Quadratic Inequalities First day: Review inequalities on number lines. Review inequalities of linear equations Review inequalities of systems of linear.

Slides:

Advertisements

Similar presentations

Polynomial Inequalities in One Variable

Advertisements

Solve a System Algebraically

LIAL HORNSBY SCHNEIDER

9.4 – Solving Absolute Value Equations and Inequalities 1.

Table of Contents Compound Linear Inequalities: Solving Algebraically Example: Algebraically solve, - 5 < 2x + 3  8. First break the compound inequality.

Essential Question: What is one important difference between solving equations and solving inequalities?

1.8 Solving Absolute Value Equations and Inequalities

EXAMPLE 6 Use a quadratic inequality as a model The number T of teams that have participated in a robot- building competition for high school students.

Solving Systems Graphically Page 1. In 5-13, solve each quadratic-linear system graphically, showing the graphs of both equations on the same axes for.

Unit 1 Test Review Answers

Linear Inequalities Foundation Part I. An INEQUALITY shows a relationship between two variables, usually x & y Examples –y > 2x + 1 –y < x – 3 –3x 2 +

Warm UP: Solve and check: 1) 3n – 7 = 262) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check:

6-7 Graphing and Solving Quadratic Inequalities

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.8 – Graphing and Solving Quadratic.

Quadratic Inequalities Lesson Definition Recall the quadratic equation ax 2 + bx + c = 0 Replace = sign with, ≤, or ≥ makes it a quadratic inequality.

Chapter 3 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Polynomial and Rational Inequalities.

Solving Inequalities Algebraically Section P.6 – the last section of the chapter!!!

Chapter 1.7 Inequalities. An inequality says that one expression is greater than, or greater than or equal to, or less than, or less than or equal to,

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 1 Equations and Inequalities Copyright © 2013, 2009, 2005 Pearson Education, Inc.

Chapter 1 : Functions Sept 29, Solving Quadratic Inequalities Graphically 1.Write in standard form F(x) > 0. 2.Factor if possible. Find zeros of.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

2.4 Solve Polynomial Inequalities Inequalities Test: 2/26/10.

Linear Inequalities And Absolute Value Solving Inequalities Multiplication/Division “ALGEBRA SWAG” “ALGEBRA SWAG” -

EXAMPLE 6 Use a quadratic inequality as a model The number T of teams that have participated in a robot- building competition for high school students.

6.5 Solving Inequalities by Factoring. Steps to Solve To solve an inequality by factoring, treat the inequality like an sign and solve. Make sure to set.

“Teach A Level Maths” Vol. 1: AS Core Modules

P.5P.5 Solving Inequalities Algebraically and Graphically.

1.7 Linear Inequalities.  With an inequality, you are finding all values of x for which the inequality is true.  Such values are solutions and are said.

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

Solving Quadratic Inequalities Algebraically MM2A4. Students will solve quadratic equations and inequalities in one variable.MM2A4. Students will solve.

Chapter 2 Polynomial and Rational Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Polynomial and Rational Inequalities.

9.3 – Linear Equation and Inequalities 1. Linear Equations 2.

2.1 – Linear and Quadratic Equations Linear Equations.

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

Word Problem worksheet questions

Math 20-1 Chapter 9 Linear and Quadratic Inequalities 9.2 Quadratic Inequalities in One Variable Teacher Notes.

SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.

Quadratic Inequalities You can solve a quadratic inequality algebraically by factoring. Just like solving a quadratic equality we set it = to 0. we move.

Solving a Linear Inequality. Solving an Inequality In order to find the points that satisfy an inequality statement: 1. Find the boundary 2. Test every.

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

Polynomial Inequalities 2.7. Definition of a Polynomial Inequality A polynomial inequality is any inequality that can be put in one of the forms f(x)

Chapter 4 Lesson 4 Additional Equations and Inequalities.

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

Quiz P (-3 – 4i)(1 + 2i) = ? (2 – 3i) – (-4 – 5i) = ? 3.

NOTES 0-5C QUADRATIC FORMULA Student Learning Goals: Students will be able to solve quadratic equations using the quadratic formula.

Warm up – Solve the Quadratic

Solving Inequalities Algebraically

3.3 – Solving Systems of Inequalities by Graphing

Quadratic Inequalities with 1 Variable (Interval analysis)

6-6 Systems of Linear Inequalities

10.8 Systems of Second-Degree Equations and Inequalities

Graphing and solving quadratic inequalities

6-7 Graphing and Solving Quadratic Inequalities

Solving Linear Equations

Graphing Quadratic Inequalities

Quadratic Inequalities

6-5 Linear Inequalities.

Take out Friday’s Practice Worksheet!!!

Solving Quadratic Inequalities algebraically

Notes P.6 – Solving Inequalities

Solving Quadratic Inequalities (3.2.5)

6.5 Solving Inequalities by Factoring

Solving Quadratic Equations by Factoring

Solve a quadratic equation having two solutions

Solving Linear Equations by Graphing

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Algebra 1B – Name: _________________________

How do we solve quadratic inequalities?

Warm up – Solve the Quadratic

Factorise and solve the following:

Presentation transcript:

Quadratic Inequalities First day: Review inequalities on number lines. Review inequalities of linear equations Review inequalities of systems of linear equations. Do inequalities of quadratic functions.

Quadratic Inequalities Second day – Inequalities of Quadratics: (using Set B on pages 100 & 101) Are the points part of the solution set? Match graph to equation (1 – 3) Match system of inequalities to graph (13 – 18) Solve algebraically (22 – 31)

Steps to Solve Inequality Algebraically 1. Set the equation equal to zero 2. Find the zeros, which breaks the x-axis into three parts 3. Put the inequality sign back into the equation. 4. Select a value of x in each part from step 2, put it into the original equation, and see if each value of x makes the equation true or not

Quadratic Inequalities Third day – Inequalities of Quadratics: Graph the inequality (4 – 12) Graph system of inequalities (19 – 21) Solve graphically (32 – 35)

Steps to Solve Inequality Graphically: 1. Set the equation equal to zero 2. Find the zeros, which breaks the x-axis into three parts 3. Graph 4. Put the inequality sign back into the equation. 5. Look at the graph to determine values of x that satisfy the original equation

A projectile is fired vertically into the air. Its motion is described by h = -16t t where h is the projectile’s height (in feet) after t seconds.  During what time interval(s) will the height of the projectile be below 1024 feet?  During what time interval(s) will the height of the projectile be above 1024 feet?

 Page 336 of Alg II book

Practice  Page 98 & 99, # 2, 3, 8 – 10 all, 12, 15, 18, 19 – 21 all, 24, 27, 28 – 36 all (do some in class)