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Select the statement that is true for solving the equation x + 18 = 32(1 point)

Responses

Add 18 to both sides of the equal sign. x = 50.
Add 18 to both sides of the equal sign. x = 50.

Add 18 to both sides of the equal sign. x = 14.
Add 18 to both sides of the equal sign. x = 14.

Subtract 18 from both sides of the equal sign. x = 14.
Subtract 18 from both sides of the equal sign. x = 14.

Subtract 18 from both sides of the equal sign. x = 50.
Subtract 18 from both sides of the equal sign. x = 50.
Question 2
Select the statement that is true for solving the equation x - 12 = 15(1 point)
Responses

Subtract 12 from both sides of the equal sign. x = 3.
Subtract 12 from both sides of the equal sign. x = 3.

Subtract 12 from both sides of the equal sign. x = 27.
Subtract 12 from both sides of the equal sign. x = 27.

Add 12 to both sides of the equal sign. x = 3.
Add 12 to both sides of the equal sign. x = 3.

Add 12 to both sides of the equal sign. x = 27.

1 answer

Let's solve each equation step-by-step.

Question 1: Solve the equation \( x + 18 = 32 \)

To isolate \( x \), we need to subtract 18 from both sides.

  1. Start: \( x + 18 = 32 \)
  2. Subtract 18 from both sides: \[ x + 18 - 18 = 32 - 18 \] This simplifies to: \[ x = 14 \]

The correct statement for Question 1 is:

  • Subtract 18 from both sides of the equal sign. x = 14.

Question 2: Solve the equation \( x - 12 = 15 \)

To isolate \( x \), we need to add 12 to both sides.

  1. Start: \( x - 12 = 15 \)
  2. Add 12 to both sides: \[ x - 12 + 12 = 15 + 12 \] This simplifies to: \[ x = 27 \]

The correct statement for Question 2 is:

  • Add 12 to both sides of the equal sign. x = 27.

Summary of Correct Responses:

  1. Subtract 18 from both sides of the equal sign. x = 14. (for Question 1)
  2. Add 12 to both sides of the equal sign. x = 27. (for Question 2)