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Real World Problems Solve for the Variable

Authored by Barbara White

Mathematics

8th - 9th Grade

CCSS covered

Real World Problems Solve for the Variable
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

WRITE AN EQUATION

You bought a magazine for $5 and four erasers. You spent a total of $25. Write a 2-step equation to find the cost of one eraser.

5 + x = 25

5 + 4x = 25

5x = 25

25 - 5 = -4x

Tags

CCSS.7.EE.B.4A

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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Jonathan charges a flat fee of $12, plus $8 per hour, to watch a dog.  Veronica charges $24 per hour to watch a dog.  How many hours must both Jnathan and Veronica watch a dog to earn the same amount of money?

Jonathan charges a flat fee of $8, plus $24 per hour, to watch a dog.  Veronica charges $12 per hour to watch a dog.  How many hours must both Jonathan and Veronica watch a dog to earn the same amount of money?

Jonathan charges a flat fee of $24, plus $8 per hour, to watch a dog.  Veronica charges $12 per hour to watch a dog.  How many hours must both Janathan Veronica watch a dog to earn the same amount of money?

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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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? 

120 miles
100 miles
110 miles
150 miles 

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

10x + 9 = 4x - 9

0
3
-3
-18

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:

7w + 5 = 3w - 15

5

-2

2

-5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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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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