Steps to Solve a Multi-Step Equation Quick Check

Question

4 of 54 of 5 Items
Question
Samuel is solving an equation for y
. His first step is to add 7 to both sides. Which equation is he solving?(1 point)
Responses

2y + 15 = 7
2 y plus 15 equals 7

2y − 15 = 7
2 y minus 15 equals 7

2y − 7 = 15
2 y minus 7 equals 15

2y + 7 = 15
2 y plus 7 equals 15
Skip to navigation

Answer 1

To determine which equation Samuel is solving when he adds 7 to both sides, we can analyze each option:

1. 2y + 15 = 7: If we subtract 15 from both sides, we get 2y = 7 - 15, which simplifies to 2y = -8. This equation does not require adding 7 to both sides.

2. 2y − 15 = 7: If we add 15 to both sides, we get 2y = 7 + 15, which simplifies to 2y = 22. This equation also does not fit.

3. 2y − 7 = 15: If we add 7 to both sides, we get 2y = 15 + 7, which simplifies to 2y = 22. This is a correct step according to the operation performed.

4. 2y + 7 = 15: If we subtract 7 from both sides, we get 2y = 15 - 7, which simplifies to 2y = 8. This equation does not need the addition of 7.

The only equation where Samuel's first step of adding 7 makes sense is 2y − 7 = 15. Thus, the correct answer is:

2y − 7 = 15