Order of Operations with Variables

The rules for evaluating an expression involving more than one operation

• evaluate

• order of operations

• expression

• variable

Evaluate when a = 15:
2(a - 5) + 2

• 22

• 27

• 14

• 7

Evaluate the expression when x = 8:  
7(6 + 3 − x)

• 72

• 56

• 21

• 7

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

• 22

• 40

• 142

• -86

When evaluating Algebraic Expressions you must follow the ___________ ____ _____________.

4 + (y + 3) + y² for y = 5

• 42

• 37

2x + 5(y - 1) when x=8 and y=5

• 20

• 31

• 36

• -4

2x + 3 + x²; for x = 4

• 17

• 27

• 19

• 25

Evaluate 3x + 8   if x = 2

• 13

• 14

• 15

• 16

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