Review Quiz. Pages 182-183 105 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.

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

Solving Rational Equations and Inequalities

Warm up # 28 1.) 1. How many more days until winter break?

Lesson 6-4 Part 2: Application of Systems of Equations November 13, 2014.

Introduction to Distance-Rate-Time The following is designed to help you understand the basics of one of the popular application problems in introductory.

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

Section 7.4: Applications with Linear Systems. A hardware store orders a shipment of two types of hammers for $168. One type of hammer costs $3; the other.

Wind and Current Word Problems

Word Problems There were originally twice as many boys as girls in my Honors Geometry class. After three new girls join the class, the total number of.

This is where they start. This is where the jet catches up and overtakes the plane. This distance is d Distance=RatexTime airplane jet 192 km/h 960 km/h.

CHAPTER 7 Systems of Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 7.1Systems of Equations in Two Variables 7.2The Substitution.

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

Solving Two-Variable Systems of Linear Equations

Solving Systems of Linear Equations Digital Lesson.

Warm Up What is the LCM of 3x and –4x ? What is the LCM of 5y and 2y ?

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

College algebra 6.1 Systems of Linear Equations in Two Variables

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.

Motion. Late Start – When do they meet?  Red Guy runs 12 yd/sec  Blue Guy runs 8 yd/sec AND gets a 1 sec head start gets a 1 sec head start  When do.

5-5 Solving Rational Equations and inequalities.  Solve rational equations and inequalities.

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.

Preview Warm Up California Standards Lesson Presentation.

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.

Example 1 A train leaves Slaton traveling east at 80 kilometers per hour. An hour later, another train leaves Slaton on a parallel track at 120 km/hr.

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.

Warm–up #4 1. Suppose 42 nickels, dimes, & quarters are worth $4.80 & there are twice as many quarters as dimes. How many of each are there? Amount$/eaTotal.

£ ≈ ∑ Chapter 9: Test Your Proficiency Directions: Select a section to work on. Work out each problem on a piece of paper. Click to check your answer.

Solving Worded Problems QUADRATIC EQUATIONS 1.Write expressions for unknowns. 2.Connect exprssns to form an eqn 3.Solve equation 1.Write expressions for.

BINGO Algebra 1 Chapter 8. #1 Determine whether the given pair is a solution of the system. (6, -1); x-y=3 2x+5y=6.

8-5 Motion d=rt 9P9: Interpret systems. Types of motion Problems T1) Distance covered is equal (d = d) T2) Distance covered is equal + wind or current.

7.2 Two-Variable Linear Systems Elimination method.

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

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.

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.

Solving Real World Linear Systems of Equations with Two Variables Objective: Review writing and solving linear systems of equations with two variables.

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.

Unit I Review Lessons 4 to 8. Complete the table and write a system of equations A sailboat travels 24 mi. downstream in 3 h. The return trip upstream.

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.

Solving Application Problems Using System of Equations Section 4.3.

WARM UP 1.Solve 1.If a computer’s printer can print 12 pages in 3 minutes, how many pages can it print in 1 minute? Multiply through by x – x(x.

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

1. Solve the linear system using substitution.

Lesson 90 Warm Up Pg. 592.

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 Systems of Linear Equations

Solving Rational Equations and Inequalities

Systems of Linear Equations in Two Variables

Applications of Linear Systems

11.3 Solving Linear Systems by Adding or Subtracting

Rational Functions: Applications

2.2: Solving Equations Through Various Methods

Rational Equations and Problem Solving

Solving Systems of Equations

Algebra 1 Section 13.7.

5-A9 Wind and Current Word Problems

Word sentence: The sum of three times a number and seven is one less than twice the same number. Verb: “Is” indicates the location of the equal sign.

Algebra 1 Section 7.6.

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.

Presentation transcript:

Review Quiz

Pages

105 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 travel 20 miles down the river, if the current of the river is 3 miles per hour? 2. An airplane travels a distance of 150 miles in 2 hours while flying in a headwind of 30 miles per hour. What is the speed of the airplane in calm air? 2.5 hours

Tail Wind Head Wind With the WindAgainst the Wind Speeds you up Slows you down With the Wind Downwind Tailwind Against the wind Upwind Headwind

5

DEFINE THE VARIABLES Or Make a Table p = speed of the plane w = speed of the wind d = distance s = speed/rate t = time Word Problem Basics

Generic Box dst p + w p - w

Come fly with me! Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air.

DEFINE THE VARIABLES Or Make a Table Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

Define the VARIABLES p = speed of the plane d = distance Word Problem Basics

std p (p+40) p (p-40) Come fly with me! Or Make a Table Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air.

IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

Come fly with me!

IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

Come fly with me! Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air. The speed of the plane in calm air is 600 mph.

IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

Downstream - Upstream - With the Current Against Current Speeds you up Slows you down With the current or Downstream Against the current or Upstream

With the current, downstream, with the wind, downwind all represent faster speeds since the speed is being increased by the wind or current of the water. Against the wind, upwind, upstream, against the current all represent the speed being slowed by the wind or current of the water.

IDENTIFY VARIABLES d = distance s = speed/rate t = time b = speed of the boat c = speed of the current Word Problem Basics

Generic Box std b + c b - c

Let’s Canoe! A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water.

IDENTIFY VARIABLES b = speed of the boat d = distance Word Problem Basics

std b + 433(b+4) b - 455(b-4) Write a COMPLETE SYSTEM A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water.

Algebraically SOLVE the SYSTEM.

CLEARLY ANSWER the question in WORDS. A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water. The speed of the boat in still water is 16-km/hr

IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

Homework Page 191 # 24 Page 195 # 40 Page 197 # 46 Example page 183