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Worksheets

Expressions Chapter (all)

Total questions: 90

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

6(6k - 2)

(a)  

2.

4(2b + 3)

(a)  

3.

2 (9 + 2g)

(a)  

4.

Distribute

10(x - 20)

a)

10x + 20

b)

10x - 200

c)

10x + 30

d)

10x - 20

5.

Distribute

9(x - 5)

a)

9x -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

6.

Simplify the following expression:


5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

7.

Simplify:


2(4x - 7)

a)

8x -14

b)

8x-7

c)

6x+7

d)

8x+14

8.

Simplify:

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

9.

Distribute.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

10.

Which of the following expressions is equivalent to:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

11.

Use the GCF and the Distributive Property to express the sum as a product for 64+32

a)

32(2+1)

b)

16(4+2)

c)

8(8+4)

d)

8(5+7)

12.

Use the GCF and the Distributive Property to express the sum as a product for 20 + 30

a)

10(2+3)

b)

10(5+2)

c)

5(4+6)

d)

5(4+9)

13.

Use the GCF and the Distributive Property to express the sum as a product for 32 + 16

a)

16(2 + 1)

b)

16(1 + 3)

c)

4(8 + 4)

d)

4(8 + 3)

14.

Use the GCF and the Distributive Property to express the sum as a product for 24 + 18

a)

6(4+3)

b)

12(2+1)

c)

6(4 + 2)

d)

6(3 + 3)

15.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
16.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
17.
What is/are the constant(s) of 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
18.
How many terms are in the following expression?
8n + 2 - 7x
a)
1
b)
2
c)
3
d)
4
19.
What is/are the coefficient(s) of
 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
20.
3 + 12c - 4c 
a)
16c + 3 
b)
8c + 3 
c)
5c 
d)
8c 
21.

Simplify: 4f2 + 3h - g + f

a)

5f2 + 3h - g

b)

7fhg

c)

4f2 + 3hgf

d)

Can't be simplified

22.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

23.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

24.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

25.

Simplify: 10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

26.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

27.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

28.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

29.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

30.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
31.

p + 3


when p = 8

a)

5

b)

9

c)

10

d)

11

32.

What word or words tell you to divide?

Select ALL that apply.

a)

half

b)

quotient

c)

product

d)

double

33.

What word or words tell you to multiply?

Select ALL that apply.

a)

times

b)

difference

c)

product

d)

double

34.

What word or words tell you to add?

Select ALL that apply.

a)

sum

b)

plus

c)

product

d)

add

35.

What word or words tell you to subtract?

Select ALL that apply.

a)

minus

b)

difference

c)

product

d)

less than

36.

Evaluate 6y - 13 if y = 4

a)

51

b)

11

c)

37

37.

Evaluate 3x - 7 if x = 6

a)

9

b)

11

c)

29

d)

25

38.
Evaluate 4y  if       y = 3
a)
7
b)
12
39.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
40.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
41.
Write an expression to match the words:
the quotient of twenty and two
a)
20 x 2
b)
20 + 2
c)
20 - 2
d)
20 ÷ 2
42.
Write an expression to match the words:
the sum of three and eleven
a)
3 x 11
b)
11 ÷ 3
c)
3 + 11
d)
11 - 3
43.

The words


quotient of, divided by, separated into


translate to which mathematical operation?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

44.

The words


of, product of, multiplied by


translate to which mathematical operation?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

45.

The words


fewer than, less than, decreased by and difference of


translate to which mathematical operation?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

46.

The words


sum of , increased by, in addition to, or more than


translate to which mathematical operation?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

47.

If there are 20 balloons at a party and a number (b) of them burst, how many balloons are left?


Write the phrase as an expression:

a)

b - 20

b)

20(b)

c)

20 - b

d)

20 + b

48.

Evaluate 2n + 7 if

n = 7

a)

34

b)

21

c)

14

d)

It is not mathematically possible to find an answer to this question

49.

Evaluate 4a if a=5

a)

45

b)

9

c)

20

d)

True

50.

Evaluate x + 8 if x = 2

a)

6

b)

8

c)

10

d)

12

51.
Perry has 17 fewer baseball cards than Pete.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
a)
b + 17
b)
b -17
c)
17 - b
d)
17 + b
52.

Write the phrase as an expression:


a number less than eleven

a)

x + 10

b)

x - 11

c)

11 - x

d)

11/x

53.

Write the phrase as an expression:


a number increased by two

a)

x + 2

b)

x - 2

c)

2x

d)

x/2

54.

Write the phrase as an expression:


twenty times a number

a)

20 + x

b)

x - 20

c)

20x

d)

x/20

55.

Write the phrase as an expression:


the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12x

d)

x/12

56.

Write the phrase as an expression:


the product of a number and eight

a)

x + 8

b)

x - 8

c)

8x

d)

8/x

57.

Write the phrase as an expression:


the sum of a number and five

a)

x + 5

b)

x - 5

c)

5x

d)

x/5

58.
Write the expression.
$5 less on dinner than James spent.
a)
5 + j 
b)
j x 5 
c)
j - 5 
d)
j ÷ 5 
59.
Write the expression. 
Twelve times the number of feet.
a)
f + 12
b)
f - 12
c)
12f
d)
12 ÷ f
60.
Write the expression. 
Ten times the minutes spent exercising. 
a)
m ÷ 10 
b)
10 ÷ m 
c)
10m
d)
m + 10
61.
Write the expression. 
The English class has half as many students as the math class. 
a)
s x 2
b)
s + 20
c)
s ÷ 2
d)
s + 2
62.
Write the expression. 
Five dollars less than Tim's pay. 
a)
p + 5
b)
p - 5
c)
5p
d)
p ÷ 5
63.
Write the expression.
Three times as many drinks on the tray.
a)
d + 3
b)
d - 3
c)
3d
d)
3 ÷ d 
64.
Write the expression.
Twelve fewer questions than were on the first test. 
a)
12 + q
b)
q - 12
c)
q x 12
d)
q ÷ 12
65.
Write the expression.
Three more cookies than are in the jar. 
a)
C x 3
b)
C - 3
c)
C + 3
d)
C ÷ 3
66.

Find the error:

10 + 6 + (2 x 3) x 8

10 + 6 + 6 x 8

16 + 6 x 8

22 x 8

176

a)

There is no error.

b)

My second step should have been to multiply 6 x 8

c)

My third step should have been to multiply 6 x 8

d)

My first step should have been to add 10 + 6

67.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
68.

20 + (6·5) + 10 - 32 ?

a)

( 20 - 2 ) + 52 + 2·4

b)

25 + 2(15 - 5) + 32

c)

( 10 - 8 ) + 32 + 4·4

d)

( 20 - 2 ) + 42 + 3·4

69.

Solve:

6+(32)6+\left(3-2\right)  

a)

0

b)

1

c)

7

d)

6

70.

Solve:

62 66^2\ -6  

a)

12

b)

10

c)

6

d)

30

71.

Solve:

(1+4) x 5-10

a)

10

b)

15

c)

5

d)

25

72.

Solve:

(3+2)×3+1 \left(3+2\right)\times3^{ }+1\  

a)

80

b)

10

c)

16

d)

8

73.

Solve:

(2 +2)÷22 \left(2\ +2\right)\div2^{2\ }  

a)

2

b)

1

c)

4

d)

8

74.

Solve:

(4 +2) +22\left(4\ +2\right)\ +2^2  

a)

10

b)

6

c)

4

d)

0

75.
What are the factors for 54?
a)
5 x 5 x 5
b)
4 x 4 x 4 x 4 x 4
c)
5 x 5 x 5 x 5
76.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
77.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
78.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
79.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
80.
Which is equivalent to 9o
a)
1
b)
0
c)
9
d)
No Answer
81.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
82.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
83.
Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 
a)
45
b)
54
c)
46
d)
46
84.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
85.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

93

86.

Which is GREATER?

27 or 72

a)

27

b)

72

c)

Neither, they are equal

87.

Which is equivalent to 24?

a)

8

b)

20

c)

16

d)

12

88.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

75

b)

76

c)

67

d)

77

89.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

90.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

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