Linear Equations Word Problems Quiz

Jamie is buying pencils. Each pencil costs $0.50, and there is a fixed fee of $1.00 for packaging. Write an equation that models the total cost, C, in dollars, if Jamie buys p pencils. How much will it cost Jamie to buy 8 pencils?

• $4.50

• $5.00

• $5.50

• $6.00

A plant was 10 cm tall two weeks ago and grew to 16 cm tall this week. Assume the plant grows at a constant rate. Write an equation to model the height, H, of the plant in centimeters after w weeks since the measurement two weeks ago. How tall will the plant be in 5 more weeks?

• 18 cm

• 20 cm

• 22 cm

• 24 cm

A toy company can produce either 4 action figures or 3 dolls in one hour. They have a total of 24 hours to produce toys. Let x represent the number of action figures and y represent the number of dolls produced. Write an equation to represent this production constraint, and solve for y if they produce 12 action figures.

• y = 8

• y = 6

• y = 0

• y = -12

A car rental company charges a daily fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost, C, in dollars, for renting the car for one day and driving m miles. How much will it cost if you drive 100 miles in one day?

• $25

• $30

• $35

• $40

At 3 p.m., the temperature was 70°F, and by 8 p.m., it had dropped to 55°F. Assume the temperature decreased at a constant rate. Write an equation that models the temperature T at any time t in hours since 3 p.m. What would the temperature be at 6 p.m.?

• 59°F

• 61°F

• 63°F

• 65°F

A juice company mixes two types of juice to create a blend. Orange juice costs $2 per gallon, and apple juice costs $3 per gallon. The company wants to produce a blend that costs exactly $50. Let x be the gallons of orange juice and y be the gallons of apple juice used. Write an equation to represent this situation, and find the value of y if 10 gallons of orange juice are used.

• 5 gallons

• 10 gallons

• 15 gallons

• 20 gallons

Maria earns $10 per hour babysitting, and she received an additional $15 as a holiday bonus. Write an equation to model her total earnings, E, if she works h hours. How much will she earn if she babysits for 6 hours?

• $65

• $70

• $75

• $80

A hot air balloon is at an altitude of 300 feet after 2 minutes and rises to 450 feet after 5 minutes. Assume it rises at a constant rate. Write an equation that models the altitude, A, in feet of the balloon after t minutes. What will the altitude be after 8 minutes?

• 550 feet

• 600 feet

• 650 feet

• 700 feet

A school fundraiser sells boxes of cookies and chocolates. A box of cookies sells for $5, and a box of chocolates sells for $8. They want to raise at least $200. Write an equation to represent this goal using x for the boxes of cookies and y for the boxes of chocolates. How many boxes of chocolates are needed if they sell 20 boxes of cookies?

• 5 boxes

• 10 boxes

• 15 boxes

• 20 boxes

A cell phone company offers a plan that costs $20 per month plus $0.05 for each text message sent. Write an equation to represent the total monthly cost, C, if t text messages are sent. What is the monthly cost if 200 text messages are sent?

• $25

• $30

• $35

• $40