7th Grade Equivalent Expressions (decimals/fractions included)

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

-1/4 (16x - 64)

-4x + 16

Combining Like Terms

100

Combing Like Terms

x + 2 + x + 7

2x + 9

200

Combing Like Terms

7a - 4b - 2a +9b

5a + 5b

300

Combing Like Terms

1/2 x + 3/4 y + 2/3 x - 1/4 y

7/6 x + 1/2 y

400

Combing Like Terms

8x + 2x + 5 + 10 -10x 

15

500

Combing Like Terms

12a - 7b +5c - 4a + 10b - 9c - 3b

8a - 4c

Distribute & Combine

100

Distribute & Combine

3(x + 2) + 2x

5x + 6

200

Distribute & Combine

2(3 + 3x) – 2x

4x+6

300

Distribute & Combine

4(2x-3) - 5(x+2)

3x - 22 

400

Distribute & Combine

2(4x - 5y + 1) - 3(2x - y - 4)

2x - 7t + 14

500

Distribute & Combine

2/3 (6x - 9) + 1/2 (4x + 10)

6x - 1 

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! 😭💀