EXAMPLE 2 Solving an Equation Involving Decimals 1.4x –1.8 + 2.35x = 0.21 Original equation. (1.4x –1.8 + 2.35x)100 = (0.21)100 Multiply each side by 100.

Slides:

Advertisements

Similar presentations

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

Advertisements

Solve an equation with variables on both sides

2.1 – Linear Equations in One Variable

Solve an equation by combining like terms

Write reasons for each step

1.1 Linear Equations A linear equation in one variable is equivalent to an equation of the form To solve an equation means to find all the solutions of.

Standardized Test Practice

To Start: 10 Points.

Standardized Test Practice

1 Warm Up 3 Points Total 1 for each Solve and check: 7x – 2 = 4x 2) 7(5x – 2) = 6(6x – 1) 3) 3x – 3 = 5(x – 4)

Learn to solve multi-step equations.

The student will be able to: solve equations with variables on both sides. Equations with Variables on Both Sides Objectives Designed by Skip Tyler, Varina.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Section 2.2 More about Solving Equations. Objectives Use more than one property of equality to solve equations. Simplify expressions to solve equations.

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 9.3 Further Solving Linear Equations.

The Multiplication Principle of Equality

Solving Multi-Step Equations by Clearing the Fractions.

Solve an equation by combining like terms EXAMPLE 1 8x – 3x – 10 = 20 Write original equation. 5x – 10 = 20 Combine like terms. 5x – =

1.3 Solving Linear Equations

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

Warm Up Solve. 1. 3x = = z – 100 = w = 98.6 x = 34 y = 225 z = 121 w = 19.5 y 15.

Systems of Equations: Substitution

Use the substitution method

1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:

EXAMPLE 2 Multiply by the LCD Solve. Check your solution. x – 2 x = SOLUTION x – 2 x = Multiply by LCD, 5(x – 2). 5(x – 2) x – 2 x 1 5.

Multi Step Equations. Algebra Examples 3/8 – 1/4x = 1/2x – 3/4 3/8 – 1/4x = 1/2x – 3/4 8(3/8 – 1/4x) = 8(1/2x – 3/4) (Multiply both sides by 8) 8(3/8.

Solve a two-step equation by combining like terms EXAMPLE 2 Solve 7x – 4x = 21 7x – 4x = 21 Write original equation. 3x = 21 Combine like terms. Divide.

1-3 Multi-Step Equations Objectives: To solve equations with multiple steps including distributive property.

Solving Two-Step and Multi-Step Equations Warm Up Lesson Presentation

Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.

§ 2.3 Solving Linear Equations. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Solving Linear Equations Solving Linear Equations in One Variable.

1 So far you have followed these steps to solve equations with fractions: Undo any addition or subtraction in order to get the variable term alone on one.

Rewrite a linear equation

Objectives The student will be able to:

6-3: Solving Equations with variables on both sides of the equal sign

Solving Equations With Fractions

Example: Solve the equation. Multiply both sides by 5. Simplify both sides. Add –3y to both sides. Simplify both sides. Add –30 to both sides. Simplify.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Solving Multi-Step Equations by Clearing the Fractions

Solving Multi-Step Equations

3.6 Clearing an Equation of Fractions and decimals

Solving Equations Containing Fractions

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

Objective Solve equations in one variable that contain more than one operation.

Solving Multi-Step Equations

Objectives The student will be able to:

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

Solving Multi-Step Equations

Warm-up Open MSG to next clear page and title it “Solving Multi-Step Equations by Clearing the Fractions” Next, solve the following: Find the LCM of the.

DO NOW: Write homework in your agenda

Solve an equation by combining like terms

Equations Containing Decimals

Multi-Step Equations Mrs. Book.

Solving Multi-Step Equations

Solving Multi-Step Equations

Objective Solve equations in one variable that contain more than one operation.

12 Systems of Linear Equations and Inequalities.

Equations Containing Decimals

Solving Multi-Step Equations

Objective Solve equations in one variable that contain more than one operation.

Objective Solve equations in one variable that contain more than one operation.

Solving Multi-Step Equations

Objectives The student will be able to:

Objectives The student will be able to:

2.2 Solving Equations with Variables on Both Sides

Objectives The student will be able to:

Objectives The student will be able to:

Objectives The student will be able to:

If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.

Solving Equations with Fractions

Presentation transcript:

EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100 to clear decimals. 140x – x = 21 Simplify. 375x –180 = 21 Combine like terms. 375x = 201 Add 180 to each side. Divide each side by 375. x = Simplify. 375x =

EXAMPLE 3 Solving an Equation Involving Fractions Original equation x = – 1 6 x x ( ) 30 = 1 6 x ( ) – x ( ) 30 = 1 6 x ( ) – ) ( x = – x x = –5x x = 21 Multiply each side by the LCD, 30. Distributive property Divide out common factors. Simplify. Add 5x to each side. Divide each side by 14. Simplify. x= = 3 2 or 1 1 2,

GUIDED PRACTICE for Examples 2 and 3 Solve the equation. k = 2.62 – 1.7k + 6.7k =

GUIDED PRACTICE for Examples 2 and = n 1.2n – 0.24 = 0.7n 3.

GUIDED PRACTICE for Examples 2 and = y 8.3 – 8y = 1.2y +6 4.

GUIDED PRACTICE for Examples 2 and x = – x –37 8 =

GUIDED PRACTICE for Examples 2 and s = 1 3 2s –1 4 9 = s

GUIDED PRACTICE for Examples 2 and v = 3 8 v –15 11 or 4 11 –1 = v