evaluating expressions

Evaluating Expressions

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 Select

In the order of operations, which one comes first?

• Exponents

• Addition

• Multiplication

• radicals

Multiple Choice

Evaluate the expression:

$$6^2-4\div2$$  

• 4

• 34

• 16

• 10

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?

Now let's take a look at algebraic expressions!

The next slides are 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 to a single number. Click HERE for a video tutorial

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

Multiple Choice

Evaluate bc + 5a  
when  a = 3, b = 4, and c = -6

• 9
• 38
• -38
• -9

Multiple Choice

Evaluate: 5m + 9n if m = -7 and n = 4

• 71

• 1

• -1

• -71

Multiple Choice

Evaluate b² + 4
when b = 3

• 10
• 12
• 13
• 11

Multiple Choice

Evaluate if w = -4

-7w² + 2w

• 104

• -64

• -120

• 120

Multiple Choice

Evaluate the expression when
x =5    and   z = 4
z²  - 2x

• 6
• 2
• 17
• 26

Multiple Choice

Evaluate bc + 5a  when  a = 3, b = 4, and c = -6

• 9
• 38
• -38
• -9

Multiple Choice

Evaluate the expression: 2x(3x - y)²
when x= 3 and y = 5. 

• 32
• 16
• 576
• 96

Multiple Choice

Evaluate r³ + 2s²  if r = -3  and s = 4

• 59
• 5
• 37
• 91

Multiple Choice

The length of a rectangle is 20 inches. The width is 10 inches. Use the formula P=2L+ 2W to find the length.

• 80 inch

• 420 inches

• 42 inches

• 60 inches

Fill in the Blank

Evaluate

$$z^2-\left(y+4\right)$$  

when y = 5 and z = 6

Draw

Now that you have practiced, and refreshed your memory. . . . .draw how you are feeling about evaluating expressions :)