Finding Equivalent Expressions Using Properties of Operations

Which of the following is an example of the Distributive Property? 

• 5p x 0 = 0

• (n + m) + p = n + (m + p)

• 4(2a + 7) = 8a + 28

• 6 + -6 = 0

4a + 3b - a + 5 + 1

• 5a + 9b

• 3a + 3b + 3

• 3a + 3b + 6

• 5a - 3b + 6

8( 6x - 4)

• 16x

• 48x - 4

• 14x - 12

• 48x - 32

5m³ + 4m² + 3m + m³ - 4

• 6m³ + 4m² + 3m - 4

• 5m³ + 8m² 3m - 4

• 9m³ + 4m - 4

• m³ + 7m²  - 4

3( 5a + b - 4) + 2( a + 3b + 7)

• 18a + 9b + 9

• 10a + 6b + 19

• 17a + 9b + 2

• 11a + 8b + 26

1/4 (12g + 8) - 2g

• g + 8

• 3g + 8

• 5g + 2

• g + 2

Which is equivalent to 6x - 30? 

• x ( 6 - 5)

• 6( x - 30)

• 5( 6x - 6)

• 6( x - 5)

Which is equivalent to 8 ( 16 + 12)

• (8 x 16) + 12

• (8 x 16 ) + (8 x 12)

• (8 x 16) - (8 x 12)

• (8 x 16) - 12

Which of the following is an example of Commutative Property?

• x + -x = 0

• 5x + 0 = 5x

• 3 + x = x + 3

• 5(2x - 4) = 10x - 20

Which of the following is an example of Multiplicative Identity Property?

• 5m + 0 = 5m

• 5m x 1 = 5m 

• 5(m + 1) = 5m + 5

• 5 + -5 = 0