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.

Slides:

Advertisements

Similar presentations

Solve a System Algebraically

Advertisements

7-5 solving quadratic equations

WARM UP 4 PRODUCT OF POWERS Write the expression as a single power of the base (LESSON 8.1). x2 • x5 (-5) • (-5)8 x2 • x4 • x6 x • x4 • x3.

Graphs of Equations Finding intercepts of a graph Graphically and Algebraically.

If b2 = a, then b is a square root of a.

Solving Quadratic Equations Tammy Wallace Varina High.

7.1 – Completing the Square

7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

Solving Quadratic Equations by the Quadratic Formula

Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using.

Chapter 4 – Graphing Linear Equations 4.7 – Solving Linear Equations Using Graphs.

Using the factoring method, what are the solutions of y = x 2 + 5x + 6.

Solving Quadratic Equations

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

Objective - To use the discriminant to determine the number of real solutions for a quadratic. Quadratic FormulaDiscriminant Used to find the roots of.

Algebra 1B Chapter 9 Solving Quadratic Equations By Graphing.

MAT 150 – Algebra Class #9 Topics: Solving Quadratics by Factoring Square Root Completing the Square Quadratic Formula Solving quadratics having complex.

MM2A4 Students will solve quadratic equations and inequalities in one variable. MM2A4d Solve quadratic inequalities both graphically and algebraically.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

Graph the following lines on the same coordinate plane. y = 2x - 1

Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.

The Quadratic Formula & Discriminant Essential question – How do you solve a quadratic equation using the Quadratic Formula?

Solving Quadratic Equations by Graphing!. Quadratic functions vs. Quadratic equations Quadratic fxns are written in the following form f(x) = ax² + bx.

6-2 Solving Quadratic Equations by Graphing

To add fractions, you need a common denominator. Remember!

Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing.

Roots, Zeroes, and Solutions For Quadratics Day 2.

ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.

Bell Work Solve the Equation by Factoring or using Square Roots: Solve the equation by using the quadratic formula: 3. Identify the parts of a parabola:

11-2 Solving Quadratic Equations By Graphing

Essential Questions How do we identify the multiplicity of roots?

2.1 – Linear and Quadratic Equations Linear Equations.

6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.

Review: 6.5e Mini-Quiz 1. Solve: 16x 2 – 24x = – 4x Solve: (x – 3)(x – 2) = 30.

Notes Over 5.6 Quadratic Formula

Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.

Solving Systems of Equations

Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.

ALGEBRA 1 SECTION 10.7 Interpret the Discriminant Big Idea: Determine the number of solutions to a quadratic equation. Essential Question: How do you use.

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

EXAMPLE 1 Solve an equation with two real solutions Solve x 2 + 3x = 2. x 2 + 3x = 2 Write original equation. x 2 + 3x – 2 = 0 Write in standard form.

1.8 Solving Absolute Value Equations and Inequalities Objectives: Write, solve, and graph absolute value equations and inequalities in mathematical and.

Unit 3.3- Polynomial Equations Continued. Objectives  Divide polynomials with synthetic division  Combine graphical and algebraic methods to solve polynomial.

10.3 Solving Quadratic Equations – Solving Quadratic Eq. Goals / “I can…”  Solve quadratic equations by graphing  Solve quadratic equations using.

SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA. USE THE DISCRIMINANT TO DETERMINE THE NUMBER AND TYPE OF ROOTS OF A QUADRATIC EQUATION. 5.6 The.

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

Warm Ups Term 2 Week 6.

3-2 Solving Linear Equations by Graphing

10.8 Systems of Second-Degree Equations and Inequalities

Solve an equation with two real solutions

Notes Over 4.7 Solving an Equation Graphically

A quadratic equation is written in the Standard Form,

Solving Quadratic Equations by Graphing

Solve x2 + 2x + 24 = 0 by completing the square.

9.3 Solving Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Quadratic Functions and Equations

Solving Systems of Linear and Quadratic Equations

Systems of Linear and Quadratic Equations

Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

(Please have your homework out)

Solving Systems of Linear and Quadratic Equations

Solving Simultaneous equations by the Graphical Method

Solving Linear Equations by Graphing

Chapter 8 Systems of Equations

1.) What is the value of the discriminant?

Presentation transcript:

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 solutions graphically.

Notes Over 9.4 Checking a Solution Using a Graph Solve the equation algebraically. Check the solutions graphically.

Notes Over 9.4 Checking a Solution Using a Graph Solve the equation algebraically. Check the solutions graphically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Solving an Equation Graphically Solve the equation graphically. Check the solutions algebraically.

Notes Over 9.4 Using Quadratic Equations in Real Life 7. Algebraically check the solution in Example 3. Registration appears to be about 210 dollars.

Notes Over 9.4