Standard and Slope-Intercept Forms

Slides:

Advertisements

Similar presentations

ONE STEP EQUATIONS.

Advertisements

Intro to Algebra/Geometry Solving Equations by Adding or Subtracting.

Multiplication and Division Equations SWBAT solve multiplication equations using the division property of equality; solve division equations using the.

EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

Solving 2-step equations ax + b = c. Keep it balanced Just like when solving a one- step equation keep it balanced. Just like when solving a one- step.

To Start: 10 Points.

Standardized Test Practice

Section 3.4: Solving Equations with Variables on Both Sides Algebra 1 Ms. Mayer.

Chapter 2 Lesson 1 Solving ONE STEP EQUATIONS ONE STEP EQUATIONS What you do to one side of the equation must also be done to the other side to keep.

Equation y + 5 y + 5 = 20 Expressions

Solving 2-Step Variable Equations. Two Step Equations Essential Question How are inverse operations used to solve two step equations? Why does order matter.

Lesson 1 Chapter 3. Objectives Solve equations using addition and subtraction.

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.

Lesson 1-8 Solving Addition and Subtraction Equations.

Algebra 1 Chapter 2 Section : Solving One-Step Equations An equation is a mathematical statement that two expressions are equal. A solution of an.

Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.

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

One-Step Equations I can show that solving an equation leads to finding the value that makes the equation true.

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 +

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.

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

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

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

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.

Slope-intercept Form to Standard Form and Standard Form to Slope-intercept Form Robert Conyer Algebra II.

Two-Step Equations Review 1-Step 2-Step Equations Practice Problems.

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,

3. 3 Solving Equations Using Addition or Subtraction 3

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Solving Multi-Step Equations

Equations Pre/Post Test

ONE STEP EQUATIONS.

ONE STEP EQUATIONS.

Warm up 11/1/ X ÷ 40.

Solving 1-Step Integer Equations

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

Solving One Step Equations

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

6-3 Solving Systems Using Elimination

Solving Multi-Step Equations

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

Solving Multi-Step Equations

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

EQ: How do I solve an equation in one variable?

Solve an equation by combining like terms

2-1 & 2-2: Solving One & Two Step Equations

Solving Multi-Step Equations

Solving one- and two-step equations

Solving Equations by Adding and Subtracting Solving Equations

Subtract the same value on each side

Solving Multi-Step Equations

Students will use inverse operations to solve one-step equations.

Solving Multi-Step Equations

Learn to solve 2-step equations

Unit 2B/3A Solving Equations

ONE STEP EQUATIONS WHAT?!?!.

Solving basic equations

ONE STEP 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.

Students will use inverse operations to solve one-step equations.

Solving 1 and 2 Step Equations

ONE STEP EQUATIONS.

Presentation transcript:

Standard and Slope-Intercept Forms

Standard Form: Ax + By = C Slope-Intercept Form: y = mx + b IMPORTANT: B ≠ b You can convert between standard and slope-intercept forms by performing inverse operations. Inverse Operations: Multiply Divide Divide Multiply Add Subtract Subtract Add REMEMBER: Properties of Equality – what is done to one side of the equation must be done to the other side

How do you convert from standard form to slope-intercept form? Ax + By = C y = mx + b (Solve for y) Example1: 6x + y = 12 (standard form) (1)Subtract 6x from each side -6x -6x y = -6x + 12 (slope-intercept form) m = ______ b = ______ Example 2: 10x + 5y = 25 (standard form) (1)Subtract 6x from each side -10x -10x (2) Divide by 5 on each side 5y = -10x + 25 5 5 y = -2x + 5 TRY THESE: Convert from standard form to slope-intercept form 1. 40x – 5y = -10 2. -10x + 2y = 30 3. x + y = -7 4. 2x – y = 12

SOLUTIONS: 1. 40x – 5y = -10 2. -10x + 2y = 30 3. x + y = -7 4. 2x – y = 12 1) y = 8x + 2 y = 5x + 15 y = -x + (-7) or y = -x – 7 y = 2x – 12

How do you convert from slope-intercept form to standard form How do you convert from slope-intercept form to standard form? y = mx + b Ax + By = C Example 1: y = 3x – 5 (slope-int form) (1) Subtract 3x from each side -3x -3x -3x + y = -5 (standard form) Example 2: y = 4 x + 12 (slope-int form) (1)Subtract 4 x from each side -4x -4x -4 x + y = 12 TRY THESE: Convert from slope-intercept form to standard form 1. y = 3 x – 15 3. y = -x – 1 2. y = -10x – 2 4. y = x

SOLUTIONS: 1. y = 3 x – 15 3. y = -x – 1 2. y = -10x – 2 4. y = x 1) -3x + y = -15 10x + y = -2 x + y = -1 -x + y = 0