Question

Select all of the equations below that are equivalent to:

16 + m = 8

Use properties of equality.

Answer 1

All of them

Explanation:

We can start from the top left.

To get from 16 + m to 16 + m - 2 on the left side of the equation, we can subtract 2 from 16 + m. Using the subtraction property of equality, we then must also subtract 2 from the right side. Doing this, we get

16 + m - 2 = 8 - 2

16 + m - 2 = 6

This matches up with the equation given

Next, for the top right equation, we can see that to get from 16 + m to 16 + m - 3, we must subtract 3. We can do this to both sides to get

16 + m - 3 = 8 - 3 = 5

This matches up with the equation

For the bottom left equation, we can subtract 5 from both sides to get

16 + m - 5 = 8 - 5 = 3

This matches up

For the bottom right equation, we can subtract 6 from both sides to et

16 + m - 6 = 8 - 6 = 2

This also matches up