Linear Equations & Diagrams: Grade 6 Word Problems Quiz

A farmer has 120 apples. He sells them in bags of x apples each. If he sells 8 bags, how many apples are left? Write an equation to represent this situation.

• 120 - 8 * x

• 120 + 8 * x

• 120 - 8 + x

• 120 / 8 * x

Maria has 50 stickers. She buys y more stickers and now has 80 stickers. Write an equation to find out how many stickers she bought.

• 20

• 40

• 50

• 30

A school is planning a field trip. Each bus can hold 30 students. If there are 120 students going, how many buses are needed? Use a diagram to represent the problem.

• 4

• 6

• 3

• 5

Tom is 3 years older than his sister. If his sister is x years old, write an equation to express Tom's age. How old is Tom if his sister is 10?

• 12

• 15

• 13

• 10

A bookstore sells novels for $15 each and magazines for $5 each. If a customer buys 3 novels and m magazines, how much does the customer spend? Write an equation for the total cost.

• Total Cost = 30 + 5m

• Total Cost = 45 + 5m

• Total Cost = 60 + 5m

• Total Cost = 15 + 3m

A pool can be filled in 4 hours by one hose. If two hoses are used, how long will it take to fill the pool? Create a diagram to show the relationship between hoses and time.

• 2 hours

• 5 hours

• 3 hours

• 1 hour

Lily has a collection of marbles. She has twice as many blue marbles as red marbles. If she has r red marbles, write an equation for the number of blue marbles. How many blue marbles does she have if she has 10 red marbles?

• 15

• 30

• 20

• 25

A car travels at a speed of 60 miles per hour. How far will it travel in t hours? Write an equation to represent the distance traveled. What is the distance after 2 hours?

• 150 miles

• 120 miles

• 60 miles

• 90 miles

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

• s / 3

• (3/2) * s

• (2/3) * s

• s + 2

A concert hall has 500 seats. If x seats are sold, how many seats are left? Write an equation to find out how many seats are available if 300 seats are sold.

• 250

• 200

• 400

• 100