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?

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

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

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

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 1

I would say the first one, that seems to be how I would do it.

Answer 2

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

Answer 3

thanks:)