or

Question

Select all of the equations below that are equivalent to:

–8 = m + 14

Use properties of equality.

Answer 1

To find the equations that are equivalent to \(-8 = m + 14\), we can use properties of equality. Here are some equivalent forms of the equation:

1. Subtracting 14 from both sides: \[ -8 - 14 = m + 14 - 14 \] simplifies to \[ -22 = m \]

2. Adding \(m\) to both sides: \[ -8 + m = m + 14 + m \] simplifies to \[ -8 + m = 14 + m \] (This isn't a new equation but can be rearranged.)

3. Subtracting \(m\) from both sides: \[ -8 - m = m + 14 - m \] simplifies to \[ -8 - m = 14 \]

4. Rearranging the original equation: \[ m + 14 = -8 \]

5. Multiplying both sides by -1: \[ 8 = -m - 14 \]

Each of these equations is equivalent to the original equation. You can choose all of the derived equations based on the operations performed.

The equivalent forms include:

• \(m = -22\)
• \(-8 - m = 14\)
• \(14 + m = -8\)
• \(8 = -m - 14\)

Make sure to check your options against these derived forms!