Solving and Writing Equations and Inequalities Vocabulary

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 inequality could be used to determine how many rides you would need to go on before it would become cheaper to go to the Frederick fair?

• 15x + 2.5 < 10x + 3

• 15 + 2.5x > 10 + 3x

• 15 + 2.5x < 10 + 3x

• 15 - 10 ≥ 2.5x + 3x

David has two jobs. He earns $8 per hour babysitting his neighbor's children and he earns $11 per hour working at the coffee shop. Write an inequality to represent the number of hours, x, babysitting and the number of hours, y, working at the coffee shop that David will need to work to earn a minimum of $200.

Mathematical Equivalence

ON

-5k + 10 = -2k - 14

• 8

• -8

• 2

• -2

• 4.8

• 6

• 2.4

• 3

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

• x = 1/3
• x = 12
• x = 6
• x = 1/2

7 + 6x - 7x = 3x - 2x - 5

• x = 6

• x = -16

• x = -5

• x = 4

-8x - 8 + 3x - 6 = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2