Solving and Checking Equations from Word Problems

A farmer has 12 apples and wants to divide them equally among his 4 friends. How many apples will each friend get? Write an equation to represent this situation.

• 3

• 2

• 4

• 5

Sarah has twice as many marbles as Tom. If Tom has x marbles, write an equation to express how many marbles Sarah has. What is a reasonable number of marbles for Tom?

• Sarah has x marbles; a reasonable number for Tom is 10.

• Sarah has 3 * x marbles; a reasonable number for Tom is 2.

• Sarah has 2 * x marbles; a reasonable number for Tom is 5.

• Sarah has x + 5 marbles; a reasonable number for Tom is 1.

A book costs $15. If you buy 3 books, how much will you spend in total? Write an equation to find the total cost and check if $45 is a reasonable solution.

• $45

• $60

• $30

• $75

In a school, there are 120 students. If 30% of them are in the basketball team, how many students are on the team? Write an equation to find the number of students on the team and check if 36 is a reasonable answer.

• 36

• 24

• 60

• 48

A car travels at a speed of 60 miles per hour. How far will it travel in t hours? Write an equation for the distance traveled and check if 180 miles is reasonable for 3 hours.

• The equation is distance = 90t, and 180 miles is reasonable for 3 hours.

• The equation is distance = 60t, and 180 miles is reasonable for 3 hours.

• The equation is distance = 60t, and 180 miles is too far for 3 hours.

• The equation is distance = 30t, and 180 miles is not reasonable for 3 hours.

Lily has 5 more stickers than her brother. If her brother has y stickers, write an equation to find how many stickers Lily has. If her brother has 10 stickers, is it reasonable for Lily to have 15?

• No, Lily should have 10 stickers.

• Yes, it is reasonable for Lily to have 15 stickers.

• Yes, Lily can have 20 stickers.

• No, it's impossible for Lily to have more than her brother.

A pizza is cut into 8 slices. If you eat x slices, how many slices are left? Write an equation to represent the remaining slices and check if 3 slices left is reasonable when 5 are eaten.

• 2 slices left when 5 are eaten.

• 4 slices left when 5 are eaten.

• 1 slice left when 5 are eaten.

• 3 slices left is reasonable when 5 are eaten.

A movie ticket costs $10. If you buy m tickets, write an equation to find the total cost. If you buy 4 tickets, is $40 a reasonable total?

• No, $20 is a reasonable total.

• Yes, $50 is a reasonable total.

• No, $30 is a reasonable total.

• Yes, $40 is a reasonable total.

A box contains 24 chocolates. If you give away c chocolates, how many are left? Write an equation to express the remaining chocolates and check if 15 left is reasonable when 9 are given away.

• 15

• 5

• 20

• 10

A train travels 150 miles in 2 hours. Write an equation to find the speed of the train. Is 75 miles per hour a reasonable speed for this train?

• Yes, 75 miles per hour is a reasonable speed for this train.

• No, the speed is below average for trains.

• Yes, but only if it stops frequently.

• No, the train is traveling too fast.