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

7 answers

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 \( x + 19 = -5 \).

its the biggest

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!

what about -10 it seems the lowest

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!

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

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!

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