1. Solve One-Step Addition and Subtraction Equations Section 6.1 Objective: To solve addition and subtraction equations https://www.brainpop.com/math/algebr a/equationswithvariables/

2. WHAT IS AN EQUATION? “Equation” sounds like a big complicated word, but it’s not. An equation is basically just like a balance scale - it shows two quantities are equal.

3. WHAT IS AN EQUATION? When you do something to one side of a balance, you must do the same to the other side to keep it balanced.

4. Vocabulary An __________ is a sentence stating that two quantities are equal. The value of a variable that makes an equation true is called the ________ of the equation.

5. Notes Remember, equations must always remain _______________. If you subtract the same number from each side of an equation, the two sides remain ______________. If you add the same number to each side of an equation, the two sides also remain equal.

6. Real-World Link Robyn had some video games, and then she bought 4 more games. She now has 10 games. This scenario can be described using the equation x + 4 = 10. 1. What does x represent in the equation? _______________________________________ _______________________________ 2. Write two different equations that are equivalent to x + 4 = 10 _______________________________________

7. Subtraction Property of Equality WordsThe Subtraction Property of Equality states that the two sides of an equation remain equal when you subtract the same number from each side. SymbolsIf a = b, then a – c = b - c

8. Examples 1. y + 6 = 9 2. x + 3 = 1 3. -3 = a + 4

9. Addition Property of Equality WordsThe Addition Property of Equality states that the two sides of an equation remain equal when you add the same number from each side. SymbolsIf a = b, then a + c = b + c

10. Examples 4. y – 3 = 4 5. r – 4 = 2 6. q – 8 = -9

11. Try it out 7. n + 6 = 8 8. 7 = y + 2 9. -7 = c – 6

12. Essential Question What are two methods for solving a real-world problem that can be represented by an equation? _____________________________________ _____________________________________ _____________________________________ _____________________________________ _____________________________________