Free Printable Properties of Operations and Combining Like Terms

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Properties of Operations and Combining Like Terms

Total questions: 23

Worksheet time: 42mins

Name

Class

Date

How can 5(3 +2) be expressed using the distributive property?

5(3) x 5(2)

(5 x 3) x (5 x 2)

5(3) + 5(2)

(5 + 3) x (5+2)

Which of the following expressions is equivalent to:

3(2c - 5)

6c - 15

6c + 15

-6c - 15

Simplify:

5(a + 6)

5a + 6

a + 30

5a + 30

5a - 30

Which of the following expressions is equivalent to:

4(x - 6)

24 - 4x

4x - 6

x - 24

4x - 24

Which of the following expressions is equivalent to:

2(4 + 9w)

8+9w

2+9

8+18w

2+9w

2 (9 + 2g)

(a)

Which expression is equivalent to 7(3a + 4b)?

21a + 28b

10a + 11b

21a + 4b

10a + 28b

Find an equivalent expression for the given expression: 36x + 24

4(9x + 7)

4(9x + 8)

2(18x + 12)

12(3x + 3)

(4 x 7) x 6 = 4 x (7 x 6) This is an example of the (a) Property

10.

9 + 12 = 12 + 9 This is an example of the (a) property

11.

$2\cdot\left(45+9\right)=\left(2\cdot45\right)+\left(2\cdot9\right)$ This is an example of the (a) property

12.

How many terms are in this expression:

2x + 5 - x + 6x + 1

3 terms

4 terms

5 terms

6 terms

13.

3x + 2x + 6y + 3
Which are like terms?

6y and 3

2x and 3

3x and 3

3x and 2x

14.

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

The same number

The same variable

The same variable and exponent

The same exponent

15.

Simplify the following expression:
-7x - 9x

63x²

-16x²

-16x

-15x

16.

Identify the "like terms" in the expression:
2x + 4y - 3x + y - x

2x and 4y and -3x

2x and -3x and x
4y and y

they are all like terms

there are no like terms

17.

Are 7a and 4a like terms?

Yes

18.

Are x² and x like terms?

Yes

19.

Select the term below that is a like term with xy.

7xy

3x²y²

20.

x + 1 + 3x

3x + 1

4x + 1

3x + 4

5x + 3

21.

4x - 3 + 2 - 2x

6x + 5

2x + 1

2x - 1

6x - 1

22.

Simplify the expression: 2x + 1 + 7x

10x

9x + 1

9 + 1x

23.

What terms can you combine in the equation?

$-2\ +6x+9=49$

-2 and 9

6x and 9

-2 and 49

9 and 49

Reset

Properties of Operations and Combining Like Terms

Total questions: 23

Worksheet time: 42mins

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