AnswersSSCR 26 Math Essentials ASolving Real-World Multistep Equations

Solving Real-World Multistep Equations Answers

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1
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Which equation represents this scenario?

A
x + (2x + 20) + (3x – 50) = 15,002
B
x + (2x + 40) + (3x – 50) = 15,002
C
x + 2(20 + x) + 3(50 – x) = 15,002
D
x + 2(x + 20) + 3(x – 50) = 15,002
5

Describe how to find the number of seats on the middle and lower levels of the stadium when solving for the variable only gives the number of seats on the upper level.

Answer:

Solving the equation gives only the number of upperlevel seats, but that value can be used to solve for the other unknown values. To find the number of seats in the middle and upper levels, substitute the value of the variable into the expressions for the number of seats on those levels.

6

The price for the lower level is $5.00 a ticket, plus $32.50 for a discounted parking pass. The middle-level tickets are $20 each, plus $28.75 for a parking pass.The price for the lower level is $32.50 a ticket, plus $5.00 for a discounted parking pass. The middle-level tickets are $28.75 each, plus $20.00 for a parking pass. The price for the lower level is $32.50 a ticket, plus $20.00 for a discounted parking pass. The middle-level tickets are $28.75 each, plus $5.00 for a parking pass. The price for the lower level is $28.75 a ticket, plus $5.00 for a discounted parking pass. The middle-level tickets are $32.50 each, plus $20.00 for a parking pass.

A
The price for the lower level is $5.00 a ticket, plus $32.50 for a discounted parking pass. The middle-level tickets are $20 each, plus $28.75 for a parking pass.
B
The price for the lower level is $32.50 a ticket, plus $5.00 for a discounted parking pass. The middle-level tickets are $28.75 each, plus $20.00 for a parking pass.
C
The price for the lower level is $32.50 a ticket, plus $20.00 for a discounted parking pass. The middle-level tickets are $28.75 each, plus $5.00 for a parking pass.
D
The price for the lower level is $28.75 a ticket, plus $5.00 for a discounted parking pass. The middle-level tickets are $32.50 each, plus $20.00 for a parking pass.
7

Explain how to verify that if the Burns family buys 4 tickets to the baseball game, the cost will be the same for the upper and middle levels. The equation, from the previous slide, that represents the scenario is:32.50t + 5 = 28.75t + 20

Answer:

If you substitute 4 for t in the equation, you get a true statement. That means it would cost the Burns family $135 for 4 tickets and parking for either lowerlevel or middlelevel seats.

8

At the game, Mrs. Burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. A bottle of water cost $0.75 less than a soft pretzel, and a bag of peanuts cost $0.75 more than a soft pretzel. Let p represent the price of a soft pretzel. Which statements are true about this scenario? Check all that apply.

A
The expression that represents the cost of a bottle of water is p – 0.75.
B
The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45.
C
The cost of a soft pretzel is $3.25.
D
The cost of a bag of peanuts is $4.00.
E
The cost of 8 bottles of water is $26.00.
9

Describe the steps used to find the value of x in the equation x + (2x + 40) + (3x – 50) = 15,002.

Answer:

First, combine like terms on the left side of the equation. Combining x, 2x, and 3x gives 6x, and combining 40 and -50 gives -10, so the equation becomes 6x - 10 = 15,002. Next, use the addition property of equality to add 10 to both sides, which results in 6x = 15,012. Finally, use the division property of equality to divide both sides by 6 to isolate x and find its value, which is 2,502.

10

Which did you include in your response?

A
Use the value for the variable to solve for the other unknowns.
B
Substitute the value for the variable into the expression for the number of seats on the middle level.
C
Substitute the value for the variable into the expression for the number of seats on the lower level.
11

Which did you include in your response?

A
Substitute 4 for t in the equation.
B
The result is a true statement.
C
Each set of 4 tickets plus parking would cost $135.
12

Which did you include in your response?

A
First combine like terms.
B
Use properties of equality.
C
Isolate the variable to determine its value.

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