Evaluating Numerical Expressions

Multiple Choice

Numerical expressions often involve operations such as addition, subtraction, multiplication, and division. Which of the following is NOT an example of a numerical expression?

• 3 + 5

• 7 × 2

• x + 4

• 12 ÷ 3

Fill in the Blanks

Fill in the blank: A numerical expression is a combination of numbers and at least one

, such as 4^2 + 7 ÷ (3 – 1).

​P-E-MD-AS

Multiple Choice

Which of the following is the correct order of operations to evaluate a numerical expression?

• Multiply and divide first, then add and subtract, then evaluate powers, then simplify grouping symbols

• Simplify grouping symbols, evaluate powers, multiply and divide left to right, add and subtract left to right

• Add and subtract first, then multiply and divide, then evaluate powers, then simplify grouping symbols

• Evaluate powers, then simplify grouping symbols, then multiply and divide, then add and subtract

Open Ended

Explain why the order of operations is important when evaluating the expression 12 + 3 × 4.

Multiple Choice

Which steps are involved in evaluating the expression 6^2 – 12 ÷ 3 + (14 – 9) × 2?

• Simplify grouping symbols, evaluate exponents, multiply and divide left to right, add and subtract left to right

• Evaluate exponents, add and subtract left to right, multiply and divide left to right, simplify grouping symbols

• Multiply and divide left to right, add and subtract left to right, evaluate exponents, simplify grouping symbols

• Add and subtract left to right, multiply and divide left to right, evaluate exponents, simplify grouping symbols

Multiple Choice

What does the order of operations tell you to do first in the expression 100 - 3^2 × (6 + 4) + 2?

• Evaluate the parentheses (6 + 4)

• Subtract 3^2 from 100

• Multiply 3^2 by 10

• Add 2 to the result

Multiple Choice

What is the value of the numerical expression 100 - 3^2 × (6 + 4) + 2?

• 12

• 22

• 2

• 0

Multiple Choice

Which of the following steps comes immediately after evaluating the exponent in the expression 100 - 3^2 × (6 + 4) + 2?

• Multiply

• Add

• Subtract

• Simplify parentheses

Open Ended

Explain why subtraction was performed before addition when the expression showed 100 - 90 + 2.

Fill in the Blanks

Fill in the blank: The value of the expression [23 - (8 + 2^3)] × 2 + 10 is

.

Multiple Select

Which of the following are correct steps in evaluating the expression 5 + (8^2 ÷ 2) × 2?

• Evaluate the exponent first

• Multiply before dividing inside the parentheses

• Add before multiplying

• Simplify inside the parentheses first

Open Ended

Explain the steps involved in evaluating the expression 5 + (8^2 ÷ 2) × 2.

Multiple Choice

What is the value of the expression 5 + (8^2 ÷ 2) × 2?

• 325

• 64

• 42

• 256

Fill in the Blanks

Evaluate 8.2 × (2^4 – 3) + 8. The answer is

Math Response

Evaluate the following expression.

[24 + 4(45) -3] ÷ 10

Type answer here

Correct Answer: 20

Deg^°

Rad

Math Response

What is the value of the following expression?

$$17-\left(4^2-6\right)$$

Type answer here

Correct Answer: 7

Deg^°

Rad

Open Ended

How else can you represent the part of the expression written as (4 × 4)?

Open Ended

Write an expression to represent the total cost of 5 lotions, 2 candles, and 4 lip balms. Then find the total cost of the items.

Fill in the Blanks

The total cost of Paula's shopping is $

Multiple Choice

Tickets to a play cost $10.50 for adult members, $19.95 for adult non-members, and $8 for students. Suppose 4 non-members, 2 members, and 8 students are buying tickets for the play. Which expression could be used to find the total cost of the tickets?

• ($19.95 × 4) + ($10.50 × 2) + ($8 × 8)

• ($10.50 × 4) + ($19.95 × 2) + ($8 × 8)

• ($8 × 4) + ($10.50 × 2) + ($19.95 × 8)

• ($19.95 × 2) + ($10.50 × 4) + ($8 × 8)

Answer at your seat.

​Work through together.

Multiple Choice

MaKayla bought air filters at a store.

- She bought 8 air filters.

- Each air filter cost $16.95.

- MaKayla used a coupon for $7.50 off her total cost.

The total cost in dollars that MaKayla paid for these 8 air filters can be represented by this expression.

(8 x 16.95) - 7.50

How much did MaKayla pay for these 8 air filters?

• $80.70

• $143.10

• $128.10

• $75.60

Multiple Choice

Missy bought 7 pairs of socks for $2.85 a pair. She had a coupon for $2.25 off her total purchase.

Which calculation shows the total amount Missy paid for the socks?

• $$7\times\left(2.85-2.25\right)$$

• $$2.85\times\left(7-2.25\right)$$

• $$\left(2.85\times7\right)-2.25$$

• $$\left(2.85\times7\right)\div2.25$$

Multiple Choice

The regular price of a calculator is $12.30. Austin paid 75 cents less than the regular price for the calculator. He also paid $1.48 for a pad of paper. What is the total amount Warren paid for these two items?

• $13.03

• $14.03

• $14.53

• $13.83

​Answer on the Exit ticket paper. Include expression and the answer.

Multiple Choice

Why is it important to understand numerical expressions in everyday life?

• Because they help us solve real-world problems involving numbers

• Because they are only used in mathematics class

• Because they are not useful outside of school

• Because they are easy to memorize

Open Ended

Reflecting on today's lesson about numerical expressions, what is one concept you found most interesting or challenging?