AnswersGA-8th Grade MathematicsModeling Real-World Multistep Equations

Modeling Real-World Multistep Equations Answers

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1
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3rd integer: n +

Answer:

2

2
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What will finding x – 3 determine?✔ widthlengthperimeter

A
✔ width
B
length
C
perimeter
3

scenario’s equation: 5l + 2l + 2(l + 10)5l – 2l + 2(l + 10)5(l + 10) = 2(l + 10)✔ 5l = 2l + 2(l + 10)

A
5l + 2l + 2(l + 10)
B
5l – 2l + 2(l + 10)
C
5(l + 10) = 2(l + 10)
D
✔ 5l = 2l + 2(l + 10)
4

The sum of three consecutive integers is 9. What is the equation that represents the scenario?

A
n + (n + 1) + (n + 2) = 9
B
n – (n + 1) – (n + 2) = 9
C
n + (n – 1) + (n – 2) = 9
D
n = 9
5

Question text not available

Answers:
Selection 1:2l + 2(l + 10)
Selection 2:5l = 2l + 2(l + 10)
6

What does the variable x represent in the equation?width✔ lengthperimeter

Answers:
Selection 1:length
Selection 2:width
7

A regular pentagon and a rectangle have the same perimeter. The width of the rectangle is 10 more than its length. The length of the rectangle and the side of the pentagon are equal. What can be concluded about what is needed to write an equation? Check all that apply.

A
If we use the variable l for length, then the width is l + 10.
B
If we use the variable w for width, then the length is w + 10.
C
A key phrase is “same perimeter.”
D
A key word is “equal” when referring to the length of the two shapes.
E
A key word is side.
8

pentagon’s perimeter: l✔ 5l5(l + 1)5l + 10

Answers:
Selection 1:5l
Selection 2:2l + 2(l + 10)
Selection 3:5l = 2l + 2(l + 10)
9

What is the translation of this scenario?

A
cost of pretzels = cost of mixed nuts
B
cost of pretzels – cost of mixed nuts = 57
C
cost of mixed nuts + cost of pretzels = 57
D
57 + cost of mixed nuts = cost of pretzels
10

Which equation represents the scenario?4n = 8(n - 1.50)8(n - 1.50) - 4n = 57✔ 8(n - 1.50) + 4n = 5757+ 4n = (n - 1.50)

A
4n = 8(n - 1.50)
B
8(n - 1.50) - 4n = 57
C
✔ 8(n - 1.50) + 4n = 57
D
57+ 4n = (n - 1.50)
11

What can be concluded about the equation?

A
It shows that the total price will never be equal because the bakeries’ starting costs are different.
B
It gives the number of the kinds of berries needed for the cost to be the same at both bakeries.
C
It gives the total price for both bakeries with b kinds of berries.
D
It represents the bakery with the highest total cost.
12

Is Josette’s equation correct? If not, what was her mistake.

A
Her equation is correct.
B
The variable should have been the number of nickels.
C
Instead of finding the sum, she needed to write an equation to find thedifference.
D
The number of quarters was translated incorrectly and should be p – 7.
13

rectangle’s perimeter: l + 10l + l + 10 2l + 2l + 10 ✔ 2l + 2(l + 10)

A
l + 10
B
l + l + 10
C
2l + 2l + 10
D
✔ 2l + 2(l + 10)

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