Multi-Step Equations Word Problems

Front

Equations to determine equal value for Frederick County Fair ($15 + $2.50/ride) and Montgomery County Fair ($10 + $3.00/ride).

Back

15 + 2.5x = 10 + 3x

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8.17

Front

Equation to determine how many games need to be purchased for Xbox One and Playstation 4 costs to be equal?

Back

150 + 24x = 180 + 20x

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8.17

Front

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? Options: 120 miles, 100 miles, 110 miles, 150 miles

Back

120 miles

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8.17

Front

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? Options: 2 miles, 4 miles, .50 mile, -4 miles

Back

4 miles

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8.17

Front

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.

Back

2 hours

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8.17

Front

The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.

Back

Length: 47 cm, Width: 26 cm

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8.17

Front

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.

Back

L=55 W=20

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8.17

Front

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?

Back

12 weeks

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8.17

Front

Tara's cell phone bill is $75. Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime. How many minutes did she talk?

Back

300 minutes

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8.17

Front

Cost equation for renting a car at Joe's Clown Car Rental Agency: $35 + $0.75 per mile. Melissa's total cost: $105.

Back

105 = 0.75x + 35

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8.17