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.

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

Rational Expressions Chapter 10

Math 8H Problem Solving Day 2 Rate Time = Distance Algebra 1 Glencoe McGraw-Hill JoAnn Evans.

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

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%.

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

#1#1#1#1 #2#2 Solve: A Corvette can travel 368 miles in the same amount of time that it takes a Prius, that is traveling 35 m.p.h. slower, to cover 228.

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

Concepts 1, 4, Involving Cost  John and Amy bought school supplies. John spent $10.65 on 4 notebooks and 5 pens. Amy spent $7.50 on 3 notebooks.

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.

Today’s Objective We will be able to calculate the speed and velocity of an object in motion by analyzing given data.

Ch 4: Solving & Graphing Inequalities G) Distance = rate x time Objective: To solve word problems involving distance, speed, and time.

Speed and Velocity Speed and Velocity

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.

NO HOMEWORK QUIZ TURN IN WORK!!!!!! Rational Review.

3.4 Applications of Linear Systems. Steps 1) Read and underline important terms 2) Assign 2 variables x and y (use diagram or table as needed) 3) Write.

Speed, Distance & Time Speed, Distance, Time Calculations.

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

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.

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.

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.

1.5 “Problem Solving Strategies” Examples: 1. A train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What is.

Distance & Motion Problems d=rt formula distance chart Copyright © 2013 by Lynda Aguirre1.

Calculating Rates. Speeds Speeds are often described as rates. Ex: MPH = miles per hour MPS = meters per second In all the following slides we will use.

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.

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.

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.

10-7 Using Rational Equations

Graphical Approach to solve multi-step problems T. T. Liang, Brain Maths, Vol. 2, problem 44 The railway distance between town X and Y is 680 km. A train.

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.

4.3c Algebra 2.

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

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.

INTRO TO DISTANCE, DISPLACEMENT, SPEED, VELOCITY QUIZ REVIEW.

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.

DISTANCE = RATE*TIME D = rt D = r(t) D = r x t.

Motion Problems 2 A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it.

Resource –Glencoe Algebra 1

Chapter 1: Matter in Motion  Motion= a change in position over time  Reference point= an object that stays in place and shows us that something is moving.

Speed and Velocity Speed and Velocity

Investigating Motion Science Chapter B2 Text Pages B43-B73.

Motion 10-1 Notes.

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

MS Algebra – Ch. 7.6 Uniform Motion Problems

Solve ANSWER x = 9 ANSWER t =

Speed and Velocity What is speed, velocity and acceleration?

1.3 Solving with Variables on Both Sides

Solving Equations Containing

Solving Applications: Systems of Two Equations

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

Equations and Problem Solving

Speed, Distance, Time Calculations

THE “REALLY TOUGH STUFF”

Use Problem Solving Strategies and Models

SAT PREP UPSTREAM / DOWNSTREAM & MOTION Rita Korsunsky.

What is Speed? Speed: The ratio of the distance an object moves to the amount of time an object moves Average Speed: Speed over the course of the ENTIRE.

1.3 Solving Equations with Variables on Both Sides

Presentation transcript:

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 (d = d) T3) Different distance – same direction (d – d = d apart ) T4) Different distance – Opposite direction (d + d = d total ) Steps -Draw picture to identify type -Make r*t = d table -Write equation -Solve - Interpret answer

T1) A train leaves Slaton travelling east at 60 km/hr. An hour later, another train leaves on a parallel track at 80 km/hr. How far from Slaton will the trains meet? How long did each travel? rtd A B = d s = d f (substitute) 60t = 80(t-1) 60t = 80t – t = -80 t = 4 The slow train travelled 4 hrs the faster train travelled 3 hours dfdf = = t t dsds Now we can find distances also!

T2) A motorboat took 3 hours to make a downstream trip with a current of 6 mph. The return trip took against the same current took 5 hours. Find the speed of the boat and how far it travelled. rtd down back b+6 b d down d up d down = d up Using substitution (b+6)(3) = (b-6)(5) solve 3b +18 = 5b = 2b 24 = b The boat’s speed is 24 mph = = =

T3) Two cars leave town at the same time in the same direction. One travels 35mi/hr and the other travels 40 mi/hr. In how many hours will they be 15 miles apart? How far did each travel? rtd A slow B fast = = = d f – d s = d apart (substitute) 40t - 35t =15 5t = 15 t = 3 d s = 35(3) d f = 40(3) = 105 miles = 120 miles 35 40t t dfdf dsds They travelled same amount of time

T4) Two cars leave town at the same time going opposite directions. One of them travels 60 mi/h and the other 30 mi/hr. In how many hours will they be 150 miles apart? rtd A B = = =t t 30 60dfdf dsds d f + d s = d total 60t + 30t =150 90t = 150 Now we can substitute that back in to find the distances

Day 1: 8-5/384/ 4-9 Day 2: 8-5/384/ 10-19, 23-29