Equations from Problems

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

• 12.5x +9 = 43.73

• 73.43 = 12.5x + 9

• 12.5 - 9x = 43.73

• 43.73 = 12.5 + 9x

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

• y = 8.5 + 25.5

• y = 8.5x + 25.5

• y = 8.5 + 25.5x

• y = 8.5x + 25.5x

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

• y = 6x - 2

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

What does f(x) represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does x represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 4.25 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

At Gamestop you can buy an XBox One for $150 and each game to go with it would cost $24. Or you can buy a Playstation 4 for $180 and each game cost $20. Write an equation to determine how many games would need to be purchased for the cost to be the same?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24x + 20x

• 150 - 24x = 180 - 20x