Equivalent Expressions

Distributive Property

100

3(x+5)

3x+15

200

5(6-m)

30-5m

300

-3(y+4m)

-3y+-12m

400

1/2(4y+10)

2y+5

500

-12(-5x+4y)

60x+-48y

Which Expressions are Equivalent?

100

2x + 7

2(x + 7)

2x + 14

2(x + 7) and 2x + 14

200

4x

2x + 2

2(x + 1)

2x + 2 and 2(x + 1)

300

4z + 16

4(z + 4)

4(z + 16)

4z + 16 and 4(z + 4)

400

2(3a + 6)

6(a + 2)

6a + 12

2(3a + 6) and 6(a + 2) and 6a + 12

500

3y - 6

6 - 3y

3(y - 2)

3y - 6 and 3(y - 2)

Simplify by Combining Like Terms

100

3x + 2x + 5x

10x

200

20x + 28 + 8x

28x + 28

300

45x + 47 + 42x

87x + 47

400

10n + 5 - 5n + 3 + 5n

10n + 8

500

3y - 6 + 2y - 5

5y - 11

Which is NOT Equivalent?

100

4(3y + 6)

12(y + 2)

30y

3y + 14 + 9y + 10

30y

200

10(2z - 1)

10 - 20z

20z - 10

2(10z - 5)

10 - 20z

300

4z + 11

4(z + 3)

12 + 4z

9 + 3z + 3 + z

4z + 11

400

11 + 4y

4y + 11

2(2y + 6)

3y + 4 + y + 7

2(2y + 6)

500

15x - 13

5(3x - 3)

15x - 10 - 3

15 ⋅ x - 13

5(3x - 3)

Factor

100

2y+16

2(y+8)

200

3x-6

3(x-6)

300

-12m+8y

4(-3m+2y) 

OR

2(-6m+4y)

400

50x-15b

5(10x-3b)

500

-24t-72y

-8(3t-9y)