Translate Real-Life Scenarios into Linear Equations

A store sells pencils for $0.50 each. If you buy x pencils, how much will you spend? Write an equation to represent the total cost.

• total cost = 0.50 / x

• total cost = x + 0.50

• total cost = 0.50 * x

• total cost = 0.50 - x

Maria has twice as many apples as John. If John has x apples, how many apples does Maria have? Write an equation to express this relationship.

• M = 2x

• M = x

• M = 3x

• M = x/2

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you drive m miles, how can you express the total cost? Write the equation.

• C = 0.15 + m

• C = 20 - 0.15m

• C = 20 + 0.50m

• C = 20 + 0.15m

A school is planning a field trip and needs to raise $300. If each student contributes x dollars, how many students are needed to reach the goal? Write an equation to find the number of students.

• n = 300 + x

• n = x / 300

• n = 300 / x

• n = 300 - x

Tom is 4 years older than his sister. If his sister is y years old, how old is Tom? Write an equation to represent Tom's age in terms of his sister's age.

• Tom's age = y + 4

• Tom's age = y - 4

• Tom's age = y + 2

• Tom's age = 2y + 4

A recipe requires 3 cups of flour for every 2 cups of sugar. If you have x cups of flour, how many cups of sugar do you need? Write an equation to express this relationship.

• sugar = (3/2) * x

• sugar = (1/2) * x

• sugar = (4/3) * x

• sugar = (2/3) * x

A gardener is planting flowers in rows. If there are r rows and each row has 5 flowers, how many flowers are there in total? Write an equation to represent the total number of flowers.

• total_flowers = r * 5

• total_flowers = r - 5

• total_flowers = 5 + r

• total_flowers = r / 5

A phone plan costs $30 per month plus $0.10 per text message sent. If you send t text messages, how can you express your total monthly cost? Write the equation.

• C = 30 + 0.10t

• C = 30t + 0.10

• C = 30t + 30

• C = 30 + 0.05t

A train travels at a speed of 60 miles per hour. If it travels for t hours, how far does it go? Write an equation to represent the distance traveled.

• distance = 60 + t

• distance = 60t^2

• distance = 60t

• distance = 30t

Samantha has $50. She spends x dollars on a book. How much money does she have left? Write an equation to express her remaining money.

• 50 - x

• 50 + x

• 50 - 50

• x - 50