Question

Leena wants to simplify the following expression.

4(3p + 1) + 3(p − 1)

Which option has the correct steps listed out for simplifying the expression?

Answer 1

A 1) 4 (3p) + 4 (1) + 3 (p) + 3 (−1) using distributive property of addition
2) 12p + 4 + 3p − 3 simplifying
3) 12p + 3p + 4 − 3 using commutative property of addition
4) (12 + 3) p + 1 using distributive property of addition
5) 15p + 1 simplifying

B 1) 4 + 3p + 1 + 3 + p − 1 using distributive property of addition
2) 3p + p + 4 + 1 + 3 − 1 using commutative property of addition
3) p (3 + 1) + 4 + 1 + 3 − 1 using distributive property of addition
4) 4p + 7 simplifying

C 1) 12p + 1 + 3p − 1 using distributive property of addition
2) 12p + 3p + 1 + 1 simplifying
3) (12 + 3) p + 1 + 1 using commutative property of addition
4) 15p + 2 simplifying

D 1) 4 + 3p + 1 + 3p + 3 (−1) using distributive property of addition
2) 3p + 3p + 4 + 1 − 3 simplifying
3) (3 + 3) p + 2 using commutative property of addition
4) 6p + 2 simplifying
5) 8p simplifying

Answer 2

Use the distributive property. Only one the 4 choices uses it correctly.

Answer 3

I'm sorry, I'm a little unfamiliar with the distributive property. Can you narrow it down for me?

Answer 4

a(b+c)=ab+ac

Answer 5

Is it A? @nitz

Answer 6

@mathstudent55 are you online? :( @hartnn if you could help out that'd be great!

Answer 7

yes, I'm here

Answer 8

I'm just still stuck, I can't seem to get this.

Answer 9

Yes, A is correct because it's the only one that uses the distributive property correctly.

Answer 10

Ask your question

Answer 11

I thought it was A, but I wasn't sure.

Answer 12

Thank you so much!