Question

Kelsey solved the following equation:

7x − one over two (8x + 2) = 6

Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3

Which of the following has all of the correct justifications Kelsey used to solve this equation?
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality

Answer 1

starting point:

7x − (1/2)(8x + 2) = 6

notice how they multiplied the 1/2 across the parentheses (8x + 2) to get to step 1. what property is this?

notice how they combined 7x - 4x = 3x to get to step 2, what property is this?

etc. keep going through the whole problem with this logic and you'll easily find the solution.