7.5 - Properties of Operations

Which expression is equivalent to (4 + 5) + 6 ?

• 4 + (5 + 6)

• = 4 + (5 x 6)

• = 6 + (5 + 6)

• = 5 + (5 + 4)

What value makes the expression below true?

5 x 6 x 8 = 6 x _ x 5

Mathematical Equivalence

ON

Which expression is equivalent to the one below?

4(5 + 6) =

• 4(5) + 4(6)

• 5(5) x 4(6)

• 4(5) x 4(6)

• 4(6) + 5(6)

What value makes the statement below true?

_ _^x 12 =12

Mathematical Equivalence

ON

Which expression makes the statement below true?

(6 _^x 2) _^x 3 =

• 6 _^x (3 _^x 3)

• 6 _^x (2 _^x 3)

• 6 _⁺ (2 _⁺ 3)

• 6 _^- (2 _^x 3)

What value makes the statement below true?

9 + _ = 9

Mathematical Equivalence

ON

Two expressions are shown below. The second expression is not complete.

Expression 1: 12 (2x - 3)

Expression 2: 24x - _

What number belongs in the blank to make Expression 2 equivalent to Expression 1?

Which shows the identity property of multiplication?

• 5 x 1 = 1

• 1 x 6 = 6

• 8 x 0 = 0

• 8 x 2 = 16

Which is an example of distributive property?

• 3(5 + 2) = 15 + 6
• 5 x 1/5 = 1
• 14(3) = 3(14)
• 15 + (-15) = 0