Algebra Help? True or False: (1/2)(2n + 2) + -2 = n

1. True or False: (1/2)(2n + 2) + -2 = n

2. True or False: (-5 + n) + (5 + -n) = 0

3. Simplify using your knowledge of properties. 2(a + 4) + -2a + -8

4. Simplify using your knowledge of properties. [(1/3)(3)](2 + -1 + 1)

5.


Choose the property which best justifies each step in the table. (Match)

(1/5) [(n + 5) + -n] (Given Example:)
A) =(1/5) [(5 + n) + -n]
B) =(1/5) [5 + (n + -n)]
C) =(1/5) [5 + 0]
D) =(1/5)(5)
E) =1

Match the Answers:
Additive
Commutative
Associative
Additive Identity
Multiplicative Inverse

1) 1/2(2n + 2) + -2 =
2n/2 + 2/2 - 2 =
n + 1 - 2 =
n = 1
so the answer is false

2) (-5 + n) + (5 + -n) =
-5 + 5 + n - n =
0 so true

3) 2(a + 4) + -2a + -8 =
2a + 8 - 2a - 8 =
0

4) [(1/3)(3)(2 + -1 + 1) =
1(2) =
2

5) a) commutative
b) associative
c) additive inverse
d) additive identity
e) multiplicative inverse