Pre-quiz Enrichment: Equations with variables on both sides

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

-5k + 10 = -2k - 14

• 8
• -8
• 2
• -2

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

The Somerset County Fair costs $15.00 to get in and $2.50 per ride, while the Hunterdon 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 cost the same?

• 15 - 2.5x = 10x - 3

• 15 + 2.5x = 10x + 3

• 15 + 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

Which inequality can be represented by the inequality 20x + 50 < 25x

• Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will deposit $25 in the account each week. How many weeks will it take for Greg to have more money saved than Lauren?

• Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will put $25 in the account each week. How many weeks will it take for Lauren to have more money saved than Greg?

• Greg saves $20 each week to put in his savings account at the bank. His sister, Lauren has saved $50 and will save $25 each week. How many weeks will it take for Greg to have more money than Lauren?

• Greg has saved $50 and plans to put $25 each week in his savings account at the bank. His sister, Lauren has also saved $50 but will put $20 in her bank account each week.