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Worksheets

Combine Like Terms

Total questions: 52

Worksheet time: 47mins

Name
Class
Date
1.

9x + 8x

a)

72x

b)

1x

c)

17x

d)

-1x

2.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

3.

4x - 3 + 2 - 2x

a)

6x + 5

b)

2x + 1

c)

2x - 1

d)

6x - 1

4.

-9w + 7 - 4w - 16

a)

-13w -9

b)

5w -23

c)

-13w - 23

d)

-5w - 9

5.
In the expression  x - 53 - 4x - w + 6x + 8  , combine all like terms & write the simplified expression.
a)
2x - w - 45
b)
3x - w - 45
c)
-41xw
d)
-41
6.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
7.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
8.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

9.

What terms can you combine in this equation?

4x+5+2x=15-4x+5+2x=15  

a)

5 and 15

b)

-4x and 2x

c)

-4x and 5

d)

2x and 5

10.

What terms can you combine in the equation?

2 +6x+9=49-2\ +6x+9=49  

a)

-2 and 9

b)

6x and 9

c)

-2 and 49

d)

9 and 49

11.

X2 can be combined with X

a)

True

b)

False

12.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
13.

What is a constant?

a)

A term with no variables.

b)

A number.

c)

A term with numbers and variables.

d)

A letter.

14.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
15.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
16.

What are like terms?

a)

Terms with different variables

b)

Terms with the same variables

c)

Terms with no variables

17.

Combine the like terms in the expression: 5b+9+3b

a)

There are no like terms

b)

8b+9

c)

2b+9

18.

Combine the like terms in the expression: 12x+2+3x

a)

9x+2

b)

15x+2

c)

There are no like terms

d)

13x

19.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
20.

Simplify the Expression:


3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

21.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
22.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
23.
Simplify the expression: 
3t + 7y + t + 3y
a)
3t + 10y
b)
4t + 10y
c)
4t + 4y
24.
5a + 2a + 2a 
a)
9a
b)
8a
c)
7a
25.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

26.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
27.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
28.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
29.

A number by itself with no variable attached is called a  _____.

a)
coefficient
b)
constant
c)
variable
d)
term
30.

A constant is a term without a ______

a)

Letter

b)

Number

31.

Like terms have to have the same

a)

letter and exponent (little number)

b)

Number

32.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

33.

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

34.
Are 3x and 3 like terms?
a)
Yes
b)
No
35.
Are x + y like terms?
a)
Yes
b)
No
36.
Are 7a and 4a like terms?
a)
Yes
b)
No
37.

Combine the like terms: 2x + 3x + 5 + 2

a)

6x + 7

b)

5x + 7

c)

6x + 10

d)

5x + 10

38.

Are the following terms 'like' or 'unlike'....


3a


-7a

a)

Like

b)

Unlike

39.

Are the following terms 'like' or 'unlike'....


4a2


-3a2

a)

Like

b)

Unlike

40.

Are the following terms 'like' or 'unlike'....


6b3


2b3

a)

Like

b)

Unlike

41.

Are the following terms 'like' or 'unlike'....


3


16

a)

Like

b)

Unlike

42.

Simplify each expression by combining like terms.

x + 2 - x

a)

2

b)

3x

c)

2x

43.

Simplify each expression by combining like terms.

2x + 5 + x - 4

a)

3x + 1

b)

3x + 9

c)

3x-1

44.

Simplify each expression by combining like terms.

-5 + 8x - 6x

a)

2x - 5

b)

-2x - 5

c)

14x - 5

45.

Simplify each expression by combining like terms.

5 + 2x - 4x - 5

a)

-2x

b)

-2x + 10

c)

-2x - 10

46.

Simplify each expression by combining like terms.

x - 3x - 4x

a)

-6x

b)

6x

c)

8x

d)

-8x

47.

In math class, the word variable refers to:

a)

a term that contains a letter

b)

a term that contains no letters

c)

a negative integer

d)

a positive integer

48.

In math class, the word constant refers to:

a)

a term that contains a letter

b)

a term that contains no letters

c)

a negative integer

d)

a positive integer

49.

In math class, the word combining refers to:

a)

multiplication and division

b)

addition and subtraction

c)

the lastest edition of a book

d)

none of these

50.

Match the following

a)

x

1.

variable

b)

-2x

2.

term

c)

-2x+3

3.

expression

d)

3

4.

constant

51.

What is the coefficient of

xx  

a)

an implied 1

b)

0

c)

x

d)

none of these

52.

Simplify the expression completely.

t+2+6tt+2+6t  

a)

9t9t  

b)

12t12t  

c)

7t+27t+2  

d)

18t18t