Question

One- & Two-Step Equations Unit Test 1 of 151 of 15 Items Question Which of the following four equations has the solution of the lowest value?(1 point) Responses x + 25 = 2 x plus 25 equals 2 x − 7 = 28 x minus 7 equals 28 x − 6 = −16 x minus 6 equals negative 16 x + 19 = −5

Answer 1

its the biggest

Answer 2

what about -10 it seems the lowest

Answer 3

its the highest out of all the negitives wth do you mean

Answer 4

To determine which equation has the solution of the lowest value, we need to solve each equation for \( x \).

1. **Equation 1:** \( x + 25 = 2 \)
\[
x = 2 - 25
\]
\[
x = -23
\]

2. **Equation 2:** \( x - 7 = 28 \)
\[
x = 28 + 7
\]
\[
x = 35
\]

3. **Equation 3:** \( x - 6 = -16 \)
\[
x = -16 + 6
\]
\[
x = -10
\]

4. **Equation 4:** \( x + 19 = -5 \)
\[
x = -5 - 19
\]
\[
x = -24
\]

Now, we have the solutions:
- Equation 1: \( x = -23 \)
- Equation 2: \( x = 35 \)
- Equation 3: \( x = -10 \)
- Equation 4: \( x = -24 \)

Among these, the lowest value is **\( -24 \)** from the fourth equation, \( x + 19 = -5 \).

So, the equation with the solution of the lowest value is **\( x + 19 = -5 \)**.

Answer 5

Let's double-check the calculations and identify which equation gives the lowest solution correctly.

Here are the equations being solved:

1. \( x + 25 = 2 \)
- Rearranging gives:
\[
x = 2 - 25
\]
\[
x = -23
\]

2. \( x - 7 = 28 \)
- Rearranging gives:
\[
x = 28 + 7
\]
\[
x = 35
\]

3. \( x - 6 = -16 \)
- Rearranging gives:
\[
x = -16 + 6
\]
\[
x = -10
\]

4. \( x + 19 = -5 \)
- Rearranging gives:
\[
x = -5 - 19
\]
\[
x = -24
\]

Now let's summarize the solutions:
- Equation 1: \( x = -23 \)
- Equation 2: \( x = 35 \)
- Equation 3: \( x = -10 \)
- Equation 4: \( x = -24 \)

To determine which is lowest:
- **-23** (Equation 1)
- **35** (Equation 2)
- **-10** (Equation 3)
- **-24** (Equation 4)

Therefore, the solutions in numerical order are:
- -24 (Lowest)
- -23
- -10
- 35 (Highest)

The equation with the lowest solution is indeed \( x + 19 = -5 \) with a solution of **-24**.

If there was any confusion in your answers about which was the biggest, it's confirmed that **35** from \( x - 7 = 28 \) is the highest value, while **-24** is indeed the lowest value.

So to clarify:
- The equation with the solution of the **lowest** value is **\( x + 19 = -5 \)**, which equals **-24**.
- The equation with the solution of the **highest** value is **\( x - 7 = 28 \)**, which equals **35**.

Thank you for your patience!

Answer 6

Let’s reevaluate the solutions properly:

Here are the equations again and their solutions:

1. **Equation 1:** \( x + 25 = 2 \)
\[
x = 2 - 25
\]
\[
x = -23
\]

2. **Equation 2:** \( x - 7 = 28 \)
\[
x = 28 + 7
\]
\[
x = 35
\]

3. **Equation 3:** \( x - 6 = -16 \)
\[
x = -16 + 6
\]
\[
x = -10
\]

4. **Equation 4:** \( x + 19 = -5 \)
\[
x = -5 - 19
\]
\[
x = -24
\]

Now to summarize the solutions we've calculated:
- **Equation 1:** \( x = -23 \)
- **Equation 2:** \( x = 35 \)
- **Equation 3:** \( x = -10 \)
- **Equation 4:** \( x = -24 \)

Now, let's compare these values:
- \( -23 \) (from Equation 1)
- \( 35 \) (from Equation 2)
- \( -10 \) (from Equation 3)
- \( -24 \) (from Equation 4)

Among these:
- The lowest value is indeed **-24** (from Equation 4, \( x + 19 = -5 \)).
- The next lowest is **-23** (from Equation 1).
- After that is **-10** (from Equation 3).
- The highest value is **35** (from Equation 2).

### Conclusion
- The lowest value of \( x \) is **-24**.
- The equation with the solution of the lowest value is **\( x + 19 = -5 \)**.

### Note
So, while **-10** is indeed lower than **-23**, it is not lower than **-24**, which is why **-24** is the lowest solution overall. Thank you for bringing it up, and I hope this clarifies the solution!

Answer 7

I apologize for the confusion in my previous messages. Let's clarify the situation regarding the values of \( x \) we calculated:

Here are the solutions again, clearly presented with respect to their value:

1. **1st Equation:** \( x + 25 = 2 \)
- Solution: \( x = -23 \)

2. **2nd Equation:** \( x - 7 = 28 \)
- Solution: \( x = 35 \)

3. **3rd Equation:** \( x - 6 = -16 \)
- Solution: \( x = -10 \)

4. **4th Equation:** \( x + 19 = -5 \)
- Solution: \( x = -24 \)

Now, let's list the values:
- **-23** (from the 1st equation)
- **35** (from the 2nd equation)
- **-10** (from the 3rd equation)
- **-24** (from the 4th equation)

### Comparison of All Values:
- The **highest negative value** is **-10**.
- Then comes **-23**.
- The **lowest value** (most negative) is **-24**.
- The highest value overall is **35**.

So, in terms of negativity:
- **-10** is actually correct as the highest among the negative solutions.
- **-24** is the lowest (most negative) solution.

Thank you for your patience, and I appreciate your feedback. Please let me know if you have further questions or if anything else is unclear!