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

The correct steps are 1. Distributive property,2. Combine like terms,3. Addition property of equality, and 4. Division property of equality. The correct option is B.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

7x - ½ ( 8x+ 2 ) = 6 Distribute the -½

7x - 4x - 1 = 6 Combine like terms

3x - 1 = 6 Add 1 on both sides

3x = 7 Divide 3 on both sides

x = 7/3

Therefore, the correct steps are 1. Distributive property,2. Combine like terms,3. Addition property of equality, and 4. Division property of equality. The correct option is B.

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