Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.2 Solving One.

Slides:

Advertisements

Similar presentations

Solving 2 Step Equations

Advertisements

Solving Linear Equations

Bell work x - 10 = x = 2 2x = 12 = 5. Solving Two-Step Equations.

To solve an equation is to isolate the variable.

Distance Education Mini-Lesson, Module 5 Mary C. Fanchette TEC 571 Grand Canyon University Instructor: March 23, 2011.

ALGEBRAIC EQUATIONS. EQUATIONS AND SOLUTIONS  A correct equation is like a balance scale.  In order to determine if a given value for a variable is.

Activity 13.  Pick up a Notecard and write your NAME and PERIOD  Title Notecard: GOALS  Answer the following questions:  1. What do I want to improve.

Solve the following equations for x. 5x = 45 4x + 5 = 13

CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.

1.3 “Solving Linear Equations” Steps: 1.Isolate the variable. 2.To solve when there is a fraction next to a variable, multiply both sides by the reciprocal.

Solving Quadratic Equations by Completing the Square.

Unit 4: Linear Equations In-Depth 4.1 Using m & b to graph equations.

Solving 2-step Equations. Inverse Operations Pairs AdditionSubtraction MultiplicationDivision ExponentsRadicals.

Prepare for my Unit 1 Test by making a 3x5 card and completing my Practice Test. Given the equation: 7x - 5 = 7x - 3, explain in words how you can tell.

Warm Up  – Evaluate.  (0.29)

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

One step equations using multiplication and division.

2.2 Solving Two Step Equations: Equivalent Equations: equations that have the same solutions. Isolate: Get a variable with a coefficient of 1 alone on.

Objective - To solve equations with the variable in both sides. Solve. 2x + 4 = 5x x 4 = 3x = 3x 3 7 = x -5x -3x + 4 =

Introduction to Quadratic Equations & Solving by Finding Square Roots Chapter 5.3.

Quadratic Relations Solving Quadratic Equations Day 2: Solve by Isolating the Variable Saturday, June 04, 20161Day 2 - Solve by Isolating the Variable.

Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.

Evaluating Algebraic Expressions 1-7 Solving Equations by Adding or Subtracting Preparation for AF4.0 Students solve simple linear equations and inequalities.

Solving Equations Using Multiplication and Division 4 A.4f Apply these skills to solve practical problems. 4 A.4b Justify steps used in solving equations.

Solving Two-Step Equations. Algebra Tiles Variable Zero Pairs.

Solve equations using addition and subtraction.

MTH Algebra THE ADDITION PROPERTY OF EQUALITY CHAPTER 2 SECTION 2.

Taking the n th Root to Solve Equations Chapter 7.1.

Solving Multi-Step Equations Objectives: to solve equations involving more than one operation. to solve problems by working backward. A.1 Solve linear.

Solve Multi-Step Equations like… 2x −5(x + 6) = x Which of the following are like terms? 3x 7y -2xy 3y 10xy -3x 7yx Write down this problem on your.

Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.

2.1 Solving One Step Equations: Equivalent Equations: equations that have the same solutions. Isolate: Get a variable with a coefficient of 1 alone on.

Solve Equations like… - 2(6 – 3m) = m Write in words the steps to solve this equation: r + 31 =−2(6r + 4) Write down this problem on your READY.

Reviewing One Step Equations.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Objectives.

Solving Equations. To solve an equation, you must isolate the variable (get the letter by itself). You do this by using opposite operations to undo what’s.

Differential Equations Linear Equations with Variable Coefficients.

Simplify 2r −10(2 + 7r) Is -3 a solution for this equation? 4x + 2 = -10 Write down this problem on your READY RECALL SHEET Be prepared to explain your.

One-Step Addition and Subtraction Equations

By, Mrs. Muller.  Recall the following properties when solving these types of equations:  Addition property of equality: a=b, then a+c=b+c, or 2x3=6,

ALGEBRA READINESS LESSON 3-1 Warm Up Lesson 3-1 Warm Up.

By Mrs. Muller. Key Vocabulary  Equation: mathematical sentence that has an equal sign, =.  Isolate: to get it alone  Variable: a letter representing.

Solving Equations with Algebra Tiles Part I Jim Rahn

A radical equation is an equation that contains a radical. BACK.

Goal: I will solve linear equations in one variable. ❖ Linear equations in one variable with one solution, infinitely many solutions, or no solutions.

11-1 Solving Two-Step Equations Do Now Solve. 1. n + 9 = z = x = n = 8 x = 7 z = -16 = 9 y = 72 y8y8.

Goal: Solve quadratic equation by factoring the trinomial. Eligible Content: A

Unit 2 Lesson 2.  Multi Step Equations require more than two steps to solve them!  They often require Combining Like Terms or the Distributive Property.

2.5 Solving Equations Involving Absolute Value

Linear Equations on One Variable

8-6 Solving Quadratic Equations using Factoring

Warm Up 1/14 Balanced or not? = =

Solving Two-Step Equations

Solving Equations Using Addition and Subtraction

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

Solving Radical Equations

1. 2. Warm-up The inverse operation of addition is subtraction

Remove addition/subtraction

To solve an equation means to find a solution to the equation

SECTION 10-4 : RADICAL EQUATIONS

Warm Up Determine if the given numbers are solutions to the given equations. 1. x = 2 for 4x = 9 2. x = 5 for 8x + 2 = x = 4 for 3(x – 2) = 10 no.

Solving Multi-Step Equations

Solving Equations by 1-2 Adding or Subtracting Warm Up

Objective Solve one-step equations in one variable by using addition or subtraction.

Solving Multi-Step Equations

Objective Solve one-step equations in one variable by using addition or subtraction.

Solving Multi-Step Equations

Do Now Solve. n + 9 = z = 55 n = x = z = -16

Solving a System of Linear Equations

Warm- Up: Solve by Substitution

Presentation transcript:

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.2 Solving One and Two Step Equations

Solve Equations like -1 + n = 1 3 What is the correct answer? Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. Page 10 of your INB

Get into your 4-Square Groups Solve -1 + n = 1 3 tape Page of your INB

What does the Variable (letter) Represent?

Solving Equations is like Balancing a Scale. Your Goal is to find the number for “x” that will keep the scale balanced. The Answer will be the SOLUTION

What Value for “X” will keep this scale balanced? Step 1: Isolate the variable (get the variable alone) Remember that you must do the same thing to both sides to keep it balanced Step 2: Find the Solution. x + 2 = 6 -2 X = 4

ONE STEP EQUATION How many steps do you think it will take to solve this equation?

INTERACTIVE NOTEBOOK TIME

The goal is to isolate the Variable (Get the letter alone). A.Circle the Term with the Variable C. Undo the coefficient of the Variable Term by undoing with multiplication/division.. B. Get the Variable Term alone by undoing with addition/subtraction -8 x = x = 7 -4 x = x = -28 x =

4. 3p = = m x + 2 = e = n = x – 8 = 12

TWO STEP EQUATION How many steps do you think it will take to solve this equation?

The goal is to isolate the Variable (Get the letter alone). A.Circle the Term with the Variable C. Undo the coefficient of the Variable Term by undoing with multiplication/division. B. Get the Variable Term alone by undoing with addition/subtraction +8 5x = X = 4 -6 x 3 = X = -30

4. 3p - 6 = = 5m x + 2 = e - 2 = n + 1 = x = 12

LET’S TRY A PROBLEM IN CONTEXT Hmwk # 28 Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? 1. What are you trying to find out? 3. Set up an equation and solve to find the answer A = R + 31 We know that A= 40 so… 2. What is your Variable? R How many miles Ryan ran. 40 = R = R Ryan ran 9 miles

-1 + n = 1 3 Let’s go back to our “I can” statement and solve it with our new skills.

SHOW YOUR WORK Worksheet 1.2 Solving One and Two Step Equations