Finding Equivalent Expressions Using Properties of Operations

The below expressions are equivalent:

12 - (y • 2) = 12 - (2 • y)

• True

• False

The below expressions are equivalent:

4 + (3 • y) = (4 + 3) • y

• True

• False

Which of the following are equivalent expressions?

Which expression is equivalent to the one in the image? ​ ​ ​ ​ (a)  

• (9 ∙ 3 ÷ 4) + y

• 9 + y ∙ (3 ÷ 4)

•  (y + 9) (3 ÷ 4)

•  y + 3 ÷ 4 + 9

Tags

6.7.D

Which expression is

equivalent to 4(x + 6)?

• 4x + 24

• 4 + x + 6

• 4x + 6

• 4 + x + 4 + 6

Tags

6.7.D

Which expression is

equivalent to 8(4x + 7) ?

• 32x + 7

• 88x

• 12x + 56

• 32x + 56

Tags

6.7.D

Which expression is equivalent to (6 ∙ p) + 3? ​ (a)  

• 3 + (p ∙ 6)

• 3 - (6 ∙ p)

• 6 + 3 ∙ p

• 6 ∙ (p + 3)

Tags

6.7.D

Whi​ ch expression is equivalent to​ 30 ÷ (3 + x)​ ?​ ​

• 30 ÷ (x + 3)

• (3 + x)  ÷ 30

• (3 ÷ 30) + x

• 30 ÷ 3 + 30 ÷ x

Tags

6.7.D

Which expression is equivalent to 5(y + 2) + 4?​ ​ (a)  

• 5 + y + 5 + 2  + 4

• 5 ∙ y ∙ 5 ∙ 2 + 4

• 5 ∙ y ∙ 4 + 5 ∙ 2 ∙ 4

• 5 ∙ y + 5 ∙ 2 + 4

Tags

6.7.D