Free Printable Combining Like Terms

1.

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

a)

2y + 3p

b)

5y

c)

5p

d)

3y + 2p

2.

Simplify the expression 8(2x - 5).

a)

16x - 5

b)

16x - 40

c)

6x - 3

d)

16x + 13

3.

Simplify the expression 8(2x - 5).

a)

16x - 5

b)

16x - 40

c)

6x - 3

d)

16x + 13

4.

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

5.

Combine like terms

5x + 9 +2x

a)

16x

b)

7x + 9

c)

5x + 11x

6.

Combine like terms

9s + 15 + 37q -6s

a)

55sq

b)

3s + 37q + 15

c)

25s + 31sq

7.

Combine like terms

x +27 - 19 + 2

a)

x + 10

b)

2x + 46

c)

x + 46

8.

t - 2 + 7t + 2

a)

6t + 4

b)

9t + 2t

c)

8t

9.

-5c-6c

(a)

10.

12a-5a

(a)

11.

7y+2y

(a)

12.

12a-5a

(a)

13.

-5c-6c

(a)

14.

8x-10x+x

a)

2x

b)

-x

c)

-2x

d)

x

15.

3x - 9x + 2x²

Which of these are like terms in the expression above?

(a) and (b)

(use the same order as they appear in the expression)

Choose from the below words

3x

-9x

9x

2x

-3x

2x^2

16.

True or False: 100x and 100x² are like terms.

a)

True

b)

False

17.

Simplify the expression.

a)

7x²+3x+5

b)

9x²+4x+5

c)

4x +9x²+5

d)

9x²+3x+5

18.

19.

Simplify:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

20.

Simplify:

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

21.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

22.

Simplify:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

23.

Simplify:

n -10 + 9n - 3

a)

-3

b)

9n-3

c)

n

d)

10n -13

24.

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

25.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

26.

10( b + 3)

a)

10b + 30

b)

30b

c)

10b + 3

d)

10b - 3

27.

Which is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

28.

Distribute: 3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

29.

Which of the following is equivalent to 5(2x + 3)?

a)

52x + 53

b)

7x + 10

c)

10x + 15

d)

10x + 3

30.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

31.

3x - 9x + 2x²

Which of these are like terms in the expression above?

(a) and (b)

(use the same order as they appear in the expression)

Choose from the below words

3x

-9x

9x

2x

-3x

2x^2

32.

True or False: 100x and 100x² are like terms.

a)

True

b)

False

33.

Simplify the expression.

a)

7x²+3x+5

b)

9x²+4x+5

c)

4x +9x²+5

d)

9x²+3x+5

34.

35.

Simplify:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

36.

Simplify:

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

37.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

38.

Simplify:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

39.

Simplify:

n -10 + 9n - 3

a)

-3

b)

9n-3

c)

n

d)

10n -13

40.

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

41.

10( b + 3)

a)

10b + 30

b)

30b

c)

10b + 3

d)

10b - 3

42.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

43.

Which is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

44.

Distribute: 3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

45.

Which of the following is equivalent to 5(2x + 3)?

a)

52x + 53

b)

7x + 10

c)

10x + 15

d)

10x + 3

46.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

47.

A term can be made up of which of the following?

a)

a number

b)

a variable

c)

a coefficient with a variable

d)

all of the above

48.

How many terms are in the algebraic expression?

[hint: terms are separated by operators]

2y + x + 4 + y²

a)

4

b)

3

c)

5

d)

2

49.

Combine the like terms

-3x-2+4x+5

4 lines

50.

Simplify by combining like terms:

7b-3b+4f

a)

10b+4f

b)

$8b$

c)

$4b-4f$

d)

$4b+4f$

51.

Simplify by combining like terms:

4t-t+3

a)

$4t-4$

b)

$5t+3$

c)

$3t+3$

d)

$5t-3$

52.

Simplify by combining like terms:

8x+4x-3-3

a)

6

b)

$6x$

c)

$4x-6$

d)

$12x-6$

53.

Simplify by combining like terms:

7x+2y+9x+8

a)

$18xy+8$

b)

$16x+2y+8$

c)

$9xy+9x+8$

d)

$16x+10y$

54.

Simplify by combining like terms:

7f+8g+4f+3f+6f+2g

a)

$20f+11g$

b)

$21f+10g$

c)

$20f+10g$

d)

$22f+10g$

55.

Simplify by combining like terms:

9x+7y+4x-11y+10x-8x

a)

$15x-3y$

b)

$15x-4y$

c)

$16x-4y$

d)

$15x-5y$

56.

Simplify by combining like terms:

12x-15y-18x+17y+20x

a)

$14x+y$

b)

$14x+2y$

c)

$14x+3y$

d)

$15x+2y$

57.

Simplify by combining like terms:

3g+3h+3+2g+8

a)

$5g+3h+11$

b)

$8gh+11$

c)

$6g+5h+8$

d)

$6g+2h+11$

58.

How many terms are in this expression:

2x + 5 - x + 6x + 1

a)

3 terms

b)

4 terms

c)

5 terms

d)

6 terms

59.

n -10 +9n -3=

a)

9n - 3

b)

9n - 3

c)

10n + 13

d)

10n -13

60.

Simplify.

x - 44 + 1 - 15x

a)

-16x - 43

b)

-14x - 34

c)

-14x - 43

d)

-14x + 43

61.

Simplify.

-24 - 13x - 18x + 24

a)

-31x + 48

b)

-31x

c)

-31x - 48

d)

-31x - 24

62.

Simplify.

x + 40 + x - 19

a)

-2x - 21

b)

21

c)

-2x + 21

d)

2x + 21

63.

44n - 24 - 6n

a)

38n - 24

b)

38n + 24

c)

-38n - 24

d)

-38n + 24

64.

Simplify.

-5 - 12x + 1 - 19x

a)

-31x - 6

b)

31x + 6

c)

-31x + 4

d)

-31x - 4

65.

22n + 15 + 1 - 23n

a)

-2n -16

b)

-n - 16

c)

-n +16

d)

2n + 16

66.

-34x - 36 + 37 + 45x

a)

11x - 1

b)

11x + 1

c)

-11x + 1

d)

-11x - 1

67.

10p + 36 - 2p

a)

8p + 36

b)

-8p + 36

c)

12p + 36

d)

-12p +36

68.

-7 + 5x - 3x - 12x

a)

10x - 7

b)

-10x - 7

c)

-10x + 7

d)

10x + 7

69.

Simplify the Expression.

a)

13

b)

5

c)

5x

d)

13x

70.

Simplify the Expression.

a)

20f

b)

12f + 8

c)

24f + 8

d)

28 + f

71.

Simplify the expression.

a)

15

b)

13y

c)

5x + 8y

d)

14y - 1

72.

Simplify the Expression.

a)

9p + 4z

b)

13p

c)

13pz

d)

16pz - 3z

73.

Which is not a Like Term?

a)

2x

b)

-13x

c)

-13

d)

-2x

74.

Simplify by Combining Like Terms:

5n - n - 3 + 12d - 6 - 3d + (-12d)

(a)

75.

Simplify by Combining Like Terms:

10a - 5 -12a + 14

(a)

76.

Simplify by Combining Like Terms:

-2 - 4x + 6 - 4

(a)

77.

Simplify the Expression.

a)

9p + 4z

b)

13p

c)

13pz

d)

16pz - 3z

78.

$6x-3x+2y-y+8$

a)

$3x+y+8$

b)

$9x+3y+8$

c)

$3x-3y+8$

d)

$-3x+y-8$

79.

$16+7x-5x+4y-2y$

a)

$19xy$

b)

$2x-y-16$

c)

$2x-y+16$

d)

$2x+2y+16$

80.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

81.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

82.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

83.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

84.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

85.

In order to combine one or more terms together they must have....

a)

The same number

b)

The same variable

c)

The same variable and exponent

d)

The same exponent

86.

Which one best describes what coefficients are?

a)

The letters in an expression

b)

The numbers without a variable/letter

c)

The same as constants

d)

The number before a variable/letter

87.

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

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

88.

6x + 2y - 3x - y + 4y - 5y =

a)

3x

b)

9x + y

c)

6x + y

d)

3x + y

89.

Which one best describes how you feel after today.

a)

I understand how to combine like terms and do not need any more practice.

b)

I understand what like terms are but still get confused when it comes to combining them.

c)

I still don't understand like terms or how to combine them.

90.

How many terms are in this expression?

2x + 3y - 4x + 3

a)

2

b)

4

c)

3

d)

1

91.

What is the coefficient in the following expression?

3x + 7

a)

3

b)

x

c)

7

d)

3x + 7

92.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

93.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

94.

$-\frac{1}{3}\left(y\ -\ 9\right)$

a)

$\frac{1}{3}y+3$

b)

$-\frac{1}{3}y+3$

c)

$-\frac{1}{3}y-3$

d)

$-\frac{1}{3}y+9$

95.

0.5 (u - 6)

a)

0.5u + 6

b)

0.5u + 3

c)

0.5u - 6

d)

0.5u - 3

96.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

97.

simplify

3(2c - 5)

(a)

98.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

99.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

100.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

101.

Simplify

a)

-24x+36

b)

24x+36

c)

-24x+32

d)

24x-32

102.

What are letters called in any given expression? Example: In the expression 5x + 4, what is x called?

a)

Term

b)

Constant

c)

Variable

d)

Coefficient

103.

9 x (10 - 3) = (9 x 10) - (9 x 3) demonstrates which property?

a)

Identity Property of Multiplication

b)

Associative Property of Multiplication

c)

Distributive Property

d)

Associative Property of Addition

104.

5 x 2 = 2 x 5 demonstrates which property?

a)

Commutative Property of Multiplication

b)

Distributive Property

c)

Identity Property of Addition

d)

Identity Property of Multiplication

105.

5 (3 + 4) = 5 x 3 + 5 x 4 demonstrates which property?

a)

Distributive Property

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Associative Property of Multiplication

106.

7 + 6 = 6 +7 demonstrates which property?

a)

Distributive Property

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

107.

2 + (8 + 7) = (2 + 8) + 7 demonstrates which property?

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Identity Property of Addition

d)

Identity Property of Multiplication

108.

Simplify by combining like terms.
-14w + 8 + 9w - 2

a)

23w + 6

b)

-23w + 6

c)

-6w + 7

d)

-5w + 6

109.

Which of these are like terms?
-3x + 4 - 8x + 2xy

a)

-3x and -8x

b)

-3x and 4

c)

-3x and -8x and 2xy

d)

-8x and 2xy

110.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

111.

What are the terms of this expression?
2x + 3y - 4x + 3

a)

2, 3, -4, 3

b)

2x, 3y, -4x, 3

c)

-2x + 3y + 3

d)

3

112.

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

113.

Associative Property of addition means...

a)

When the associates change, the sum stays the same.

b)

When the grouping of terms changes, the sum stays the same.

114.

Commutative Property of addition means...

a)

If the order of the terms changes, the sum stays the same.

b)

If the order of the coefficients changes, the product stays the same.

c)

If the order of the variables changes, the product stays the same.

d)

If the order of the math changes, the quotient stays the same.

115.

Which mathematical property shown here proves that these two expressions are equivalent?
6(v+5v) = 6v+30v

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property

d)

Associative Property of addition

116.

Which mathematical property shown here proves that these two expressions are equivalent?
6(v+5v) = 6v+30v

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property

d)

Associative Property of addition

117.

Which property of operations was used to show these expressions are equivalent?
17y+4+12y= 4+12y+17y

a)

commutative property of multiplication

b)

commutative property of addition

c)

associative property of addition

118.

Which mathematical property shown here proves that these two expressions are equivalent?
6(v+5v) = 6v+30v

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property

d)

Associative Property of addition

119.

Which property of operations was used to show these expressions are equivalent?
17y+4+12y= 4+12y+17y

a)

commutative property of multiplication

b)

commutative property of addition

c)

associative property of addition

120.

-5(a - 6) + 2a

a)

-7a + 30

b)

-7a - 30

c)

-3a + 30

d)

-3a + 30

121.

(10x + 2) - (8x - 4)

a)

2x - 2

b)

2x + 6

c)

18x + 6

d)

18x - 2

122.

Simplify (5x + 3) - (2x - 5)

a)

3x + 8

b)

3x - 2

c)

7x + 8

d)

7x - 2

123.

(5x - 6) - (x + 2)

a)

4x - 8

b)

4x - 4

c)

4x + 4

Combining Like Terms

Total questions: 123

Worksheet time: 9hrs 6mins

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