Question

Identify the properties of equality that you should use to isolate the variable
in the equation
. Select all that apply.

subtraction property of equality

division property of equality

addition property of equality

multiplication property of equality

Answer 1

I can’t tell which to pick because the equation itself wasn’t included. Which properties you use depends on what operations are acting on the variable:

- If the variable has a constant added or subtracted (e.g., 3x + 5 = 11), use the addition/subtraction property of equality to eliminate that constant (subtract 5), then use the multiplication/division property to remove a coefficient (divide by 3).
- If the variable is being multiplied or divided (e.g., x/4 − 2 = 3), use addition/subtraction first (add 2), then use multiplication/division (multiply by 4).

So the correct choices will be:
- subtraction property of equality and division property of equality for equations like 3x + 5 = 11, or
- addition property of equality and multiplication property of equality for equations like x/4 − 2 = 3.

If you paste the specific equation, I’ll tell you exactly which properties to select.