Applying Multi-Step Equations Warmup

• Combine like terms

• Distribute

• Multiplicative Inverse

• Identify the Variable

• Undo the constant

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile.  Which equation determines the number of miles (x) if the total cost was $360

• 360 = (150)(0.10x)
• 360 = (150) + 0.10x
• 360 = 150 + (0.10x)
• 360 = (150 + 0.10x)

Brooke buys 6 cups for C dollars each and 4 mugs for M dollars each.  Sales tax is 7%.  Which expression represents the total cost for Brookes purchace?

• (6C + 4M)(1.07)
• (6C + 4M)(0.07)
• (6C + 4M) + 1.07
• (6C + 4M) + 0.07

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