Distributive Property Practice Problems

The video tutorial explains the distributive property in algebra, demonstrating how to rewrite expressions as sums or differences of products. It provides four examples, showing step-by-step how to distribute numbers across terms within parentheses, including handling negative numbers. The tutorial emphasizes the equivalence of adding negatives to subtracting positives and vice versa, ensuring a clear understanding of simplifying expressions using the distributive property.

What is the distributive property formula for a(b + c)?

• a + b + c

• a(b) + a(c)

• a(b) - a(c)

• a(b - c)

Which of the following is equivalent to a(b - c) using the distributive property?

• a + b - c

• a - b - c

• a(b) + a(c)

• a(b) - a(c)

In the expression 3(x + 7), what is the result after applying the distributive property?

• 21x + 3

• 3x + 7

• 3x + 21

• 3 + 7x

In the expression 3(x + 7), what is the product of 3 and 7?

• 14

• 24

• 21

• 10

What is the simplified form of 2(x - 3) using the distributive property?

• 2x - 3

• 2x + 6

• 2x - 6

• 2 - 3x

What is the result of multiplying 2 by -3 in the expression 2(x - 3)?

• 3

• -3

• 6

• -6

How do you express -5(x + 8) using the distributive property?

• -5x + 8

• -5x + 40

• -5x - 40

• 5x - 40

In the expression -5(x + 8), what is the product of -5 and 8?

• -13

• 40

• 13

• -40

What is the result of -7(x - 9) after applying the distributive property?

• 7x - 63

• -7x + 63

• 7x + 63

• -7x - 63

What is the product of -7 and 9 in the expression -7(x - 9)?

• -63

• 16

• 63

• -16