Question

Statement 1.) 3(x+2)+1=8

Statement 2.) 3x+6+1=8
Statement 3.) 3x+7=8
Statement 4.) 3x=1
Statement 5.) x=1/3

Reason A. subtraction property of equality
Reason B. Combine like terms
Reason C. Distributive property
Reason D. Division property of equality


3. What is the correct reason for statement #2?
4. What is the correct reason for statement #3?
5. What is the correct reason for statement #4?
6. What is the correct reason for statement #5?

Answer 1

Answer: correct reason for statement #2-C

correct reason for statement #3-B

correct reason for statement #4-A

correct reason for statement #5-D

Explanation:

correct reason for statement #2-C

3(x+2)=3x+6 it is the distributive property

correct reason for statement #3-B

3x+6+1=3x+7 ,we are combining the like terms i.e. we have combined the constant term and 3x has been left as it is

correct reason for statement #4-A

3x+7=8 ⇒ 3x=8-7=1 it is the subtraction property of equality since we are subtracting by 7 on both sides

correct reason for statement #5-D

3x=1 ⇒ x=1/3 it is division property of equality since we are dividing by 3 on both sides