Real-Life Word Problems: Identify Equivalent Expressions

1. Sarah has 3 apples and buys 2 more. She says the total number of apples can be expressed as 3 + 2 or 5. What are the equivalent expressions?

• 2 + 2 = 4

• 3 - 2 = 1

• 3 + 2 = 5

• 5 - 3 = 2

2. A rectangle has a length of 4 meters and a width of 3 meters. The area can be expressed as 4 × 3 or 12. Write an equation for the area of the rectangle.

• A = 4 ÷ 3

• A = 4 - 3

• A = 4 + 3

• A = 4 × 3

3. Tom has 10 marbles. He gives away 4 marbles to his friend. Write an equation to represent the number of marbles Tom has left, and identify an equivalent expression.

• 10

• 8

• 6

• 4

4. A book costs $15. If you buy 2 books, the total cost can be expressed as 2 × 15 or 30. Write an equation for the total cost of buying 'b' books.

• total_cost = 15 / b

• total_cost = 15 + b

• total_cost = 15 * b

• total_cost = 30 - b

5. Lisa has 5 times as many stickers as her friend. If her friend has 'x' stickers, write an expression for the number of stickers Lisa has and identify an equivalent expression.

• 10x

• 2x

• x

• 5x

6. A car travels 60 miles per hour. How far will it travel in 't' hours? Write an equation for the distance and identify an equivalent expression.

• Distance = 60t^2

• Distance = 60t

• Distance = 30t

• Distance = 60 + t

7. A pizza is cut into 8 slices. If you eat 'y' slices, the remaining slices can be expressed as 8 - y. Write an equation and identify an equivalent expression for the remaining slices.

• 8 - y

• 8 / y

• y - 8

• 8 + y

8. A farmer has 20 apples and picks 5 more. Write an equation to represent the total number of apples and identify an equivalent expression.

• 20 + 10 = 30

• 20 + 5 = 25

• 5 + 5 = 10

• 20 - 5 = 15

9. A box contains 'n' chocolates. If you eat 3 chocolates, the remaining chocolates can be expressed as n - 3. Write an equation and identify an equivalent expression.

• n - 3

• 3 - n

• n + 3

• n - 2

10. A school has 200 students. If 50 students are absent, write an equation to represent the number of students present and identify an equivalent expression.

• Present = 200 - 100; Equivalent expression: 100

• Present = 200 - 50; Equivalent expression: 150

• Present = 50; Equivalent expression: 50

• Present = 200 + 50; Equivalent expression: 250