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10 + X = -12(1 point) Responses 2 2 -2 -2 -22 -22 20 20 Question 2 x4=8 (1 point) Responses 2 2 32 32 12 12 4 4 Question 3 2X - 5 = 15(1 point) Responses 20 20 10 10 7 7 5 5 Question 4 -3x + 2 = 20(1 point) Responses -6 -6 6 6 7 7 -7 -7 Question 5 5x = -50(1 point) Responses 10 10 5 5 -10 -10 45

1 answer

Let's solve each equation step by step to find the correct answers.

Question 1: \(10 + X = -12\)
To isolate \(X\), subtract 10 from both sides:
\(X = -12 - 10\)
\(X = -22\)
Answer: -22

Question 2: \(x^4 = 8\)
To solve for \(x\), take the fourth root of both sides:
\(x = \sqrt[4]{8}\)
Since \(8 = 2^3\), we can rewrite it:
\(x = 2^{3/4} = 2^{0.75}\)
This simplifies approximately to \( \sqrt{2^3} \approx 1.681\), but the closest response is
Answer: 2 (since \(2^4 = 16\) which is greater, but the only answer in positive integers might be assumed. Here, none of the other responses are correct if taking precisely.)

Question 3: \(2X - 5 = 15\)
Add 5 to both sides:
\(2X = 15 + 5\)
\(2X = 20\)
Now divide both sides by 2:
\(X = 10\)
Answer: 10

Question 4: \(-3x + 2 = 20\)
Subtract 2 from both sides:
\(-3x = 20 - 2\)
\(-3x = 18\)
Now, divide both sides by -3:
\(x = -6\)
Answer: -6

Question 5: \(5x = -50\)
Divide both sides by 5:
\(x = \frac{-50}{5}\)
\(x = -10\)
Answer: -10

Now, here are the final answers for each question:

  1. -22
  2. 2
  3. 10
  4. -6
  5. -10