AnswersGA-8th Grade MathematicsModeling Real-World Multistep Equations

Modeling Real-World Multistep Equations Answers

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What is the equation that represents the scenario?

A
x · x · x = 75
B
x + (x · 2) + (x · 4) = 75
C
x + (x + 2) + (x + 4) = 75
D
x (x + 2) · (x + 4) = 75
2
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Answers:
Selection 1:j + 35
Selection 2:(j – 63) + j + (j + 35) = 256
3

h = 74✔ xx + 33x

Answers:
Selection 1:x
Selection 2:3x
4

b = 74xx + 3✔ 3x

A
74
B
x
C
x + 3
D
✔ 3x
5

What is the equation for the area of the parallelogram?

A
3x + x = 74
B
x + 3x + 74
C
3x • 74 = x
D
x • 3x = 74
6

The variable should be the length of the square.The areas of the square and parallelogram are equal.The area of a square is 4(h – 2).The area of a parallelogram is 2h + h.

A
The variable should be the length of the square.
B
The areas of the square and parallelogram are equal.
C
The area of a square is 4(h – 2).
D
The area of a parallelogram is 2h + h.
7

Which equation represents this scenario?(b + 3.50) + b = 45.506b = 45.50 + 3(b + 3.50)3b + 3.50 + 6b = 45.503(b + 3.50) + 6(b) = 45.50

A
(b + 3.50) + b = 45.50
B
6b = 45.50 + 3(b + 3.50)
C
3b + 3.50 + 6b = 45.50
D
3(b + 3.50) + 6(b) = 45.50
8

A car is traveling at a rate of 50 miles per hour, while a motorcycle is traveling at 70 miles per hour. The car takes 4 hours longer to arrive at the destination. The equation representing the scenario is 50(x + 4) = 70x. What can be concluded about the equation? Check all that apply.

A
The scenario is translated to car’s travel distance = motorcycle’s travel distance.
B
The expression 70x represents the hours the motorcycle traveled.
C
The expression (x + 4) represents the number of hours traveled by the car.
D
The variable x represents the total hours driven by the motorcycle.
E
The car’s travel distance is represented as 50(x + 4).
9

Which expression represents the Robins’ points?Robins = 3535jh + 35✔ j + 35

Answers:
Selection 1:j + 35
Selection 2:(j – 63) + j + (j + 35) = 256
10

Which equation represents the scenario?(63 – j) + (j + 35) = 256(r – 63) + (r + j) + 35j = 256✔ (j – 63) + j + (j + 35) = 256(63 – r) + j + 35 = 256

A
(63 – j) + (j + 35) = 256
B
(r – 63) + (r + j) + 35j = 256
C
✔ (j – 63) + j + (j + 35) = 256
D
(63 – r) + j + 35 = 256

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