Word Problems Variables on Both Sides

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

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

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

Mike’s Fitness Center charges $30 per month for a membership. All-Day Fitness Club charges $22 per month plus an $80 initiation fee for a membership. After how many months, m, will the total amount paid to the two fitness clubs be the same? Select the equation AND the answer (2 answers).

• 80m + 30 = 22m

• m = 10

• 30m = 80 + 22m

• m = 8

Equation: -2(3x - 4) -5 = 5

Step 1 -6x - 8 - 5 = 5

Step 2 -6x -13 = 5

Step 3 +13 +13

-6x = 18

Step 4 -6 -6

x = -3

Jose is solved this equation. His work is shown above. Select in which step he made an error.

• Step 1

• Step 2

• Step 3

• Step 4

Tags

CCSS.HSA.REI.A.1

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Boost’s plan charges $40 per month with additional minutes costing $0.45. Verizon’s plan costs $45 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same? Select 2 answers - the equation and the answer.

• a = 50

• 40a + 0.40 = 45a + 0.45

• a = 100

• 40 + 0.45a = 45 + 0.40a