Simplifying Expressions with the Distributive Property

Why is the distributive property considered important in algebra?

• It is rarely used.

• It only applies to addition.

• It is used frequently throughout algebra.

• It simplifies multiplication.

What does the distributive property involve?

• Neither multiplication nor addition

• Both multiplication and addition

• Only addition

• Only multiplication

What is the result of 5 times (2 + 1) using the distributive property?

• 5 * (2 + 1)

• 5 * 2 + 1

• 5 * 2 + 5 * 1

• 5 + 2 + 1

What is a common mistake students make with the distributive property?

• Forgetting to multiply

• Forgetting to add

• Forgetting to distribute the negative sign

• Forgetting to subtract

What is the result of 4 times (6 - 2) using the distributive property?

• 4 + 6 - 2

• 4 * 6 - 4 * 2

• 4 * (6 - 2)

• 4 * 6 - 2

How do you handle a negative sign outside the parentheses in the distributive property?

• Distribute it to both terms inside the parentheses

• Ignore it

• Only distribute it to the second term

• Only distribute it to the first term

What is the simplified form of -10 times (m + 4) using the distributive property?

• -10m + 4

• -10m - 40

• -10 + 4m

• -10m + 40

What is the result of 8 times (7 - y) using the distributive property?

• 8 * 7 - y

• 8 * (7 - y)

• 8 * 7 - 8 * y

• 8 + 7 - y

How do you simplify 4x * y^3 * (x^4 * y - 5x) using the distributive property?

• 4x^4 * y^4 - 5x

• 4x^5 * y^4 - 20x^2 * y^3

• 4x^4 * y^3 - 5x

• 4x^5 * y - 5x

How would you write the total cost of tickets for 4 adults and 8 children, each costing $15, using the distributive property?

• 15 * (4 + 8)

• 15 * 4 + 8

• 15 + 4 * 8

• 15 * 4 * 8