Question 1

Which property of equality is primarily used to isolate the variable in the equation $$-13 = x + 15$$?

Accepted Answer

Addition property of equality

Question 2

What is the solution to the equation $$-13 = x + 15$$?

Accepted Answer

$$x = -28$$

Question 3

After subtracting 15 from both sides of the equation $$-13 = x + 15$$, what is the resulting equation?

Accepted Answer

$$-28 = x$$

Question 4

How do you check if $$x = -28 is a $$solution to $$-13 = x + 15$$?

Accepted Answer

Substitute $$x = -28$$ into the equation and verify both sides are equal

Question 5

Which of the following steps correctly isolates $$x in $$the equation $$-13 = x + 15$$?

Accepted Answer

Subtract 15 from both sides

Question 6

If you substitute $$x = -28$$ into $$-13 = x + 15$$, what do you get?

Accepted Answer

$$-13 = -28 + 15$$

Question 7

Which of the following best describes the solution set for $$-13 = x + 15$$?

Accepted Answer

$$\{-28\}$$

Question 8

A chemist needs to adjust the temperature in a reaction chamber so that the final temperature is $$-13$$ degrees, and the chamber is currently $$15$$ degrees warmer than the target. What should the temperature adjustment $$x be$$?

Accepted Answer

$$x = -28$$

Question 9

Which of the following is a correct application of the addition property of equality to solve $$-13 = x + 15$$?

Accepted Answer

Add $$-15 to $$both sides

Question 10

If the equation $$-13 = x + 15$$ represents a financial loss of $$13$$ dollars after spending $$15$$ dollars, what is the original amount $$x$$?

Accepted Answer

$$x = -28$$

Question 11

Which step is NOT necessary when solving $$-13 = x + 15$$?

Accepted Answer

Multiplying both sides by $$x$$

Question 12

What is the value of $$x if$$ $$x + 15 = -13$$?

Accepted Answer

$$x = -28$$

Solving Linear Equations Using the Addition Property of Equality

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