Evaluating Expressions

Evaluating Expressions

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Multiple Choice

Evaluate the expression:

$$6^2-4\div2$$  

• 4

• 34

• 16

• 10

Multiple Select

In the order of operations, which one comes first?

• Exponents

• Addition

• Multiplication

Open Ended

What is the full order of operations?

Here is the order of operations

What does left to right mean on M/D and A/S?

Let's dive in and start evaluating some expressions!

The next several slides are numeric expressions. Remember: to evaluate a numeric expression you use the order of operations to simplify it to a single value.

Multiple Choice

Evaluate the expression.

$$6\cdot2^2+3$$  

• 42

• 27

• 67

• 142

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?

Let's take a look at algebraic expressions now!

The next slides are algebraic expressions. To evaluate an algebraic expression, start by substituting in the value of the variable. Then follow the order of operations to simplify to a single number.

x + 41 when x =6

Replace the x with the value given (6 in this case)

6 + 41

Use Order of Operations to solve the expression.

47

​Example:

Some algebraic expressions have more than one variable!

Just substitute in both 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

Open Ended

If you were to be given a test on evaluating expressions right now, what do you think your score be? Why?