Core Connections: Course 3
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Core Connections: Course 3 View details
1. Section 8.1
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Exercise 10 Page 342

Practice makes perfect
We want to rewrite the given expression using the Distributive Property. 4x+8 To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms. 4x&= 2* 2* x 8&= 2* 2* 2 In this case, the GCF is 2* 2, or 4. We can write each term in the expression as a multiple of 4 and then factor the GCF out. Let's do it!
4x+8
4* x + 4* 2
4(x+2)
We are asked to rewrite the given expression using the Distributive Property. Let's start by rewriting the subtraction as adding the additive inverse. - 45-5x ↓ - 45+(- 5x) Now we can find the GCF of - 45 and - 5x. - 45&= - 5* 9 - 5x&= - 5* x In this case, the GCF is - 5. Let's write each term in the expression as a multiple of - 5 and then factor the GCF out.
- 45+(- 5x)
- 5* 9+(- 5* x)
- 5(9+x)
Let's consider the given expression. 7x-21 We want to rewrite the expression using the Distributive Property. We can start by finding the GCF of 7x and 21. 7x&= 7* x 21&= 7* 3 Since the GCF is 7, we can write each term in the expression as a multiple of 7 and then factor the GCF out. Let's do it!
7x-21
7* x-7* 3
7(x-3)