Unit 3 WORD PROBLEMS WITH LINEAR SYSTEMS. TWO IMPORTANT QUESTIONS 1.What are my two variables? 2.How are they related?

Slides:

Advertisements

Similar presentations

Solving systems of equations with 2 variables Word problems (Coins)

Advertisements

Warm-Up 5 minutes Beth and Chris drove a total of 233 miles in 5.6 hours. Beth drove the first part of the trip and averaged 45 miles per hour. Chris drove.

8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms.

Digit and Coin Problems Systems of Equations Chapter 8.

REVIEW for TEST Parallel and Perpendicular Solving Systems of Equations.

3.2 Solving by Substitution and Elimination 3.3 Application.

Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 1 3) 180 Rule for Triangles Objective-To find.

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.

Applications of Geometry Example 1: The perimeter of a rectangular play area is 336 feet. The length is 12 feet more than the width. Determine the dimensions.

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

Digit and Coin Problems

§ 3.3 Geometric Problems. Angel, Elementary Algebra, 7ed 2 Solving Geometric Problems Two angles are complementary angles if the sum of their measures.

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Graphing.

5-5B Linear Systems and Problems Solving Algebra 1 Glencoe McGraw-HillLinda Stamper.

Complete pg in Student Journal

This is Math Jeopardy! Proportions Similar Polygons Similar Triangles Ratios Word Problems Miscellaneous

Chapter 2 Sections 5-6 Problem Solving and Formulas.

Solving systems of equations with 2 variables

Basic Measurement.

Word Problems modeled by Quadratic Equations x + 1 x.

Solving Linear Systems Algebraically with Substitution Section 3-2 Pages

8-6 Digit and Value (Money)

The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle? What we know: Length.

4.2B Word Problems - Solving Linear System by Substitution.

Making Equations (2) Algebra 5 x + 7 Area = 53cm 2 The area of a rectangle. In each of the examples below, the area of the rectangle is given. Make an.

Making a decision … Now that you know 3 ways to solve a system of equations, how to choose which method to use when solving systems of equations.

Solving Word Problems Using Linear Systems

Ratio Word Problems.

Chapter 3 – Solving Linear Equations 3.7 – Formulas and Functions.

NCSC Sample Instructional Unit - Elementary Measurement Lesson 4

7-1 Ratios and Proportions Class Notes and Examples.

 Students will be able to write and solve ratios  Students will be able to write and solve proportions.

7.5 Formulas. Formulas: a formula is an equation that relates one or more quantities to another quantity. Each of these quantities is represented by a.

Solve the following word problem. Manny is two years older Enrique. The sum of the their ages is 40. How old is Manny and Enrique? Let: m = Manny’s age.

Chapter 8 Section 4 Solving System of Equations Applications and Problem Solving.

You are Master of the Word. Be sure to read the directions in each problem.

Steps for Solving Problem Solving in Linear Systems of Equations Read and try to formulate a visual picture of what the problem is talking about.

Problem Solving: Geometry and Uniform Motion. 1. Find two supplementary angles such that the measure of the first angle is three times the measures of.

Welcome Back! Please Take a Seat Geometry Ms. Sanguiliano.

Systems of Linear Equations Real-World Problems Block 45.

Solving Systems of Equations Review. Systems of Equations Applications.

Applications of Systems of Equations. Three Steps to solving applications  Step 1: NAME YOUR VARIABLES!! What are you looking for and what are you going.

§ 3.3 Problem Solving in Geometry. Geometry Blitzer, Introductory Algebra, 5e – Slide #2 Section 3.3 Geometry is about the space you live in and the shapes.

8-6 Digit and Coin Problems Steve Blaylock Lakota Schools

Warm-up 1. Solve the following system of equations by graphing: 3x – y = -3 y – 3x = Determine the solution type from the following system of equations:

Lesson Days Equations and Problem Solving Pages

3-11 MORE EQUATIONS !. HOW TO SOLVE  In some problems, we have things we do not know.  When this happens we let a letter represent the unknown (Let.

Solve the following word problem.

simplify radical expressions involving addition and subtraction.

Warm Up Solve each equation. 1. y – 4 = 3x – 8, for x

Steps to solving a word problem

MATH 1311 Section 3.5.

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

Solving Word Problems Underline important information (data, numbers, etc) Circle what you are trying to find Draw Picture Define your variable Write.

3 Solving Application Problems.

3.2 Solving by Substitution and Elimination 3.3 Application

Ifc: Ratios, Rates, Proportions

Solving Problems Involving Geometry

MATH 1311 Section 3.5.

Mixed Practice Bonus.

Linear Systems and Problem Solving

Warm-up 1. 9 – x = –

Solving Equations with Variables on Both Sides

Solving Linear Systems by Substitution

Solving Equations with Variables on Both Sides

one of the equations for one of its variables Example: -x + y = 1

Adding and Subtracting Radicals

Algebra 1 Section 2.8.

Goal: The learner will find area and perimeter.

Presentation transcript:

Unit 3 WORD PROBLEMS WITH LINEAR SYSTEMS

TWO IMPORTANT QUESTIONS 1.What are my two variables? 2.How are they related?

22 FOR 2 UNKNOWN VARIABLES WE NEED 2 EQUATIONS TO SOLVE FOR BOTH! Find a way to relate the variables by  Sum or Difference  Total Cost  Total Quantity  Complementary & Supplementary  Total Distance  Perimeter & Area

1.The sum of two numbers is 26. Their difference is 4. Find the smaller number. 2.There are 38 students in an English class. There are 8 more boys than girls. How many boys are there? EXAMPLES DON’T FORGET TO DEFINE YOUR VARIABLES!!!

3.The perimeter of a rectangle is 74. The length is 5 more than the width. What are the measures of the sides? 4.Two angles are complementary. One of them is 4 times the other. Find the measure of the smaller angle. EXAMPLES

EXAMPLE 5.A collection of nickels and quarters is worth $ There are 78 coins in all. How many of each are there?

EXAMPLE 6.There were 512 people at the Talent Show. Admission was $1.25 for adults and $0.50 for children. The receipts were $ How many of each attended?