To Start:  Simplify the following:  6(a + 10) =  -2(y – 2) =  (5 + w)5 = 6a + 60 -2y + 4 25 + 5w.

Slides:

Advertisements

Similar presentations

Multiplication and Division

Advertisements

Chapter 1 Section 3 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

SOLUTION EXAMPLE 1 A linear system with no solution Show that the linear system has no solution. 3x + 2y = 10 Equation 1 3x + 2y = 2 Equation 2 Graph the.

Vocabulary Chapter 6.

1.8 INTRODUCTION TO EQUATIONS I can solve equations using tables and mental math.

1-8 An Introduction to Equations

Solving One-Step Equations and Inequalities

Lesson 2.4 Variables and Equations. Types of equations An equation is a mathematical sentence with an equal sign.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

Warm Up Classify the #’s 1 and 2 as true, false, or open? = x – 14 = Is x = 6 a solution of the equation 32 = 2x

Solutions to Equations and Inequalities Lesson 7.01.

1-8 An Introduction to Equations. Vocabulary Equation: A mathematical sentence that uses an equal sign. Open Sentence: An equation is an open sentence.

TABLES AND VALUES Section 1.5. Open Sentence Equation.

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

Algebra Equations Lesson 1-7 Pages Equations An Equation is a sentence that contains an equals = sign. The equals = sign tells you that the expression.

Advanced Algebra - Trigonometry Objective: SWBAT solve linear equations. 1.

Martin-Gay, Beginning Algebra, 5ed 22 Location of NewportD1 Location of GatlinburgC2 Location of RobbinsvilleA5.

Copyright © Ed2Net Learning, Inc.1 Properties of Numbers Grade 7 Pre-Algebra.

Chapter 5 Analytic Trigonometry Sum & Difference Formulas Objectives:  Use sum and difference formulas to evaluate trigonometric functions, verify.

Chapter 1 Section 3. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Evaluate algebraic expressions, given values for the variables.

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.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 Real Numbers and Introduction to Algebra.

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

Chapter 1: Variables, Function Patterns, and Graphs 1.1 Using Variables.

Equations and Solutions Core Focus on Introductory Algebra Lesson 3.1.

2.4 Equations with Variables on Both Sides To solve an equation with variables on both sides, you must use the Addition or Subtraction Properties of Equality.

Using Number Sense to Solve One-Step Equations Lesson 2-5.

1.7 Intro to Solving Equations Objective(s): 1.) to determine whether an equation is true, false, or open 2.)to find solutions sets of an equation 3.)to.

Miss Tilton.  Equation: a math sentence with an equal sign  7x = – 35  Solution: a value for a variable that makes an equation true.  7x = – 35 

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

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

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.

Equations and Inequalities. Unit 8 – Solving Inequalities.

OTCQ Simplify 6÷ 2(3) + (1 - 32)

Using Number Sense to Solve One-Step Equations

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

Addition and Subtraction

Using Number Sense to Solve One-Step Equations

Multiplication and Division

1-5 Equations Goals: Solve equations with one variable

TYPES OF SOLUTIONS OF LINEAR EQUATIONS

Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.

Solving Algebraic Equations

What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.

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

Section 1-3 Equations.

2 Understanding Variables and Solving Equations.

Equations and Inequalities

Objective translate verbal sentences into equations.

Solve Special Types of Linear Systems

1-8 An Introduction to Equations

SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES

Section 2.4 Variables and Equations

Do Now Evaluate 9h + h if h = 2.1 Evaluate 2 (4 + g) 2 If g = 6.

Do Now 10/11/11 In your notebook, describe the PROCESS (steps you would take) to solve the following question. Then solve. What is this an example of?

Unit 4. Day 13..

Objective Translate verbal sentences into equations and inequalities.

Algebraic Expression A number sentence without an equal sign. It will have at least two terms and one operations.

Algebra 1 Section 2.4.

Algebra: Variables and Expressions

Algebra 1 Section 2.7.

Variables and Equations

To Start – 10 Points!! Simplify the following:

Warm Up Tonight’s Homework: 1-8 Lesson Check(pg 56)

Practice sheet 4-1 Go over Homework.

Graph Linear Inequalities in Two Variables

BELL RINGER Go over Homework.

To Start: 15 Points Evaluate: * 6 – 2 3(6 +2) – 2 3{6 +(3 * 4)}

Presentation transcript:

To Start:  Simplify the following:  6(a + 10) =  -2(y – 2) =  (5 + w)5 = 6a y w

Chapter 1: Foundations for Algebra Section 1.8: An Introduction to Equations

Equations  Equation – a mathematical sentence that uses an equal sign (=).  Open Sentence – an equation that contains one or more variables and may be true or false depending on the values of its variables.  Is the equation true, false, or open? Explain.  =  7 * 8 = 54  2x – 4 = 10 True False Open

Equations  A Solution of an equation containing a variable is a value of the variable that makes the equation true.  Is x = 5 a solution of the equation 32 = 2x + 12?  32=2(5) +12  32=  NO!  Is m = 2 a solution of the equation 2m – 3 = 1?  2(2)-3=1  4-3=1  YES!!

Equations  Tell whether the given number is a solution of each question:  8x + 5 = 29;3  8(3)+5=29  24+5=29?  YES!  5b+1=16;-3  5(-3)+1=16  -15+1=16?  NO!  -6b+5=1;1/2  -6(1/2)+5=1  -3+5=1?  NO!

Writing an Equation  An art student wants to make a model of the Mayan Great Ball Court in Chichen Itza, Mexico. The length of the court is 2.4 times its width. The length of the student’s model is 54 in. What should the width of the model be?  Length = 2.4(w)  54=2.4(w)  w=22.5!

Homework!!!!  1-8 Worksheet:  1-13, 18, 19, 22-25, 44