Solving and Checking Algebra Word Problems: Grade 7

A store sells pencils for $0.50 each. If you buy x pencils, how much will you spend? Write an equation to represent this situation and solve for x if you spent $4.00. Check if your solution is reasonable.

• 8

• 12

• 10

• 6

Maria has 3 times as many marbles as John. If John has y marbles, write an expression for the number of marbles Maria has. If John has 5 marbles, how many does Maria have? Verify your answer by checking the multiplication.

• 12

• 15

• 20

• 10

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a batch with 12 cups of sugar, how many cups of flour do you need? Set up an equation and check if your answer makes sense in the context of the recipe.

• 6 cups of flour

• 10 cups of flour

• 8 cups of flour

• 4 cups of flour

A car travels at a speed of 60 miles per hour. How far will it travel in t hours? Write an equation to represent this and find the distance if t is 3 hours. Is your answer reasonable based on the speed?

• 90 miles

• 180 miles

• 240 miles

• 120 miles

In a class, the ratio of boys to girls is 4:5. If there are b boys, how many girls are there? Write an equation and find the number of girls if there are 20 boys. Check if your answer fits the ratio.

• 25

• 15

• 30

• 20

A book costs $15, and you have a budget of $60. How many books can you buy? Write an inequality to represent this situation and solve for the number of books. Is your solution reasonable given your budget?

• 4

• 2

• 5

• 3

A gardener plants 5 rows of flowers with 8 flowers in each row. Write an equation to find the total number of flowers planted. If the gardener decides to plant 2 more rows with the same number of flowers, how many flowers will there be in total? Check your work for accuracy.

• 48

• 64

• 56

• 40

A school is organizing a field trip and needs to collect $1200. If each student pays $15, how many students need to participate? Write an equation and solve for the number of students. Does your answer seem reasonable for a school trip?

• 60

• 80

• 100

• 40

A box can hold 24 cans. If you have c boxes, how many cans can you store? Write an equation and find out how many cans can be stored if you have 5 boxes. Check if your answer is reasonable based on the capacity of the boxes.

• 60

• 144

• 96

• 120

A movie theater has 150 seats. If x seats are reserved for a show, how many seats are left? Write an equation to represent this situation and find out how many seats are available if 75 seats are reserved. Verify your answer by checking the subtraction.

• 100

• 25

• 75

• 50