Warm-up-12/13/12 Create the equation of the line for each of the following tables. 1) 2) xy 02 16 218 354 xy 0-5 13 211 319.

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Presentation transcript:

Warm-up-12/13/12 Create the equation of the line for each of the following tables. 1) 2) xy xy

Unit 2: Solving Systems of Equations Key Ideas  Properties of Equality  Solving Systems of Equations  by Graphing  by Substitution  by Elimination  Word Problems  Graphing Systems of Linear Inequalities  More Word Problems

Properties to know-WS 2.1 Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality Commutative Property of Addition and Multiplication Associative Property of Addition and Multiplication Distributive Property Identity Property of Addition and Multiplication Multiplicative Property of Zero Additive and Multiplicative Inverses

Example 1 Solve the equation a list the property 8( x + 2) = 2( y + 4) for y.

Example 2 Karla wants to save up for a prom dress. She figures she can save $9 each week from the money she earns babysitting. If she plans to spend up to $150 for the dress, how many weeks will it take her to save enough money?

Example 3 Use Graphing to solve the linear system.

Example 4 Use substitution to solve the linear system.

Example 5 Use elimination to solve the linear system.

Example 6 Solve the linear system using any method.

Example 7 Solve the linear system using any method.

Example 8 Solve the linear system using any method.

Example 9 You are selling tickets for a basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. Use a system of linear equations to determine how many student tickets you sold?

Example 10 Graph

Example 11 Which equation corresponds to the graph shown? A. y = x + 1 B. y = 2x + 1 C. y = x – 2 D. y = -3x – 2

Example 12 Which graph would represent a system of linear equations that has no common coordinate pairs? A B C D

CW/HW Mid-Term Unit #2 Review