Real Life Linear Equations

When at a conference, Mr. Gary rented a car for a fee of $62.50 plus $0.12 per mile he drives. What is the most miles Mr. Gary can drive without spending more than $320?

Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?

• y=25x

• y=20x+5

• y=5x+20

• y=5x

Which of the following equations represents the following situation: "I am six years old than my sister. Our ages add to 44." Let s represent my sister's age

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Sophie and Carolina leave the school traveling in opposite directions on a straight road. Sophie drives 8 mi/h faster than Carolina. After 1/2 hour they are 25 miles apart. Write and solve an equation to find Carolina's rate and Sophie's rate.

• Carolina's rate is 21 mi/h and Sophie's rate is 29 mi/h.

• Carolina's rate is 15 mi/h and Sophie's rate is 25 mi/h.

• Carolina's rate is 24 mi/h and Sophie's rate is 33 mi/h.

• Carolina's rate is 40 mi/h and Sophie's rate is 30 mi/h.

The length of a rectangle is 5 in. more than its width. The perimeter of the rectangle is 90 in. What is the length of the rectangle?

• 25 inches

• 30 inches

• 20 inches

• 35 inches

A moving van leaves a house traveling at an average rate of 60 mi/h. The family leaves the house one and a half hour later following the same route in the car. They travel at average rate of 80 mi/h. How long it will take the car to catch up with the van?

• The car catches the van after traveling 4 hours.

• The car catches the van after traveling 4 hours and 30 minutes.

• The car catches the van after traveling 5 hours and 30 minutes.

• The car catches the van after traveling 6 hours.

An airplane flies from Miami to Boston, at an average rate of 320 mi/h. The airplane then returns to Miami at an average rate of 280 mi/h. The total travel time is 3 hours. Write and solve an equation to find the flying time from Miami to Boston.

• The flying time from Miami to Boston is about 1 hour and 24 minutes.

• The flying time from Miami to Boston is about 1 hour and 10 minutes.

• The flying time from Miami to Boston is about 1 hour and 30 minutes.

• The flying time from Miami to Boston is about 1 hour and 35 minutes.

Ali is twice as old as Asad. 10 years ago his age was thrice of Asad. Find their present ages.

• 10

• 20

• 30

• 40

You bought a $5 gift card and 5

stuffed animals. You spent a total of $30. How

much did each stuffed animal cost?

• x = 5

• x = 7

• x = 10

• x = 3