Distributive Property & Factoring: 8th Grade Quiz

1. Sarah bought 3 packs of pencils, each containing x pencils. Write an expression using the distributive property to represent the total number of pencils she bought.

• 3x

• x + 3

• 3 + 3x

• 3x + 1

2. A box contains 4 bags of marbles, each bag has y marbles. How can you express the total number of marbles in the box using the distributive property?

• 2y

• 8y

• 4y

• y+4

3. If a store sells 5 shirts for a price of p dollars each, how can you use the distributive property to find the total cost of the shirts?

• 10p

• 5p + 1

• p + p + p + p + p

• 5p

4. Factor the expression 12x + 16. What is the factored form?

• 4(3x - 4)

• 2(6x + 8)

• 4(3x + 4)

• 12(1x + 1.33)

5. A recipe requires 2 cups of flour for each batch of cookies. If you want to make b batches, express the total amount of flour needed using the distributive property.

• 2b + 1

• 4b

• b cups of flour

• 2b

6. If you have the expression 15y + 10, what is the factored form of this expression?

• 5(3y - 2)

• 5(3y + 2)

• 3(5y + 10)

• 10(1.5y + 1)

7. A gardener plants 6 rows of flowers, with each row containing n flowers. Write an expression using the distributive property to represent the total number of flowers planted.

• n*6

• n+6

• 7n

• 6n

8. Factor the expression 18a + 24b. What is the factored form?

• 9(2a + 3b)

• 3(6a + 8b)

• 6(3a + 4b)

• 6(2a + 3b)

9. A car rental company charges a flat fee of 50 dollars plus 20 dollars for each day rented. Write an expression for the total cost using the distributive property.

• 20d + 50

• 50d + 20

• 50 + 10d

• 50 + 20d

10. If you have the expression 9m + 12n, what is the factored form of this expression?

• (3m + 12n)

• 9(m + 4n)

• 3(2m + 6n)

• 3(3m + 4n)