Section 3.3 Solving Equations with Distribution Mr. Beltz & Mr. Sparks.

Slides:

Advertisements

Similar presentations

Chapter 3 – Solving Linear Equations 3.2 – Solving Equations Using Multiplication and Division.

Advertisements

Section 3.2 Solving Equations Using Multiplication & Division Mr. Beltz & Mr. Sparks.

Example 2 4 m 8 m 5m 12 m x y.

Solving Linear Equations

Section 3.3 Solving Multi-Step Equations **More than one operation to isolate the variable**

Algebraic Properties: The Rules of Algebra Be Cool - Follow The Rules!

ALGEBRA REVIEW QUESTIONS. = balance = It is important to understand that every equation is a balancing situation. Everything on the left of the equal.

© 2007 by S - Squared, Inc. All Rights Reserved.

Solving Equations. Inverse Operations  When solving equations algebraically, use the inverse (opposite) operation that is displayed to determine what.

Section 3.4 Solving Equations with Variables on Both Sides Mr. Beltz & Mr. Sparks.

Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.

Lesson 2.8 Dividing Real Numbers Mr. Beltz & Mr. Sparks.

Chapter 1 Review College Algebra Remember the phrase “Please Excuse My Dear Aunt Sally” or PEMDAS. ORDER OF OPERATIONS 1. Parentheses - ( ) or [ ] 2.

Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

Section 2-4 Reasoning with Properties from Algebra.

Section 3.6 Solving Decimal Equations Mr. Beltz & Mr. Sparks.

Practice 2.2 Solving Two Step Equations.

Lesson 3.3 Solving Multi-step Equations Mr. Beltz & Mr. Sparks.

Mr. Sparks’ Color Code Red= RECORD Green= General Information [not necessary to record, but very helpful. Blue = CHOOSE TWO [pick whichever two you want.

Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites) Multiplication.

Section 3.5 Solving Equations with Distribution on Both Sides Mr. Beltz & Mr. Sparks.

One Step Equations and Inequalities Review

8.2 Solving Two Step Equations. 2 more Properties of Equality Addition Property of Equality If a=b Then a+c =b+c Subtraction Property of Eqaulity If a=b.

Lesson 1.  Example 1. Use either elimination or the substitution method to solve each system of equations.  3x -2y = 7 & 2x +5y = 9  A. Using substitution.

Solving Equations By Adding or Subtracting. Key Terms Inverse Operations: –You can use inverse operations to solve equations. –“Undo” each other by performing.

Do Now: Please finish word wall before you start equations

Warm-ups -6 +4x -4x x = -3 x – 2(3 – 2x) = 19 x x = 19

Objectives: Solve equations by multiplying and dividing Write an equation that expresses a problem solving situation Section 2-1 Solve one-step Equations.

SECTION 3-3 Solving Algebraic Equations: Multiplication and Division.

Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.

3. 3 Solving Equations Using Addition or Subtraction 3

Section 3.2 Solving Equations Using Multiplication and Division

Solving Equations involving Fractions

My Equations Booklet.

Problem Solving with Two-Step Equations

2-1 Solving 1 step equations

Solving Multi-Step Equations

Students will solve two step equations (12-4).

Solving Two-Step Equations

Solving 1-Step Integer Equations

Ch 2.3 One Step (Multiplication & Division)

A QUICK REVIEW OF ALGEBRA

Example 2 4 m 8 m 5m 12 m x y.

Algebraic Equations Solving One Step Equations with Whole Numbers

Solving Two- Step Equations

Solving Two Step Equations

Solving Equations with the Variable on Both Sides

Solving Multi-Step Equations

Simple Rules for Solving Equations

Example 2 4 m 8 m 5m 12 m x y.

Solving Multi-Step Equations

Write your agenda message No warm-up today Turn in:

1.3 Solving Linear Equations

Solving Two- Step Equations

Solving Multi-Step Equations

Write your agenda message No warm-up today Turn in:

Solving Multi-Step Equations

Do Now 10/13/11 In your notebook, simplify the expressions below.

Solving Equations involving Fractions

Solving Inequalities.

Several Transformations

Think about… How is an equation like a balance scale?

Solving Multi-Step Equations

10/3/11 In your notebook, answer completely the following:

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

Involving One Operation

Grade 6 Patterning and Algebra Unit

Solving Equations Using Multiplication and Division

Using the Distributive Property to Simplify Algebraic Expressions

Presentation transcript:

Section 3.3 Solving Equations with Distribution Mr. Beltz & Mr. Sparks

Goal:  Solve linear equations using Distribution  Distribute to BOTH terms in the ( )  Remember the rules for multiplying

Distributive Property  What does this mean?!  To distribute means to give something to each member of a group.  Algebra example: a(b+c)= ab + ac

Distribution Practice 2(x + 3)= -2(3 + x)= -2(x + 7)=

Answers 2(x + 3)= 2x (3 + x)= x -2(x + 7)= -2x + -14

***Change Subtraction to Addition, take the Opposite of the next number.*** 1 st Draw a line underneath the equal sign. 2 nd Circle the variable (remember the sign to the left stays with the variable) 3 rd Simplify one or both sides. 4 th Do the Inverse Operation 1 st Addition & Subtraction 2 nd Multiplication & Division

8x -2(x + 7)=16 8x + -2(x + 7)=16 8x+ -2x = 16 6x = x = x = 5 ***Change Subtraction to Addition, take the Opposite of the next number.*** **DISTRIBUTE** 1stDraw a line underneath the equal sign. 2nd Circle the variable (remember the sign to the left stays with the variable) 3rd Simplify one or both sides. 4th Do the Inverse Operation 1st Addition & Subtraction 2nd Multiplication & Division

5x + 3(x + 4) = 28 5x + 3x + 12 = 28 8x x = x = 2 ***Change Subtraction to Addition, take the Opposite of the next number.*** **DISTRIBUTE** 1stDraw a line underneath the equal sign. 2nd Circle the variable (remember the sign to the left stays with the variable) 3rd Simplify one or both sides. 4th Do the Inverse Operation 1st Addition & Subtraction 2nd Multiplication & Division