Equations from Words

An amount y split into 5 groups plus 3 is 53.

• 5y + 3 = 53

Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation? (y=mx+b)

• y=15x+40

• y=15x

• y=40x+15

• y=15x-40

Thomas got a speeding ticket. The cop said he had to pay $10 for each mile per hour he was going over the speed limit. Plus Thomas has to pay $115 court cost. Which equation correctly models what Thomas would have to pay? (y=mx+b)

• y=10x+115

• y=115x+10

• y=125x

• y=10x-115

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which equation describes the situation?

• y=5x-2

• y=5x+2

• y=2x+5

• y=2x-5

Alan buys a new car for $25,000. It depreciates (loses value) at a rate of $2000 per year. Which equation correctly models the situation? (y=mx+b)

• y=2000x-25000

• y=-2000x+25000

• y=25000-x

• y=25000x-2000

A gym charges a sign up fee of $40 and charges $20 each month. The total fee after m months is $340. Write an equation that represents this problem situation. 

• 40m + 20 = 340 

• 20m-40 = 340 

• 20m + 40 = 340

• 20 + 340 = 40m 

LeBron tutors a group of students each week. LeBron charges $40 for the whole group plus $38 for each student in the group. This week LeBron has "x" students and charges a total of $230. What equation represents this problem?

• 230= 40x-38

• 230= 38x-40

• 230= 40x+38

• 230= 38x+40

Miley runs a warm-up lap for 10 minutes and then takes nine minutes to run each mile. The total time after "x" miles is 55 minutes. 

• 55= 9x-10

• 55= 9x+10

• 55= 10x-9

• 55= 10x+9

Doug's cell phone bill this month is $50.50. The company charges a monthly fee of $17 plus ten cents per call. Use x to represent the number of calls.

• 50.50= -17x+.10

• 50.50= 17x+.10

• 50.50= -.10x+17

• 50.50= .10x+17

Mike is buying a large pizza. The pizza cost $8.00 plus .50 for each additional topping. Which equation correctly models this situation? (y=mx+b)

• y= 8x - .50

• y= .50x + 8

• y= 8.50x

• y= 8x +.50