Solving Equations by Factoring and Problem Solving

Slides:



Advertisements
Similar presentations
Solving Equations by Factoring
Advertisements

Solve an equation with variables on both sides
7.8 Equations Involving Radicals. Solving Equations Involving Radicals :  1. the term with a variable in the radicand on one side of the sign.  2. Raise.
Algebra 1: Solving Equations with variables on BOTH sides.
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.
EXAMPLE 3 Solve an equation by factoring Solve 2x 2 + 8x = 0. 2x 2 + 8x = 0 2x(x + 4) = 0 2x = 0 x = 0 or x + 4 = 0 or x = – 4 ANSWER The solutions of.
7.6 – Solve Exponential and Log Equations
Solving equations Section 1.4.
Solving Rational Equations
3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.
Solving a System of Equations by SUBSTITUTION. GOAL: I want to find what x equals, and what y equals. Using substitution, I can say that x = __ and y.
Solving Equations by Factoring Definition of Quadratic Equations Zero-Factor Property Strategy for Solving Quadratics.
Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.
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.
5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.
Lesson 1-8 Solving Addition and Subtraction Equations.
EXAMPLE 1 Solve by equating exponents Rewrite 4 and as powers with base Solve 4 = x 1 2 x – 3 (2 ) = (2 ) 2 x – 3x – 1– 1 2 = 2 2 x– x + 3 2x =
Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.
2.1 – Linear and Quadratic Equations Linear Equations.
SECONDARY ONE 6.1a Using Substitution to Solve a System.
Warm Up. Solving Differential Equations General and Particular solutions.
Solving a System of Equations in Two Variables By Substitution Chapter 8.2.
Warm – Up # 9 Factor the following: 1.3x 2 – 2x – 5 2.4x x + 25.
ONE STEP EQUATIONS Multiplication and Division ONE STEP EQUATIONS Example 1 Solve 3x = 12 Variable? x 3x = 12 x x 3 ÷ 3 Inverse operation? Operation?
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.
Warm-up. Systems of Equations: Substitution Solving by Substitution 1)Solve one of the equations for a variable. 2)Substitute the expression from step.
Solving equations with variable on both sides Part 1.
Chapter 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Factoring.
Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.
Solve Polynomial Equations in Factored Form March 25, 2014 Pages
Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.
5.8 Radical Equations and Inequalities
Solving Equations by Factoring
Solving Multistep Equations
Solve an equation by multiplying by a reciprocal
Multi-Step Equations with variable(s) on one side
Variables on Both Sides with Equations
3-2: Solving Systems of Equations using Substitution
A quadratic equation is written in the Standard Form,
7.5 Exponential and Logarithmic Equations
Solve a system of linear equation in two variables
3-2: Solving Systems of Equations using Substitution
Solving Systems of Equations using Substitution
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.
3-2: Solving Systems of Equations using Substitution
2 Understanding Variables and Solving Equations.
2 Understanding Variables and Solving Equations.
Algebra 1 Section 13.6.
If you can easily isolate one of the variables,
8.5 Solving Rational Equations
Standard Form Quadratic Equation
Solving 1-Step Integer Equations
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Algebra EquationsJeopardy
3-2: Solving Systems of Equations using Substitution
Solving Polynomials by Factoring
A rational expression is a quotient of two polynomials
6.8 Solving Equations by Factoring
Lesson 7-6 Multiplying a Polynomial by a Monomial
Example 2B: Solving Linear Systems by Elimination
Example 5A: Solving Simple Rational Equations
3-2: Solving Systems of Equations using Substitution
3-2: Solving Systems of Equations using Substitution
1. How do I Solve Linear Equations
3-2: Solving Systems of Equations using Substitution
3-2: Solving Systems of Equations using Substitution
Objective SWBAT solve polynomial equations in factored form.
Definition of logarithm
Presentation transcript:

Solving Equations by Factoring and Problem Solving 14.4 Solving Equations by Factoring and Problem Solving

Example Solve: (x – 4)(x + 2) = 0

Solving Polynomial Equations Solving Polynomial Equations by Factoring Write the equation in standard form so that one side of the equation is 0. Factor the polynomial completely. Set each factor containing a variable equal to 0. Solve the resulting equations. Check each solution in the original equation.

Example Solve: x2 – 5x = 24 Continued

Example Solve: 4x(8x + 9) = 5

Example Solve: