7.5 SKM & PP 1 Systems of Equations. 7.5 SKM & PP 2 Word Problem Basics IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM.

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

I have to solve for WHAT? Kinematics Equations.

OBJECTIVES © 2010 Pearson Education, Inc. All rights reserved 1 Applications of Linear Equations Learn procedures for solving applied problems. Use linear.

Applications of Systems of Linear Equations Example 1: Steve invested $12,000 for one year in two different accounts, one at 3.5% and the other at 4%.

Example 1 A helicopter leaves an airport and flies north at 180 miles per hour. An hour later, an airplane leaves the airport flying in the same direction.

Motion Word Problems Students will solve motion problems by using a Guess & Check Chart and Algebra.

Pamela Leutwyler. A B Town A is exactly 100 miles from Town B.

OBJECTIVE: SOLVE WORD PROBLEMS INVOLVING UNIFORM MOTION Motion in Opposite Directions.

Classic Math Problems with Distance, Rate, and Time

3.4 Rates 1. Solve problems involving two objects traveling in opposite directions. 2. Solve problems involving two objects traveling in the same direction.

Tuesday, October 19 Fill in planner –Test on Thursday! –Review Day Bell work –On a piece of loose leaf paper, describe a situation from your life which.

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

MT 8.3: Working with Rate, Time, and Distance The formula that has to be remembered for this section is… R ● T = D (Rate x Time = Distance) There are four.

Algebra 7.3 Solving Linear Systems by Linear Combinations.

Tool Bag Formulas, equations, Vocabulary, etc. Here’s How…Notes & Examples Title: Name Date Period 5-2 (Part 3): Rates Using Bar Models ObjectiveTo use.

A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true. A solution to two equations (1,

Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.

T = 5 x = 9 x = 6/5 Solve ANSWER How long would it take you To travel 2 miles going 60mph?. 2 minutes.

Quiz Thursday (Algebra range – pages excluding and starred problems)

A passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling.

Algebra 1 Qtr 2. Assessment Practice. 1.) WHAT IS THE Y-INTERCEPT OF THE GRAPH? A) (0,1) B) (1,0) C) (0,-3) D) (-3,0) The y-intercept is -3 and the point.

Problem Solving with Systems of Equations in Two and Three Variables Advanced Math Topics Mrs. Mongold.

Algebra Motion Problems (Rate-Time-Distance). The Formula Rate ● Time = Distance Average speed Elapsed timeLinear Distance 50 mph ● 3 hours = 150 miles.

Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.

More applications of Linear Equations

Rules Each team will start with 300 points. Before each question, you will wager 30 or 50 points. You will earn those points if you are correct and you.

Word Problems: Distance, rate and time Type A: Same – Direction of travel A train leaves a train station at 1 pm. It travels at an average rate.

3.6 Distance. 3.6 – Equations & Problem Solving Goals / “I can…” Define a variable in terms of another variable Model distance-rate-time problems.

Jeopardy $100 Expressions, Equations, & Functions Linear Equations Linear Functions Equations of Linear Functions Linear Inequalities $200 $300 $400 $500.

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.

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.

4-3 Solving Multiplication Equations Standard : PFA Indicator: P9 (same as 4-2)

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.

4.3c Algebra 2.

Copyright © Cengage Learning. All rights reserved. Equations and Inequalities 2.

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.

Collision Course An Investigation Collision Course Two cars are on a collision course, heading straight at each other. One car is traveling at 50 miles.

LESSON 12-1 INVERSE VARIATION Algebra I Ms. Turk Algebra I Ms. Turk.

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.

Warm Up David took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours driving, what.

Use Problem Solving Strategies and Models. The driving distance between Boston, MA and Cleveland, OH is about 660 miles. If you drive this trip in a total.

Answer the Tuesday Question on your bellwork page. BELLWORK

Chapter 3: Solving Equations 3.6 Equations & Problem Solving.

2.5 Day 3 Uniform Motion. Objectives: to model real world situations with one variable equations Do Now: 1.Take out homework 2.Check answer from answer.

Objective 2 Days The learner will solve real-life problems using equations (d=r*t)

HW: Worksheet Aim: How do we solve fractional equation?

Solving Rational Equations

SECTION 2-2 : SOLVING TWO STEP EQUATIONS

M3U5D5 Warmup Simplify the expression.

1-1-4 Kinematics Equations

MS Algebra – Ch. 7.6 Uniform Motion Problems

Solve ANSWER x = 9 ANSWER t =

Equations Regents Review #2 Roslyn Middle School

Problem Solving with Systems of Equations in Two and Three Variables

Solving Equations Containing

D = R x T Review 180 miles 75 mph 5 hours 100 miles

Animation in PowerPoint

MT 8.3: Working with Rate, Time, and Distance

Solving Rational Equations by

Algebra 1 Section 13.7.

Equations and Problem Solving

Solving Rational Equations

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Solving Rational Equations by

Solving Equations with Variables on Both Sides

Chapter 3: Solving Equations

Presentation transcript:

7.5 SKM & PP 1 Systems of Equations

7.5 SKM & PP 2 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?

7.5 SKM & PP 3 Motion Problem Basics d = distance r = rate t = time

7.5 SKM & PP 4 Motion Problem Basics

7.5 SKM & PP 5 Motion Problem Basics

7.5 SKM & PP 6 Take the Train! A green train traveling at 42 mph leaves the Roseville station heading towards San Francisco. Two hours later a red train, on a parallel track, traveling at 70 mph leaves Roseville heading towards San Francisco. In how many hours will the red train overtake the green train?

7.5 SKM & PP 7 Take the Train! Same distance!

7.5 SKM & PP 8 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

7.5 SKM & PP 9 Motion Problem Basics d = distance t = time

7.5 SKM & PP 10 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

7.5 SKM & PP 11 Take the Train! drt d42t+2 d70t Red Green

7.5 SKM & PP 12 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

7.5 SKM & PP 13 Take the Train!

7.5 SKM & PP 14 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

7.5 SKM & PP 15 Take the Train! A green train traveling at 52 mph leaves the Roseville station heading towards San Francisco. Two hours later a red train, on a parallel track, traveling at 70 mph leaves Roseville heading towards San Francisco. In how many hours will the red train overtake the green train? The red train will overtake the green train in 3 hours.

7.5 SKM & PP 16 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

7.5 SKM & PP 17 Police! Two police cars leave Roseville at the same time, heading in opposite directions. The first police car is traveling at 25 mph and the other police car is traveling at 43 mph. In how many hours will they be 136 miles apart?

7.5 SKM & PP 18 Identify Your Variables. d = distance t = time

7.5 SKM & PP 19 Police! 136 Miles d 136- d

7.5 SKM & PP 20 drt d25t 136-d43t First Second Write a COMPLETE SYSTEM

7.5 SKM & PP 21 Algebraically SOLVE the SYSTEM

7.5 SKM & PP 22 Two police cars leave Roseville at the same time, heading in opposite directions. The first police car is traveling at 25 mph and the other police car is traveling at 43 mph. In how many hours will they be 136 miles apart? Clearly answer the Question in Words In 2 hours the cars will be 136 miles apart.

7.5 SKM & PP 23 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

7.5 SKM & PP 24 Chickens! At the same time, two chickens, 7 miles apart, head towards each other.. The first chicken is traveling at 5 mph and the other chicken is traveling at 3 mph. In how many hours will they meet?

7.5 SKM & PP 25 Identify Your Variables. d = distance t = time

7.5 SKM & PP 26 Chickens! 7 Miles d 7 - d

7.5 SKM & PP 27 drt d5t 7 - d3t First Second Write a COMPLETE SYSTEM

7.5 SKM & PP 28 Algebraically SOLVE the SYSTEM

7.5 SKM & PP 29 At the same time two chickens, 7 miles apart, head towards each other.. The first chicken is traveling at 5 mph and the other chicken is traveling at 3 mph. In how many hours will they meet? The chickens will meet in 7/8 hour Clearly answer the Question in Words

7.5 SKM & PP 30 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

7.5 SKM & PP 31 That’s All for Now!