Linear Equations in One Variable -We will solve linear equations -We will solve linear equations containing fractions. -We will solve a formula for a variable.

Slides:

Advertisements

Similar presentations

1.3 Solving Equations 1.5 Solving Inequalities

Advertisements

Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 1 Section 2.5 An Introduction to Problem Solving Copyright © 2013, 2009, 2006 Pearson Education,

1 Learning Objectives for Section 1.1 Linear Equations and Inequalities The student will be able to solve linear equations. The student will be able to.

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

Chapter 1 Linear Equations and Graphs Section 1 Linear Equations and Inequalities.

Linear Systems The definition of a linear equation given in Chapter 1 can be extended to more variables; any equation of the form for real numbers.

1 1 Learning Objectives for Section 1.1 Linear Equations and Inequalities The student will be able to solve linear equations. The student will be able.

Solving Two-Step Equations

Standardized Test Practice

Chapter 1 Equations, Inequalities, and Mathematical Models 1.3 Formulas and Applications.

Section 2.5 Solving Linear Equations in One Variable Using the Multiplication-Division Principle.

3.1 Writing Equations. WARM UP Write the following verbal expressions as algebraic expressions: 1) The difference of twice a number x and 4. 2) 3 times.

2.1 – Linear Equations in One Variable

Solve Equations With Variables on Both Sides

2.5 Solve Equations with variables on Both Sides

1.4 Solving Equations ●A variable is a letter which represents an unknown number. Any letter can be used as a variable. ●An algebraic expression contains.

Math 010: Verbal expressions & Intro to Equations October 9, 2013.

§ 1.5 Problem Solving and Using Formulas. Blitzer, Algebra for College Students, 6e – Slide #2 Section 1.5 Solving Word Problems Strategy for Solving.

Chapter 1 - Fundamentals Equations. Definitions Equation An equation is a statement that two mathematical statements are equal. Solutions The values.

Section 5Chapter 7. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Applications of Rational Expressions Find the value of an.

H.Melikian/1100/041 Graphs and Graphing Utilities(1.1) Linear Equations (1.2) Formulas and Applications(1.3) Lect #4 Dr.Hayk Melikyan Departmen of Mathematics.

AF4.0 Students solve simple linear equations and inequalities over the rational numbers. California Standards.

I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.

Thinking Mathematically

1.1 Solving Equations. Today’s Learning Targets I will be abe to apply inverse opertions to isolate a variable solve multi-step equations in an algebraic.

Opener. Notes: Solving Linear Equations Rewriting Equations and Formulas Problem Solving Using Algebraic Models.

Do Now 12/16/09  Take out HW from Monday and Tuesday. Text p. 366, #16-32 even, 36 & 40 Text p. 366, #16-32 even, 36 & 40 Text p.368, #1-10 Text p.368,

1.3 Solving Linear Equations

Writing & Solving Equations

Solve Multi-Step Equations

3-2 Solving Systems Algebraically: Substitution Method Objective: I can solve a system of equations using the substitution method.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Addition Property of Equality If A, B, and C are real numbers, then the equations.

Solving Linear Equations Define and use: Linear Equation in one variable, Solution types, Equivalent Equations.

MTH 091 Sections 3.4 and 9.4 Linear Equations in One Variable and Problem Solving.

Example 2 Multiple Choice Practice

Math 71 Chapter 1. Use the order of operations to simplify each expression. What is your first step? and/or

Check it out! 1.5.1: Rearranging Formulas 1. Read the scenario below. Write an equation and use it to answer the questions that follow. In January 2011,

Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.

© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 6 Algebra: Equations and Inequalities.

Bell Ringer 2. Systems of Equations 4 A system of equations is a collection of two or more equations with a same set of unknowns A system of linear equations.

$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Writing variable equations Find variables in addition equations Find variables in subtraction.

2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.

§ 6.7 Formulas and Applications of Rational Equations.

§ 6.7 Formulas and Applications of Rational Equations.

1.4 Solving Equations.

Section P8 Modeling with Equations

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Equations with the Variable on Both Sides

Solving Linear Systems by Graphing

Solving Systems of Equations

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

2 Understanding Variables and Solving Equations.

2 Understanding Variables and Solving Equations.

Linear Equations in One Variable

Algebra: Equations and Inequalities

Solving Multi-Step Equations

1.4 Solving Equations I’ve taught you how to solve equations the “simonized” way but here’s another way of doing the same thing!

1.6 – Variables on Both Sides

Students will use inverse operations to solve one-step equations.

2 Equations, Inequalities, and Applications.

Section 6.3 “Solve Multi-Step Inequalities”

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

Solving Equations.

1.1 Using Problem Solving Strategies and Models

Solving Equations Using Multiplication and Division

Students will use inverse operations to solve one-step equations.

The Distributive Property

Presentation transcript:

Linear Equations in One Variable -We will solve linear equations -We will solve linear equations containing fractions. -We will solve a formula for a variable. -We will identify equations with no solution or infinitely many solutions

Equivalent Equations Equivalent equations – When you take an original equation and perform the same transformation to both sides.

Solving Linear Equations in One Variable. - We will solve linear euqations.

The Multiplication Property of Equality

Showing Multiplication on a balance 2x = 14

Using Properties of Equality to Solve Equations.

Solving a Linear Equation

Solving Linear Equations Involving Fractions. - We will solve linear equations with fractions

Using a Formula for a Given Result

Solving a Formula for a Variable - We will solve a formula for a variable.

Solving a Formula for a Variable

Parallel Equations - We will identify equations with no solutions or infinitely many solutions.

Applications of Linear Equations We will use linear equations to solve problems. We will ascertain linear equations from word problems.

Problem Solving with Linear Equations 1.Read the problem carefully at least twice. Attempt to state the problem in your own words and state what the problem is looking for. Let x (or any variable) represent one of the quantities in the problem. 2.If necessary, write expressions for any other unknown quantities in the problem in terms of x. 3.Write an equation in x that models the verbal conditions of the problem. 4.Solve the equation and answer the problem’s question. 5.Check the solution in the original wording of the problem, not in the equation obtained from the words. - We will use linear equations to solve problems. Strategy for solving word problems

Converting Words to expressions 4 times what number gives 20? What number divided by 5 gives 2? What number minus 8 gives 4 What number cubed gives 27 What number plus 4 gives 16 Pg 324 in your book has a more complete list.

Modeling for a word problem How much will it cost for you to drive to San Francisco, California from North Smithfield, Rhode Island? The trip is 3700 miles and your car will average 30 miles/gallon on the highway. The national average for gasoline is How many times will you have to stop for gas is your tank is 17 gallons? - We will ascertain linear equations from word problems.

Assigning x to a variable in a word problem. The sum of three consecutive odd numbers is 21, what are the three numbers?

Assigning the correct meaning to x A coach will order baseball caps from one of two companies. – Creative Caps charges a one time fee of $50, plus $5 per baseball cap. – Happy Hats charges a one-time fee of $30, plus $6 per baseball cap. a.Write an algebraic expression to represent the amount that each company charges for an order of baseball caps. b.The coach wants to buy baseball caps from the least expensive company. In terms of the number of baseball caps, when should the coach order the baseball caps from Creative Caps?