Objective: Solve Applied Problems involving Quadratic Equations

Slides:



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

Chapter 2: Equations and Inequalities 2.3: Applications of Equations
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
4.5 Optimization Problems Steps in solving Optimization Problems 1.Understand the Problem Ask yourself: What is unknown? What are the given quantities?
4.7 Quadratic Equations and Problem Solving BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 General Strategy for Problem Solving Understand the.
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.
Translating Word Problems into Equations. Avoid the nervousness! Follow these steps: Read the problem carefully and figure out what it is asking you to.
1.8 INTRODUCTION TO EQUATIONS I can solve equations using tables and mental math.
9.4 – Solving Quadratic Equations By Completing The Square
Handout Solve the following applications. Draw a table or diagram when necessary.
Find the product. 1. (x + 6)(x – 4) ANSWER x2 + 2x – 24
Algebra Core Review Day 7
Introduction to Perimeter, Circumference and Area
Math 1 Warm Up In the Algebra 1 Practice Workbook on your table… Do Practice 2-2 (p. 22) #12, 16, 18, 22, 23, 24, 25, 26, 27, 30, 31, 32 Do not write.
Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs
Chapter 6 Section 6. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Applications of Quadratic Equations Solve problems involving geometric.
Translate the verbal phrase into an algebraic expression. 1. Three less than twice a number. 2. Four more than the quotient of a number and 7.
Section 2.5 Problem Solving. Objectives Apply the steps of a problem-solving strategy Solve consecutive integer problems Solve geometry problems.
Sullivan Algebra and Trigonometry: Section 1.1 Linear Equations Objectives of this Section Solve a Linear Equation Solve Equations That Lead to Linear.
Lesson 5-8: Problem Solving
Steps to Solving Word Problems 1. Use a variable to represent the unknown quantity 2. Express any other unknown quantities in terms of this variable,
Solving Quadratic Word Problems by Factoring March 11, 2014 SWBAT Solve Quadratic Word Problems by Factoring.
College Algebra Section 1.2 Linear Equations Objectives of this Section Solve a Linear Equation Solve Rational Equations Solve Applied Problems Involving.
5.6 Applications of Quadratic Equations. Applications of Quadratic Equations. We can now use factoring to solve quadratic equations that arise in application.
Copyright © 2011 Pearson Education, Inc. Slide Applications of Linear Functions Solving Application Problems 1.Read the problem and make sure.
Factoring to Solve Quadratic Equations ALGEBRA 1 LESSON 10-5 (For help, go to Lessons 2-2 and 9-6.) Solve and check each equation n = 22. – 9 =
Writing & Solving Equations
Formulas and Applications Kamal Hennayake. Introduction A formula is an equation that uses letters to express relationship between two or more variables.
Math 71 Chapter 1. Use the order of operations to simplify each expression. What is your first step? and/or
PERIMETER AND SOLUTION PROBLEMS ASSIGNMENT. 1. What is the perimeter of the below shape? 10 – 5n 12n+2 15n - 5.
Lesson 8-2 Problem Solving Objectives Students will: Solve problems by translating to quadratic equations Write an equation(s) for the situation and solve.
DO NOW ! 2 problems from last nights homework!. P ROBLEM SOLVING USING POLYNOMIAL EQUATIONS A graphic artist is designing a poster that consists of a.
STEPS IN SOLVING OPTIMIZATION PROBLEMS 1.Understand the Problem The first step is to read the problem carefully until it is clearly understood. Ask yourself:
Section Setting Up Word Problems. Lesson Objective: Students will: Learn to set up the type of complicated word problems that are often found in.
Aim: How do we solve optimization problems? A rectangular enclosure is constructed using a barn wall as one side and 63 m of fencing for the other three.
1.4 Solving Equations.
SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE
3.2.1 – Linear Systems, Substitution
Equations Quadratic in form factorable equations
Copyright © 2006 Pearson Education, Inc
Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs
Solving Quadratic Equations by the Complete the Square Method
Solving Applied Problems
Basic Algebraic Applications
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Introduction to Perimeter, Circumference and Area
Factor x2 + bx + c Warm Up Lesson Presentation Lesson Quiz.
Perimeter and Area Word Problems (Using One Variable) Taught by the Bestest of all the besterest who are not bestless, Mr. Peter Richard.
Warm-Up Solve the system by substitution..
9.3 Solving Quadratic Equations
Solve a system of linear equation in two variables
Solving Equations Using Factoring
Module 8: Lesson 8.1 Solving By Factoring
Writing and Solving Linear Equations
Precalculus Essentials
Chapter 1: Linear Functions, Equations, and Inequalities
Quadratic Applications
Problem Solving and Using Formulas
10/10/ Bell Work Write and answer the following questions.
Solving Simultaneous Equations by the Algebraic Method
Equations Inequalities Tables/Graphs Review
ONLY -7 AND 1 MAKE THE LEFT SIDE EQUAL TO THE RIGHT SIDE!
Quadratic Word Problems
Equations Quadratic in form factorable equations
Goal: The learner will find area and perimeter.
Solving Equations.
Chapter 6 Section 6.
Optimization (Max/Min)
Using Equations to Solve Word Problems
4.5 Optimization Problems
Presentation transcript:

Objective: Solve Applied Problems involving Quadratic Equations

Steps for setting up Applied Problems Read the problem carefully, perhaps two or three times. Pay particular attention to the question being asked in order to identify what you are looking for. Assign a variable to represent what you are looking for, and, if necessary, express any remaining unknown quantities in terms of this variable. Make a list of all the known facts and translate them into mathematical expressions to form an equation involving the variable. If possible, draw an appropriately labeled diagram to assist you or use a table or chart. Solve the equation for the variable and answer the question Check the answer with the facts in the problem. If it agrees, congratulations! If it does not agree, try again.

Dimensions of a Window 93. The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2 feet more than the width, what are the dimensions?

Your choice of an odd number question: