Equivalent Expressions

What's the Property of Operation?

100

3x + 8

8 + 3x

Commutative Property

200

3x - 9

3(x - 3)

Distributive Property

300

2x + (3x + 8)

(2x + 3x) + 8

Associative Property

400

4x

x ⋅ 4

Commutative Property

500

3(4y)

(3 ⋅ 4)y

Associative Property

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)

Create an Equivalent Expression

100

Use the Commutative Property to create an expression equivalent to:

3x + 8

8 + 3x

200

Use the Distributive Property to make an equivalent expression to:

3(x - 2)

3x - 6

300

Use the Associative Property to create an expression equivalent to:

2 + (3 + y)

(2 + 3) + y

400

Use the Distributive Property to create an expression equivalent to:

6z + 3

3(2z + 1)

500

Use the Commutative Property to create an expression equivalent to:

3(x - 3)

(x - 3) ⋅ 3