Equations from Word Problems

A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?

• 50x + 40; $290

• 50x + 40x; $450

• 50 + 40x; $250

• 90x; $450

What could this represent? 7x + 2 = 30

• Buying pet turtles for $7 each plus two cans of turtle food cost $30.

• Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

• Two yoyos plus seven frisbees is thirty cents.

• Buying seven calculators plus $2 per bundle of pencils is $30.

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?

• 5 + 1x = 2x + 4; 1 bag of chips

• 9x = 3; 3 bags of chips

• 5x + 1 = 4x + 2; 1 bag of chips

• 5x = 6x; -1 bag of chips

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

Write a linear equation for this situation: 
 "A car detailing company charges $10 for supplies and $20 per hour to detail your car."

• y = 20x - 10

• y = 10x - 20

• y = 20x + 10

• y =10x + 20

Paul the plumber charges $25 for a service call. He then charges $100 an hour. Write a linear equation to model this situation.

• y = 100x

• y = 25x

• y = 25x + 100

• y = 100x + 25

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x