Evaluating Numerical Expressions
Presentation
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Heather Bever
Used 1+ times
FREE Resource
27 Slides • 25 Questions
1
2
3
4
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
5
Fill in the Blanks
Fill in the blank: A numerical expression is a combination of numbers and at least one
6
P-E-MD-AS
7
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
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9
Open Ended
Explain why the order of operations is important when evaluating the expression 12 + 3 × 4.
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11
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
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13
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
14
Multiple Choice
What is the value of the numerical expression 100 - 3^2 × (6 + 4) + 2?
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22
2
0
15
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
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Open Ended
Explain why subtraction was performed before addition when the expression showed 100 - 90 + 2.
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Fill in the Blanks
Fill in the blank: The value of the expression [23 - (8 + 2^3)] × 2 + 10 is
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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
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Open Ended
Explain the steps involved in evaluating the expression 5 + (8^2 ÷ 2) × 2.
26
Multiple Choice
What is the value of the expression 5 + (8^2 ÷ 2) × 2?
325
64
42
256
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28
Fill in the Blanks
Evaluate 8.2 × (2^4 – 3) + 8. The answer is
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Math Response
Evaluate the following expression.
[24 + 4(45) -3] ÷ 10
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Math Response
What is the value of the following expression?
17−(42−6)
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Open Ended
How else can you represent the part of the expression written as (4 × 4)?
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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.
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Fill in the Blanks
The total cost of Paula's shopping is $
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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)
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Answer at your seat.
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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
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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×(2.85−2.25)
2.85×(7−2.25)
(2.85×7)−2.25
(2.85×7)÷2.25
48
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
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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
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Open Ended
Reflecting on today's lesson about numerical expressions, what is one concept you found most interesting or challenging?
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