Solve Linear Equations

Slides:

Advertisements

Similar presentations

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

Advertisements

3-5 Solving Equations with the variable on each side Objective: Students will solve equations with the variable on each side and equations with grouping.

Solving Linear Inequalities Chapter 1.6 Part 3. Properties of Inequality.

Chapter solving Equations by Multiplying or dividing

Write reasons for each step

Standardized Test Practice

Solving Equations with variables on both sides of the Equals Chapter 3.5.

Standardized Test Practice

EXAMPLE 1 Solve an equation with a variable on one side Solve 4 5 x + 8 = x + 8 = x = 12 x = (12) 5 4 x = 15 Write original equation. Subtract.

Warm-Up #2 Simplify the expression. 2. –6(m – 9) + 14m – 20

Solve an equation with a variable on one side

Put your signature page on the overhead projector please August 23, 2011.

1.2 & 1.3 Warm-Up. 1-2 Algebraic Expressions and Models An established ORDER OF OPERATIONS is used to evaluate an expression involving more than one operation.

Two equations are equivalent if they have the same solutions. Solving a Linear Equation An equation is a statement in which two expressions are equal.

Two equations are equivalent if they have the same solutions. Solving a Linear Equation An equation is a statement in which two expressions are equal.

1.3 Solving Linear Equations. Equation: a statement in which two expressions are equal Linear Equation- One variable equation that can be written as ax.

6.2 Solving Linear Equations Objective: To solve linear equations.

Math 021.  An equation is defined as two algebraic expressions separated by an = sign.  The solution to an equation is a number that when substituted.

1-8 Solving Equations by Adding or Subtracting Warm-up: Fluency Quiz. Sit with paper blank side up. Homework: Page 41 #4-8 even, #12-16 even, even,

Section 2.1 Solving Equations Using Properties of Equality.

2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.

3/29/07Ms. Waters. 3/29/07Ms. Waters Objectives To apply the properties of equality To simplify expressions using addition, subtraction, multiplication.

1 – 3 Solving Linear Equations Objective: CA 1.0: Students solve equations and inequalities involving absolute value.

 Equation: A statement that two expressions are =  Linear Equation: Can be written in the form ax + b = 0 (a and b are coefficients and a≠0)

Solving Linear Equations Lesson 1.3. Vocabulary Equation-a statement in which two expressions are equal. Linear Equation-an equation that can be written.

Multiplication and Division Properties. Multiplication Properties Commutative Property Associative Property Identity Property Zero Property Distributive.

2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.

Inequalities Objective: To solve and graph all types of inequalities.

* Collect the like terms 1. 2a = 2a x -2x + 9 = 6x z – – 5z = 2z - 6.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Solving Inequalities Using Multiplication and Division Chapter 4 Section 3.

Lesson 7.4 Solving Multiplication and Division Equations 2/3/10.

Write, Interpret and Use Mathematical Expression and Equations.

Linear Equations on One Variable

Problem Solving with Two-Step Equations

Properties Quiz on Thursday!

Notes 7.1 Day 1– Solving Two-Step Equations

Solving Equations by Multiplying or Dividing

Solving a Linear Equation

ONE STEP EQUATIONS.

ONE STEP EQUATIONS.

Warm up 11/1/ X ÷ 40.

Solving 1-Step Integer Equations

Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.

EQ: How do I solve an equation in one variable?

1.3 Solving Linear Equations

Solving Two-Step Equations Lesson 2-2 Learning goal.

2.1 Solving Linear Inequalities

2.1 – 2.2 Solving Linear Inequalities

Using the Properties Together

Solving Linear Equations and Inequalities

Subtract the same value on each side

Solve the following problems.

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

Ch. 1.3 Solving Linear Equations

Do Now Solve. 1. –8p – 8 = d – 5 = x + 24 = 60 4.

Unit 2B/3A Solving Equations

ONE STEP EQUATIONS WHAT?!?!.

Solving Equations Using Multiplication and Division

Solving Linear Equations

ONE STEP EQUATIONS.

Solving 1 and 2 Step Equations

By: Savana Bixler Solving Equations.

ONE STEP EQUATIONS.

1.3 Solving Linear Equations

3.3 Using the Properties Together

Presentation transcript:

Solve Linear Equations Notes 1.3 Solve Linear Equations

Equation - a statement that two expressions are equal What is the difference between an equation and an expression? An equals sign =

New Properties: Addition Property of Equality Add the same number to each side of the equals sign If a = b, then a + c = b + c x – 5 = 2

Subtraction Property of Equality Subtract the same number to each side of the equals sign. If a = b, then a – c = b – c x + 2 = 7

Multiplication Property of Equality Multiply each side by the same nonzero number. If a = b and c ≠ 0, then a ∙ c = b ∙ c

Division Property of Equality Divide each side by the same nonzero number. If a = b, and c ≠ 0, then a ÷ c = b ÷ c 5x = 30

Solve.

Solve.

More Practice

Solve.

Solve.

Solve.

Solve.

Solve these multi-step equations.

Solve.

Example 2 on page 19 During one shift, a waiter earns wages of $30 and gets an additional 15% in tips on customers’ food bills. The waiter earns $105. What is the total of the customers’ food bills?

Guided Practice number 4 on page 19 A real estate agent’s base salary is $22,000 per year. The agent earns a 4% commission on total sales. How much must the agent sell to earn $60,000 in one year?

Example 5 page 20 It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?

Homework page 21 3-40, 43-50, 68-71, 75-76