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Worksheets

Combining like terms

Total questions: 35

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

In the following expression, how many terms are there?

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

2.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

3.

In the following expression, how many terms are there?

5x³ - 7x + 11-3y

a)

1

b)

2

c)

3

d)

4

4.

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

5.

What are the like terms in the following expression?

7x + 8 - 6x2 + 2x

a)

7 and 2

b)

7x, 8, 6x2, 2x

c)

7x and 2x

d)

7x, 6x2, 2x

6.

Simplify.

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

7.

Simplify.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

8.

Simplify.

4x2 + 3x + 11 - 2x

a)

4x2 + x + 11

b)

11x + 11

c)

16x2 - 5x + 11

d)

10x2

9.

Simplify.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

10.

Simplify by combining like terms: 5a + 2b - 3a

a)

8a + 2b

b)

2a + 2b

c)

8ab

d)

4ab + 4

11.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
12.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
13.
A constant term has ______.
a)
no exponents
b)
no variables
c)
no numbers
d)
no letters
14.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
15.
How many terms does this expression have?
3x + 5y - 17 - 2y + x
a)
3
b)
-17
c)
5
d)
1
16.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
17.
What is the coefficient here?
-27m + 5
a)
27
b)
-27
c)
5
d)
m
18.
What is the coefficient here?
17u + 8
a)
17
b)
8
c)
17u
d)
-8
19.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v5

c)

v + 5

20.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
21.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
22.
3x2-x+2-5x2+8x-5
a)
8x2+9x+7
b)
-2x2+7x-3
c)
2x2+7x-3
d)
5x2-3
23.

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

24.

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

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

25.

Simplify: 8x2 + 5x + 2y + x

a)

14x + 2y

b)

13x2+ 2y + x

c)

8x2 + 6x + 2y

d)

8x2 + 7xy + x

26.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
27.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
28.
n +10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n + 7
29.

Simplify and combine like terms: 5p-3q+2-4p+5+4q

a)

p+q+7

b)

-p-q-7

c)

p-q+7

d)

-p+q+7

30.

-6k + 7k=

(a)  

31.

3x+6x+9y+4y2z7z=3x+6x+9y+4y-2z-7z=  

a)

9x+14y+9z

b)

9x-14y-9z

c)

9x+13y-9z

d)

9x-13y+9z

32.

Group like terms together and simplify the expression

a)

8y+5

b)

3y+3

c)

7y+5

d)

7y+4

33.

Which of the following term can combine with 3Y

(Like term as 3Y)

a)

4X

b)

- 7Y2

c)

5Y

d)

9XY

34.

Which one is a like term of 3x

a)

6y2

b)

13

c)

5x

d)

s

35.

Pick the like term for -4y2

a)

7xy

b)

-7c

c)

9a4

d)

6y2