Evaluating Expressions

Evaluating Expressions

End-of-Year Review

Recall the Order of Operations

a.k.a. PEMDAS

Multiple Choice

In the order of operations, which one would come first?

• Exponents

• Addition

• Multiplication

Multiple Choice

What operation would you do first in the following expression?

3 + 4 x 6 - 4

• addition

• multiplication

• subtraction

• exponents

Multiple Choice

Which operation would you do first in the following expression?

10 - 4 ÷ 1 x 5

• Subtraction

• Division

• Multiplication

• Addition

Let's start evaluating some expressions!

• The next several slides contain numeric expressions.

• Remember: to evaluate a numeric expression, use the order of operations to simplify into a single number.

Multiple Choice

Evaluate the expression.

 $6^2-4\div2$  

• 4

• 34

• 16

• 10

Multiple Choice

Evaluate the expression.

 $\left(8-5\right)\cdot12+3^2$  

• 54

• 42

• 63

• 45

Multiple Choice

Which student correctly used the order of operations while solving this problem?

Now let's look at algebraic expressions!

• The next several slides contain algebraic expressions.

• Remember: to evaluate an algebraic expression, start by substituting in the value of the variable. Then follow the order of operations to simplify into a single number.

Multiple Choice

Evaluate $a+6+a$  when a = 7.

• 13

• 20

• 27

• 8

Multiple Choice

Evaluate $b^2+4$ when b = 3. 

• 10

• 49

• 13

• 5

Multiple Choice

Evaluate $2\left(a-5\right)+2$ when a = 15 

• 22

• 42

• 24

• 40

Multiple Choice

Evaluate $-2x$ when x = 10. 

• -5

• 20

• 8

• -20

Some algebraic expressions have more than one variable!

• In this case, substitute in all variable values at the beginning of the problem.

Multiple Choice

Evaluate $a-5-b$ when a = 4 and b = 10. 

• 1

• -9

• -11

• 9

Multiple Choice

Evaluate $\frac{16+2x}{y+1}$ when x = -2 and y = -4 

• -4

• 5

• 2

• -6