Question

Name the property of step 1 in the following equation
6x - 5 = 7
6x - 5 + 5 = 7 + 5 (step 1)
6x = 12
6x/6 = 12/6 (step 2)
x = 2
*
1 point
Addition property of equality
subtraction property of equality
division property of equality
multiplication property of equality
Solve the equation
5x - 14 = 21
*
1 point
x = 35
x = 7
x = 7/5
x = 175
Which value of x makes the equation true?
80 - 2x = 100
*
1 point
x = 60
x = -60
x = 10
x = -10
Solve for x
x/3 + 63 = 60
*
1 point
x = 369
x = -9
x = 41
x = -1
What is the solution?
87 = 4x + 35
*
1 point
x = 30.5
x = 52
x = 13
x = 208

Answer 1

Let’s go through each question one by one:

1. **Name the property of step 1 in the following equation:**
- 6x - 5 = 7
- 6x - 5 + 5 = 7 + 5 (step 1)

The property used here is the **Addition property of equality**.

2. **Solve the equation:**
- 5x - 14 = 21

To solve for x:
\[
5x - 14 + 14 = 21 + 14 \implies 5x = 35
\]
\[
x = \frac{35}{5} = 7
\]

So, the answer is **x = 7**.

3. **Which value of x makes the equation true?**
- 80 - 2x = 100

Rearranging gives:
\[
-2x = 100 - 80 \implies -2x = 20
\]
Dividing by -2:
\[
x = \frac{20}{-2} = -10
\]

So, the answer is **x = -10**.

4. **Solve for x:**
- x/3 + 63 = 60

To solve for x:
\[
x/3 = 60 - 63 \implies x/3 = -3
\]
Multiplying both sides by 3:
\[
x = -3 \times 3 = -9
\]

So, the answer is **x = -9**.

5. **What is the solution?**
- 87 = 4x + 35

To solve for x:
\[
87 - 35 = 4x \implies 52 = 4x
\]
Dividing by 4:
\[
x = \frac{52}{4} = 13
\]

So, the answer is **x = 13**.

To summarize:
1. Addition property of equality
2. x = 7
3. x = -10
4. x = -9
5. x = 13