Two Step Equations Word Problems

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

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8.17

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

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

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

• # of tickets
• # of hours

• amount of money
• number of days

Hello World

• # of tickets

• # of hours

Hello World

• # of tickets

• # of hours

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.

Tags

8.17

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

• 55 + x = 145

• 145x = 55

• 55 - x = 145

• 145 (55) = x