Equations Variables Both

-2y + 8 = 4y - 10

• y = 3

• y = -3

• y = 6

• y = -6

-10x - 135 = 117 + 2x

• 25

• -18

• -21

• 22

7x - 11 = 5x + 25

• 18

• 17

• 16

• 15

-99 - 2x = 48 + 5x

• -21

• 22

• -22

• 21

-38 + 6x = 52 + 3x

• 20

• 30

• 40

• 10

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

Which equation is represented by the balance scale?

• x - 1 = x + 5

• 3x = 5x

• 2x - 1 = x + 5

• 2x - 1 = 5

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CCSS.HSA.CED.A.3

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. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

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

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