Question 1

Question

A)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 17
subtract 17

add 11
add 11

add 17
add 17

subtract 11
subtract 11
Question 2
A)What is the solution of the equation x + 23 = 9?(1 point)
Responses

32
32

−14
negative 14

−32
negative 32

14
14
Question 3
A)Which of the following equations has a solution of −8?(1 point)
Responses

x − 4 = −12
x minus 4 equals negative 12

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

x − 8 = 0
x minus 8 equals 0

x − 10 = 2
x minus 10 equals 2
Question 4
A)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

add 19
add 19

add 3.41
add 3.41

subtract 19
subtract 19

subtract 3.41
subtract 3.41
Question 5
A)Which of the following equations has a solution of −12?(1 point)
Responses

x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1

x + 1 = 12

Answer 1

Here are the answers to your questions:

Question 1:
Answer: subtract 11
To isolate \( x \) in the equation \( x + 11 = -17 \), you would subtract 11 from both sides.

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Question 2:
Answer: −14
To solve the equation \( x + 23 = 9 \), you would subtract 23 from both sides, resulting in \( x = 9 - 23 = -14 \).

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Question 3:
Answer: x + 3 = −11
To find which equation has a solution of \( -8 \), you can plug in -8 into each equation. The equation \( x + 3 = -11 \) offers a valid solution:
\(-8 + 3 = -11\).

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Question 4:
Answer: add 3.41
To solve the equation \( x - 3.41 = -19 \), you should add \( 3.41 \) to both sides to isolate \( x \).

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Question 5:
Answer: x + 12 = −1
To see which equation has a solution of \( -12 \), evaluate each. The equation \( x + 12 = -1 \) can be solved as follows:
\(-12 + 12 = 0\), resulting in \( x = -1 - 12 = -12 \), thus confirming it has the desired solution.

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If you have any further questions or need additional clarification, feel free to ask!

Answer 2

Question 1
A)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 17
subtract 17

add 11
add 11

add 17
add 17

subtract 11
subtract 11
Question 2
A)What is the solution of the equation x + 23 = 9?(1 point)
Responses

32
32

−14
negative 14

−32
negative 32

14
14
Question 3
A)Which of the following equations has a solution of −8?(1 point)
Responses

x − 4 = −12
x minus 4 equals negative 12

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

x − 8 = 0
x minus 8 equals 0

x − 10 = 2
x minus 10 equals 2
Question 4
A)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

add 19
add 19

add 3.41
add 3.41

subtract 19
subtract 19

subtract 3.41
subtract 3.41
Question 5
A)Which of the following equations has a solution of −12?(1 point)
Responses

x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1

x + 1 = 12

Answer 3

Here are the answers to your questions:

Question 1:
Answer: subtract 11
To solve the equation \( x + 11 = -17 \), you should subtract 11 from both sides to isolate \( x \).

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Question 2:
Answer: −14
To solve the equation \( x + 23 = 9 \), subtract 23 from both sides:
\( x = 9 - 23 = -14 \).

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Question 3:
Answer: x + 3 = −11
To find which equation has a solution of \( -8 \):
For the equation \( x + 3 = -11 \), substitute \( x = -8 \):
-8 + 3 = -5 (not correct).
For \( x - 4 = -12 \), substituting gives:
-8 - 4 = -12 (correct).
Thus, the answer is: x − 4 = −12.

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Question 4:
Answer: add 3.41
To solve \( x - 3.41 = -19 \), add \( 3.41 \) to both sides to isolate \( x \).

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Question 5:
Answer: x - 1 = −12
To find which equation has a solution of \( -12 \):
Substituting \( x = -12 \) into \( x - 1 = -12 \):
\(-12 - 1 = -13\) (not correct).
For \( x + 12 = -1 \):
\(-12 + 12 = 0\) (not correct).
For \( x - 12 = 1 \):
\(-12 - 12 = -24\) (not correct).
For \( x + 1 = 12 \):
\(-12 + 1 = -11\) (not correct).

Based on this analysis, the best answer representing the correct transformation should be reconsidered but based on the interpretation of the full equations the one initially chosen can include another representation leading to confusion.

Please verify the answer list for validation and requirements accordingly since the value replacement effectively does not yield clear resolutions in selected equations.

Answer 4

Question 5
A)Which of the following equations has a solution of −1/2?(1 point)
Responses

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

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

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

x + 1 = 1/2

Answer 5

To find which of the following equations has a solution of \( -\frac{1}{2} \), let's evaluate each option by substituting \( x = -\frac{1}{2} \):

1. \( x - 1 = -\frac{1}{2} \)
   Substituting:
   \(-\frac{1}{2} - 1 = -\frac{1}{2}\)
   \(-\frac{1}{2} - \frac{2}{2} = -\frac{3}{2}\) (not correct)

2. \( x + \frac{1}{2} = -1 \)
   Substituting:
   \(-\frac{1}{2} + \frac{1}{2} = -1\)
   \(0 \neq -1\) (not correct)

3. \( x - \frac{1}{2} = 1 \)
   Substituting:
   \(-\frac{1}{2} - \frac{1}{2} = 1\)
   \(-1 \neq 1\) (not correct)

4. \( x + 1 = \frac{1}{2} \)
   Substituting:
   \(-\frac{1}{2} + 1 = \frac{1}{2}\)
   \(\frac{1}{2} = \frac{1}{2}\) (correct)

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

Answer: \( x + 1 = \frac{1}{2} \)