Systems Jeopardy Ordered Pair Solutions Graphing Systems EliminationSubstitutionWord Problems 10 20 30 40 50.

Slides:



Advertisements
Similar presentations
Chapter 6.1 Common Core – A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of liner equations in two variables. Objectives.
Advertisements

EXAMPLE 1 Standardized Test Practice SOLUTION Substitute several values of h into the equation C = h and solve for C.Then identify the table that.
Solve by graphing: y = -7x + 2 x + 4y = 8 (0,2). Objective: To use the substitution method to solve systems of linear equations.
Write and graph a direct variation equation
Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 14 x = 7 One Solution.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.
Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.
Graphing Linear Inequalities
Warm-Up 1. Use the graph to solve the linear system. SHOW THE WORK for checking your solution. 3x – y = 5 -x + 3y = 1 (2,1)
Systems of Linear Equations
Graphing Inequalities Ch7: find the solution Systems word problems Is it a solution? Ch7:
Lesson 6-1 Warm-Up.
Word Problem! Oh No! Your car has broken down! You don't like walking so you call the local garage to find out what they will charge you to fix it. The.
Solving Systems Using Elimination (For help, go to Lesson 7-2.) Solve each system using substitution. 1.y = 4x – 32.y + 5x = 4 3. y = –2x + 2 y = 2x +
Math /4.2/4.3 – Solving Systems of Linear Equations 1.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
1 Section 5.3 Linear Systems of Equations. 2 THREE EQUATIONS WITH THREE VARIABLES Consider the linear system of three equations below with three unknowns.
Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.
Linear Systems of Equations Section 3.1. What is a “system” of equations?
Complete the DO NOW in your packets
Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:
SOLVING SYSTEMS USING ELIMINATION 6-3. Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)
6.5 Solving System of Linear Inequalities: VIDEOS equations/v/solving-linear-systems-by-graphing.
SYSTEMS OF EQUATIONS. SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable.
Section 3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method.
Use graphing to solve this system. 1. y = 2x y = -x + 3 Use substitution to solve this system. 2. y = x-2 -2x -4y = 4 Use elimination to solve this system.
MATHPOWER TM 11, WESTERN EDITION Chapter 1 Systems of Equations.
Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Elimination.
Elimination Method - Systems. Elimination Method  With the elimination method, you create like terms that add to zero.
SOLVING SYSTEMS OF LINEAR EQUATIONS BY GRAPHING, SUBSTITUTION, OR ELIMINATION.
Lesson 9.6 Topic/ Objective: To solve non linear systems of equations. EQ: How do you find the point of intersection between two equations when one is.
7.1 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Solve Linear Systems by Graphing.
Lesson 4-1 Solving linear system of equations by graphing
X.2 Solving Systems of Linear Equations by Substitution
1. The square root of 9 is 3 True
System of Equations Substitution Method Day 1
Solving Nonlinear Systems
Solving System of Linear Equations
Entry Task Solve the System x + 7 = y -4x + 2 = y.
Solving Systems of Linear and Quadratic Equations
Solving Systems by Substitution
Use ELIMINATION (also known as LINEAR COMBINATIONS) !!
Lesson 5-1 Solving Systems by Graphing
Solving Linear Systems Algebraically
Solve a system of linear equation in two variables
Systems of Linear Equations; Substitution and Elimination
Lesson 7-4 part 3 Solving Systems by Elimination
Lesson 7-4 part 2 Solving Systems by Elimination
Solve by graphing. y = 3x − 7 y − 2x = − 6
Before: November 28, 2017 Solve each system by graphing. 1. y = 2x – 1
Lesson 7-4 part 3 Solving Systems by Elimination
Section 7.1 “Solve Linear Systems by Graphing”
Systems of Linear Equations
Another method for solving systems of linear equations
Solving Systems of Linear and Quadratic Equations
Objectives Identify solutions of linear equations in two variables.
5.1 Solving Systems of Equations by Graphing
Solving systems using substitution
Systems of Equations Solve by Graphing.
Solving Systems of Equations & Inequalities
Integrated Math One Module 5 Test Review.
Example 2B: Solving Linear Systems by Elimination
Direct systems & direct word problems
Objective: Students will solve systems by graphing
Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y
3-1 Graphing Systems of Equations
Lesson 0 – 8 Systems of Linear Equations
Warm-Up Graph the following system of linear inequalities.
Presentation transcript:

Systems Jeopardy Ordered Pair Solutions Graphing Systems EliminationSubstitutionWord Problems

Ordered Pair Solutions– 10 points Does the given ordered pair solve the system? (4,2) 2x + 5y = 2 3x – 2y = -16 no

Ordered Pair Solutions– 20 points Does the given ordered pair solve the system? (4,1) x + y = 5 x – y = 3 yes

Ordered Pair Solutions– 30 points Does the given ordered pair solve the system? (4,2) 2x + 5y = 2 3x – 2y = -16 no

Ordered Pair Solutions– 40 points Does the given ordered pair solve the system? (-5, 2) y + x = -3 2x + -3y = -16 yes

Ordered Pair Solutions– 50 points Does the given ordered pair solve the system? (2.5, 4.5) x – y = 2 5x + 4y = 30.5 no

Graphing – 10 points y = 2x + 5 y = 4x + 3 (1,7)

Graphing – 20 points y = 3x + 2 y = 6x - 1 (1,5)

Graphing – 30 points 5x – 3y = 47 6x – y = 7 (-2, -19)

Graphing – 40 points 3x + 2y = 18 x + y = 1 (6,-15)

Graphing – 50 points y = 4 8x - 4y = -16 (0,4)

Elimination– 10 points x + y = 4 x – y = 6 (5,-1)

Elimination – 20 points 9x + 2y = 4 9x – y = 25 (2,-7)

Elimination – 30 points 4x – 5y = 22 x + 2y = -1 (3,-2)

Elimination – 40 points 4x + 3y = 7 7x + 2y = 9 (1,1)

Elimination – 50 points 2x – 3y = 16 3x + 4y = 7 (5,-2)

Substitution– 10 points x = 2 3x + 2y = 4 (2, -1)

Substitution– 20 points x = y + 1 x + 2y = 7 (3,2)

Substitution– 30 points 3x + y = 4 4x – 3y = 1 (1,1)

Substitution– 40 points 3x – y = 2 y = 2x – 9 (-7,-23)

Substitution– 50 points x + y = 12 3x – 2y = 6 (6,6)

Word Problems – 10 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. Write an equation to represent selling $50 worth of cookies..50x +.75y = 50

Word Problems – 20 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. You sold a total of 75 cookies for a total of $ Write a linear system to represent this situation. Let x represent small cookies and y represent large cookies. x + y = 75.50x +.75y = 48.75

Word Problems – 30 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. You sold a total of 75 cookies for a total of $ Write a linear system to represent this situation. Let x represent small cookies and y represent large cookies. How many of each cookie were sold? (30, 45)

Word Problems – 40 points A ski resort has lessons for $50 per hour, plus $100 for rental of equipment. Another resort has lessons for $75 per hour, plus $40 for the rental of equipment. Write a linear system to represent the cost C of a lesson based upon the number of hours H of the lesson. C = 50h C = 75h + 40

Word Problems – 50 points A ski resort has lessons for $50 per hour, plus $100 for rental of equipment. Another resort has lessons for $75 per hour, plus $40 for the rental of equipment. Write a linear system to represent the cost C of a lesson based upon the number of hours H of the lesson. For how many hours would the cost of the lessons be the same? (Round to the nearest half hour if necessary.) 73 hours