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Which of the following should be done to both sides of the equation x + 11 = −17 to solve the value of x ? (1 point)

Responses

subtract 11
subtract 11

subtract 17
subtract 17

add 11
add 11

add 17

11 answers

To solve the equation \( x + 11 = -17 \), you should subtract 11 from both sides of the equation. This will isolate \( x \).

So, the correct response is:

subtract 11.

What is the solution of the equation x + 23 = 9 ?

To solve the equation \( x + 23 = 9 \), you need to isolate \( x \). You can do this by subtracting 23 from both sides:

\[ x + 23 - 23 = 9 - 23 \]

This simplifies to:

\[ x = 9 - 23 \]

Calculating the right side gives:

\[ x = -14 \]

So, the solution of the equation \( x + 23 = 9 \) is \( x = -14 \).

So what’s the answer

The solution to the equation \( x + 23 = 9 \) is \( x = -14 \).

Which of the following equations has a solution of −8 ?(1 point)
Responses

x + 3 = −11
x plus 3 equals negative 11

x − 10 = 2
x minus 10 equals 2

x − 8 = 0
x minus 8 equals 0

x − 4 = −12

To find which equation has a solution of \( x = -8 \), we can substitute \(-8\) into each equation.

  1. For \( x + 3 = -11 \): \[ -8 + 3 = -5 \quad (\text{not } -11) \]

  2. For \( x - 10 = 2 \): \[ -8 - 10 = -18 \quad (\text{not } 2) \]

  3. For \( x - 8 = 0 \): \[ -8 - 8 = -16 \quad (\text{not } 0) \]

  4. For \( x - 4 = -12 \): \[ -8 - 4 = -12 \quad (\text{is } -12) \]

The equation that has a solution of \( -8 \) is:

\( x - 4 = -12 \).

Which of the following should be done to both sides of the equation  x − 3.41 = −19  to solve the value of x ?(1 point)
Responses

subtract 3.41
subtract 3.41

subtract 19
subtract 19

add 3.41
add 3.41

add 19

To solve the equation \( x - 3.41 = -19 \), you should isolate \( x \) by adding \( 3.41 \) to both sides of the equation. This will give you:

\[ x - 3.41 + 3.41 = -19 + 3.41 \]

So the correct response is:

add 3.41.

Which of the following equations has a solution of  −1/2 ?(1 point)
Responses

x + 1 = 1/2
x plus 1 equals Start Fraction 1 over 2 End Fraction

x + 1/2 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x − 1 = −1/2
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

x − 1/2 = 1

To determine which equation has a solution of \( x = -\frac{1}{2} \), we can substitute \(-\frac{1}{2}\) into each equation.

  1. For \( x + 1 = \frac{1}{2} \): \[ -\frac{1}{2} + 1 = \frac{1}{2} \quad \text{(LHS: } \frac{1}{2} \text{, true)} \]

  2. For \( x + \frac{1}{2} = -1 \): \[ -\frac{1}{2} + \frac{1}{2} = -1 \quad \text{(LHS: } 0 \text{, not } -1) \]

  3. For \( x - 1 = -\frac{1}{2} \): \[ -\frac{1}{2} - 1 = -\frac{1}{2} \quad \text{(LHS: } -\frac{3}{2} \text{, not } -\frac{1}{2}) \]

  4. For \( x - \frac{1}{2} = 1 \): \[ -\frac{1}{2} - \frac{1}{2} = 1 \quad \text{(LHS: } -1 \text{, not } 1) \]

The equation that has a solution of \( x = -\frac{1}{2} \) is:

\( x + 1 = \frac{1}{2} \).