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Equivalent Algebraic Expressions & The Distributive Property

Total questions: 100

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

Simplify the expression:

8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

2.

Simplify the expression

11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

3.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

4.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

5.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

6.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

7.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

8.
An algebraic expression is an expression that _______________________.
a)
contains only numbers
b)
contains numbers, variables, and operations
c)
contains only numbers and operations
d)
contains only variables
9.

Solve using distributive property.

2(x+3)

a)

2x-6

b)

2x+3

c)

2x+6

d)

2x-3

10.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

11.

Which expression is equivalent to 6(x + 12)?

a)

6x + 12

b)

6x + 72

c)

6x - 72

d)

6x - 12

12.

Which expression is equivalent to 7(n + 4)?

a)

7n - 28

b)

7n - 4

c)

7n + 4

d)

7n + 28

13.

Which expression is equivalent to 3(x + 10)?

a)

3x - 30

b)

3x - 10

c)

3x + 10

d)

3x + 30

14.

Which expression is equivalent to 12(x + 2)?

a)

12x - 24

b)

12x - 2

c)

12x + 24

d)

12x + 2

15.

Which expression is equivalent to 9(p + 4)?

a)

9p - 36

b)

9p + 36

c)

9p + 4

d)

9p - 4

16.

Which expression is equivalent to 2(y + 7)?

a)

2y - 14

b)

2y - 7

c)

2y + 14

d)

2y + 7

17.

Which expression is equivalent to 4(k + 11)?

a)

4k + 44

b)

4k + 11

c)

4k - 11

d)

4k - 44

18.

Which expression is equivalent to 8(c + 20)?

a)

8c - 160

b)

8c - 20

c)

8c + 20

d)

8c + 160

19.

Which expression is equivalent to 5(w + 4)?

a)

5w + 20

b)

5w + 4

c)

5w - 4

d)

5w - 20

20.

Which expression is equivalent to 10(3x + 2)?

a)

30x + 2

b)

30x - 20

c)

30x - 2

d)

30x + 20

21.

Which expression is equivalent to 4(3x + 5)?

a)

12x - 5

b)

12x - 20

c)

12x + 20

d)

12x + 5

22.

Which expression is equivalent to 3(3x + 7)?

a)

9x - 7

b)

9x + 7

c)

9x + 21

d)

9x - 21

23.

Which expression is equivalent to 8(2x + 2)?

a)

16x + 16

b)

16x - 16

c)

16x + 2

d)

16x - 2

24.

Which expression is equivalent to 2(5x + 4)?

a)

10x - 8

b)

10x + 8

c)

10x + 4

d)

10x - 4

25.

Which expression is equivalent to 9(2x + 5)?

a)

18x + 5

b)

18x - 45

c)

18x + 45

d)

18x - 5

26.

Which expression is equivalent to 8(3x + 4)?

a)

24x + 32

b)

24x - 32

c)

24x - 4

d)

24x + 4

27.

Which expression is equivalent to 7(5x + 3)?

a)

35x - 3

b)

35x + 3

c)

35x - 21

d)

35x + 21

28.

Which expression is equivalent to 6(2x + 8)?

a)

12x + 8

b)

12x + 48

c)

12x - 48

d)

12x - 8

29.

Which expression is equivalent to 9(3x + 2)?

a)

27x + 2

b)

27x - 2

c)

27x - 18

d)

27x + 18

30.

Which expression is equivalent to 5(4x + 2)?

a)

20x - 10

b)

20x + 10

c)

20x + 2

d)

20x - 2

31.

Which expression is equivalent to 9(x + 3)?

a)

9x + 27

b)

9x + 3

c)

9x - 3

d)

9x - 27

32.

Which expression is equivalent to 4(3x + 5)?

a)

12x - 5

b)

12x + 5

c)

12x + 20

d)

12x - 20

33.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
34.
Which of the following is equivalent to 5(2x + 3)?
a)
52x + 53
b)
7x + 10
c)
10x + 15
d)
10x + 3
35.
Which is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
36.
Which of the following is equivalent to
9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
37.
Which of the following is equivalent to 4x + 28
a)
4(x + 7)
b)
4(x + 28)
c)
4x + 7
d)
4(x + 24)
38.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
39.
Which of the following is equivalent to 16ab + 24b?
a)
8b(2a + 3)
b)
8ab(2 + 3)
c)
8a(2b + 3)
d)
8(2a + 3b)
40.
Factor the following expression: 
39u + 13
a)
3(13u + 1)
b)
13(3u + 1)
c)
u(39 + 13)
d)
1(u + 39)
41.
6(x + 3y) is equivalent to:
a)
6 + 18y
b)
6x + 18
c)
24xy
d)
6x + 18y
42.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
43.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
44.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
45.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
46.
Simplify the expression:
3(4 + 7y)
a)
12 + 21y
b)
13 + 21y
c)
14 + 21y
d)
16 + 21y
47.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
48.
4(8n+2)
a)
4n+2
b)
12n+6
c)
32n+8
49.
2(1+10v)
a)
2+12v
b)
2+20v
c)
2+9v
50.
6(7k+11)
a)
7k+11
b)
42k+66
c)
13k+16
51.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
52.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
53.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
54.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
55.
Solve using distributive property. 
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
56.
Solve using distributive property.
2(x+3)
a)
2x-6
b)
2x+3
c)
2x+6
d)
2x-3
57.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
58.
2(3v - 8) 
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
59.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
60.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
61.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
62.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
63.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

64.

Use the distributive property to simplify the expressions 3(4x + 9)

a)

4x + 27

b)

12x + 27

c)

7x + 12

d)

12x + 12

65.
Choose the equivalent expression for the given expression: 2(r + y)
a)
3ry
b)
2r + y
c)
2r + 2y
d)
3r + 3y
66.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
67.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
68.
In the given expression, the v and the r are  called the __________________. 
15v - 13r
a)
terms
b)
exponents
c)
coefficients
d)
variables
69.
In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u
a)
variables
b)
terms
c)
coefficients
d)
exponents
70.
Use the given expression to answer the following question. 
5x + 9 - 4b
There are _________ terms in the given algebraic expression. 
a)
2
b)
3
c)
4
d)
5
71.

Which of the following is equivalent to 3(x + 10)?

a)

3x + 10

b)

x + 10

c)

x + 30

d)

3x + 30

72.

3(b + 6) =

a)

3b x 6

b)

3b + 6

c)

b + 18

d)

3b + 18

73.

Find the mistake in this problem: 3(x + 2) = 3x + 2.

a)

Should have added the 3 and the x.

b)

There is no mistake in this problem.

c)

Should have multiplied the 3 with the 2.

d)

Should have added the 3 and the 2.

74.
Simplify    5(2 - 7n) =
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
75.
Choose the equivalent expression for the given expression: 2(r + y)
a)
3ry
b)
2r + y
c)
2r + 2y
d)
3r + 3y
76.
Which expression is equivalent to 7(3a + 4b)?
a)
21a + 28b
b)
10a + 11b
c)
21a + 4b
d)
10a + 28b
77.

Simplify the expression using the distributive property:

6(5x + 7)

a)

30x + 7

b)

30x + 42

c)

5x + 42

d)

11x + 13

78.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

79.

Use the Distributive Property to rewrite the algebraic expression.


7(x + 4)

(a)  

80.

Use the Distributive Property to rewrite the algebraic expression.


3(x + 11)

(a)  

81.

Use the Distributive Property to rewrite the algebraic expression.


8( x + 9)

(a)  

82.

Use the Distributive Property to rewrite the algebraic expression.


9(x + 6)

(a)  

83.

Use the Distributive Property to rewrite the algebraic expression.


6(x + 4)

(a)  

84.

Use the Distributive Property to rewrite the algebraic expression.


6(x + 4)

(a)  

85.

Identify the coefficient of the algebraic expression:

6w + 1

a)

6

b)

w

c)

1

d)

6w and 1

86.

Identify the variable of the algebraic expression:

6w + 1

a)

6

b)

w

c)

1

d)

6w and 1

87.

Identify the constant of the algebraic expression:

6w + 1

a)

6

b)

w

c)

1

d)

6w and 1

88.

Use the Distributive Property to write an equivalent expression:


3(x + 8)

a)

3x + 24

b)

3x + 11

89.

Use the Distributive Property to write an equivalent expression:


6(m - 2)

a)

6m - 12

b)

6m - 4

90.

Use the Distributive Property to write an equivalent expression:


8(4a + 7)

a)

32a + 56

b)

12a + 15

91.

Use the Distributive Property to write an equivalent expression:


8(4a + 7)

a)

32a + 56

b)

12a + 15

92.

Use the Distributive Property to write an equivalent expression:


10(2w + 4)

a)

20w + 40

b)

12w + 14

93.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
94.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
95.
2(3v - 8) 
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
96.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
97.
An algebraic expression is an expression that _______________________.
a)
contains only numbers
b)
contains numbers, variables, and operations
c)
contains only numbers and operations
d)
contains only variables
98.

Write an equivalent expression by distributing.


6(x+2)

a)

12x

b)

6x+2

c)

12x+6

d)

6x+12

99.

Write the equivalent expression by distributing


2(3x-1)

a)

6x

b)

2x-1

c)

5x-1

d)

6x-2

100.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30

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