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

Write 2 equal expressions

6( x + 10)

6x + 60

2(3x +30)

3 (2x + 20) 

200

Use the Distributive Property to make an equivalent expression to:

3(x - 2)

3x - 6

300

Write an equivalent expression (simplify)

2( 4x + 8) + (5x - 4)

13x  +12

400

Factor (using the GCF) to create an expression equivalent to:

20b - 12

4( 5b - 3)

500

Create an equivalent expression (Simplify)

3( 3x - 4) + 12x - 5

21x -17