Let's solve each equation step by step:
Question 1:
Solve the equation \(X - 13 = 56\).
Add 13 to both sides:
\[X = 56 + 13 = 69\]
Answer: 69
Question 2:
Solve the equation \(15 + x = 31\).
Subtract 15 from both sides:
\[x = 31 - 15 = 16\]
Answer: 16
Question 3:
Solve the equation \(2x = 56\).
Divide both sides by 2:
\[x = \frac{56}{2} = 28\]
Answer: 28
Question 4:
To solve the equation \(x^2 = 30\) for \(x\), you need to take the square root of both sides. The options provided don't explicitly give the correct operation, but it seems like a misunderstanding of the question since none of the offered options (add 2, divide by 2, subtract 2, multiply by 2) are appropriate for finding the square root.
Answer: None of the provided options are correct. (The correct step would be “take the square root of both sides.”)
Question 5:
Solve the equation \(x^3 = 12\).
To find \(x\), we take the cube root of both sides:
\[x = \sqrt[3]{12} \approx 2.29\]
The options don't seem to directly show the cube root or the approximate value. Since \(3^3 = 27\) and \(2^3 = 8\), it's between 2 and 3. If we estimate the resulting values based on common calculations, you might get 9 if the cube of that number would approximate around 12, which is incorrect because \(9\) corresponds to \(3^3\).
The accurate value doesn't match any of the responses provided.
Answer: None of the provided options (36, 4, 9, 15) are correct, as the actual solution is \( \sqrt[3]{12} \approx 2.29\).
Feel free to ask if you need further clarifications or additional questions!