Name:
Date:
CHAPTER TEST A
3
Algebraic Expressions
Concepts and Skills
25
Suggested Time:
30 min
(10 1 point 10 points)
Simplify each expression.
1. 9a 2a 5a
2.
3
1
1
x x x
4
2
8
3. 9.8y 5.2x 6.8y 7.2x
4.
2
5
1
1
p p
3
8
3
8
6.
1⎛ m
2
⎞
4⎝ 3
5⎠
Expand each expression.
5. 2.1(3p 5)
Factor each expression.
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7. 5p 35q
8. 18r 6s
Translate each verbal description into an algebraic expression.
Simplify.
9. Three-fifths x subtracted from 4 times one-eighth w
10. 60% of the product of one-twelfth y and two-thirds z
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Name:
Date:
Problem Solving
(Questions 11 to 13: 3 2 points 6 points,
Questions 14 to 16: 3 3 points 9 points)
Solve. Show your work.
11. A pencil costs $3.50 and a pen costs $6.70. Jessica bought m pens.
She also bought 4 fewer pencils than pens. Write an algebraic
expression for the total amount she spent.
a)
Write an algebraic expression for the remaining packets of nuts.
b)
Factor the expression.
13. Find the perimeter of the parallelogram.
2
7
x y cm
8
9
4
9
10 x y cm
32
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12. There are 26 packets of p almonds and 8 packets of q walnuts.
Of the total packets of nuts, ten were given away.
Chapter 3 Test A
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Name:
Date:
14. David and Denise share n pears in the ratio of 4 : 9.
a)
How many pears does Denise have in terms of n?
b)
If n 39, how many pears does Denise have? How many pears
does David have?
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15. The volume of a liquid is x liters. When five-eighths of the liquid are
poured into a container, the container is two-thirds full. What is the
volume of the container?
16. When 40% of the girls left the school assembly, the ratio of the number
of boys to girls became 3 to 4. If there were w girls when the assembly
started, what was the total number of boys and girls when the
assembly started?
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Name:
Date:
CHAPTER TEST B
3
Algebraic Expressions
Concepts and Skills
25
Suggested Time:
30 min
(10 1 point 10 points)
Simplify each expression.
1. 15.5x 6x 11.5x
2.
2
1
4
x x x
3
6
9
3. 7p 6q 5p 7q
4.
5
1
1
m m
6
2
6
Expand each expression.
5. 1.5(4p 2q)
1
7
6. (14m 63n )
Factor each expression.
8. 56x 24y
Translate each verbal description into an algebraic expression. Simplify.
9. q subtracted from 24 times four-fifteenths p
10. One-tenth x fewer than the sum of one-fifth y and 2x
34
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7. 15a 40b
Chapter 3 Test B
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Name:
Date:
Problem Solving
(Questions 11 to 13: 3 2 points 6 points,
Questions 14 to 16: 3 3 points 9 points)
Solve. Show your work.
11. Write an algebraic expression for the area of the figure below.
2.8 ft
a ft
1.2 ft
(a 3) ft
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12. Alex has $44x. He bought y sets of dishes. Each set of dishes costs $32.
a)
Write an algebraic expression for the amount of money he has now.
b)
Factor the expression.
13. Each pencil costs x cents and each eraser costs y cents. What is the
total cost, in dollars, of 10 pencils and 12 erasers?
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Date:
14. Jonathan’s age is one-third Belinda’s age now. In 12 years’ time,
Belinda will be m years old.
a)
Write an algebraic expression to represent Belinda’s age now.
b)
Write an algebraic expression to represent Jonathan’s age 5 years from now.
c)
If m 36, what will be Jonathan’s age 5 years from now?
16. There are d horses in a field. There are 16 more female horses
than male horses. Of the horses in the field, only 25%
of the male horses are brown. How many horses are black?
36
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15. Alice has $15 more than Barry. Charlene has only five-ninths of the
amount of Barry’s money. If Alice has x dollars, how much money
do they have altogether?
Chapter 3 Test B
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13 U 2 50
2
50
2
b)
Chapter 3 Test A
2
2
13
0
1
2
3
4
9.
10.
1
x
4
b)
15.
4
y ) cm
3
Denise: 27; David: 12
15
xL
16
16.
29
w
20
Chapter 3 Test B
17
x
18
2
1
4. m 3
2
1. 10x
2.
3. 12p q
5. 6p 3q
7. 5(3a 8b)
9x
7x 4
3
11 3 = 14
27
17
0
11
0
4
2
9
18
18
5
16
45
31
Yes; the p terms can be combined.
Yes; all three r terms can be combined.
No; the a, b, and c terms are not like terms.
Yes; the constant terms can be subtracted.
5t 6
11. 3 m
6a
13. 10b 2
8a 4
15. 6 10b
7c 14
17. 10d 15
2(3x 1)
19. 3(y 3)
8(a 2)
21. 7(2b 3)
c
23. b
3 2y
25. y 11
27. 7y
1
yz
30
9
n
13
14. a)
11 x
1
4
3
x
5
13. ( 20
2. 8
4. 26. 5 y
1
w
2
8. 6(3r s)
11. 2(5.1m 7)
12. a) 26p 8q 10
b) 2(13p 4q 5)
Chapter 3 Pre-Test
1. 2
3. 5
5.
x
5. 6.3p 10.5
7. 5(p 7q)
13. 12 cm
14. a) 15.2
b) 10.49
15. a) 9°C
b) 8°C
16. a) 19.5 lb
b) 4.875 lb
17. a) 56,520 ft
b) 50,817 ft
c) 39,659 ft
d) 5,680 ft
e) 10,981 ft
18. a) 1,349 ft
b) 30,384 ft
19. A: 40; B: 20; C: 30
Contestant B has the most points.
178
2.
3. 3y 2x
4 3 2 1
6.
7.
8.
9.
10.
12.
14.
16.
18.
20.
22.
24.
3
x
8
1
1
4. p
3
2
m
1
6.
12 10
1. 12a
π
2
6. 2m 9n
8. 8(7x 3y)
4
9. 24 ⎛ p ⎞ q
⎝ 15 ⎠
10.
1
19
y x
5
10
16.
7
d2
8
11. 4(0.4a 0.9) ft2
12. a) 44x 32y
b) 4(11x 8y)
13. $
14. a)
5x 6 y
50
m 12
b)
1
(m
3
c)
13
12 ) 5
1
15. (23x 210)
9
Chapter 4 Pre-Test
3
4
1. y 6
2. x 1
3. p 21
5. True
7. True
9.
4. z 2
6. False
8. True
5
6
7
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12. a)
8 8.5 9
Answers
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