This document provides background information on transforming equations and solving one-step equations using addition and subtraction. It explains that if the same number is added to or subtracted from both sides of an equation, the resulting equations will be equal. Examples are provided of solving equations by adding or subtracting the same number from both sides to isolate the variable.

1. Section 3.1 Transforming Equations

2. A little background information: Two soccer teams are tied at half time: 2 to 2 2 = 2 If each team scores 3 goals in the next half, the score will now be tied. 2 + 3 = 2 + 3 Addition Property of Equality If the same number is added to equal numbers, the sums are equal.

3. A little more background info…. Two sporting goods store charge $36 for a soccer ball. 36 = 36 If during a spring sale, each store reduces the price by $5, both stores will be charging the same price. 36 -5 = 36 -5 If the same number is subtracted from equal numbers, the differences are equal.

4. Solving one-step equations using addition Solve x – 8 = 17 Copy the equation Add 8 to both sides Simplify Check our work! x – 8 = 17

5. Practice x – 3 = 5 t – 2 =7

6. Solving one-step equations using subtraction Solve -5 = n + 13 Copy the equation Subtract 13 from both sides Simplify Check our work! -5 = n + 13

7. Practice z + 5 = 4 -8 + t = = -6