Question

Use the distributive property to write an equivalent expression:

Example: 24n + 32 = 4 (6n+ 8)
(Look at the first expression. What factor goes into BOTH 24 and 32? (4 does!) So the number 4 goes on the outside of the parenthesis. 4 times what number will give me 24? (6 Does!). Then we do the same for 32...4 times what number gives me 32? (8 does!). Do you see the pattern? This means that both of these expressions are EQUIVALENT!
48x + 24

18n + 36

15 + 12k

Answer 1

1. 48x + 24= 24(2x + 1)

2. 18n + 36= 18(n + 2)

3. 15 + 12k= 3(5+4k)

Explanation:

1. What factor both goes into 24 and 48? 24 does!

so, 48x + 24= 24(2x + 1).

2. What factor both goes into 18 and 36? 18 does!

so, 18n + 36= 18(n + 2).

3. What factor both goes into 15 and 12? 3 does!

so, 15 + 12k= 3(5+4k).