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Worksheets

Combining (Positive) Like Terms

Total questions: 17

Worksheet time: 34mins

Name
Class
Date
1.

If you want to combine terms, do the variables have to match?


Ex: 5g + 6g = 11g

a)

YES, the variables must match exactly

b)

NO, the variables don't matter

2.

Combine terms with the same variable only!


3r + 5v + 2s + 6b

a)

You can't! None of the variables are the same.

b)

16rvsb

3.

Combine like terms!


t + t + t + t + b + b + b + b

a)

4 + t + 4 + b

b)

t4 + b4

c)

4t + 4b

d)

(4t)(4b)

4.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
5.

Simplify by combining like terms:

5a + 2b + 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

6.

Simplify by combining like terms:

4x2 + 3x + 11 + 2x

a)

4x2 + 5x + 11

b)

11x + 11

c)

16x2 - 5x + 11

d)

10x2

7.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
8.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
9.

Rewrite the expression in correct form by combining like terms.

2x2 + 10x + 5x2 + 25x

a)

3x2 + 3xy + 6y

b)

6y2 + 2xy + 2x

c)

7x2 + 35x

d)

3x2 + 6xy + y

10.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
11.
A constant term has ______.
a)
no exponents
b)
no variables
c)
no numbers
d)
no letters
12.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
13.

Is the 6b in this expression positive or negative?


7b - 6b + 2b - 3b

a)

Negative

b)

Positive

14.

When I SUBTRACT two integers, I can use a strategy called...

a)

Keep, Change, Change

b)

Multiply by the reciprocal

c)

The Church Method

d)

GEMDAS

15.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

16.

When adding a NEGATIVE number and NEGATIVE number, your result will be...

a)

Positive

b)

Negative

c)

The sign of the larger absolute value

d)

The sign of the smaller absolute value

17.

When multiplying or dividing a NEGATIVE number by another NEGATIVE number, your result will be...

a)

Negative

b)

Positive

c)

The sign of the larger looking number

d)

The sign of the smaller looking number