Solving Multi-Step Equations

Slides:

Advertisements

Similar presentations

3.3 Solving Multi-Step Equations. A multi-step equation requires more than two steps to solve. To solve a multi-step equation: you may have to simplify.

Advertisements

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

Solve an equation with variables on both sides

What is a Two-Step Equation? An equation written in the form Ax + B = C.

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

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

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

The Multiplication Principle of Equality 2.3a 1.Solve linear equations using the multiplication principle. 2.Solve linear equations using both the addition.

Solving Equations Medina1 Variables on Both Sides.

Solving Equations Medina1 Multi-Step Equations. Steps to solve Medina2 3. Use inverse of addition or subtraction You may not have to do all the steps.

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

1.4 Solving Multi-Step Equations. To isolate the variable, perform the inverse or opposite of every operation in the equation on both sides of the equation.

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

Use the substitution method

Solve Linear Systems by Substitution January 28, 2014 Pages

Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.

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

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

Lesson 1.2 Essential Question: How do I solve an equation with more than one step? Objective: To use two or more transformations (steps) to solve an equation.

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

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.

Algebra 1 Section 3.1 Solve equations using addition and subtraction Consider the balance… Transformations that produce equivalent equations. 1.Add the.

3.5 Solving Equations with Variables on Both Sides.

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

1.4 Solving Equations.

Rewrite a linear equation

My Equations Booklet.

Solving Two step equations

Solving Multistep Equations

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.

Solving Multi-Step Equations

Objective 3.6 solve multi-step inequalities.

3-1 HW:Pg #4-28eoe, 30-48e, 55, 61,

Solve for variable 3x = 6 7x = -21

Solving Two and Multi Step Equations

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

Lesson 3.1 How do you solve two-step equations?

Solving Multi-Step Equations

Solving Algebraic Equations

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

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

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

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

Solving Multi-Step Equations

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Solve an equation by combining like terms

Equations: Multi-Step Examples ..

Multi-Step Equations TeacherTwins©2014.

Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of linear equations.

Solving Multi-Step Equations

Solving Multi-Step Equations

Solving one- and two-step equations

Multi-Step Equations TeacherTwins©2014.

Solving Equations Finding Your Balance

Multi-Step Equations Notes and Practice.

Warm Up Solve for x. Simplify Simplify

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

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

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

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

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

Solving Multi-Step Equations

Lesson 1.2 Essential Question: How do I solve an equation with more than one step? Objective: To use two or more transformations (steps) to solve an equation.

Learn to solve 2-step equations

Lesson 7-6 Multiplying a Polynomial by a Monomial

Solving Equations.

Unit 2B/3A Solving Equations

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.

By: Savana Bixler Solving Equations.

Presentation transcript:

Solving Multi-Step Equations * Use two or more transformations to solve an equation

What you do to one side you have to do to the other!! Remember solving an equation is a balancing act. What you do to one side you have to do to the other!!

To solve you do the opposite: Steps for Solving…. Simplify one or both sides of the equation (if needed). Use inverse operations to isolate the variable. (DO THE OPPOSITE OF ORDER OF OPERATIONS) To simplify you use: To solve you do the opposite: P E M D A S S A D M E P

Solving a Linear Equation Write the original equation. Subtract 6 from each side. Simplify. 3 x x 3 Multiply each side by 3. Simplify. CHECK

Combining Like Terms First… Write the original equation. Combine like terms. Add 8 to each side. Simplify. 4 4 Divide each side by 4. Simplify. CHECK

Using the Distributive Property… Write the original equation. Distribute the 3. Combine like terms. Subtract from both sides. Simplify Divide both sides. CHECK Simplify.

Distributing a Negative… Write the original equation. Distribute the 3 and the negative. Combine like terms. Subtract from both sides. Simplify CHECK

Practice…