Order of Operations Expressions Distributive Property

PEMDAS – tells which operation is performed first so that everyone finds the same value for an expression

• algebraic expression

• perfect square

• term

• order of operations

Solve this equations using Order of Operations
15 x 19 + 18 ÷ 6 = 

• 250

• 199

• 400

• 288

(4x8)-(9+7)

• 16

• 25

• 41

• 32

What are the steps to solve the following expression?
50 − 16 ÷ 2 x (12 + 4)

• parentheses
  multiplication
  subtraction
  division

• parentheses
  multiplication
  division
  subtraction

• parentheses
  division
  multiplication
  subtraction

• parentheses
  subtraction
  multiplication
  division

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30