Grade 7 Equation Word Problems

Grade 7 Equation Word Problems

Read each word problem carefully. Write an equation to represent the problem, then solve for the unknown variable. Show all your work.

1. Sarah bought a book for $12.50. She paid with a $20 bill and received $7.50 in change. Write an equation to represent this situation and find the cost of the book.

2. A recipe calls for 3 cups of flour. If you only have 1.5 cups, how much more flour do you need? Write an equation and solve.

3. The perimeter of a rectangle is 48 cm. If the length is 14 cm, what is the width? Write an equation to find the width.

4. A taxi charges a flat fee of $3 plus $2 per mile. If a ride cost $17, how many miles was the ride? Write an equation and solve.

Use the words from the word bank to complete the sentences, then solve the related problem.

5. An   is a mathematical statement that two expressions are equal. To solve for the unknown  , we use  .

Problem: Three friends split the cost of a pizza. Each friend paid $7. What was the total cost of the pizza? Write an equation and find the  .

6. The image below shows a balance scale. Each square represents 1 unit, and the circle represents an unknown value 'x'. Write an equation that represents the balance scale, then solve for 'x'.