Solving Application Problems Using System of Equations Section 4.3.

Slides:

Advertisements

Similar presentations

Distance-Rate-Time Applications Example 1: Amy rides her bike to work in 30 minutes. On the way home she catches a ride with a friend and arrives home.

Advertisements

Work problems Mr. Dodson can paint his house by himself in 4 days. His son needs two additional days to complete the job if he works by himself. Find how.

Over Lesson 6–3. Splash Screen Solving Systems with Elimination Using Multiplication Lesson 6-4.

Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.

Work problems #22: An experienced bricklayer constructs a small wall in 3 hours. The apprentice (you) completes the job in 6 hours. Find how long it takes.

Real World Problems MA.912.A.5.7 Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).

Warm-Up A child’s ticket costs $6 for admission into the movie theater. Adult tickets cost $15. How many of each did a family get if they spent $63 for.

Wind and Current Word Problems

Solve Rational Expressions

Algebra 7.3 Solving Linear Systems by Linear Combinations.

Applications of Linear Systems (For help, go to Lesson 2-5.) 1.Two trains run on parallel tracks. The first train leaves a city hour before the second.

Solving Systems of Equations

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

4.3 Application problems dealing with systems of linear equations.

Chapter 7 Section 7.

A first number is seven greater than a second number. Twice the first number is four more than three times the second number. What are the numbers? 4.3.

When solving an application that involves two unknowns, sometimes it is convenient to use a system of linear equations in two variables.

§ 3.2 Problem Solving and Business Applications Using Systems of Equations.

Solving Systems Word Problems. Steps for Solving Word Problems Step 1: Define the 2 variables Step 2: Set up your 2 equations Step 3: Solve the system.

3.2 (day 3) Solving Systems of Equations Applications (word problems)

Applications for Systems of Equations Algebra I. Example #1  Flying to Ankara with a tailwind a plane averaged 368 mph. On the return trip the plane.

Can I use elimination to solve this system of equations? 2x + y = 23 3x + 2y = 37.

Using Linear Systems to Solve Application Problems:  1. Define the variables. There will be two unknown values that you are trying to find. Give each.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 4 Systems of Linear Equations and Inequalities.

LINEAR SYSTEMS – Word Problems There are 3 types of problems we will look at : 1. Plane / Boat problems 2. Money problems 3. Number problems.

A set of linear equations involving the two variables A solution is the intersection of the two lines. One of three things can happen: 11.1 Systems of.

Preview Warm Up California Standards Lesson Presentation.

When solving an application that involves two unknowns, sometimes it is convenient to use a system of linear equations in two variables.

1.4 Setting Up Equations; Applications. Verbal Description Language of Math Mathematical Problem Solution Real Problem.

KAYAKING EXAMPLE 4 Write and solve a linear system During a kayaking trip, a kayaker travels 12 miles upstream (against the current) and 12 miles downstream.

Lesson 6-4 Warm-Up.

Warm Up Simplify each expression. 1. 3(10a + 4) – (20 – t) + 8t 3. (8m + 2n) – (5m + 3n) 30a t 3m – n 4. y – 2x = 4 x + y = 7 Solve by.

Motion Problems(wind/water) Review Homework 191 # # # 46.

Systems of Linear Equations and Problem Solving. Steps in Solving Problems 1)Understand the problem. Read and reread the problem Choose a variable to.

Review Quiz. Pages mph Practice Problems 1.Carrie can row a boat at a rate of 5 miles per hour in calm water. How long will it take her to.

D = r . t r = Solve for rate Motion Word Problems - continued

6-5 Applying Systems 9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically.

Warm Up  If x = 3, y = 4, and z = 5, solve the expression.  1.) x + y + z  2.) z(x + y)  3.) y – z * x.

Chapter Seven 7.2 – Systems of Linear Equations in Two Variables.

Section 7 – 4 Systems of Linear Equations (Word Problems) Objective: To write and solve systems of linear equations.

Slide 1- 1 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Solving Systems of Equations by Elimination (6-3, 6-4) Objective: Solve systems of equations by using elimination with addition, subtraction, and multiplication.

Applications of Linear Systems Section 6-4. Goals Goal To choose the best method for solving a system of linear equations. Rubric Level 1 – Know the goals.

Applications of Linear Systems Objective: To choose the best method for solving a system of linear equations.

Word Problem Day! With a tailwind, an airplane makes a 900-mile trip in 2.25 hours. On the return trip, the plane flies against the wind and makes the.

Elimination Using Multiplication

Solving Systems of Equations and Inequalities Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Graphing Substitution.

Notes Over 3.2 Solve the equation. Notes Over 3.2 Solve the equation.

1. Solve the linear system using substitution.

Summary of Methods Substitution: Requires that one of the variables be isolated on one side of the equation. It is especially convenient when one of the.

Solving Rational Equations

Systems of Linear Equations in Two Variables

Systems of Linear Equations and Problem Solving

Please close your laptops

11.3 Solving Linear Systems by Adding or Subtracting

1.3 Solving with Variables on Both Sides

Elimination Using Multiplication

Warm Up Lesson Presentation Lesson Quiz

Solving Systems of Equations

Solve Linear Systems by Adding or Subtracting

5-A9 Wind and Current Word Problems

College Algebra Chapter 5 Systems of Equations and Inequalities

Class Greeting.

Section 8.4 Chapter 8 Systems of Linear Equations in Two Variables

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Solving Application Problems Using System of Equations

Presentation transcript:

Solving Application Problems Using System of Equations Section 4.3

Problem solving procedure 1. Select a variable to represent each unknown. 2. Write a system of equations. (# of equations is the # of variables) 3. Solve the system. 4. Answer the question (include units if applicable)

Examples, from p 231 #12 A store has a clearance sale so that all t- shirts sell for $12 and all shorts sell for $15. the day the sale began, 57 clearance items sold (t-shirts and shorts) for a total of $747. How many t-shirts and how many shorts were sold?

#29 A boat travels 36 miles upstream in 3 hours. Going downstream, it can travel 48 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water. #32 If a plane can travel 320 miles per hour with the wind and only 280 mph against the wind, find the speed of the wind and the speed of the plane in still air.

#33 How many milliliters of a 55 HCl mixture and a 20% HCl mixture must be combined to get 10 milliliters of 12.5% HCl mixture? #34 How much of a 45% saline solution and a 30% solution must be mixed to produce 20 liters of a 39% solution?