1. Define variables 2. Write as a system of equations 3. Solve showing all steps 4. State your solution (in words!)

Slides:



Advertisements
Similar presentations
Solving Systems of Equations
Advertisements

Name:__________ warm-up 6-3
Solve the given system by elimination: 2) -3x + 4y = -4 3x – 6y = 6
Unit 2: Solving Systems of Equations
Solve the system of equations by graphing.
LINEAR SYSTEMS WORD PROBLEMS EQ: HOW ARE REAL-WORLD PROBLEMS SOLVED USING LINEAR SYSTEMS OF EQUATIONS? Please turn cleear everything but a pencil.
5.2 Solving Systems of Linear Equations by Substitution
Solving Systems of three equations with three variables Using substitution or elimination.
A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.
Daily Essential Question:
3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations.
Solving Systems of Equations:
Do Now Solve each system using Elimination. 2x + 3y = 8 x – y = 2
Warm Up I can solve systems of equations by substitution.
3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =
HW#6: Real-Life Examples Answers 1. a.) 10 t-shirts need to be ordered for both shops to charge an equal amount. b.) If 9 or less t-shirts are ordered,
6-3: Solving systems Using Elimination
Reasoning with Equations and Inequalities
Word Problems Highlight the key information
. Your parents gave you their credit card to go buy a new outfit. You went to the mall and bought a total of 15 items. You only purchased pants and shirts.
Real life application Solving linear systems with substitution
Objective: Solving systems of equations using elimination method. Warm up 1. The admission fee at a small fair is $1.50 for children and $4.00 for adults.
Unit 2: Solving Systems of Equations Key Ideas. Summary of Methods 1)Substitution: Requires that one of the variables be isolated on one side of the equation.
– Problem Solving Objectives:
Warm Up – set up a system for each word problem (do not solve!) 1)Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher.
 Solve by substitution: 1. y = 2x+3 y = 4x+5 2. A tow company charges $2 per mile plus a fee of $20. Another company charges $5 per mile plus a $10 fee.
You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 21 tickets.
Math /4.2/4.3 – Solving Systems of Linear Equations 1.
Chapter 3 –Systems of Linear Equations
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
Section 11.1 Systems of Linear Equations; Substitution and Elimination.
Linear System Word Problems A restaurant has 20 tables. Each table can seat either 4 people or 6 people. The restaurant can seat a total of 90 people.
6-2 HOMEWORK. 6-3 HOMEWORK 6-3: SOLVING SYSTEMS USING ELIMINATION Ms. Miller.
7.2 Solving Linear Systems by Substitution. Steps: 1. Solve one of the equations for one of the variables. 2.Substitute that expression into the other.
5.4 Elimination Using Multiplication Algebra 1 Objective: Each student will understand if addition and subtraction does not eliminate a variable – how.
Warm-Up Solve the following systems of equations using the method of your choice x – 9y = y = -3x x + y = 20 4x + 9y = 23 5x – 4y.
2-1 Ordered Pairs Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Warm up Solve the given system by substitution: 1) 2x – y = 7 3x + 3y = - 3 Solve the given system by elimination: 2) -3x + 4y = -4 3x – 6y = 6.
Objectives: 1.Be able to write equations of application problems. 2.Be able to solve applications using substitution or elimination. Critical Vocabulary:
Algebra II day 36 Chapter 3 Systems of Linear Equations.
Solve each system by graphing. 1. y = ½ x y = 3x + 5.
6.3 Solving Systems of Linear Equations by the Addition Method
Warm UP: Solve the following systems of equations:
Chapter 12 Section 1.
Solving Systems Using Elimination
Solve the given system by elimination: 2) -3x + 4y = -4 3x – 6y = 6
5.2 Solving Systems of Linear Equations by Substitution
7.3 – 7.4 Solve Linear Systems Algebraically Word Problems
Solving Word Problems Using Systems
Unit 7: Systems of Equations
Solving Linear Systems Algebraically
Systems of Linear Equations; Substitution and Elimination
Unit 7 Review.
Warm – up A farmer saw some chickens and pigs in a field. He counted 60 heads and 176 legs. How many chickens and how many pigs did the farmer see?
Systems OF EQUATIONS Elimination.
Warm up 3x + 3y = - 3 Solve the given system by substitution:
Solving Word Problems Using Systems
7.2 Solving Systems of Equations by Substitution
Warm up Solve the given system by substitution: 2x – y = 7
Solving Systems of Equations by Elimination
Solve the given system by elimination: 2) -3x + 4y = -4 3x – 6y = 6
Setting Up Application Problems
Warm up Solve the given system by substitution: 2x – y = 7
Warm Up Solve by graphing Solve by substitution.
Warm Up Solve for 3x + 2(x – 1), when x = 3
Unit 1 – Section 9 “Applications of Systems of Equations”
Warm-up What would you multiply to use the elimination method?
Systems of equations review
Unit 7: Systems of Equations
Warm-Up Graph the following system of linear inequalities.
Presentation transcript:

1. Define variables 2. Write as a system of equations 3. Solve showing all steps 4. State your solution (in words!)

1. Define variables 2. Write as a system of equations

You worked 18 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $8 per hour, and your job as a cashier pays $6 per hour. How many hours did you work at each job? x + y = 18 8x + 6y = 124 x = hours as lifeguard y = hours as cashier

A.) Response A B.) Response B C.) Response C D.) Response D E.) Response E Percent Complete 100%00:30 Define variables: System of equations: State your solution(s): Solve

A math test is to have 20 questions. The test format uses multiple choice worth 5 points each and problem solving worth 6 points each. The test has a total of 100 points. Write a system to determine how many of each type of question are used. x + y = 20 5x + 6y = 100 x = MC ?’s y = Problem solving ?’s

A.) Response A B.) Response B C.) Response C D.) Response D E.) Response E Percent Complete 100%00:30 Define variables: System of equations: State your solution(s): Solve

A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types of conditioners received are Type A, which is used for regular hair, and Type B, which is used for dry hair. Type A costs $6.50 per bottle and Type B costs $8.25 per bottle. The hair salon’s invoice for the conditioner is $588. How many of each type are in the shipment? x + y = x y = 588 y = # Type B bottles x = # Type A bottles

A.) Response A B.) Response B C.) Response C D.) Response D E.) Response E Percent Complete 100%00:30 Define variables: System of equations: State your solution(s): Solve

You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 21 tickets. How many adult tickets and how many children tickets did you sell? x + y = 21 6x + 4y = adult tickets and 11 children tickets

A.) Response A B.) Response B C.) Response C D.) Response D E.) Response E Percent Complete 100%00:30 Define variables: System of equations: State your solution(s): Solve

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $ Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much does pizza cost? 3x + 2y = x + 3y = 23 $8.50 for pizza

A.) Response A B.) Response B C.) Response C D.) Response D E.) Response E Percent Complete 100%00:30 Define variables: System of equations: State your solution(s): Solve

Chickens and Pigs A farmer saw some chickens and pigs in a field. He counted 60 heads and 176 legs. Find out exactly how many chickens and how many pigs he saw. Closing

Warm up Solve the given system by substitution: 1) y = 2x – 7 3x + 3y = - 3 Solve the given system by elimination: 2) -3x + 4y = -4 3x – 6y = 6

1. y = 4x – 3 5x – 2y = x – 5y = 13 2x + 5y = 5

5. 3x – 2y = 6 y = 2x – 4 6.x + y = 4 2x + 3y = 7