Real-Life Linear Equations: Identify Variables & Translate

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items for $6.00, how many pencils and erasers did you buy? Identify the variables and write the equation.

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

Maria has twice as many marbles as John. If John has x marbles, write an equation to represent the number of marbles Maria has. What is the equation?

• M = 2x

• M = 3x

• M = x

• M = x/2

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you paid $35 for your rental, how many miles did you drive? Identify the variables and translate the situation into an equation.

• 100

• 75

• 50

• 120

A gardener is planting flowers in rows. If each row has 5 flowers and there are y rows, write an equation to represent the total number of flowers planted. What is the equation?

• total flowers = 5 + y

• total flowers = 10y

• total flowers = y + 5

• total flowers = 5y

Tom is saving money to buy a video game that costs $50. If he saves $5 each week, how many weeks will it take him to save enough money? Identify the variables and write the equation.

• 20 weeks

• 10 weeks

• 5 weeks

• 15 weeks

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have x cups of sugar, write an equation to find the amount of flour needed. What is the equation?

• flour = (1/2) * x

• flour = (2/3) * x

• flour = x + 2

• flour = (3/2) * x

A school is organizing a field trip. The cost per student is $15, and there are z students attending. Write an equation to represent the total cost of the trip. What is the equation?

• Total cost = 30z

• Total cost = z + 15

• Total cost = 15 + z

• Total cost = 15z

A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation to find the distance traveled. What is the equation?

• distance = 30t

• distance = 60t^2

• distance = 60 + t

• distance = 60t

Samantha has $100. She spends $20 each week. Write an equation to find out how many weeks she can continue spending before she runs out of money. Identify the variables and write the equation.

• 3 weeks

• 5 weeks

• 10 weeks

• 7 weeks

A factory produces 200 toys each hour. If the factory operates for h hours, write an equation to find the total number of toys produced. What is the equation?

• T = 200h

• T = 200h + 50

• T = 200 + h

• T = 100h