6th Grade ~ Equivalent Expressions

Distributive Property

100

Use the Distributive Property

3(x + y)

3x + 3y

200

Use the Distributive Property

5(a - z)

5a - 5z

300

Use the Distributive Property

7(3x + 2)

21x + 14

400

Use the Distributive Property

8(2x + 3y)

16x + 24y

500

Use the Distributive Property

9(2b + 11c)

18b + 99c

Combining Like Terms

100

Combing Like Terms

x + 2 + x + 7

2x + 9

200

Combing Like Terms

13 + 4a - 13 + 3a

7a

300

Combing Like Terms

3p + 7c + 3c + 7p

10c + 10p

400

Combing Like Terms

8x + 2x + 5 + 10 -10x 

15

500

Combing Like Terms

2y + 3c + 5 + y + 3 - c

3y + 2c + 8

Factor Expressions

100

Factor this expression using the GCF.

9m + 21

3 (3m + 7)

200

Factor this expression using the GCF. 

16 + 4x 

4(x+4)

300

Factor this expression using the GCF. 

36m + 30

6(6m+5)

400

Factor this expression using the GCF. 

80y + 56

8(10y+7)

500

Factor this expression using the GCF. 

28x + 56y 

28(x+2y)

Are They Equivalent?

100

Are these expressions equivalent?

2x - 2y & 2 (x - y)

Yes! 🤠

200

Are these expressions equivalent?

21x - 7y & 6(3x - y)

No! 😭

300

Are these expressions equivalent?

4(2a + 3v) & 8a + 12v

Yes!🤠

400

Are these expressions equivalent?

8(3x + c) -1 and 8c + 24x - 1

Yes!😭

500

Are these expressions equivalent?

3(2x + 11) and 2(3x + 15)

No! 😭💀

Vocabulary

100

What is the variable used in the following equation? 28 = 2πr

nr

200

Name one variable term in the following expression? 12 - 4x - 9π

What is -4x or -9n

300

Which two terms are like terms in the following expression? -9π + 2x - 5x

What is 2x and -5x

400

How many terms are in the following expression? -9π + 2x + 5x - π

4 

500

Name the constants, coefficients, terms, and variables in the below expression. 

7x + 8y + 9 - 4x + 17x + 10

Constant- 9,10

Coefficient- 7, 8, -4, 17 

Terms- 7x. 8y, 9, -4x, 17x, 10

Variables- x, y