1.what is the correct reason for statement 2?
prove: 2(w + 6) + 4 = 2w + 16
statements reasons
1. 2(w + 6) + 4 1. given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. associative property
4. 2w + 16 4. addition

2.what is the correct reason for statement 2?
prove: 4 + 3x + (x ∙ 2) = 5x + 4
statements reasons
1. 4 + 3x + (x ∙ 2) 1. given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. addition
4. 5x + 4 4. commutative property

3.what is the correct reason for statement 3?
prove: (11m) ∙ 4 + m = 45m
statements reasons
1. (11m) ∙ 4 + m 1. given
2. 4 ∙ (11m) + m 2. commutative property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. commutative property
5. 45m 5. addition

4.what is the correct reason for statement 5?
prove: k + 4 + 6(1 + k) = 11k + 10
statements reasons
1. k + 4 + 6(1 + k) 1. given
2. k + 4 + (6+ 6k) 2. distributive property
3. k + (4 + 6) + 6k 3. associative property
4. k + 10 + 6k 4. addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. addition

5.select the correct reasons for statements 1 and 3 to complete the proof.
prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. multiplication
3. 3x + 2 • x • 11 = 25x 3. ?