Question

Question 1
A)What number should be added to both sides of the equation x−7=1 to solve for the value of x?(1 point)
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Question 2
A)What is the solution of the equation x−7=1?(1 point)
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Question 3
A)What number should be added to both sides of the equation x − 78 = −5 to find the value of x?(1 point)
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Question 4
A)What is the value of x in the equation x + 0.97 = −2?(1 point)
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Question 5
A)What is the solution of the equation x − 94 = −38?(1 point)
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Answers

GPT-4o mini
Let's solve each question step by step:

**Question 1**
A) To solve the equation \( x - 7 = 1 \), you should add 7 to both sides of the equation.

**Question 2**
A) Adding 7 to both sides gives:
\[ x - 7 + 7 = 1 + 7 \]
So, \( x = 8 \).

**Question 3**
A) To find the value of x in the equation \( x - 78 = -5 \), you should add 78 to both sides of the equation.

**Question 4**
A) To solve \( x + 0.97 = -2 \), you subtract 0.97 from both sides:
\[ x = -2 - 0.97 \]
This gives:
\[ x = -2.97 \]

**Question 5**
A) To solve the equation \( x - 94 = -38 \), you add 94 to both sides:
\[ x - 94 + 94 = -38 + 94 \]
So:
\[ x = 56 \].

Here are the answers in brief:
1. 7
2. 8
3. 78
4. -2.97
5. 56
m
Give me all the answers in order.
GPT-4o mini
Sure! Here are all the answers in order:

1. 7
2. 8
3. 78
4. -2.97
5. 56
m
Question 5
A)What is the solution of the equation x − 9/4 = −3/8?(1 point)
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GPT-4o mini
To solve the equation \( x - \frac{9}{4} = -\frac{3}{8} \), you need to add \(\frac{9}{4}\) to both sides:

\[
x - \frac{9}{4} + \frac{9}{4} = -\frac{3}{8} + \frac{9}{4}
\]

Now, we need to convert \(\frac{9}{4}\) to a fraction with a denominator of 8:

\[
\frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8}
\]

Now we can rewrite the equation:

\[
x = -\frac{3}{8} + \frac{18}{8}
\]

Combine the fractions:

\[
x = \frac{-3 + 18}{8} = \frac{15}{8}
\]

So, the solution to the equation \( x - \frac{9}{4} = -\frac{3}{8} \) is:

**Answer:** \( \frac{15}{8} \)

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