1. Extended Algebra Topics Day 4 Math 7

2. EXPRESSIONS EQUATIONS We have been dealing primarily with algebraic expressions. We have been dealing primarily with algebraic expressions. We will now work with equations. We will now work with equations. What’s the difference? Expressions will be set equal to a number. Thus you can now find the value of “x”. What’s the difference? Expressions will be set equal to a number. Thus you can now find the value of “x”.

3. EQUATIONS WE ALREADY KNOW HOW TO SOLVE One-Step Equations (only one step is required…use inverse operations) One-Step Equations (only one step is required…use inverse operations) Two-Step Equations (two steps are required to solve…use inverse operations) Two-Step Equations (two steps are required to solve…use inverse operations)

4. MULTI-STEP EQUATIONS We will now learn how to solve Multi-Step Equations We will now learn how to solve Multi-Step Equations 1.Distribute when necessary 2.Combine like terms on each side of equal sign 3.Use inverse operations to solve the remainder of the equation 4.Check your answer

5. Examples 3x + 2 + 2x + 8 = 40 3x + 2 + 2x + 8 = 40 6x – 5 – 2x + 7 = -10 6x – 5 – 2x + 7 = -10

6. Examples 11x – 5 – 14x – 6 = -26 11x – 5 – 14x – 6 = -26 3(x – 4) + 2x +10 = 38

7. Examples 4x – 5 + 2(3x + 4) – 2x = 67 4x – 5 + 2(3x + 4) – 2x = 67 5x + 7 – 8x – 3 + 3(2x – 4) = -14 5x + 7 – 8x – 3 + 3(2x – 4) = -14

8. QUESTIONS? HOMEWORK! HOMEWORK! QUIZ TOMORROW….DON’T FORGET! QUIZ TOMORROW….DON’T FORGET!