Variables on Both Sides 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

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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 

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.2

CCSS.6.RP.A.3

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve:

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

-4x - 10x

• -14
• 6x
• -6x
• -14x

Tags

CCSS.7.EE.A.1

-6k + 7k=

• k
• -k
• 12k
• -12k

Tags

CCSS.7.EE.A.1

-26k + 7k=

• -19k

• 19k

• 33k

• -33k

Tags

CCSS.7.EE.A.1

3 + 12c - 4c 

• 16c + 3 
• 8c + 3 
• 5c 
• 8c 

Tags

CCSS.7.EE.A.1