Making Equations Equal

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

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8.17

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

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8.17

The length of a rectangle is five inches less than three times its width. If the perimeter of the rectangle is 150 inches, find the dimensions.

• L=40 W=35

• L=50 W=25

• L=60 W=45

• L=55 W=20

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8.17

Aaron and Carl are working to earn money for prom. Aaron has $40 and is earning $6 a month for prom. Carl has $64 and $4 a week. How many weeks till they have the same amount?

• 4 weeks

• 6 weeks

• 12 weeks

• never

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8.17

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

• 105 = x(35 + 0.75)

• 105 = 35x + 0.75

• 105 = 0.75x + 35

• 105 = 0.75(x + 35)

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8.17

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 50

• 20

• 15

• 25

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8.17

Which was the mistake the student made.

• The student did not combine like terms properly on the left side.

• The student did not combine like terms properly on the right side.

• The student divided by the wrong value.

• The student has x on the wrong side of the equal sign.

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8.17

Which of the following should be the correct answer to the problem above.

• x = 3

• x = 5

• x = 7

• x = -7

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8.17

What was the mistake the student make?

• The student did not distribute properly.

• The student did not combine like terms properly.

• The student did not subtract properly.

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8.17

Which is the mistake the student made?

• The student did not distribute properly.

• The student did not combine like terms properly.

• The student did not divide by the proper value.

Tags

8.17