Question

For which equations is 8 the solution? Select the four that apply.

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(4 points)
Responses

5x=40
5 x is equal to 40

2x=4
2 x is equal to 4

x−3=5
x minus 3 is equal to 5

x+4=12
x plus 4 is equal to 12

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

x2=16
x over 2 is equal to 16

c4=2
c over 4 is equal to 2

x−2=10

Answer 1

To determine which equations have 8 as the solution, let's solve each equation one by one:

1. **5x = 40**
- To solve for x, divide both sides by 5:
- \( x = \frac{40}{5} = 8 \)
- **(8 is a solution)**

2. **2x = 4**
- To solve for x, divide both sides by 2:
- \( x = \frac{4}{2} = 2 \)
- **(8 is NOT a solution)**

3. **x - 3 = 5**
- To solve for x, add 3 to both sides:
- \( x = 5 + 3 = 8 \)
- **(8 is a solution)**

4. **x + 4 = 12**
- To solve for x, subtract 4 from both sides:
- \( x = 12 - 4 = 8 \)
- **(8 is a solution)**

5. **x + 6 = 2**
- To solve for x, subtract 6 from both sides:
- \( x = 2 - 6 = -4 \)
- **(8 is NOT a solution)**

6. **x² = 16**
- To solve for x, take the square root of both sides:
- \( x = 4 \) or \( x = -4 \)
- **(8 is NOT a solution)**

7. **c/4 = 2**
- To solve for c, multiply both sides by 4:
- \( c = 2 \times 4 = 8 \)
- **(8 is a solution)**

8. **x - 2 = 10**
- To solve for x, add 2 to both sides:
- \( x = 10 + 2 = 12 \)
- **(8 is NOT a solution)**

The equations for which 8 is the solution are:

- **5x = 40**
- **x - 3 = 5**
- **x + 4 = 12**
- **c/4 = 2**

Thus, the four equations that have 8 as a solution are:

- 5x = 40
- x - 3 = 5
- x + 4 = 12
- c/4 = 2