Distributive Property

Algebra
Distributive Property

Objectives

Students will be able to:

• Explain what is distributive property

• Simplify expressions using the distributive property

• Apply the distributive property to solve real-life problems
  

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Solve the following 6(2x + 3)

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Solve the following 3x(5 - 3)

Open Ended

In your own words, explain what is the distributive property (law).

What is Distributive Property?

The distributive property allows us to take a factor and distribute it to each member of the group of things that have been added or subtracted. Instead of multiplying the factor by the group as a whole, we can distribute it to be multiplied by each member of the group individually.

Poll

How confident are you about understanding the distributive property?

• Very Confident [Easy]

• Somewhat Confident [Average]

• Not So Confident [Hard]

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Using the distributive law, solve the following

3(x + 4)

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Using the distributive law, solve the following

2(x + 3)

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Solve the following 5(x + 7)

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Using the distributive law, solve the following

6(y + 3)

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Using the distributive law, solve the following

9(p + 5)

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Using the distributive law, solve the following

2(x - 3)

Poll

How confident are you about understanding the distributive property?

• Very Confident [Easy]

• Somewhat Confident [Average]

• Not So Confident [Hard]

Multiple Choice

Using the distributive property, select the correct solution for the following

5(a + 6)

• 5a + 6

• 5a - 6

• 5a + 30

• 5a - 30

Multiple Choice

Using the distributive property, select the correct solution for the following

2(c - 8)

• 2c - 16

• 2c + 16

• 2c + 8

• 2c - 8

Multiple Choice

Using the distributive property, select the correct solution for the following

4(p - 6)

• 4p + 6

• 4p - 6

• 4p - 24

• 4p + 24

Multiple Choice

Using the distributive property, select the correct solution for the following

3(2c - 5)

• 3c + 5

• 6c - 5

• 6c - 15

• 3c + 15

Multiple Choice

Using the distributive property, select the correct solution for the following

5(2x - 6)

• 10x - 30

• 2x - 6

• 10x + 6

• 2x - 30

Solve the following

A local store is offering a deal on bundles of notebooks. Each bundle contains 𝑥 notebooks, but there’s a $5 discount on each bundle. If you buy 3 bundles, how much would you pay altogether?

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Taylor buys art kits for her art class, with each kit priced at k dollars. She also adds a $3 brush to each kit. If she buys 5 kits, what is her total cost after including the brush with each kit?

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A restaurant charges y dollars for a large pizza, but during a promotion, each pizza gets a $3 discount. If Kelly orders 4 pizzas, how much will she spend after the discount is applied to each pizza?

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Jenna buys flower bouquets for a party, and each bouquet costs p dollars. The florist charges an extra $2 for a custom wrapping on each bouquet. If Jenna buys 4 bouquets with custom wrapping, how much will she spend in total?

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Alex buys z packs of notebooks for a school event. Each pack costs $8, but he has a $2 discount per pack. If Alex buys 5 packs, what is the total amount he will pay after the discount?

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Liam buys popcorn bags for a movie night, with each bag costing s dollars. He also adds a $1 candy to each popcorn bag. If he buys 3 bags of popcorn, what is the total amount he’ll spend on popcorn and candy?

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Emma is buying gift bags for an event, and each bag costs g dollars. She also adds a $2 ribbon to each bag. If she buys 5 gift bags, write the simplified form after applying distributive property.

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Jaden buys concert tickets for a group, with each ticket costing t dollars. He receives a $3 discount per ticket for booking in bulk. If he buys 4 tickets, write the simplified form after applying distributive property.

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A group orders meals at a restaurant where each meal costs m dollars, and they add a $5 dessert to each meal. If they order 3 meals, write the simplified form after applying distributive property.

Poll

How confident are you about understanding the distributive property?

• Very Confident [Easy]

• Somewhat Confident [Average]

• Not So Confident [Hard]

Open Ended

Can you briefly explain why you selected your answer in the previous question?