Modeling and Equation Solving

Slides:

Advertisements

Similar presentations

Solving Quadratic Equations Using the Zero Product Property

Advertisements

 Factor each of the following expressions:.  Finish Section 6-2 Notes (Example 4, You-Try #4)  Review Chapter 5 Test  Section 6-3 Notes  Homework.

Solving Quadratic Equations Algebraically Lesson 2.2.

Solving Quadratic Equations by Factoring Algebra I.

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =

7.1 – Completing the Square

Do Now from 1.1a… Solve algebraically and graphically…

Objectives Fundamental Theorem of Algebra 6-6

Pre-Calculus Chapter 1 Section 1 & 2 Modeling with Equations and Solving Functions and Their Properties

Do Now: Factor x2 – 196 4x2 + 38x x2 – 36 (x + 14)(x – 14)

Notes - Solving Quadratic Equations in Factored Form If ab = 0, then a = 0 or b = 0 If the product of two factors is zero, then at least one of the factors.

OLGT: Solving Quadratic Equations Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. 1.5(x+3) +

DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

6.6 The Fundamental Theorem of Algebra

Algebra II Honors POD Homework: p odds, odds (you must use completing the square), and 77, 83 Find all real solutions for the following:

Solving Quadratic Equations. Solving by Factoring.

Review of Radicals and Quadratic Equations Lesson 9.1.

Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.

8-2B Solve Quadratic Equations by Factoring

Modeling and Equation Solving Section 1.1.  Mathematical structure that approximates phenomena for the purpose of studying or predicting behavior  The.

Pg. 97 Homework Pg. 109#24 – 31 (all algebraic), 32 – 35, 54 – 59 #30#31x = -8, 2 #32#33 #34#35 #36#37x = ½, 1 #38#39x = -1, 4 #40#41 #42 x = -3, 8#43y.

5 – 2: Solving Quadratic Equations by Factoring Objective: CA 8: Students solve and graph quadratic equations by factoring, completing the square, or using.

5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.

Do Now 1) Factor. 3a2 – 26a + 35.

Solving Quadratic Equations by Factoring. The quadratic equation is written in the form ax 2 + bx + c = 0 To solve quadratic equations by factoring we.

10.6 – Solving Equations by Factoring Definitions of the Day (DODs) Zero Product Property.

2.1 – Linear and Quadratic Equations Linear Equations.

Notes Over 5.6 Quadratic Formula

Solving Quadratic Equations Using the Zero Product Property March 18, 2014.

Solve polynomial equations with complex solutions by using the Fundamental Theorem of Algebra. 5-6 THE FUNDAMENTAL THEOREM OF ALGEBRA.

Math I UNIT QUESTION: What do solutions of equations represent? Standard: MM1A3 Today’s Question: How do we solve quadratic equations algebraically?

Warm Up Finish your test If you already finished, begin looking at 9.1 – Review of Radicals You can start your homework after you have read the section.

CHAPTER 9 LESSON 4 SOLVE POLYNOMIAL EQUATIONS in FACTORED FORM.

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

10.6 solving quadratic equations by factoring Solve x 2 + 2x – 3 using the quadratic formula X = 1 & -3 Now, factor the same equation (x + 3)(x – 1) Set.

Notes Over 9.4 Checking a Solution Using a Graph The solution, or roots of an equation are the x-intercepts. Solve the equation algebraically. Check the.

Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.

8-2B Solve Quadratic Equations by Factoring Algebra 1 Glencoe McGraw-HillLinda Stamper.

WARM UP What are the solutions of each equation? 1.) x = 4 2.) x = 0 3.) x 2 – 49 = 0.

2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:

Skill Check Factor each polynomial completely.. 5-1: Solving Quadratic Equations by Factoring By Mr. Smith.

Notes P.5 – Solving Equations. I. Graphically: Ex.- Solve graphically, using two different methods. Solution – See graphing Calculator Overhead.

Solve the following quadratics

7.3 Solving Equations Using Quadratic Techniques

Using the zero product property to solve equations

5.2: Solving Quadratic Equations by Factoring

5.2 Solving Quadratic Equations by Factoring

Mathematical Models 1.1 Includes…geometric formulas, regression analysis, solving equations in 1 variable.

M3U5D5 Warmup Simplify the expression.

Functions and Graphs Objective: Students will be able to identify different types of graphs and evaluate different properties about the graphs.

A quadratic equation is written in the Standard Form,

Unit 7 Day 4 the Quadratic Formula.

5.6 – The Quadratic Formula And Ch 5 Review

Solve Linear Systems Algebraically (part 2) Elimination

Solving Quadratic Equations by Factoring March 16, 2015

Apply the Fundamental Theorem of Algebra

Notes - Solving Quadratic Equations in Factored Form

6.3 Solving Quadratic Equations by Factoring

Using Factoring To Solve

Solving Quadratics by Factoring

Standard Form Quadratic Equation

Solving Quadratic Equations

Warm-Up 5 minutes Factor the following expressions: 2) x2 - 3x

Bellwork: 2/13/18 Find each product.

Warm Up Do Objective 1b, Page 14 in the End of Course Warm Up Booklet

Algebra 1 10/17/16 EQ: How do I solve 2 and multi step inequalities?

Warm up Factor Completely 5x2 – 13x + 6 x2 – 9y2 3) y2 + 2y – 48

9-5 Factoring to Solve Quadratic Equations

Objective SWBAT solve polynomial equations in factored form.

Solving Quadratic Equations by Factoring March 11, 2016

Presentation transcript:

Modeling and Equation Solving 1.1 Day 2 Modeling and Equation Solving

The Zero Factor Property A product of real numbers is zero if and only if at least one of the factors in the product is zero. If a·b = 0, then a = 0 or b = 0.

Solve by Factoring. x2 – 5x + 6 = 0 (x – 3)(x – 2) = 0 x = 3 or x = 2 6x3 – 11x2 – 10x = 0 x(6x2 – 11x – 10) = 0 x(2x – 5)(3x + 2) = 0 x = 0 or x = 5/2 or x = -2/3

Quadratic Formula

Fundamental Connection

Solve Algebraically. Check your answer either algebraically or graphically.

Solve Graphically.

Application The engineers at an auto manufacturer pay students $0.08 per mile plus $25 to road test their new vehicles. Let p = pay and m = number of miles driven Model the problem with an equation. p = 25 + .08m How much did the auto manufacturer pay Sally to drive 440 miles in one day? John earned $93 test-driving a new car in one day. How far did he drive?

Comparing Pizzas

Homework Page 83 #20-22, 25-28, 29-43odd, 47