1. Sarah drives 55 mi/h for h hours. Which expression shows the number of miles that Sarah drove?
A 55h
B 55 � h
2. Which is a correct verbal expression for 9 � n?
A n more than 9
B the quotient of 9 and n
C the product of 9 and n
D 9 less than n
3. Evaluate m � n for m � 5 and n � 4.
A 1 C 20
B 9 D 54
4. Add �11 � 23.
A �12
B 12
5. Subtract 32 � 15.5.
A 16.5
B 15.5
6. Evaluate x � (�3) for x � 15.
A �18 C 12
B �12 D 18
7. Multiply �2(9).
A 18
B �18
8. Divide �4 � �16.
A �4 C 1 __ 4
B � 1 __ 4 D 4
9. Evaluate 4 __ x for x � 0.
A undefined C 1
B 0 D 4
10. 210 students attended the school dance. If each ticket cost $15, how much money was spent on tickets?
A $1260
B $3150
11. Evaluate � 1 __ 2 � 4 .
A 1 ___ 16
C 1 __ 4
B 1 __ 8 D 1 __
2
12. Evaluate 10 3 .
A 30
B 1000
13. Find ��
4 __ 9 .
A 16 ___ 81
B 2 __ 3
14. Which of the following numbers is a whole number?
A �2 C 4.1
B 3 D �
15. Which number is NOT an integer?
A �4 C 1.5
B 0 D ��
16
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16. A square rug has an area of 36 square feet. How long is one side of the rug?
A 6 feet C 18 feet
B 9 feet D 32 feet
17. Simplify 7 � 5 • 2.
A 17
B 24
18. Simplify 20 � 2 2 _______ 6 � 4
.
A 8 C 50
B 32 D 162
19. Evaluate 2 (x � 1) 3 for x � 3.
A 4 C 16
B 12 D 125
20. Which algebraic expression represents “four times the difference of 7 and 1”?
A 4(7 � 1) B 4 • 7 � 1
21. Which algebraic expression represents “k squared more than 10”?
A (10 � k) 2 B 10 � k 2
22. The expression b � 2l can be used to find the perimeter of an isosceles triangle, where b represents the base and l represents the legs. Find the perimeter of an isosceles triangle whose base measures 15 cm and whose legs measure 10 cm.
A 35 cm
B 170 cm
23. Simplify 8 1 __ 2 � 1 � 2 1 __
2 .
A 8 C 10
B 9 D 11
24. Simplify 4x � y � 2x.
A 6x � y C 7x
B 6x 2 � y D 7xy
25. Simplify 12(n � 1) � 2n.
A 14n � 1
B 14n � 12
Use this coordinate plane for questions 26 and 27.
1. A principal spent $1560 on c calculators for her school. Which expression shows the cost of one calculator?
A c � 1560 C 1560c
B 1560 � c D 1560 _____ c
2. Which is a correct verbal expression for 8n?
F n more than 8
G the quotient of 8 and n
H the product of 8 and n
J 8 increased by n
3. Evaluate m � n for m � 9 and n = 7.
A 2 C 63
B 16 D 97
4. Add �8 � �27.
F –35 H 19
G –19 J 35
5. Subtract 16.5 � 40.
A �24.5 C 23.5
B �23.5 D 24.5
6. Evaluate �x � (�6) for x � 10.
F �16 H 4
G �4 J 16
7. Multiply �1(�14).
A �15 C 14
B �14 D 15
8. Divide �5 � 30.
F �6 H 1 __ 6
G � 1 __ 6 J 6
9. Evaluate x ___ 25
for x � 0.
A undefined C 1
B 0 D 25
10. The room service manager of a hotel ordered 2100 bars of soap. The shipment was sent in 25 cases. How many bars of soap were in each case?
F 40 H 84
G 62 J 96
11. Evaluate � 3 __ 4 � 3 .
A 27 ___ 64
C 9 ___ 12
B 9 ___ 16
D 27 ___ 16
12. Evaluate �1 3 .
F –3 H 1
G –1 J 3
13. Find ��
36 ____ 100
.
A 6 ___ 50
C 6 ___ 10
B 18 ___ 50
D 18 ___ 10
14. Which of the following numbers is an integer?
F �4 H 1 __ 2
G 0. _ 3 J �
� 5
15. Which is NOT a rational number?
A 0 C ��
12
B 1 __ 9 D 17
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16. A square window has an area of 64 square feet. How long is one side of the window?
F 6 feet H 14 feet
G 8 feet J 16 feet
17. Simplify (5 � 4 • 2) � 3 • 2 3 .
A �203 C �6
B �11 D 80
18. Simplify �2 • (3 � 9)
__________ 8 � 2 � 1
.
F �8 H 1
G �3 J 6
19. Evaluate 4 (6 � x) 3 for x � 2.
A 48 C 256
B 64 D 4096
20. Which algebraic expression represents “the sum of the square of x and 5”?
F x 2 � 5 H x � 5 2
G (x � 5) 2 J x 2 � 5 2
21. Which algebraic expression represents “n squared less than 4”?
A (4 � n) 2 C n 2 � 4
B (n � 4) 2 D 4 � n 2
22. The expression 6s 2 can be used to find the surface area of a cube whose side length is s. Find the surface area of a cube whose side length is 7.25 inches.
F 87 in 2 H 315.375 in 2
G 261 in 2 J 1892.25 in 2
23. Simplify 3 1 __ 3 � 7 � 10 2 __
3 .
A 6 C 7
B 6 1 __ 3 D 7 2 __
3
24. Simplify 3a � 6a � 5b.
F 4a H 9a � 5b
G 4ab J 9a 2 � 5b
25. Simplify �5(p � 8) � p.
A �44p C �4p � 8
B 36p D �4p � 40
Use this coordinate plane for questions 26 and 27.
1. The width of a rectangle is 6 units less than its length x. Which expression shows the width of the rectangle?
A x � 6 C x � 6
B 6 � x D 6x
2. Which verbal expression shows 4 � n?
F n divided by 4
G the quotient of 4 and n
H the product of 4 and n
J 4 decreased by n
3. Evaluate x � y for x � 3 and y � 12.
A 0.25 C 9
B 4 D 36
4. Add �1.4 � �2.8.
F �4.2 H �1.4
G �3.2 J 1.4
5. Subtract 1 __ 5 � 10.
A �10 1 __ 5 C 9 4 __
5
B �9 4 __ 5 D 10 1 __
5
6. Evaluate �7 � (�x) for x � �1.
F �8 H 6
G �6 J 8
7. Multiply (�0.5)(�27).
A �135 C 13.5
B �13.5 D 135
8. Divide � 1 __ 2 � � 2 __
3 .
F �3 H 3 __ 4
G � 4 __ 3 J 1 __
3
9. Evaluate 4.7 � x for x � 0.
A undefined C 1
B 0 D 4.7
10. A hot air balloon ascends at a rate of 60 feet per minute. What is its elevation after 4.5 minutes?
F 13 1 __ 3 ft H 240 ft
G 64.5 ft J 270 ft
11. Evaluate � � 4 __ 5 � 3 .
A � 16 ___ 25
C 64 ____ 125
B � 64 ____ 125
D 16 ___ 25
12. Evaluate �3 3 .
F �27 H 9
G �9 J 27
13. Find � ��
121 ____ 169
.
A � 11 ___ 12
C 11 ___ 14
B � 11 ___ 13
D 11 ___ 13
14. Which of the following numbers is an integer?
F �1.7 H 13
G 0. _ 3 J �
� 11
15. Which number is NOT an irrational number?
A � ��
2 C �
B ��
3 D 5. _
12
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16. A square mirror has an area of 225 ft 2 . How long is one side of the mirror?
F 9 feet H 25 feet
G 15 feet J 62.5 feet
17. Simplify 36 � (4 � 5) • 2 � 3 3 .
A 1 C �19
B �8 D �100
18. Simplify �2 � (5 � 9)
___________ 3 2 � 5
.
F �3 H �12
G �4 J �16
19. Evaluate � 3 � x � 9 � � 2 for x � 5.
A 12 C 66
B 36 D 144
20. Which expression represents “the difference of x and the square of 6”?
F x � 6 2 H 6 2 � x
G x � ��
6 J x 2 � 6 2
21. Which expression represents “n squared more than 11 squared”?
A (11 � n) 2 C 11 2 � n 2
B ��
11 � �� n D 11 � n 2
22. The expression 2�r(r � h) can be used to find the surface area of a cylinder. Find the surface area of a cylinder whose radius r is 4 cm and whose height h is 7 cm. (Use 3.14 for � and round to the nearest hundredth.)
F 107.53 cm 2 H 483.81 cm 2
G 276.32 cm 2 J 703.72 cm 2
23. Simplify 4.25 � 11 � 6.75.
A �22 C �8.5
B �13.5 D 0
24. Simplify 7a 2 � 9a 2 � 3a.
F 13a H 16a 2 � 3a
G 13a 2 J 16a 4 � 3a
25. Simplify �4(1 � t ) � 7t.
A �4 � 24t C �4 � 6t
B �4 + 3t D �4 � 11t
Use this coordinate plane for questions 26 and 27.
1. Juan bought n video games. Write an expression to show the total cost of the games if each game cost $16.
2. Write two verbal expressions for 2d.
3. Evaluate pq for p � 5 and q � 9.
Add or subtract.
4. �4 � 23
5. �14 � (�11)
6. x � (�9) for x � �3
Multiply or divide.
7. �7(�5)
8. 39 � �13
9. x __ 7 for x � 0
10. Kate earns a weekly allowance of $12. How much money will she earn in 8 weeks?
Evaluate each expression.
11. (�9) 2
12. � 2 __ 3 � 2
13. Find � ��
1 __ 4 .
Classify the real number. Write all classifications that apply: Natural, Whole, Integer, Rational, Terminating, Repeating, and Irrational.
14. 1 __ 4
15. 2
16. A table is shaped like a square and has an area of 100 square feet. Find the length of one side of the table.
Chapter TestForm A1
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Simplify each expression.
17. 36 � 4 � 2
18. [40 � (7 � 1) 2 ]
19. Evaluate 7 � x 2 for x � 3.
Translate each word phrase into an algebraic expression.
20. the product of 3 and the sum of 8 and n
21. the sum of 2 and the square root of 3
22. The expression 5w � 2p can be used to find the number of dollars a bag of mixed nuts will cost, where w is the number of pounds of walnuts and p is the number of pounds of peanuts. Find the cost of a bag containing 2 pounds of walnuts and 3 pounds of peanuts.
Simplify each expression.
23. 40 • 11 • 1 __ 2
24. 19x 2 � 13x 2
25. 9(x � 1) � 3
Use this coordinate plane for questions 26 and 27.
y
-5 5-4 -3 -2 -1 10
2 3 4
A
B
54321
-1-2-3-4
x
-5
26. What are the coordinates of point A?
27. In which quadrant does point B lie?
28. Generate ordered pairs for the function y � 2x � 1 using x � �2, �1, 0, 1 and 2.
1. Raquel bought p pencils. Write an expression to show the total cost of the pencils if each pencil cost $0.75.
2. Write two verbal expressions for b � 30.
3. Evaluate p � q for p � 11 and q � 8.
Add or subtract.
4. �50 � 17
5. �4 1 __ 3 � � �5 1 __
3 �
6. 2 � x for x � �7
Multiply or divide.
7. 16(�2)
8. �42 � �6
9. �3 ___ x for x � 0
10. A typist can type 45 words per minute. At this rate, how many words can she type in half an hour?
Evaluate each expression.
11. (�7) 2
12. � � 1 __ 5 � 4
13. Find � ��
1 ___ 36
.
Classify the real number. Write all classifications that apply.
14. 1 __ 5
15. 1
16. A dance floor is shaped like a square with an area of 196 square feet. Find the length of one side of the dance floor.
Chapter TestForm B1
CHAPTER
14 ft
1350
undefined
7
�32
9
�9 2 __ 3
natural number, terminating decimal
rational, integer, whole number,
decimal
rational, terminating
49
1 ____ 625
� 1 __ 6
0.75p
Possible answers: 30 more than
b, b increased by 30
3
�33
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Simplify each expression.
17. (6 � 8) 2
_________ 56 � 4 • 2
18. (1 � 2 3 ) � 75 � 25 � 5
19. Evaluate 32 � x 2 � 2 for x � 2.
Translate each word phrase into an algebraic expression.
20. 15 less than the square root of x
21. the product of 3 and the absolute value of n
22. The expression 2lw � 2wh � 2lh can be used to find the surface area of a rectangular prism, where l is the length, w is the width, and h is the height of the prism. A rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 5 inches. Find the surface area of the prism.
Simplify each expression.
23. 45 • 30 • 1 __ 9
24. 19t 2 � 14t � 6t � t 2
25. 4(x � y) � 3y
Use this coordinate plane for questions 26 and 27.
1. Samir swam m fewer laps than his friend Kristen, who swam 8 laps. Write an expression for the number of laps Samir swam.
2. Write two verbal expressions for k ___ 10
.
3. Evaluate p � q for p � 1.4 and q � 0.1.
Add or subtract.
4. �17 � (�17)
5. 5.1 � 7.5
6. 3 __ 5 � x for x � 2 ___
15
Multiply or divide.
7. 14 � � 1 __ 2 �
8. �20 � �2 1 __ 2
9. xy for x � 0 and y � 1
10. John bikes 25 mi/h for a 3.5 hour trip. How many miles does he travel?
Evaluate each expression.
11. (�2) 6
12. � � 7 ___ 13
� 2
13. Find � ��
1.44 .
Classify the real number. Write all classifications that apply.
14. � 4 __ 3
15. 0
16. A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.
Chapter TestForm C1
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Simplify each expression.
17. (16 � 4 • 2) 2
___________ 7 � 1 � 10
18. 2 � 4 2 � 21 � � ��
34 � 9
19. Evaluate ��
x � 2 2 � 4 for x � 5.
Translate each word phrase into an algebraic expression.
20. the square root of the quotient of �s and �15
21. the difference of 16 and the absolute value of the product of �4 and x
22. The expression �r 2 h can be used to
find the volume of a cylinder, where r is the radius and h is the height of the cylinder. If a cylinder has a radius of 2 inches and a height of 7 inches, find its volume. (Use 3.14 for � and give your final answer to the nearest tenth.)
Simplify each expression.
23. 1 __ 4 • 30 • 2 __
3
24. 1.5x � 8(3 � 0.2x)
25. 1 __ 2 (�12x � y) � 5y
Use this coordinate plane for questions 26 and 27.
y
-5 5-4 -3 -2 -1 10
2 3 4
A
B
54321
-1-2-3-4
x
-5
26. What are the coordinates of point A?
27. In which quadrant does point B lie?
28. Generate ordered pairs for the function y � � � x � using x � �2, �1, 0, 1, and 2.
