Question

Select the action you would use to solve x - 3 = 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Propertv: Multiplication property of equality

Answer 1

Oh! THERES also an f :property:%20Subtraction%20property%20of%20equality ignore the 20% but is f one of them?

Answer 2

To solve the equation \( x - 3 = 12 \), you would select the following action:

**A. Action: Add 3 to both sides.**

Then, the justified property would be:

**D. Property: Addition property of equality.**

So, the correct selections are A and D.

Answer 3

Yes, the *Subtraction Property of Equality* is relevant here as well. Here's how it applies:

When you have the equation \( x - 3 = 12 \), you can think of it as isolating \( x \) using subtraction. If you were to rearrange the equation:

1. You could subtract 12 from both sides to think about it as \( x - 3 = 12 \) and then converting it to another form.

However, this is less direct for the current equation. The preferred move from \( x - 3 = 12 \) is adding 3 to both sides (thus using the Addition Property of Equality, as previously mentioned).

Since **F. Property: Subtraction property of equality** does not apply directly to solving \( x - 3 = 12 \), it would not justify the action of adding 3. Thus, for this specific equation, A (adding 3) and D (Addition Property of Equality) are the best options without needing F.

In summary, for solving \( x - 3 = 12 \):
- A. Add 3 to both sides (correct action).
- D. Addition property of equality (justification for the action).

F is not an applicable justification for this particular equation.