Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles.

Slides:

Advertisements

Similar presentations

VARIABLES ON BOTH SIDES

Advertisements

Small Square Value = 1 Rectangle x Value = x Large Square x x Value = x 2 Algebra Tiles.

Solving Equations Algebra Tiles.

Solving Multiplication and Division Equations. Lesson Objective Students will be able to solve multiplication and division equations.

EQUATIONS This presentation accompanies the worksheet: “Simple equations” available at:

Golden Rule of Algebra:

Solving equations Section 1.4.

Whiteboardmaths.com © 2008 All rights reserved

= This set of tiles represents the equation 2x + 2 = 6. Solving Two-Step Equations xx x=6+ 2 © NorledgeMaths.

Solve a logarithmic equation

Objective The student will be able to: solve equations using addition and subtraction.

The Equation Game. Why is an equation like a balance scale? 3 2x - 1 =

1-8 Solving Equations by Adding or Subtracting Warm-up: Fluency Quiz. Sit with paper blank side up. Homework: Page 41 #4-8 even, #12-16 even, even,

Solving Equations with Algebra Tiles Part II

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 When do we use solving equations? We use solving equations methods when we know what the problem equals but not what the variable is.

Modeling Equations Lab Name________________________ Directions: Model each problem on your equation mats with the tiles. Then, record your work on this.

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

Solve each equation & check your answer. 1) 2)

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,

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.

Solving Equations with Algebra Tiles Part III Jim Rahn

ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.

Solving Equations with Algebra Tiles Part I Jim Rahn

Warm-Up Find the inverse: 1.3y = 12x f(x) = ½x + 8.

x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Multiplication Equations Unit 2.7 Pages / / / / / Warm Up Problems Solve the following.

Solving Algebraic Equations. Equality 3 = = = 7 For what value of x is: x + 4 = 7 true?

Model the following problem using algebra tiles: (x + 4)(x – 4) x + 4 x - 4 x2x2.

BALANCING EQUATIONS We can think of an equation like a set of scales with two sides that balance. That means that you can change one side if you do the.

Solving Quadratic Equations by Completing the Square

Warm up – Solve by Completing the Square

The green rectangles will represent positive x

Solving Quadratic Equations by Completing the Square

EQUATIONS WITH ALGEBRA TILES.

Warm up – Solve by Taking Roots

Solving Equations by Factoring and Problem Solving

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Warm up – Solve by Completing the Square

Algebra 2 Ch.5 Notes Page 37 P Completing the Square.

Solving Quadratic Equations by Completing the Square

USING GRAPHS TO SOLVE EQUATIONS

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

You can find the roots of some quadratic equations by factoring and applying the Zero Product Property. Functions have zeros or x-intercepts. Equations.

Completing the Square MM3G2.

a + 2 = 6 What does this represent? 2 a

Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m Warm up Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m.

Solving Quadratic Equations by Completing the Square

Warm – Up On your white board, model the following equation:

Warmup - Simplifying Radicals

Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m Warm up Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m.

Solving Quadratic Equations by Completing the Square

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

Solving Quadratic Equations by Completing the Square

10/3/11 In your notebook, answer completely the following:

Algebra II 5-7 Completing the Square.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

How to Solve Linear Equations

Presentation transcript:

Small Square Value = 1 Rectangle x Value = x Large Square x x Value = x 2 Algebra Tiles

Small Square Value = -1 Rectangle -x 1 1 Value = - x Large Square -x x Value = -x 2 Algebra Tiles

We are going to use Algebra Tiles to solve algebraic equations. Algebra Tiles

= An Equation is like a balance scale. Everything must be equal on both sides.

= What you do to one side of an equation, you must do to the other side to keep it balanced.

= 4x-2=2x+3 What Equation Is This?

= -3x+1 = 2x+3 What Equation Is This?

= -3x+2= x-1 What Equation Is This?

= -3x-2= -x-1 What Equation Is This?

# x x x – Move the smaller number of x’s to one side 2 = 2x = 2x = 2x + 2 = 4x – 2 x x 2x + 2 = 4x x -2x x – = x

Then you will draw the problem. Then you will write the algebra equation, solve and show the check. It is important to see the problem on your balance scale with the algebra tiles 1 st. I want to make sure you understand it conceptually before doing the algebra!

Show me problem #1 2x + 1 = x + 3 = Take 1x away from both sides. Draw this on your homework paper x = 2 Take 1 away from both sides.

Draw problem #1 2x + 1 = x x ++ = + Take 1x away from both sides. x x Take 1 away from both sides. 2x + 1 = x + 3 -x -x x + 1 = 3 2(2) + 1 = x = = 5 5 = 5

Show me problem #2 3x + 2 = x + 8 = Take 1x away from both sides. Draw this on your homework paper x = 3 Take 2 away from both sides. Divide both sides by 2.

Draw Problem #2 3x + 2 = x = + Take 1x away from both sides. Take 2 away from both sides Divide both sides by 2. 3x + 2 = x + 8 -x -x 2x + 2 = x = x = 3 3(3)+2= =11 11=11

Show me problem #3 3x - 5 = 4 = Add 5 to both sides. Draw this on your homework paper x = 3 Take away the zeros Divide both sides by 3.

Draw problem #3 3x - 5 = = Add 5 to both sides Take away the zeros - ++ Divide both sides by x - 5 = x = x = 3 3(3) - 5 = = 4 4 = 4

Show me problem #4 2x - 1 = 3x = Take 2x away from both sides. Draw this on your homework paper x = -1

Draw problem #4 2x - 1 = 3x - = Take 2x away from both sides. 2x - 1 = 3x -2x -2x - 1 = x 2(-1) - 1 = 3(-1) = = -3

Show me problem #5 4x + 1 = 3x - 1 = D raw this on your homework paper Take away 3x from both sides. Add -1 to both sides. Take away the zeros x = -2

Draw Problem #5 4x + 1 = 3x = _ Take away 3x from both sides. Add -1 to both sides. Take away the zeros 4x + 1 = 3x – 1 -3x -3x x + 1 = x = -2 4(-2)+1= 3(-2) = -6 – 1 -7 = -7 _ _