Solving Multi-Step Equations

Slides:

Advertisements

Similar presentations

GGATHER ANY LIKE TERMS on each side before you move any terms to opposite sides of an equation. ii.e.5x + 10 – x = 6 – 4 4x + 10 = = -10 4x.

Advertisements

2.1 – Linear Equations in One Variable

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

Section 1.2 Homework questions? Slide 1 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

To Start: 10 Points.

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)

Solving Equations Medina1 With Decimal & Fractions.

Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.

SOLVING MULTI-STEP EQUATIONS Algebraic Equations Multiplication with Subtraction 2x – 4 = x=12 22 x=6.

Warm-up. Solving Multi-Step Equations A.1 How do you solve Multi-step equations?

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

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

Sec. 1-4 Day 2 HW pg (42-46, 53, 62-63, 67, 71-72)

Solving Linear Equations with a variable on only one side of the equation.

The Multiplication Principle of Equality

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

Holt McDougal Algebra 1 Solving Two-Step and Multi-Step Equations Warm Up Evaluate each expression –3(–2) 2. 3(–5 + 7) – 4(7 – 5) Simplify.

Solving Multi-Step Equations by Clearing the Fractions.

Thursday, September 30 Today’s Agenda  Fill in planner  Practice 2-2  Bell Work  Collect test corrections and grade Practice 2-1  Solving Two.

Algebra 3.6 Clearing Fractions and Decimals. Clearing the fractions   It is easier to deal with whole numbers in an equation than with fractions. 

Do Now: Write the question and answer.

2.3 Solving Multi-Step Equations

Objectives: Solve multi-step linear equations by combining like terms and using the distributive property Recall combining like terms: 4c + 5c = (4 + 5)c.

Solving Multi-Step Equations Define like terms again: Terms with exactly the same variables. Examples: Define the distributive property again: 6(3x + 2)

2.3 Solving Multi- Step Equations. Solving Multi-Steps Equations 1. Clear the equation of fractions and decimals. 2. Use the Distribution Property to.

Solve each equation in your lecture notebook. Do Now 1)x – 5 = 21 2)m – ( - 8) = -11 State the property you used in each problem.

3-1 & 3-2 Solving Multi-Step Equations (p. 119 & p. 126) Algebra 1 Prentice Hall, 2007.

ALGEBRA 1 Lesson 2-2 Warm-Up. ALGEBRA 1 Lesson 2-2 Warm-Up.

Math IA Warm Up: 1.Solve. How did you clear the fraction? x = 9x = 27 3Multiply by the denominator 2. Solve. What process do you use to clear fractions.

Solving Two-Step and 3.1 Multi-Step Equations Warm Up

Solving equations with Rational Coefficients

Solve Inequalities (pg ) Objective: TBAT solve inequalities by using the Addition and Subtraction Properties of Inequality.

MTH Algebra SOLVING LINEAR EQUATIONS WITH A VARIABLE ON ONLY ONE SIDE OF THE EQUATIONS CHAPTER 2 SECTION 4.

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.

Do Now: Please finish word wall before you start equations

Ch 2.4 (part 2) Multi-Step Objective: To solve multi-step variable equations by using three or more properties.

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

2.3 solving multi-step equations. Review combining like terms Term-- the individual item(s) being added or subtracted. Example: 3x + 5x Example: 5y –

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.

Solving Multi-Step Equations Section 2-3 Part 2. Goals Goal To solve multi-step equations in one variable. Rubric Level 1 – Know the goals. Level 2 –

Opener: Find three consecutive odd integers whose sum is -63 Integer #1 = n Integer #2 = n + 2 Integer #3 = n + 4 (n) + (n + 2) + (n + 4) = -63 3n + 6.

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

Objective The learner will solve multi-step equations.

Solving Multistep Equations

Section 2-3 Solve Multi-step Equations SPI 22D: Solve multi-step equations with variables on one side Objectives: Solve multi-step linear equations by.

Solving Equations with the Variable on Both Sides

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

Objective Solve equations in one variable that contain variable terms on both sides.

Solving Multi-Step Inequalities

Lesson 2.1 How do you use properties of addition and multiplication?

Equations Containing Decimals

Multi-Step Equations Mrs. Book.

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

Solving Equations Containing Decimals

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

Solving Equations by Adding and Subtracting Solving Equations

Using the Addition and Multiplication Principles Together

Objective Solve equations in one variable that contain variable terms on both sides.

Several Transformations

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

3.6 EQUATIONS WITH FRACTIONS AND DECIMALS

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

3.6 EQUATIONS WITH FRACTIONS AND DECIMALS

Algebra 1 Section 2.7.

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

Algebra 1 Section 2.6.

3.6 Clearing Fractions and Decimals

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.

Multi-Step equations with fractions and decimals

Presentation transcript:

Solving Multi-Step Equations Algebra 1: Section 2-3 Solving Multi-Step Equations

Objectives: To use the Distributive Property when combining like terms. To use the Distributive Property when solving equations.

Steps for solving multi-step equations: Clear the equations of fractions and decimals Use the Distributive Property to remove parentheses on each side Combine like terms on each side Undo addition or subtraction Undo multiplication or division

Combining Like Terms -2y + 5 + 5y = 14 3y + 5 = 14 - 5 - 5 3y = 9 3 3 - 5 - 5 3y = 9 3 3 y = 3

Solving an Equation with Grouping Symbols: 3(k + 8) = 21 3k + 24 = 21 - 24 - 24 3k = -3 3 3 K = -1 -3(x – 1) + 9 = 15 -3x + 3 + 9 = 15 -3x + 12 = 15 - 12 - 12 -3x = 3 -3 -3 x = -1

Solving an Equation that contains Decimals 0.025x + 22.95 = 23.65 25x + 22950 = 23650 - 22950 -22950 25x = 700 25 25 x = 28 Move decimal three times to the right because the 0.025 has three decimal places and the others have two, so we move it the most times in the problems. Solve the problem like any other problem.

Solve an equation that contains Fractions: 2/3 x – 5/8 x = 26 (2/3 x)(24) – (5/8 x)(24) = 26 (24) 16x - 15x = 624 x = 624 Find the common denominator for the entire equation and multiply each part by that number. Solve the equation

Check Understanding Y + y + 2 = 18 5(y – 3) = 19

Assignment: Pg. 91: multiples of 3 #3-48, 54