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Worksheets

Equivalent Expressions & Combining Like Terms

Total questions: 100

Worksheet time: 2hrs 25mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.

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

a)

7x + 11

b)

7x + 28

c)

11x

d)

7x + 4

38.

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

a)

5x + 8

b)

5x + 15

c)

8x

d)

5x + 3

39.

Which expression is equivalent to 6(2x + 3)?

a)

12x + 18

b)

8x + 9

c)

11x

d)

12x + 3

40.

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

a)

14x + 4

b)

11x

c)

14x + 2

d)

9x + 4

41.

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

a)

8x - 6

b)

8x - 16

c)

10x

d)

8x - 2

42.

Which expression is equivalent to 3(4x - 2)?

a)

12x - 6

b)

7x - 1

c)

5x

d)

12x - 2

43.

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

a)

5x + 10

b)

5x + 2

c)

7x

d)

5x + 7

44.

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

a)

9x + 11

b)

9x + 18

c)

11x

d)

9x + 2

45.

Which expression is equivalent to 5x + 8y + 4x + 2y?

a)

9x + 10y

b)

20x + 16y

c)

19xy

d)

13y + 6x

46.

Which expression is equivalent to 8x + 8y + 9 + 2x?

a)

10x + 8y + 9

b)

16x + 11y

c)

18x + 9

d)

27xy

47.

Which expression is equivalent to 7x + 3 + 5x + 2y

a)

12x + 2y + 3

b)

10x + 7y

c)

17xy

d)

12x + 5y

48.

Which expression is equivalent to 9n + 4z + 10 - 3z?

a)

9n + z + 10

b)

9n + 7z + 10

c)

26nz

d)

13n + 7z

49.

Which expression is equivalent to 6m + 4v - 2m + 8v?

a)

4m + 12v

b)

10m + 6v

c)

16m

d)

10v + 6m

50.

Which expression is equivalent to x + g + x + g + x?

a)

2g + 3x

b)

3g + 2x

c)

4gx

d)

5gx

51.

Which expression is equivalent to y + p + y + 2p?

a)

2y + 3p

b)

5y

c)

5p

d)

3y + 2p

52.

Simplify the expression 8x - 2y + 5x + 9y

a)

13x + 7y

b)

24x

c)

10x + 14y

d)

13x - 7y

53.

Simplify the expression 8(2x - 5).

a)

16x - 5

b)

16x - 40

c)

6x - 3

d)

16x + 13

54.

What are the like terms in the expression -7x + 8 + 9x

a)

8

b)

-7x and 9x

c)

-7x and 8

d)

9 and 9x

55.

Simplify the expression 7(n - 6)

a)

7n - 42

b)

7n - 1

c)

7n + 42

d)

6n - 1

56.

Combine like terms

5x + 9 +2x

a)

16x

b)

7x + 9

c)

5x + 11x

57.

Combine like terms

9s + 15 + 37q -6s

a)

55sq

b)

3s + 37q + 15

c)

25s + 31sq

58.

Combine like terms

x +27 - 19 + 2

a)

x + 10

b)

2x + 46

c)

x + 46

59.

t - 2 + 7t + 2

a)

6t + 4

b)

9t + 2t

c)

8t

60.

Simplify the expression

12(v+4)

a)

16v

b)

12v + 4

c)

12v + 48

61.

Use the Distributive Property to create equivalent expressions. Combine like terms if necessary.

5(w+7) - 11

a)

5w + 35 - 11

b)

5w

c)

5w -4

d)

5w + 24

62.

Simplify the expression

8x +2(4x+3)

a)

14x + 3

b)

16x + 6

c)

14x + 6

63.

Simplify the expression

4(2m+8)

a)

8m+32

b)

8m+8

c)

40m

64.

 5a+2b3a+45a+2b-3a+4  

Simplify by combining like terms

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

65.

 3x+2x3x+2x  

Simplify the expression

a)

5x

b)

x

c)

6x

d)

5

66.

 2x+1+7x2x+1+7x  

Simplify the expression

a)

 10x10x  

b)

 1010  

c)

 9x+19x+1  

d)

 9+1x9+1x  

67.

Simplify the expression:

 7v+2+12+2v7v+2+12+2v  

a)

 2323  

b)

 23v23v  

c)

 9+14v9+14v  

d)

 9v+149v+14  

68.

Simplify the following expression

 9+5m49+5m-4  

a)

 5m55m-5 

b)

 10m10m  

c)

 5m+55m+5  

d)

 5m+135m+13  

69.

Simplify the following expression:

 3+5x+82x3+5x+8-2x  

a)

 3x2113x^2-11  

b)

 3x2+113x^2+11  

c)

 113x11-3x  

d)

 11+3x11+3x  

70.

Simplify by combining like terms:

 5a+2b3a+45a+2b-3a+4  

a)

 8a+2b+48a+2b+4  

b)

 2a+2b+42a+2b+4  

c)

 8ab8ab  

d)

 4ab+44ab+4  

71.

 Choose the correct equivalent expression.

 y+y+x+y+xy+y+x+y+x  

a)

 2+32+3  

b)

 x+yx+y  

c)

 2x+3y2x+3y  

d)

 5xy5xy  

72.

Simplify:

 2r+2+5r2+r2r+2+5r-2+r  

a)

 8r8r  

b)

 8r48r-4  

c)

 12r12r  

d)

 7r+4+r7r+4+r  

73.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

74.

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

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

75.

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

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

76.

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

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

77.

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

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

78.

Simplify: 8q + 3q - 6t + 2q - 4q

a)

3qt

b)

11q - 6t - 2q

c)

9q -6t

d)

Can't be simplified

79.

Simplify:  7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

 6y2 6y^{2\ }  

b)

 2y2 + 4y 2y^{2\ }+\ 4y\   

c)

 12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

80.

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

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

81.

Simplify: 12b + 4b2 - 10b

a)

4b2 + 2b

b)

4b2 + 22b

c)

6b2

d)

Can't be simplified

82.

Simplify: 5e + 7e - 10e + 9 e

a)

31e

b)

21e - 10e

c)

11e

d)

Can't be simplified

83.

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

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

84.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

85.

Simplify: 23s + 23d + 4s - 4d

a)

27s + 19d

b)

19s + 27d

c)

27s + 27d

d)

Can't be simplified

86.

Simplify: 7y + 2t + 4y

a)

15yt

b)

11y + 2t

c)

11y - 2t

d)

Can't be simplified

87.

What is the equivalent expression for 7k + 4 + 2k?

a)

4 + 7k + 2k

b)

13k

c)

9k + 4

88.

What is the equivalent expression for 7s + 8t + 10s +12t?

a)

17s + 20t

b)

37st

c)

15st+22st

89.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v5

c)

v + 5

d)

v(1 + 5)

90.

Which of the following equations is true?

a)

 3x+5=8x3x+5=8x  

b)

 3x+5x=8x3x+5x=8x  

c)

 3+5x=8x3+5x=8x  

91.
What are constants in an expression?
a)
The number before a letter
b)
The numbers without an letters.
c)
The + and - signs
d)
The letters
92.
What are coefficients?
a)
The letters in an expression
b)
The numbers without a letter
c)
The same as constants
d)
The number before a letter 
93.

True or False:
 4x+x+2x=7x4x+x+2x=7x  

a)

True

b)

False

94.

Simplify the expression:
 n10+9n3n-10+9n-3  

a)

 3-3  

b)

 9n39n-3  

c)

 8n+7-8n+7  

d)

 10n1310n-13  

95.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

96.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

5 + 14v

d)

9v + 14

97.

How many terms are in the following expression?

4n + 6 - 9 + n

a)

1

b)

2

c)

3

d)

4

98.
Which expression is equivalent to:
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
99.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
100.

Combine like terms:

3x + 2x + 3n - 7n

a)

5x + 10n

b)

5x + 4n

c)

5x - 4n

d)

5x - 10n