Equations and Inequalities. Unit 8 – Solving Inequalities.

Slides:

Advertisements

Similar presentations

Equations and Their Solutions

Advertisements

Inequalities MCC7.EE4: Solving and Graphing Inequalities

Vocabulary Chapter 6.

Course 2: Inequalities Objectives:

8/8/ Inequalities. 8/8/ Bumper Cars You must be at least 130cm tall to ride the bumper cars. This can be represented by the inequality.

Lesson Objective: I can…

Solving One Step Equations and Inequalities Math 7/8.

Vocabulary inequality algebraic inequality solution set 1-9 Introduction to Inequalities Course 3.

Objective- To recognize symbols, variables, and types of sentences used in algebra. Equalities Inequalities = Equals- is the same as Congruent- same size.

Open Sentences.

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

Ch 1.4 – Equations & Inequalities

To solve and graph simple inequalities involving addition/subtraction.

InequalitiesInequalities. An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: Inequalities work like equations,

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.

Day Problems For each solution write and graph an inequality.

1.3 Open Sentences A mathematical statement with one or more variables is called an open sentence. An open sentence is neither true nor false until the.

1-5 Open Sentences Objective: To solve open sentences by performing arithmetic operations.

Chapter 1: Variables in Algebra

Equations Students will be able to solve equations using mental math, or guess and check.

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 11: Graphing. Bar Charts Pie Charts Line Graphs.

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

Algebra 1 Foundations, pg 174  Students will be able to write and identify solutions of inequalities.

Solving and Graphing Linear Inequalities. How is graphing the number line affective in helping to illustrate solving inequalities? Essential Question:

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

Inequalities Inequalities Objectives: To determine whether a number is a solution of an inequality To graph inequalities on the number line To write inequalities.

4-5 Inequalities (pages ) P6  Represent inequalities on a number line or a coordinate plane.

< > < < < < < > Solving Inequalities

Inequalities Review BY: Beverly Watola.

1-5 Equations Goals: Solve equations with one variable

ALGEBRA VOCABULARY.

Solving Inequalities Using Addition or Subtraction

1.4 – Writing Equations and Inequalities

Equalities Inequalities < Is less than = Equals- is the same as

< > < < < < < > Solving Inequalities

Inequalities and Graphs (3-1)

< > < < Solving Inequalities < < < >.

< > < < < < < > Solving Inequalities

Any mathematical sentence that has an inequality symbol.

Inequalities 12/3/2018.

6.5 Inequalities 12/3/2018.

Algebra Vocabulary.

3-1 Inequalities and Their Graphs

3-1 Inequalities and their Graphs

Exercise 2x − 3 = 9 x = 6.

Warm-up October 6, 2016 Simplify: -7D + -14D + 7 – D

Open Sentences.

Solving Linear Inequalities

1.4 – Writing Equations and Inequalities

Sec 4-4B Solve Inequalities by addition and Subtraction

< > < < < < < > Solving Inequalities

Any mathematical sentence that has an inequality symbol.

< > < < < < < > Solving Inequalities

Notes Over 1.7 Solving Inequalities

SIMPLE INEQUALITIES.

< > < < Solving Inequalities < < < >.

Notes Over 1.7 Solving Inequalities

Objective The student will be able to:

Objective Translate verbal sentences into equations and inequalities.

Course 2: Inequalities Objectives:

Algebra: Variables and Expressions

Variables and Equations

Symbols, Variables, and Types of Sentences used in Algebra.

< > < < < < < > Solving Inequalities

Solving Equations With One Variable

Objective: Write, Graph, and Solve Inequalities

Presentation transcript:

Equations and Inequalities

Unit 8 – Solving Inequalities

Vocabulary Inequality – A mathematical sentence that compares two unequal expressions using one of the symbols: < (less than) > (greater than) ≤ (less than or equal to) ≥ (greater than or equal to) ≠ (not equal to) Closed Circle  - Includes a quantity on a number line. Used with ≤ or ≥. Open Circle - Does not include a quantity on a number line. Used with < or >.

Solving Simple Inequalities - Example > = Complete with =,. > <

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. y > 7 When y = _____, y > 7 is true. The inequality y > 7 is true for any value of y that is greater than 7.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. m < 28 When m = _____, m < 28 is true. The inequality m < 28 is true for any value of m that is less than 28.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. e ≥ 15 When e = _____, e ≥ 15 is true. The inequality e ≥ 15 is true for any value of e that is greater than or equal to 15.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. z ≤ 21 When z = _____, z ≤ 21 is true. The inequality z ≤ 21 is true for any value of z that is less than or equal to 21.

Determining Solutions for Inequalities Practice Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. 1. p < 45 p could equal any number less than a > -57 a could equal any number greater than n ≤ 17 n could equal any number less than or equal to w ≥ -63 w could equal any number greater than or equal to -63

Writing Inequalities from Number Lines - Example Write an inequality for each number line using the variable a. a > 14

Writing Inequalities from Number Lines - Example Write an inequality for each number line using the variable a. a ≤ 15

Writing Inequalities from Number Lines - Practice Write an inequality for each number line using the variable a. a ≥ 11 a < 14