. What is the height of the tallest building in Laurie‘s home town?
A)
321 ft
B)
1077 ft
C)
434 ft
D)
378 ft
194)
The area of Mark’s backyard is about 3 times the area of Jon‘s backyard. The area of Mark’s backyard is 2010 ft2.
What is the area of Jon’s backyard?
A)
783 ft2
B)
2007 ft2
C)
2010 ft2
D)
670 ft2
195)
A city government budgeted $36.7 million for public transportation. This was $13.3 million more than was
budgeted for parks and recreation. How much was budgeted for parks and recreation?
A)
$23.4 million
B)
$24.4 million
C)
$22.9 million
D)
$27.4 million
196)
Elaine was cooking dinner for some friends. She went out to do the shopping and spent $120. She spent twice as
much on food as on drinks. How much did she spend on each?
A)
B)
C)
D)
197)
A 209–foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 4 times
as long as the second. How long is each piece of rope?
A)
B)
C)
D)
198)
A car rental business rents a compact car at a daily rate of $30.20 plus 20¢ per mile. Mike can afford to spend
$57 on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: 20¢ = $0.20)
A)
139 mi
B)
129 mi
C)
134 mi
D)
124 mi
199)
You are traveling to your aunt’s house that is 282 miles away. If you are currently twice as far from home as you
are from your aunt’s, how far have you traveled?
A)
94 mi
B)
141.0 mi
C)
188 mi
D)
47.0 mi
200)
Greg sold his used motorcycle and accessories for $790. If he received nine times as much money for the
motorcycle as he did for the accessories, how much did he receive for the motorcycle?
A)
$79
B)
$711
C)
$7110
D)
$89
201)
In West Arlington, taxis charge $3.00 plus 50¢ per mile for an airport pickup. How far from the airport can Amy
travel for $10.50? (Hint: 50¢ = $0.50)
A)
5.25 mi
B)
42 mi
C)
21 mi
D)
15 mi
202)
Bill needs an average of 80 on four tests in science to make the honor roll. What is the lowest score he can
receive on the fourth test if his first three scores are 75, 67, and 79?
A)
99
B)
80
C)
73.7
D)
75.3
Determine whether the given number is a solution of the inequality.
203)
x >-12, 5.7
A)
B)
204)
x >13, -13
A)
B)
205)
x <8, 0.7
A)
B)
206)
x >8, -14
A)
B)
207)
x -1, 13.5
A)
B)
208)
x -7, -10.72
A)
B)
209)
x 2, -9.55
A)
B)
210)
x -9, 6.5
A)
B)
Graph the inequality.
211)
x >0
A)
B)
C)
D)
212)
x <-2
A)
B)
C)
D)
213)
x 7
A)
B)
C)
D)
214)
x 5
A)
B)
C)
D)
215)
-4 x 0
A)
B)
C)
D)
216)
-5 < x < – 1
A)
B)
C)
D)
217)
3 x <7
A)
B)
C)
D)
Solve using the addition principle. Graph and write set–builder notation for the answer.
218)
a – 10 <-12
A)
B)
C)
D)
219)
9n + 5 >8n + 1
A)
B)
C)
D)
220)
-8t + 5 -9t + 11
A)
B)
C)
D)
24
221)
f – 7 <-15
A)
B)
C)
D)
222)
x + 2
21 >
8
21
A)
B)
C)
D)
223)
x + 2
11
8
11
A)
B)
C)
D)
25
Solve using the multiplication principle.
224)
6k 18
A)
{k k <3}
B)
{k k >3}
C)
{k k 3}
D)
{k k 3}
225)
–6a <-24
A)
{a a >4}
B)
{a a < – 4}
C)
{a a <4}
D)
{a a > – 4}
A
226)
6b -12
A)
{b b 2}
B)
{b b –2}
C)
{b b –2}
D)
{b b 2}
B
227)
–7x <1
6
A)
x x < – 1
42
B)
x x > – 1
42
C)
x x >1
42
D)
x x <1
42
B
228)
–4n < – 1
6
A)
n n <1
24
B)
n n > – 1
24
C)
n n < – 1
24
D)
n n >1
24
D
229)
–2x <
2
7
A)
xx <
1
7
B)
xx >
4
7
C)
xx <
4
7
D)
xx >– 1
7
D
230)
– 4
7> – 2x
A)
xx <0
B)
xx >0
C)
xx >
2
7
D)
xx <– 2
7
C
Solve using the addition and multiplication principles.
231)
3+4x < – 26
A)
x| x >– 29
4
B)
x| x >
23
4
C)
x| x <
23
4
D)
x| x <– 29
4
D
232)
-4y– 1 >-5y– 5
A)
{y y >-6}
B)
{y y <-6}
C)
{y y >-4}
D)
{y y <-4}
26
D
233)
6y+ 6 5y+ 5
A)
{y y –1}
B)
{y y > 6}
C)
{y y < 6}
D)
{y y –1}
234)
-7a+ 9 -8a+ 12
A)
{a a
3}
B)
{a a < -7}
C)
{a a 3}
D)
{a a > -7}
235)
4y– 1 5y– 7
A)
{y y 6}
B)
{y y 4}
C)
{y y -6}
D)
{y y >4}
236)
-2 – 10x+ 1 -11x– 10
A)
{x x –9}
B)
{x x –9}
C)
{x x <-10}
D)
{x x >-10}
237)
0.6x +18 + x > 2x +23 – 0.5x
A)
{x x-5}
B)
{x x<50}
C)
{x x>50}
D)
{x x<-5}
238)
x
2+97
A)
{x x <-2}
B)
{x x -4}
C)
{x x -4}
D)
{x x 4}
239)
30x – 5 >5(5x – 4)
A)
{x x –3}
B)
{x x < – 3}
C)
{x x > – 3}
D)
{x x –3}
240)
1–5
2x + 3 >x
2+1
A)
xx <
5
3
B)
xx >3
2
C)
xx >– 1
D)
xx <1
Translate the sentence to an inequality.
241)
A number is greater than -2.
A)
x -2
B)
x -2
C)
x >-2
D)
x <-2
242)
A number is less than or equal to -2.
A)
x -2
B)
x -2
C)
x <-2
D)
x >-2
243)
John weighs at least 72 pounds.
A)
x <72
B)
x >72
C)
x 72
D)
x 72
244)
The score on a test was between 83 and 70.
A)
83 < x <70
B)
70 < x <83
C)
x >70
D)
x <83
245)
The cost is no more than $631.54.
A)
x <631.54
B)
x 631.54
C)
x 631.54
D)
x >631.54
246)
The number of people at a concert is not to exceed 3157.
A)
x <3157
B)
x >3157
C)
x 3157
D)
x 3157
247)
The height of a member of the basketball team is at least 81 inches.
A)
x 81
B)
x >81
C)
x 81
D)
x <81
248)
Five times a number less twenty–six must be more than sixty.
A)
5(x –26) 60
B)
5(x –26) >60
C)
5x –26 60
D)
5x –26 >60
249)
Five added to half of a number is at most eight.
A)
1
2x +5>8
B)
1
2x +5<8
C)
1
2x +58
D)
1
2x +58
Solve the problem.
250)
A salesperson has two job offers. Company A offers a weekly salary of $120 plus commission of 6% of sales.
Company B offers a weekly salary of $240 plus commission of 3% of sales. What is the amount of sales above
which Company A‘s offer is the better of the two?
A)
$4000
B)
$4100
C)
$2000
D)
$8000
251)
Company A rents copiers for a monthly charge of $240 plus 12 cents per copy. Company B rents copiers for a
monthly charge of $480 plus 6 cents per copy. What is the number of copies above which Company A’s charges
are the higher of the two?
A)
8000 copies
B)
2000 copies
C)
4000 copies
D)
4100 copies
252)
A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus
$.07 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking
Rate 2?
A)
B)
C)
D)
253)
Jim has gotten scores of 87 and 61 on his first two tests. What score must he get on his third test to keep an
average of 80 or greater?
A)
At least 74
B)
At least 91
C)
At least 76.0
D)
At least 92
254)
A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 39 marbles in it. At
least how many green marbles does it have?
A)
B)
C)
D)
255)
Jon has 1035 points in his math class. He must have 87% of the 1400 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?
A)
365 points
B)
183 points
C)
900 points
D)
1218 points
256)
DG’s Plumbing and Heating charges $50 plus $75 per hour for emergency service. Bill remembers being billed
just over $450 for an emergency call. How long to the nearest hour was the plumber at Bill’s house?
A)
7 hours
B)
5 hours
C)
13 hours
D)
17 hours
257)
A 9–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 31 2
3 lb?
A)
B)
C)
D)
258)
In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least
166.17°F. Find the Celsius temperatures at which the reaction may occur. (F =9
5C + 32)
A)
C 74.54°
B)
C 331.11°
C)
C <331.11°
D)
C 74.54°
259)
In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 121.93°C. Find
the Fahrenheit temperatures at which the reaction will remain stable. (F =9
5C + 32)
A)
F 251.47°
B)
F 49.96°
C)
F 251.47°
D)
F 49.96°
260)
The equation y =0.005x – 0.20 can be used to determine the approximate profit, y in dollars, of producing x
items. How many items must be produced so the profit will be at least $2487?
A)
x 497,440
B)
x 497,360
C)
x 497,440
D)
0 < x 497,439
261)
If the formula R = – 0.037t + 50.1 can be used to predict the world record in the 400–meter dash t years after
1925, for what years will the world records be 48.1 seconds or less?
A)
1955 or after
B)
1980 or after
C)
1981 or after
D)
1979 or after
29
262)
If the formula P = 0.5643Y – 1092.57 can be used to predict the average price of a theater ticket after 1945, for
what years will the average theater ticket price be at least 42 dollars? (Y is the actual year.)
A)
2013 or after
B)
2011 or after
C)
2009 or after
D)
2021 or after
263)
One side of a rectangle is 16 inches and the other side is x inches. What values of x will make the perimeter at
least 48?
A)
x 8
B)
0 < x 8
C)
x <8
D)
x 8
264)
One side of a rectangle is 5 inches and the other side is x inches. What values of x will make the perimeter at
most 36?
A)
x 13
B)
x 13
C)
x <13
D)
0 < x 13
265)
One side of a rectangle is 2 times the other, and the perimeter is not to exceed 72. Find the possible values for x,
the length of the shorter side.
A)
x 24
B)
x 12
C)
0 < x 12
D)
0 < x 24
266)
One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths
of the base will allow the perimeter of the triangle to be at least 44 cm?
A)
x 14
B)
0 < x 14
C)
x 20
D)
x >10
267)
One side of a rectangle is 13 inches and the other side is x inches. Find the value of x if the area must be at least
130 square inches.
A)
0 < x 10
B)
x =10
C)
x 10
D)
x 10
268)
The area of a triangle must be at most 52 square inches, the base is 13 inches, and the height is x inches. Find the
possible values for x.
A)
0 < x 8
B)
0 < x 16
C)
0 < x 4
D)
x <8
269)
The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What
is the maximum length of the triangular flags, if they want to use a maximum of 297 in.2 of cloth?
A)
66 in.
B)
35 in.
C)
16.5 in.
D)
33 in.
270)
A shop keeper is making a triangular sign for his store front, but he must keep the sign under 20 ft2 to adhere to
zoning laws. If the base of the sign is 16 ft, what is the maximum height of the triangular sign?
A)
24 ft
B)
2.5 ft
C)
1.25 ft
D)
0.625 ft
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
271)
True or false: The solution of the equation 7y – 6 = 7y + 3 is zero.
Answer:
False. It has no solution.
30
272)
The solution for the equation 4(9s – 5) =36s – 20 is given as 0. Is this correct? Explain.
273)
Write the steps you would use to solve this equation: 4(x – 1) + 7x =-2x.
274)
What value of K makes this equation equivalent to x = 3?
3x – 9 = K
275)
What value of K makes this equation equivalent to x = 3?
9
K + x = 3
276)
What value of K makes this equation equivalent to x =5?
5x + 12x – 2 = K + 4
277)
Find all values of s that make this statement true: 4(8s – 6) =32s – 24.
278)
Find all values of x that make this statement true: (x – 6) – 7 = (x – 7) – 6.
279)
Express three consecutive integers, all in terms of x, if x is the largest integer.
280)
One number is twice another. If the larger number is m, how do you express the other number in terms of m?
31