Question

Drag a statement or reason to each box to complete this proof.

If −3(x+8)=−21, then x=−1.

Answer 1

1. -3(x + 8) = -21

2. Division Property of Equality

3. x + 8 = 7

4. Subtraction Property of Equality

Answer 2

Answers:

1) -3(x + 8) = -21

2) Division Property of Equality

3) x + 8 = 7

4) Subtraction Property of Equality

Reasoning:

You are already given the equation, so that will be #1 in the Given.

#2 shows both sides being divided by -3, so you will put the Division Property of Equality.

#3 shows the Division Property after it is carried out, so you will put the equation after the division is done.

#4 shows you are subtracting 8 from both sides, so put the Subtraction Property of Equality.