Real-Life Scenarios: Simplifying & Identifying Expressions

2. A rectangle has a length of 4x and a width of 2x. What is the expression for the perimeter? Simplify the expression and check if 2(4x + 2x) is equivalent to your answer.

• 6x

• 12x

• 8x

• 10x

3. Tom is saving money. He saves $5 each week. Write an expression for the total savings after w weeks. Is 5w equivalent to 10 + 5(w - 2)?

• Yes, 5w is equivalent to 10 + 5(w - 2).

• 5w is equivalent to 10 + 2w

• 5w is equivalent to 10 - 5(w - 2)

• 5w is not equivalent to 10 + 5(w - 2)

4. A box contains 6 red balls and 4 blue balls. Write an expression for the total number of balls. Is 6 + 4 equivalent to 2(3 + 2)?

• 6 + 4 equals 8, which is not related to 2(3 + 2).

• Yes, 6 + 4 is equivalent to 2(3 + 2).

• 6 + 4 is not equivalent to 2(3 + 2).

• The total number of balls is 10, not 2(3 + 2).

6. A car travels at a speed of 60 miles per hour. Write an expression for the distance traveled in t hours. Is 60t equivalent to 30(2t)?

• No, 60t is not equivalent to 30(2t).

• Yes, 60t is equivalent to 15(4t).

• Yes, 60t is equivalent to 30(2t).

• No, 60t is equivalent to 30(3t).

7. A farmer has 12 cows and buys 5 more. Write an expression for the total number of cows. Is 12 + 5 equivalent to 2(6 + 2.5)?

• 12 + 5 is equivalent to 2(5 + 3)

• 12 + 5 equals 20 cows

• 12 + 5 is not equivalent to any expression

• Yes, 12 + 5 is equivalent to 2(6 + 2.5).

8. A pizza is cut into 8 slices. If you eat 3 slices, write an expression for the remaining slices. Is 8 - 3 equivalent to 5?

• 8 - 3 equals 6.

• Yes, 8 - 3 is equivalent to 5.

• 8 - 3 is not a valid expression.

• You have 3 slices left.

9. A book costs $15. If you buy 2 books, write an expression for the total cost. Is 2(15) equivalent to 30?

• 2(15) is equivalent to 20.

• Yes, 2(15) is equivalent to 30.

• 2(15) is equivalent to 35.

• 2(15) is equivalent to 25.

10. A garden has 5 rows of flowers with 4 flowers in each row. Write an expression for the total number of flowers. Is 5 * 4 equivalent to 20?

• 4 * 5 is not equal to 20.

• 5 + 4 is equivalent to 20.

• Yes, 5 * 4 is equivalent to 20.

• 5 * 4 equals 15.