Systems Applications.

Slides:



Advertisements
Similar presentations
D = r  t 1) Two planes take off at the same time, departing in separate directions. One plane travels 3 times as fast as the other plane. After 3 hours,
Advertisements

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?
UNIT 2 RECAP.
Motion, Money, and Mixture Problems
RATE PROBLEMS. INTRODUCTION Several types of problems fall into the category known as “rate problems”: –Distance –Work –Percent problems –Mixture problems.
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.
Lesson 3-9 Weighted Averages.
A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed Systems of Linear Equations.
7.6 C LASSIC P UZZLES IN T WO V ARIABLES Objective: Solve traditional math puzzles in two variables. Standards Addressed: A: Select the appropriate.
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.
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.
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.
Chapter 4 MOTION.
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.
Section Uniform Motion Problems. Planes An airplane took off from Birmingham to Los Angeles, traveling at an average of 600 miles per hour. One.
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.
ACTIVITY 20: Systems of Linear Equations (Section 6.2, pp ) in Two Variables.
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.
8.6 Digit and Coin Problems Goal: To use a system of equations to digit problems.
8.6 Coin, Ticket, Weight, and Digit Problems. Pattern Set up two equations One equation is a physical amount that you can count with two different categories.
Section 2.1 Systems of Equations (no calculator).
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.
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.
Mathematical Approach to Two Dimensional Motion 1.A train travels km [W] and then goes km [S]. The trip takes 11.0 h. Calculate the velocity.
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.
MPM 2D Make Up July  The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair.
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.
Mixture Problems January 27, You need a 15% acid solution for a certain test, but your supplier only ships a 10% solution and a 30% solution. Rather.
Warm-up 4-3 The sum of two numbers is -63. The first number minus the second is -41. Find the numbers.
MonomialsPolynomials Word Problems Chapter 4 Jeopardy.
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.
CST 15, 21, 23B. CA Standard 15.0 Students apply algebraic techniques to solve rate, work, and mixture problems.
UNIT TWO: Motion, Force, and Energy  Chapter 4Motion  Chapter 5Force  Chapter 6Newton’s Laws of Motion  Chapter 7 Work and Energy.
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.
Chapter 3: Solving Equations 3.6 Equations & Problem Solving.
1. If you travel at 10mph for 1 hour, how far do you travel?
Objective 2 Days The learner will solve real-life problems using equations (d=r*t)
Weighted Averages.
Systems of Linear Equations in Two Variables
RATE PROBLEMS.
Making Word Problems Easy: A Collection of Fun Word Problems
2-9 Notes for Algebra 1 Weighted Averages.
Speed, Distance, Time Calculations
2.2: Solving Equations Through Various Methods
Solve ANSWER x = 9 ANSWER t =
Solving Applications: Systems of Two Equations
2-9 Weighted Averages Weighted Average – the sum of the product of the number of units and the value per unit divided by the sum of the number of units.
4.1 Position, Speed and Velocity
5-A9 Wind and Current Word Problems
Speed, Distance, Time Calculations
RATE PROBLEMS.
Speed, Distance, Time Calculations
THE “REALLY TOUGH STUFF”
Speed, Distance, Time Calculations
Speed, Distance, Time Calculations
SAT PREP UPSTREAM / DOWNSTREAM & MOTION Rita Korsunsky.
Speed, Distance, Time Calculations
Speed, Distance, Time Calculations Final Review
Speed, Distance, Time Calculations
2-9 Weighted Averages Weighted Average – the sum of the product of the number of units and the value per unit divided by the sum of the number of units.
Speed, Distance, Time Calculations
Presentation transcript:

Systems Applications

The sum of a certain number and a second number is -42 The sum of a certain number and a second number is -42. The first number minus the second is 52. Find the numbers.

Soybean meal is 16% protein and corn meal is 9% protein Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be mixed together to get a 350-lb mixture that is 12% protein?

Solution A is 2% alcohol. Solution B is 6% alcohol Solution A is 2% alcohol. Solution B is 6% alcohol. A service station owner wants to mix the two to get 60 liters of solution that is 3.2% alcohol. How many liters of each should the owner use?

A train leaves a station and travels north at 75 MPH A train leaves a station and travels north at 75 MPH. Two hours later a second train leaves on a parallel track and travels north at 125 MPH. How long will it be before the 2nd train passes the first train?

Two motorcycles travel toward each other from Chicago and Indianapolis, which are about 350 km apart, at rates of 110 and 90 km/h. They started at the same time. In how many hours will they meet?

Carlos is 8 years older than his sister Maria Carlos is 8 years older than his sister Maria. Four years ago Maria was two-thirds as old as Carlos. How old are they now?

The sum of the digits of a two-digit number is 5 The sum of the digits of a two-digit number is 5. If the digits are reversed, the new number is 27 more than the original number. Find the original number.

A canoeist paddled for 4 hours with a 6 MPH current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of the canoe in still water.