Chapter 0 Basic Course Form A

Chapter 0 Basic course Form A
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Write the decimal as a percent.
____ 1. 0.036
a. 3.6% b. 36% c. 37% d. 3.7%
____ 2. 5.8
a. 0.58 % b. 58% c. 580 % d. 5.8 %
Write the percent as a decimal.
____ 3. 28%
a. 0.29 b. 2.8 c. 2.9 d. 0.28
____ 4. 3.7 %
a. 0.37 b. 3.7 c. 0.037 d. 3.7
Perform the indicated operation.
____ 5.
a. 25 b. 24 c. 7 d. 5
24 25 48 16
Math Basic course/Mrs. Mona Gad Chapter 0 1|Page

8
____ 6. 1
9
+
a. 49 b. 2 c. 5 d. 17
4 2 1
60 9 9 27
1 1
____ 7. 8
3
6
4
a. 1 b. 12 c. 4 d. 3
2 3
12 25 7 4
1 1
____ 8. 6
6
4
a. 1 b. 1 c. 24 d. 1
1 4 1
24 6 25 2
____ 9.
a. 4 b. 1 c. 3 d. 1
3 4 3
____10.
a. 3 b. 3 c. 1 d. 49
49 3 3

Solve the proportion.
____11.
a. 1 b. 1 c. 10 d. 25
64
____12.
a. 22 b. 24 c. 15 d. 17
____13. A fruit stand charges $3 for 4 pounds of assorted fruits. How much would 20 pounds
of assorted fruits cost?
a. $15 b. $8 c. $16 d. $21
____14. A fruit stand charges $4 for 7 pounds of assorted fruits. How much would 21 pounds
of assorted fruits cost?
a. $19 b. $12 c. $7 d. $15
Simplify the expression.
____15.
a. 88 b. –88 c. –44 d. 168

____16.
a. –19 b. –1 c. 15 d. 9
____17. Find the perimeter of the rectangle with length 97 inches and width 17 inches.
a. 228 in. b. 211 in. c. 1,649 in. d. 114 in.
Find the area of the figure.
____18.
7.6 cm
2.7 cm
Not drawn to scale
a. b. c. d.
____19. 22 in.
15 in. 18 in.
44 in.
a. b. c. d.
____20.
J
4 in.
a. b. c. d.
____21. Find the area of the triangle.
17 ft
74 ft
Not drawn to scale
a. 91 ft2 b. 148 ft2 c. 182 ft2 d. 629 ft2
____22. Find the area of the rectangle with length 27 inches and width 40 inches.
a. 67 in.2 b. 134 in.2 c. 1,080 in.2 d. 10,800 in.2

Find the area of the circle to the nearest tenth.
____23.
47 cm
a. 6,939.8 cm2 b. 73.8 cm2 c. 147.7 cm2 d. 1,734.9 cm2
____24.
7m
a. 44 m2 b. 153.9 m2 c. 615.8 m2 d. 38.5 m2
____25. The drawing is composed of a rectangle and a semicircle. Find the area of the figure to
the nearest tenth.
10 cm
18 cm
Not drawn to scale

a. 599 cm2 b. 217 cm2 c. 307 cm2 d. 689 cm2

Find the circumference of the circle with the given radius or diameter. Round to
the nearest unit.
____26.
25 in.
a. 28 in. b. 79 in. c. 1,963 in. d. 157 in.
____27.
17 cm
a. 53 cm b. 227 cm c. 20 cm d. 27 cm
____28. Find the radius of a circle with the circumference of 273 inches. Use 3.14 for .
Round to the nearest tenth.
a. 43.5 in. b. 136.7 in. c. 87 in. d. 5,944.7 in.

Find the area of the complex figure.
____29.
14 in.
12 in.
10 in.
20 in.
Not drawn to scale
a. 120 in.2 b. 234 in.2 c. 228 in.2 d. 240 in.2
____30. Find the volume of the cylinder. Round to the nearest tenth.
8 ft
19 ft
Not drawn to scale
a. 304 ft3 c. 3,820.2 ft3

b. 477.5 ft3 d. 955 ft3

Find the volume of the figure.
5m
4m
____31.
Not drawn to scale
a. b. c. d.
2.8 cm
7 cm
3 cm
____32.
Not drawn to scale
a. b. c. d.

9m
21 m
____33. 21 m
Not drawn to scale
a. b. c. d.
____34. A sphere has radius 5 cm. Find the volume to the nearest hundredth.
a. 523.60 cm3 b. 104.72 cm3 c. 314.16 cm3 d. 130.90 cm3
____35. In which quadrant is the point (7, 5)?
a. II b. IV c. III d. I
____36. In which quadrant is the point (–7, 4)?
a. IV b. II c. I d. III
Math Basic course/Mrs. Mona Gad Chapter 0 10 | P a g e

____37. In which quadrant is the point (–7, –6)?
a. III b. IV c. I d. II
Find the slope of the line.
____38.
a. 1 b. 2 c. −
1 d. −6
2 6
____39.
a. 5 b. −
1 c. 1 d. −3
3 5

____40. Find the slope of the line containing the points and .
a. −
1 b. −2 c. 1 d. 4
2 4
____41. Find the slope of the line containing the points and .
a. −
1 b. 1 c. 8 d. −2
2 8
____42. Find the midpoint M of the segment with endpoints C(6, 2) and D(–2, –4).
a. M(4, –2) b. M(2, –2) c. M(4, −1 ) d. M(2, −1 )
____43. Find the midpoint M of the segment with endpoints C(–3, 5) and D(6, –2).
a. b. c. (3, 3) d.
____44. Find the distance between (3, 4) and (4, –6). If necessary, round to the nearest tenth.
a. 10 units b. 101 units c. 7.3 units d. 53 units

____45. Find the distance between (6, 1) and (–2, –4). If necessary, round to the nearest tenth.
a. 89 units b. 25 units c. 9.4 units d. 5 units
Write the expression using exponents.
____46.
a. c.
b. d.
____47.
a. c.
b. d.
____48.
a. c.
b. d.

Write the expression so that all exponents are positive.
____49.
a. c.
b. d.
____50.
a. c.
b. d.
____51.
a. c. 0
b. d. 1
Simplify the expression.
____52.
a. b. c. d.

Simplify. Write the answer in standard form.
____53. 2(d2 – 9d – 5) + (d2 – 9)
a. c.
b. d.
____54. 2(z2 – 7z – 4) + (z2 – 3)
a. c.
b. d.
____55. (3g2 – 8g – 4) – (6g2 + 4g – 5)
a. 9g2 – 12g + 9 c. –3g2 – 12g + 1

b. 9g2 + 12g – 1 d. –3g2 + 12g + 1
____56. (9n2 – 5n – 9) – (7n2 + 7n – 2)
a. 2n2 – 12n – 7 c. 16n2 + 12n + 7

b. 2n2 + 12n – 7 d. 16n2 – 12n + 11
____57.
a. c.
b. d.
____58.
a. c.
b. d.
Factor the expression.
____59.
a. (x + 2)(x + 7) c. (x – 2)(x + 7)
b. (x + 2)(x – 7) d. (x – 2)(x – 7)
____60.
a. (x – 5)(x – 4) c. –3(x – 5)(x + 4)

b. (x + 5)(x + 4) d. –3(x + 5)(x – 4)
Write the number in scientific notation.
____61. 36,000,000
a. c.
b. d.
____62. –45,000,000
a. c.
b. d.

____63. 0.0000234
a. c.
b. d.
Write the number in standard form.
____64.
a. 3,600,000 c. 36,000,000
b. 360,000 d. 36,000
____65.
a. 0.00649 c. 0.000649
b. –0.0649 d. –0.0000649
____66. Find the value of c. Round to the nearest tenth.
c
14 ft
20 ft
Not drawn to scale
a. 24.4 ft b. 596 ft c. 14.7 ft d. 20.3 ft

In the problem, a and b are the lengths of the legs of a right triangle and c is the
length of the hypotenuse. Find the missing length and round to the nearest tenth,
if necessary.
____67. a if and
a. 22.1 b. 20.6 c. 19.6 d. 20.3
____68. The number of patients treated at Dr. Walters’s dentist office each day was recorded
for eight days. Use the data 10, 7, 8, 7, 6, 4, 3, 13 to find the mean, median, and mode
for this sample.
a. 7.25, 7, 7 c. 5.625, 7, 7
b. 7.25, 8, 7 d. 5.625, 8, 7
____69. Which data set has mode 14?
a. 20, 23, 20, 6, 14, 20 c. 12, 34, 18, 19, 14, 18

b. 17, 14, 24, 24, 14, 14 d. 19, 27, 3, 19, 14, 5
____70. Which data set has median 47?
a. 32, –3, 19, 8, 22 c. 39, 30, 15, 21, 43

b. 37, 51, 55, 47, 27 d. 14, 19, 3, –7, 27

____71. Which data set has mean 6.92?
a. 5.1, 8.3, 4.1, 6.4, 9.5 c. 9.4, 8.1, 4.5, 6.6, 9.6
b. 5.4, 7.7, 9.3, 4.2, 7.1 d. 6.1, 7.5, 7.3, 8.8, 4.9
What is the expression in simplest form.
____72.
a. 2 c. –2
b. 5 d. –5
____73.
a. c. –8
b. 8 d.
____74.
a. c.
b. d.

Perform the indicated operation.
____75.
a. c.
b. d.
____76.
a. c.
b. d.
____77.
a. c.
b. d.
____78. A study in your town found that 54 in 1,762 people have a post office box. What
percent of the people in town have a post office box? Round to the nearest hundredth
of a percent where necessary.
a. 3.26% b. 30.65% c. 3.06% d. 32.63%

____79. Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They
decide to leave a 15% tip. Each person will contribute an equal amount to the total tip.
Estimate what each person should contribute.
a. $19.00 b. $28.50 c. $1.90 d. $2.85
____80. A recent survey showed that 48% of 155 students in a school had traveled by plane in
the last year. Using fractions, estimate the number of students who have traveled by
plane in the last year.
a. 10 students b. 116 students c. 100 students d. 12 students
____81. 71% of 67
a. 47.57 c. 105.97
b. 10.6 d. 4.76
Use a proportion to solve the problem.
____82. 10 is 32% of what number?
a. 32 c. 3.2
b. 31.25 d. 312.5

____83. 41 is what percent of 205?
a. 84% c. 200%
b. 20% d. 8%
____84. While walking outside on a field trip 75%, or 15, of the students in the class wore
jackets. Find the number of students in the entire class.
a. 20 students c. 11 students
b. 66 students d. 113 students
Use an equation to solve the percent problem.
____85. Sales tax in one state is 4%. What is the amount of tax on a $56.70 purchase?
a. $56.74 b. $2.27 c. $4.57 d. $22.68
____86. There are 1,282 people under the age 20 in Pierce City. This represents 19% of the
total population. What is the total population?
a. 6,747 people c. 12,820 people

b. 24,358 people d. 6,897 people
____87. What percent of 380 is 190?
a. 50% c. 5%
b. 7% d. 70%
____88. What is 57% of 11?
a. 19.3 c. 6.27
b. 627 d. 0.19
____89. 224 is 25% of what number?
a. 560 c. 56
b. 896 d. 90
____90. The sales tax rate is 5.5%. Find the tax paid for a coat that costs $60.
a. $0.09 b. $0.92 c. $33.00 d. $3.30
____91. The sales tax rate is 6.9%.
a. Find the tax paid for a pair of boots with a list price of $128.
b. What is the total cost of the pair of boots?
a. $8.83; $128.88 c. $0.88; $136.83

b. $8.83; $136.83 d. $0.88; $128.88
____92. Doug is a salesperson in a retail store and earns $75 per week plus 15% of his weekly
sales. If Doug makes $555 one week, what are his sales that week?
a. $3,200 b. $627 c. $566 d. $1,914

____93. Find the sale price. Round to the nearest cent.
regular price: $57.63
percent of discount: 10%
a. $63.39 b. $5.76 c. $51.87 d. $57.53
____94. Find the regular price. Round to the nearest cent.

sale price: $56.78
percent of discount: 40%
a. $141.95 b. $96.78 c. $79.49 d. $94.63
____95. A bag contains 2 red marbles, 3 blue marbles, and 4 green marbles.
a. If you select a marble from the bag at random, what is the probability
that it will be blue?
b. Suppose you choose a red marble and do not put it back in the bag. If
you select another marble at random now, what is the probability that
it will be blue?
a. 2 3 c. 1 3
9
; 8 3
; 8
b. 1 1 d. 4 1
2
; 3 9
; 3

____96. A bag contains 5 red marbles, 7 blue marbles, and 6 green marbles.
a. If you select a marble from the bag at random, what is the probability
that it will be blue?
b. Suppose you choose a red marble and do not put it back in the bag. If
you select another marble at random now, what is the probability that
it will be blue?
a. 1 7 c. 7 7
;
3 18 11
; 18
b. 7 7 d. 5 7
;
18 17 18
; 17
Order the set of numbers from least to greatest.
6
____97. 0.67, 7 , 0.33, 0.8
a. 6 c. 0.67, 6 , 0.33, 0.8

7
, 0.8, 0.67, 0.33 7
b. 0.33, 0.67, 0.8, 6 d. 0.33, 0.8, 0.67, 6
7 7
8 6
____98. 0.8, 9 , 0.25, 7
a. 0.25, 6 , 0.8, 8 c. 0.8, 8 , 0.25, 6

7 9 9 7
b. 8 6 d. 0.25, 0.8, 6 8
, ,
9 7
0.8, 0.25 ,
7 9

____99. Coree can type 5,349 words in one hour. Convert this rate to words per minute.
a. 32,094 words per minute c. 89.2 words per minute

b. 320,940 words per minute d. 891.5 words per minute
____100. A train traveled a distance of 255 kilometers. If the trip took 4 hours, what was the
train’s average speed in meters per second? Give your answer to the nearest whole
unit.
a. 6 m/s b. 106 m/s c. 230 m/s d. 18 m/s
____101. A dozen apples costs $2.55. At this rate, how much would 8 apples cost?
a. $20.40 b. $3.83 c. $0.21 d. $1.70
____102. Sarah’s mother has a miniature village modeled after her home town. The model is 10
feet long and 7 feet wide. The actual village is 7 miles long. What is the village’s
actual width? If necessary, round to the nearest tenth of a mile.
a. 4.9 miles b. 10 miles c. 1 miles d. 0.7 miles
____103. The pair of polygons is similar. Find the value of x.
a. 187.5 in. b. 12 in. c. 30 in. d. 37.5 in.

____104. and are similar. Find the values of x and y.
a. x = 7, y = 12 b. x = 21, y = 12 c. x = 14, y = 18 d. x = 7, y = 18
____105. At the school store, 6 pencils sell for $.99. At this rate, what is the cost of 16 pencils?
a. $2.64 b. $3.79 c. $2.98 d. $1.65
____106. Carpet Masters charges $9.50 per square yard to clean a carpet. If you have two rooms
with an area of six square yards each, how much will it cost to have the carpets
cleaned?
a. $3.17 b. $114 c. $228 d. $342
____107. The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is
the actual distance between the cities?
a. 13 km b. 468 km c. 2.17 km d. 78 km

____108. The Mogul Runners ski club planned a trip to Park City. Of the total number of club
members, 11 signed up to go. If this is 25% of the club, how many members does the
ski club have?
a. 22 members b. 3 members c. 275 members d. 44 members
____109. Martha paid $42.40 for her sister’s birthday present. This included 6% sales tax. What
was the cost of the gift before tax?
a. $40.00 b. $44.94 c. $25.44 d. $2.40
____110. Tamika makes a 5.5% commission selling electronics. How much commission does
she make if she sells a flat-screen TV for $10,000?
a. $9,450 b. $550 c. $55,000 d. $1,818.18
Numeric Response
111. Use the figure, which is not drawn to scale.
17 cm
10 cm
22 cm
17 cm 19 cm
a. What is the area of the rectangle?
b. What is the area of the triangle?


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Chapter 0 Basic course Form A

Write the decimal as a percent.

a. 3.6% b. 36% c. 37% d. 3.7%

a. 0.58 % b. 58% c. 580 % d. 5.8 %

Write the percent as a decimal.

a. 0.29 b. 2.8 c. 2.9 d. 0.28

a. 0.37 b. 3.7 c. 0.037 d. 3.7

Perform the indicated operation.

Math Basic course/Mrs. Mona Gad Chapter 0 1|Page

Math Basic course/Mrs. Mona Gad Chapter 0 2|Page

a. $15 b. $8 c. $16 d. $21

a. $19 b. $12 c. $7 d. $15

Simplify the expression.

a. 88 b. –88 c. –44 d. 168

Math Basic course/Mrs. Mona Gad Chapter 0 3|Page

a. 228 in. b. 211 in. c. 1,649 in. d. 114 in.

Find the area of the figure.

Not drawn to scale

____21. Find the area of the triangle.

Not drawn to scale

a. 91 ft2 b. 148 ft2 c. 182 ft2 d. 629 ft2

a. 67 in.2 b. 134 in.2 c. 1,080 in.2 d. 10,800 in.2

Math Basic course/Mrs. Mona Gad Chapter 0 5|Page

a. 6,939.8 cm2 b. 73.8 cm2 c. 147.7 cm2 d. 1,734.9 cm2

a. 44 m2 b. 153.9 m2 c. 615.8 m2 d. 38.5 m2

Not drawn to scale

Math Basic course/Mrs. Mona Gad Chapter 0 6|Page

a. 28 in. b. 79 in. c. 1,963 in. d. 157 in.

a. 43.5 in. b. 136.7 in. c. 87 in. d. 5,944.7 in.

Math Basic course/Mrs. Mona Gad Chapter 0 7|Page

a. 120 in.2 b. 234 in.2 c. 228 in.2 d. 240 in.2

Not drawn to scale

a. 304 ft3 c. 3,820.2 ft3

Math Basic course/Mrs. Mona Gad Chapter 0 8|Page

Math Basic course/Mrs. Mona Gad Chapter 0 9|Page

Not drawn to scale

a. 523.60 cm3 b. 104.72 cm3 c. 314.16 cm3 d. 130.90 cm3

____35. In which quadrant is the point (7, 5)?

____36. In which quadrant is the point (–7, 4)?

Math Basic course/Mrs. Mona Gad Chapter 0 10 | P a g e

Find the slope of the line.

Math Basic course/Mrs. Mona Gad Chapter 0 11 | P a g e

a. M(4, –2) b. M(2, –2) c. M(4, −1 ) d. M(2, −1 )

a. 10 units b. 101 units c. 7.3 units d. 53 units

Math Basic course/Mrs. Mona Gad Chapter 0 12 | P a g e

a. 89 units b. 25 units c. 9.4 units d. 5 units

Write the expression using exponents.

Math Basic course/Mrs. Mona Gad Chapter 0 13 | P a g e

Simplify the expression.

Math Basic course/Mrs. Mona Gad Chapter 0 14 | P a g e

____53. 2(d2 – 9d – 5) + (d2 – 9)

____54. 2(z2 – 7z – 4) + (z2 – 3)

____55. (3g2 – 8g – 4) – (6g2 + 4g – 5)

a. 9g2 – 12g + 9 c. –3g2 – 12g + 1

____56. (9n2 – 5n – 9) – (7n2 + 7n – 2)

a. 2n2 – 12n – 7 c. 16n2 + 12n + 7

Factor the expression.

a. (x – 5)(x – 4) c. –3(x – 5)(x + 4)