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Solving Equations with Algebra and Tiles (0, 1, Infinite Solutions)
Algebra Tiles *These tiles are positive side up ( The red side is always negative)* x 1 x x y 1 y y x y Unit Tile 5 Piece x Tile x 2 Tile y Tile y 2 Tile xy Tile x x2x2 yy2y2 xy
Solving for x: One Solution = Explntn Original Remove 0s CLT x = 3 Balance Divide
Solving for y: No Solutions = Explntn Flip Remove 0s No solution Original Balance When is 2 equal to -2? FALSE Inside parentheses
Solving for x: Infinite Solutions = Explntn Original Remove 0s CLT Infinite Solutions Balance When is 0 equal to 0? TRUE
Algebra Tiles *Make sure all tiles are positive side up (negative [red] side down)* 1 1 Area = Area = 5 x 1 Area = x x x Area = x 2 y 1 Area = y.
Solve 7n – 2 = 5n + 6. Example 1: Solving Equations with Variables on Both Sides To collect the variable terms on one side, subtract 5n from both sides.
One Answer, No Answers, or an Infinite Number of Answers.
Holt McDougal Algebra Solving Equations with Variables on Both Sides 1-5 Solving Equations with Variables on Both Sides Holt Algebra 1 Warm Up Warm.
Lesson 8.1. » A statement where two mathematical expressions are. » Think of an equation as a balance scale or teeter-totter. The left side must always.
= This set of tiles represents the equation 2x + 2 = 6. Solving Two-Step Equations xx x=6+ 2 © NorledgeMaths.
Solving multi step equations. 12X + 3 = 4X X 12X + 3 = 3X X 9X + 3 = X = X =
Alge-Tiles an Overview. x x2x2 y y2y2 xy 1 Set 1 Set 2.
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.
Algebra 1: Solving Equations with variables on BOTH sides.
LO: Solve equations with negative solutions. Progress Check Solve, showing full working: 1)3x = 21 2)x + 5 = 8 3)12 = x - 3 4)4x + 5 = 17 5)36 = 7x + 1.
Solving equations with variable on both sides Part 1.
Solving Equations: More Than One Step The algebra tiles show the equation 2x –3 = 5 = When you solve equations, the object is to get the variable alone,
§ 2.3 Solving Linear Equations. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Solving Linear Equations Solving Linear Equations in One Variable.
3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.
Activity Modeling Two-Step Equations Solving Two-Step Equations A two-step equation is an equation you solve using two operations. You can use algebra.
How to Use Algebra Tiles. What are Algebra Tiles????? X X2X2 Red = Negative Numbers Yellow = Positive Numbers A Small Square = 1 A Rectangle = X A Large.
3.4 Solving Equations with Variables on Both Sides Objective: Solve equations that have variables on both sides.
Solving Multistep Equations 2x + 4 = 12. Method 1 : Algebra tiles You should have a basic understanding of Algebra Tiles to use this tutorial. The Legal.
Linear Equations Know your rules for solving equations If fractions, multiply through by LCD Distribute values to parentheses What you do on one.
Inequalities. Symbols: < less than >Greater than ≤less than or equal to ≥ greater than or equal to Example: X > 4 Solution of an inequality is a value.
Solving Equations with Variables on Both Sides Sol A.4 Chapter Lesson 2-4.
1.7 and 1.8 Solving one step equations with algebra tiles.
The Equation Game. Why is an equation like a balance scale? 3 2x - 1 =
Identities, Contradictions and Conditional Equations.
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.
MM150 Unit 3 Seminar Agenda Seminar Topics Order of Operations Linear Equations in One Variable Formulas Applications of Linear Equations.
Objective - To solve equations with the variable in both sides. Solve. 2x + 4 = 5x x 4 = 3x = 3x 3 7 = x -5x -3x + 4 =
Find the following Algebra Tiles… Trace each of these Algebra Tiles on your notes. 1 unit x units Area/Name: 1 UNIT TILE 1 unit Area/Name: X TILE Area/Name:
1.3 Solving with Variables on Both Sides. What We Will Learn Solve linear equations that have variables on both sides Identify special solutions.
Algebra 7.5 Special Types of Linear Systems. Solve the Linear System -4x + 2y = 6 -2x + y = 3 4x - 2y = -6 0 = 0 0 = 0 What does this mean? The final.
Systems of Equations 7-4 Learn to solve systems of equations.
Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative.
CONFIDENTIAL 1 Grade 8 Pre-Algebra Solving Equations with Variables on Both Sides.
One-Step Equations Rewriting Equations Symmetric Property- allows you to completely switch both sides of an equation Inverse Operations + -- x Solving-
Do Now: Solve the following equations A painting company charges $250 base plus $16 per hour. Another painting company charges $210 base plus.
To solve an equation with variables on both sides, use inverse operations to "collect" variable terms on one side of the equation. Helpful Hint Equations.
ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.
Sec. 1-5 Day 1 HW pg (16-26 even, 33-36). An identity is an equation that is true for all values of the variable. An equation that is an identity.
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.
Hands-on Equations An Introduction to Algebra. The Pieces The following pieces we will be using for the first few lessons: Blue Pawns –> x Red Cubes ->
Solving Multiplication and Division Equations. Lesson Objective Students will be able to solve multiplication and division equations.
Solving Two-step Equations Algebraically. Ex. 1) 2x + 1 = 7 With algebra tiles Algebraically 2x + 1 = x = 3 2x + 1 = 7 X = 3 2x = 6 2 Take away,
1 Solving Linear Equations. 2 Like Terms Like terms contain the same variables raised to the same powers. To combine like terms, add or subtract the numerical.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 6 Algebra: Equations and Inequalities.
6-2 Solving Inequalities by Multiplication and Division Objective: Students will be able to solve linear inequalities by using multiplication and division.
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. 3.5 Objectives The student will be able to:
One Step Equations Multiplication and Division. What is an equation? An equation is a mathematical sentence that contains an equal sign ( = ) 5n = 25.
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