Transcript Unit 2 Ppt Review

Warm-up-12/13/12
Create the equation of the line
for each of the following tables.
1)
x
0
1
2
3
y
2
6
18
54
x
y  2(3)
2)
x
0
1
2
3
y
-5
3
11
19
y  8x  5
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
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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.
y  4x  4
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?
17weeks
Example 3
• Use Graphing to solve the linear system.
y  2 x  7
3 x  6 y  12
6
4
2
-6
-4
-2
2
-2
-4
-6
(2,3)
4
6
Example 4
• Use substitution to solve the linear system.
y  2x  2
6 x  2 y  16
(2,2)
Example 5
• Use elimination to solve the linear system.
3x  3 y  9
6x  2 y  2
(1, 2)
Example 6
• Solve the linear system using any method.
x  3 y  5
5x  3 y  7
(2,1)
Example 7
• Solve the linear system using any method.
x  4y  11
2 x  2y  8
(1,3)
Example 8
• Solve the linear system using any method.
6 x  9 y  18
2 x  3 y  10
(No Solution)
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?
Student : x
General : y
x  y  350
3x  5y  1450
150 student, 200 general admission
Example 10
Graph
y  x  2

 x  2
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
C
B
D
CW/HW
Mid-Term Unit #2 Review