Practical Problems Multi-Step Equations

S = 3F - 24  Solve for F

• F = (S + 24)/3

• F = S/3 + 24

• F = 3S + 24

• F = 3(S + 24)

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

8.17

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

8.17

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

8.17

• 0

• 1

• -1

• 4

• x=3

• x=-7

• x=0

• No Solution

• x=-10

• x=2

• No Solution

• All Real Numbers

• –6x + 1 = 45

• –3(3x) = 45

• –6x – 3 = 45

• –6x = 44

• 2

• -2

• 8

• 8

What is the value of t that satisfies the equation?

• 10
  

• 11