Review of Equations and Inequalities An equation is a mathematical statement that two qualities are equal. Linear Equation in one variable can be written.

Slides:

Advertisements

Similar presentations

Equations and Their Solutions

Advertisements

Vocabulary Chapter 6.

9.4 – Solving Absolute Value Equations and Inequalities 1.

2.4 – Linear Inequalities in One Variable

1.7 – Linear Inequalities and Compound Inequalities

Chapter 6 – Solving and Graphing Linear Inequalities

An equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value or values of the variable that.

Equality and Inequality Meeting 4. Equations An equation is a statement that two mathematical expressions are equal. The values of the unknown that make.

Linear Equations in One variable Nonlinear Equations 4x = 8 3x – = –9 2x – 5 = 0.1x +2 Notice that the variable in a linear equation is not under a radical.

Notes Over 6.3 Writing Compound Inequalities Write an inequality that represents the statement and graph the inequality. l l l l l l l

§ 2.8 Solving Linear Inequalities. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Linear Inequalities in One Variable A linear inequality in one.

1.6 – Solve Linear Inequalities A linear inequality in one variable can be written in one of the following forms, where a and b are real numbers and a.

Copyright © 2011 Pearson Education, Inc. Linear and Absolute Value Inequalities Section 1.7 Equations, Inequalities, and Modeling.

4.1 Solving Linear Inequalities

Goal: Solve linear equations.. Definitions: Equation: statement in which two expressions are equal. Linear Equation (in one variable): equation that.

Equations and Inequalities. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution.

Section 2.7 Solving Inequalities. Objectives Determine whether a number is a solution of an inequality Graph solution sets and use interval notation Solve.

Section 2.1 Solving Equations Using Properties of Equality.

 Solving Linear Inequalities CHAPTER Writing and Graphing Inequalities  What you will learn:  Write linear inequalities  Sketch the graphs.

1.3 Solving Linear Equations

Copyright © 2011 Pearson, Inc. P.3 Linear Equations and Inequalities.

GOAL Graphing linear inequalities in two variables.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Solving Inequalities and their Graphs

§ 2.2 The Addition Property of Equality. Angel, Elementary Algebra, 7ed 2 Linear Equations A linear equation in one variable is an equation that can be.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

1.6. DEFINITIONS  An equation is a statement that two expressions are equal.  Usually contains 1 or more variables  A variable is a symbol that represents.

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

1 – 3 Solving Linear Equations Objective: CA 1.0: Students solve equations and inequalities involving absolute value.

2.1 – Linear and Quadratic Equations Linear Equations.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2010 Pearson Education, Inc. All rights reserved. 2.7 – Slide 1.

Equations and Inequalities. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution.

Intro to Inequalities Unit 4 Section 4.1. Definition A statement that a mathematical expression is greater than or less than another expression.

Chapter 1.8 Absolute Value and Inequalities. Recall from Chapter R that the absolute value of a number a, written |a|, gives the distance from a to 0.

Reasoning with linear equations and inequalities Students will understand that equation is a statement of equality between two expression. Students find.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Linear Inequalities in One Variable.

Appendix A.6 Solving Inequalities. Introduction Solve an inequality  Finding all values of x for which the inequality is true. The set of all real numbers.

Algebra 1 Foundations, pg 150 Focus Question How do you write inequalities?  You can use the symbol ______________ to compare two expressions.  Students.

Solving Inequalities   Trichotomey Property- For any two real numbers, a and b, exactly one of the following statements is true: a b.  Set-Builder.

Equations and Inequalities. Unit 8 – Solving Inequalities.

Linear Inequalities in One Variable

Unit 2: Absolute Value Absolute Value Equations and Inequalities

1.7 Introduction to Solving Inequalities

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Chapter 2 Equations and Inequalities in One Variable

Properties of Real Numbers

Chapter 2: Equations and Inequalities

Solving Inequalities Using Addition or Subtraction

Solving and Graphing Linear Inequalities

3-2 Solving Inequalities Using Addition or Subtraction

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

6.1 to 6.3 Solving Linear Inequalities

3-1 Inequalities and their Graphs

6.1 to 6.3 Solving Linear Inequalities

2.1 Solving Linear Inequalities

Solving Linear Inequalities

Algebra: Equations and Inequalities

2.1 – 2.2 Solving Linear Inequalities

Equations and Inequalities

LINEAR EQUATIONS.

Solving Linear Equations and Inequalities

2.5 Absolute Value Equations and Inequalities

Unit 1 Representing Real Numbers

Is 3 a solution for the inequality x – 2 < 6?

2 Equations, Inequalities, and Applications.

Solving and Graphing Linear Inequalities

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

LINEAR EQUATIONS.

3-5 Working with Sets.

Presentation transcript:

Review of Equations and Inequalities An equation is a mathematical statement that two qualities are equal. Linear Equation in one variable can be written as a x + b = c where a  0. Examples: 5 x – 15 = 02 y – 3 = 7 x = 24 x – 5 = 7

Review of Equations and Inequalities To find a solution to these equations, find the value of x that would make this equation true. Find the solution to these. 5 x – 15 = 02 y – 3 = 7 x = 24 x – 5 = 7 Equivalent equations are equations with the same solution set.

Review of Equations and Inequalities Examples: 4 x + 3 x + 2 = 23 5 x – 3 x + 8 = x – x 7 x + 2 = 2 x – (y – 3 y) + 4 = -4 (3 y – y) y 1 / 3 x – 1 / 9 = 8 / x (25000 – x) = 1930

Review of Equations and Inequalities A linear inequality is a statement that describes how two numbers or linear expressions are related to one another. < less than >Greater than  Less than or equal to Greater than or equal to How are the following related? -1 ___ -2(-8 – 2) ____(2 – 3) | | ___ |7 – 13|

Review of Equations and Inequalities Set NotationInterval Notation a < x(a,  ) a < x < b(a, b) x < b(- , b) a  x  b[a, b] a  x[a,  ) a < x  b(a, b] a  x < b[a, b) x  b (- , b]

Review of Equations and Inequalities A linear inequality in one variable can be written in the form a x + b < c, where a, b, c are real numbers, with a  0. The symbols >, , and  may also be used. Addition Property of Inequality For all real numbers a, b, and c, the inequalities: a < b and a + c < b + c are equivalent.

Review of Equations and Inequalities Multiplication Property of Inequality For all real numbers a, b, and c, where c  0, a.the inequalities: a < b and a c < b c are equivalent if c > 0; b.the inequalities: a b c are equivalent if c < 0

Review of Equations and Inequalities Examples: