Solving and Checking Linear Word Problems for Grade 6

A store sells pencils for $0.50 each. If you buy 10 pencils, how much do you spend? Write an equation to represent this situation and check if your answer is reasonable.

• $3.00

• $2.50

• $5.00

• $10.00

Maria has 3 times as many marbles as John. If John has x marbles, write an equation to express how many marbles Maria has. If John has 5 marbles, how many does Maria have? Check if your answer makes sense.

• 5

• 15

• 20

• 10

A car travels 60 miles per hour. How far will it travel in t hours? Write an equation for this situation and check if your answer is reasonable when t = 2.

• d = 80t; for t = 2, d = 160 miles.

• d = 60t; for t = 2, d = 100 miles.

• d = 30t; for t = 2, d = 60 miles.

• d = 60t; for t = 2, d = 120 miles.

Liam bought 4 books for $12. Write an equation to find the cost of one book. If you think the cost of one book is $3, check if this is reasonable based on your equation.

• $5

• $2

• $3

• $4

A recipe requires 2 cups of flour for every 3 cups of sugar. Write an equation to represent the relationship between flour and sugar. If you use 4 cups of flour, how much sugar do you need? Check if your answer is reasonable.

• 8 cups of sugar

• 10 cups of sugar

• 4 cups of sugar

• 6 cups of sugar

A gardener plants 5 rows of flowers with 8 flowers in each row. Write an equation to find the total number of flowers. If you think there are 40 flowers, check if this is reasonable based on your equation.

• 48

• 56

• 32

• 40

Samantha has $50. She spends $x on a new dress. Write an equation to find out how much money she has left. If she spends $20, check if your answer is reasonable.

• 30

• 10

• 25

• 40

A train leaves the station at 3 PM and travels at a speed of 75 miles per hour. Write an equation to find out how far it travels in h hours. If it travels for 2 hours, check if your answer is reasonable.

• 75 miles

• 200 miles

• 100 miles

• 150 miles

A box contains 12 chocolates. If you eat y chocolates, write an equation to find out how many chocolates are left. If you eat 5 chocolates, check if your answer is reasonable.

• 8

• 7

• 10

• 6

A school has 200 students. If 25% of them are in the band, write an equation to find out how many students are in the band. If you think there are 50 students in the band, check if this is reasonable.

• 75

• 25

• 50

• 100