Simplifying Algebraic Expressions: Grade 7 Challenge

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an expression for the number of apples Sarah has and simplify it.

• 4x

• 2x

• 3x

• x

2. A rectangle has a length of (2x + 3) meters and a width of (x + 1) meters. Write an expression for the perimeter of the rectangle and simplify it.

• 6x + 8

• 8x + 4

• 4x + 6

• 2x + 5

3. If a book costs $5 and a pen costs $2, write an expression for the total cost of buying 3 books and 4 pens. Simplify your expression.

• $18

• $20

• $25

• $23

4. The total score of a basketball player is represented by the expression (2x + 5) + (3x - 2). Combine like terms to find the simplified expression for the total score.

• 4x + 3

• 5x - 2

• 5x + 3

• 6x + 1

5. A gardener is planting flowers in rows. If each row has (4x + 2) flowers and there are 3 rows, write an expression for the total number of flowers and simplify it.

• 10x + 4

• 12x + 6

• 8x + 2

• 15x + 3

6. A car rental company charges a flat fee of $20 plus $15 for each day rented. Write an expression for the total cost of renting a car for d days and simplify it.

• 15d + 20

• 20 + 15d

• 20 + 10d

• 20d + 15

7. If the expression (5x + 3) - (2x + 7) represents the number of tickets sold, simplify the expression to find the total number of tickets sold.

• 2x + 10

• 3x - 4

• 4x - 5

• 5x - 3

8. A recipe requires (2x + 4) cups of flour and (3x - 1) cups of sugar. Write an expression for the total amount of flour and sugar needed and simplify it.

• 6x + 3

• 2x + 2

• 4x + 5

• 5x + 3

9. A school is selling tickets for a play. If the expression for the total tickets sold is (x + 10) + (2x - 5), combine like terms to find the total tickets sold.

• 2x + 5

• 3x + 5

• 3x - 5

• x + 10

10. If a box contains (3x + 4) toys and another box contains (2x - 1) toys, write an expression for the total number of toys in both boxes and simplify it.

• 4x + 5

• 5x + 3

• 6x + 3

• 5x + 1