For which equations is 8 the solution? Select the four that apply.(4 points)

Question

Responses

x2=16
x over 2 is equal to 16

x−2=10
x minus 2 is equal to 10

3x=24
3 x is equal to 24

x8=1
x over 8 is equal to 1

x+2=10
x plus 2 is equal to 10

2x=4
2 x is equal to 4

x−4=4
x minus 4 is equal to 4

x+6=2
x plus 6 is equal to 2

Answer 1

To find which equations have 8 as the solution, we can substitute \(x = 8\) into each equation and see if they hold true.

1. \(x^2 = 16\)
   \(8^2 = 64 \) (Not true)

2. \(\frac{x}{2} = 16\)
   \(\frac{8}{2} = 4\) (Not true)

3. \(x - 2 = 10\)
   \(8 - 2 = 6\) (Not true)

4. \(\frac{x}{8} = 1\)
   \(\frac{8}{8} = 1\) (True)

5. \(x + 2 = 10\)
   \(8 + 2 = 10\) (True)

6. \(2x = 4\)
   \(2 \cdot 8 = 16\) (Not true)

7. \(x - 4 = 4\)
   \(8 - 4 = 4\) (True)

8. \(x + 6 = 2\)
   \(8 + 6 = 14\) (Not true)

The equations that have 8 as a solution are:

• \(\frac{x}{8} = 1\)
• \(x + 2 = 10\)
• \(x - 4 = 4\)

Therefore, the correct responses are:

1. \(x \div 8 = 1\)
2. \(x + 2 = 10\)
3. \(x - 4 = 4\)
4. (None of the options match this, so the selection would end here, unless one option was repeated or another equivalent form was provided.)

The selected three responses are:

• \(\frac{x}{8} = 1\)
• \(x + 2 = 10\)
• \(x - 4 = 4\)

If there was an intention of including one more, it might be the fourth response implying its equivalent form instead of the equations.