Linear Equations on One Variable

Slides:



Advertisements
Similar presentations
ONE STEP EQUATIONS.
Advertisements

Solving 2 Step Equations
Solving Two-Step Equations
Solving Equations by Adding and Subtracting: Vocabulary Solve: To solve an equation mean to find a solution to the equation. Isolate the variable: Get.
2.2 Solving Two-Step Equations I can solve two-step equations in one variable.
To solve an equation is to isolate the variable.
Solving Linear Equations Part I Presented by Mr. Laws 8 th Math/Algebra 1 JCMS.
Literal Equations Coordinate Algebra Standard: A.CED.4.
Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.
Solving Linear Equations with a variable on only one side of the equation.
Chapter 1 Solving Linear Equations. 1.1 Solving Simple Equations.
I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.
 Solving Linear Inequalities CHAPTER Writing and Graphing Inequalities  What you will learn:  Write linear inequalities  Sketch the graphs.
3.2 Solving Equations by Using Addition and Subtraction Addition Property of Equality –If the same number is added to each side of an equation, the resulting.
Lesson 7. Literal Equations  I can identify literal equations.  I can rewrite and use literal equations Objectives.
Lesson 1 Chapter 3. Objectives Solve equations using addition and subtraction.
Using Subtraction, Addition, Multiplication and Division One Step Equations.
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.
3/29/07Ms. Waters. 3/29/07Ms. Waters Objectives To apply the properties of equality To simplify expressions using addition, subtraction, multiplication.
Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +
Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.
Warm Up Solve. 1. x + 5 = 9 2. x – 34 = 72 = x – 39 x = 4 x = 106
OBJECTIVE I will find solutions to equations using division and multiplication.
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.
Do Now: Please finish word wall before you start equations
Solving One Step Equations subtract 3 Adding or subtracting the same number from each side of an equation produces an equivalent equation. Addition.
Solving Literal Equations 1/11/16 Advanced Algebra/Trig.
Write, Interpret and Use Mathematical Expression and Equations.
Before: September 21, During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction,
Lesson 7.3 Solving Addition and Subtraction Equations 2/2/10.
3. 3 Solving Equations Using Addition or Subtraction 3
2-2 Solving One-Step Equations
Linear Equations on One Variable
Problem Solving with Two-Step Equations
Properties of Equality and Solving One-Step Equations
Notes 7.1 Day 1– Solving Two-Step Equations
2-1 Solving 1 step equations
Review of the Distributive Property of Multiplication Notes
Notes Over 4.2 The Multiplication Property of Equality
Linear Equations on One Variable
ONE STEP EQUATIONS.
ONE STEP EQUATIONS.
Bell Ringer.
Bell Ringer.
Warm up 11/1/ X ÷ 40.
Solving 1-Step Integer Equations
DO NOW Copy down your homework: 2-1 Lesson check on page 85
Solving Equations by 2-1 Adding or Subtracting Warm Up
Solving Algebraic 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?
Solving Two-Step Equations Lesson 2-2 Learning goal.
Equation- a math sentence with an equal sign.
8.1.1 Solving Simple Equations
2-2 Solving One-Step Equations
Problem Solving with Two-Step Equations
SOLVING EQUATIONS UNIT 01 LESSON 03.
Subtract the same value on each side
Several Transformations
Bell Ringer.
Lesson 7.
Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Vocab: Inverse operations: Are operations that undo.
10/3/11 In your notebook, answer completely the following:
Unit 2B/3A Solving Equations
ONE STEP EQUATIONS WHAT?!?!.
Solving Equations Using Multiplication and Division
ONE STEP EQUATIONS.
Solving 1 and 2 Step Equations
ONE STEP EQUATIONS.
7.4 Solving Multiplication and Division Equations
Presentation transcript:

Linear Equations on One Variable Multi-Step Equations in one variable Opening Routine The second angle of a triangle measures three times as large as the first. If the third angle measures 55° more than the first, find the measures of all three angles.

Topic II: Linear Equations in One Variable

Linear Equations on One Variable Justify Each Step Literal Equations Objective: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. Essential Question: Why is solving literal equations for a particular variable helpful?

Linear Equations on One Variable Justify Each Step Literal Equations Vocabulary Equivalent Equations: Are equations that have the same solution. They appear in each step along the process of solving an equation. Isolate: Getting the variable alone on one side of the equation. Addition Property of Equality: Adding the same number to each side of an equation to produce an equivalent equation.

Linear Equations on One Variable Justify Each Step Literal Equations Vocabulary Subtraction Property of Equality: Subtracting the same number to each side of an equation to produce an equivalent equation. Inverse operation: Undoes another operation. For example, subtraction is the inverse of addition.

Linear Equations on One Variable Justify Each Step Literal Equations Vocabulary Multiplication Property of Equality: Multiplying each side of an equation by the same nonzero number to produce an equivalent equation. Division Property of Equality: Dividing each side of an equation by the same nonzero number to produce an equivalent equation.

Linear Equations on One Variable Justify Each Step Literal Equations

Linear Equations on One Variable Justify Each Step Literal Equations

Linear Equations on One Variable Justify Each Step Literal Equations

Linear Equations on One Variable Justify Each Step Literal Equations

Linear Equations on One Variable Justify Each Step Literal Equations

Linear Equations on One Variable Justify Each Step Literal Equations A literal equation is an equation with two or more variables also known as a "formula". To solve a literal equation, as it has more than one variable, the solution consists in solving for a specified variable.

Linear Equations on One Variable Justify Each Step Literal Equations To solve the literal equation we can use the same properties of solving that we use for any linear equation with one variable. The difference is that our goal here is to get the variable alone on one side, everything else, without the variable, on the other.

Linear Equations on One Variable Justify Each Step Literal Equations That is to say we want the equation to say “variable = everything else without that variable”. We use all of the same techniques and processes for solving that we have learned so far. It’s just a matter of treating all of the extra variables as you would if they we simply numbers.

Linear Equations on One Variable Justify Each Step Literal Equations Guided Practice – WE DO

Linear Equations on One Variable Justify Each Step Literal Equations Independent Practice – YOU DO Worksheet Justify Each Step and Literal Equations Exercises 1 - 19

Linear Equations on One Variable Justify Each Step Literal Equations Homework Complete Worksheet Justify Each Step and Literal Equations Exercises 1 - 19

Linear Equations on One Variable Justify Each Step Literal Equations Closure Essential Question: Why is solving literal equations for a particular variable helpful?