Order of Operations/Evaluate Expressions

Order of Operations

What are the Order of Operations?

Rules to follow when simplifying an expression that contains multiple operations.

Multiple Choice

How many operations does the expression

$$3-7\div4\times12$$  contain?

• 1

• 2

• 3

• 4

Why does order matter?

G - Grouping Symbols

Multiple Select

Select any expressions that contain grouping symbols.

• $$2+3-7$$  

• $$5\left(3-1\right)+6$$  

• $$65\times78\times2$$  

• $$\left|3-8\right|+4$$  

• $$4^2$$  

Exponents

Multiplication or Division

• LEFT TO RIGHT AS THEY APPEAR

• In math we read left to right, just like English

Multiple Choice

When simplifying the expression  $$10\div5\times3$$   which operation should you perform first?

• Multiplication

• Division

Addition or Subtraction

• LEFT TO RIGHT AS THEY APPEAR

• In math we read left to right, just like in English

Multiple Choice

When simplifying the expression  $$17-4+3+6$$   which operation should you perform first?

• Addition

• Subtraction

GEMDAS

We must always follow the GEMDAS order when simplifying expressions!

Multiple Select

Which of the steps in GEMDAS requires the left to right rule? Select all that apply.

• Grouping

• Exponents

• Multiply / Divide

• Add / Subtract

Multiple Choice

 Simplify the expression  $$12-4\div2$$  

• 6

• 4

• 10

• 14

Multiple Choice

$$18\div3-2\times2$$  

Simplify the expression

• 12

• 2

• 4

• 8

Multiple Choice

Simplify the expression  $$\left(7-3\right)^2\div4$$  

• 2

• 8

• -2/4

• 4

Evaluate Expressions

Vocabulary

​A variable, like x, is a letter or symbol used to represent an unknown amount.

​

An expression, like x + 2, is a combination of variables, numbers, and at least one operation. ​

Evaluating Expressions Example

Example: x + 1 when x = 2

​

Replace the variable, x, with 2. Your new problem turns into 2 + 1 which equals 3.​

Evaluating Expressions Example

Example: w - 3 when w = 5

​

Replace the variable, w, with 5. Your new problem turns into 5 - 3 which equals 2.

Multiple Choice

In the expression 5 - w

the operation is

• 5

• -

• w

Multiple Choice

In the expression 5 - w

the variable is

• 5

• -

• w

Multiple Choice

In the expression 5 - w

the number is

• 5

• -

• w

Multiple Choice

Evaluate if a=4

4 + a

• 4

• 0

• 8

• 16

Multiple Choice

Evaluate if a=4

a x 7

• 3

• 11

• 2

• 28

Multiple Choice

Evaluate if a=4

a x a - 10

• 2

• 6

• 9

• 5

Multiple Choice

r(r – 9)
r = 11

• 12

• 22

• 44

• 99

Multiple Choice

Evaluate expression x=7, y=15, z=8

9y ÷ (2x+1)

• 9

• 3

• 34

• 15