Extended Algebra Extended Algebra Topics Day 4Topics Day 4

Math 7Math 7

EXPRESSIONS EQUATIONSEXPRESSIONS EQUATIONS

We have been dealing primarily with We have been dealing primarily with algebraic expressionsalgebraic expressions. .

We will now work with We will now work with equations.equations.

What’s the difference?What’s the difference? Expressions Expressions will be will be set equal toset equal to a number. Thus a number. Thus you can now find the value of “x”.you can now find the value of “x”.

EQUATIONS WE ALREADY EQUATIONS WE ALREADY KNOW HOW TO SOLVEKNOW HOW TO SOLVE

One-Step Equations (only one step is One-Step Equations (only one step is required…use inverse operations)required…use inverse operations)

Two-Step Equations (two steps are Two-Step Equations (two steps are required to solve…use inverse required to solve…use inverse operations)operations)

MULTI-STEP EQUATIONSMULTI-STEP EQUATIONS

We will now learn how to solve We will now learn how to solve Multi-Step EquationsMulti-Step Equations

1.1. Distribute when necessaryDistribute when necessary

2.2. Combine like terms on each side of Combine like terms on each side of equal signequal sign

3.3. Use inverse operations to solve the Use inverse operations to solve the remainder of the equationremainder of the equation

4.4. Check your answerCheck your answer

ExamplesExamples

3x + 2 + 2x + 8 = 403x + 2 + 2x + 8 = 40

6x – 5 – 2x + 7 = -106x – 5 – 2x + 7 = -10

ExamplesExamples

11x – 5 – 14x – 6 = -2611x – 5 – 14x – 6 = -26

3(x – 4) + 2x +10 = 38

ExamplesExamples

4x – 5 + 2(3x + 4) – 2x = 674x – 5 + 2(3x + 4) – 2x = 67

5x + 7 – 8x – 3 + 3(2x – 4) = -145x + 7 – 8x – 3 + 3(2x – 4) = -14

QUESTIONS?QUESTIONS?

HOMEWORK!HOMEWORK!

QUIZ TOMORROW….DON’T FORGET!QUIZ TOMORROW….DON’T FORGET!