Translate Word Problems: Solve Equations & Inequalities

A store sells pencils for $0.50 each. If you buy x pencils and spend $10, how many pencils did you buy? Set up the equation and solve for x.

• 20

• 30

• 25

• 15

Maria has twice as many marbles as John. If John has y marbles, write an equation to represent the situation and find how many marbles Maria has.

• y

• 3y

• 2y

• y+2

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you spent a total of $50, how many miles did you drive? Set up the equation and solve for the miles driven.

• 150 miles

• 250 miles

• 200 miles

• 100 miles

The sum of three consecutive integers is 72. Write an equation to represent this situation and find the integers.

• 21, 22, 23

• 25, 26, 27

• 23, 24, 25

• 20, 21, 22

A swimming pool can be filled in 4 hours by one hose and in 6 hours by another. If both hoses are used together, how long will it take to fill the pool? Set up the equation and solve for the time.

• 1.5 hours

• 2.4 hours

• 5 hours

• 3 hours

A concert hall has a seating capacity of 500. If 3 times the number of tickets sold is equal to the total capacity, how many tickets were sold? Set up the equation and solve for the number of tickets sold.

• 200

• 150

• 166

• 300

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 5 cups of sugar, how many cups of flour do you need? Set up the equation and solve for the flour needed.

• 3.33 cups of flour

• 5 cups of flour

• 4 cups of flour

• 2 cups of flour

A gardener has 120 feet of fencing to create a rectangular garden. If the length is 10 feet more than the width, set up an equation to find the dimensions of the garden.

• Width: 25 feet, Length: 35 feet

• Width: 30 feet, Length: 40 feet

• Width: 15 feet, Length: 25 feet

• Width: 20 feet, Length: 30 feet

A movie theater sells adult tickets for $12 and child tickets for $8. If the total revenue from selling 50 tickets is $520, how many adult tickets were sold? Set up the equation and solve for the number of adult tickets.

• 25

• 20

• 30

• 35

A train travels at a speed of 60 miles per hour. If it travels for t hours, how far does it travel? Write the equation and solve for the distance when t = 3 hours.

• 240 miles

• 90 miles

• 120 miles

• 180 miles