Solving Real-World Multistep Equations

Question 1

Which equation represents this scenario?

Revolt · Accepted Answer

B: x + (2x + 40) + (3x – 50) = 15,002

Question 2

The upper level has seats.

Revolt · Accepted Answer

2502

Question 3

How many seats are in the lower level?2,3522,652✔ 7,4567,556

Revolt · Accepted Answer

C: 7,456

Question 4

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.

Revolt · Accepted 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.

Question 5

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.

Revolt · Accepted Answer

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.

Question 6

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

Revolt · Accepted 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.

Question 7

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.

Revolt · Accepted Answer

A: The expression that represents the cost of a bottle of water is p – 0.75.; C: The cost of a soft pretzel is $3.25.; D: The cost of a bag of peanuts is $4.00.

Question 8

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

Revolt · Accepted 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.

Question 9

How many seats are in the middle level?2,4242,5824,964✔ 5,044

Revolt · Accepted Answer

D: 5,044

Question 10

Which did you include in your response?

Revolt · Accepted Answer

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.

Solving Real-World Multistep Equations Answers

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