Distributive Property and Expressions

Ms. Dietrich explains how to use the distributive property to simplify expressions. She provides two examples: simplifying 2(9 + 5k) and 5(3m + 2). The lesson emphasizes breaking down expressions into simpler parts and using multiplication to combine terms. The video concludes with a recap of the methods used.

What is the main focus of lesson 7.8?

• Using the distributive property to write equivalent expressions

• Solving quadratic equations

• Graphing inequalities

• Understanding linear functions

In the expression 2 times (9 + 5k), what is the result of distributing the 2?

• 9 + 10k

• 18 + 5k

• 9 + 5k

• 18 + 10k

How many kites are there when combining 5k and 5k?

• 5 kites

• 20 kites

• 15 kites

• 10 kites

What is the first step in breaking down the expression 5 times (3m + 2)?

• Add all the 2s together

• Add all the 3ms together

• Multiply 5 by 3m

• Multiply 5 by 2

What is the result of adding all the 2s in the expression 5 times (3m + 2)?

• 20

• 15

• 10

• 5

How many 3ms are there in the expression 5 times (3m + 2)?

• 3

• 15

• 10

• 5

What is the simplified form of 5 times (3m + 2) using the distributive property?

• 5m + 10

• 15m + 5

• 15m + 10

• 10m + 15

What is the result of multiplying 5 by 3 in the expression 5 times (3m + 2)?

• 20m

• 5m

• 10m

• 15m

What is the result of multiplying 5 by 2 in the expression 5 times (3m + 2)?

• 5

• 20

• 10

• 15

What is the equivalent expression for 2 times (9 + 5k) using the distributive property?

• 9 + 5k

• 9 + 10k

• 18 + 10k

• 18 + 5k