Monday: Announcements

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Monday Announcements

• Unit 5 Retest Deadline is Friday at 835am.
• Must have test correction complete to retest and
  come to at least one tutorial session for help.
• Dropping Lowest Grade (40 category)!
• Final Exam Review will be graded and is the last
  grade for the 3rd 6 weeks
• Answer key is posted on-line, but you MUST show
  work to get credit.
• No Factoring Quiz this week due to Final Exams

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Algebra 2

• Fall Semester Exam Review

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Test Format

• Final Exam is all calculator
• 34 Questions
• All Multiple Choice

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Key Concepts on Test

• Solving Equations and Inequalities
• Domain/Range/Functions
• Parent Function graphs
• Direct and Inverse Variation problems
• Transformations
• Order of transformations
• Graphing using transformations
• Linear Regression (STAT)
• Data Analysis (zoom 9)

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Key Concepts on Test

• Quadratic Equations
• Simplify positive and negative radicals
• Graphing (vertex point, AOS, solutions)
• Factoring Methods
• Square Roots Method
• Complete the Square
• Discriminant
• Quadratic Formula
• Vertex Format/Complete the Square

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Key Concepts on Test

• Writing Quadratic Equations
• Vertex Point and another Point
• Solutions and another Point
• Quadratic Regression

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Calculator

• Can be used to solve 60 of your test
• Know the following
• How to graph
• 2nd trace (vertex and zeros)
• Linear quadratic regressions
• Plug in numbers (watch out for negatives)

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Testing Hints

• If you can graph it in the calculator, then do so
• Double graphing to compare
• Be careful of negatives when solving equations
• Questions with graphs! Look carefully at each
  graph so you select the one you really want
• Plug in solutions to calculator to check

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In Class Review Today

• Equations and Inequalities
• Relations/Functions
• Domain/Range
• Variations
• Transformations
• Data Analysis/Regression
• Quadratic Word Problems

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BIG DIFFERENCE If you multiply or divide each
side of an inequality by a negative number then
the order of the inequality must be switched.
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EXAMPLE 4
Solve an inequality with a variable on both sides
Solve 5x 2 gt 7x 4. Then graph the solution.
5x 2 gt 7x 4
Write original inequality.
2x 2 gt 4
Subtract 7x from each side.
2x gt 6
Subtract 2 from each side.
Divide each side by 2 and reverse the
inequality.
x lt 3
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Relations
Ordered Pairs (2, 3) (-3, 1) (1, -2)
Tables
X Y
2 3
-3 1
1 -2
Graphs
Mapping
X
Y
2 -3 1
3 1 -2
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Example

• Given the following ordered pairs, find the
  domain and range. Is it a function
• (4,5), (-2,3), (5,6)
• Domain is -2, 4, 5
• Range is 3, 5, 6
• YES, no duplicated x-values

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Direct Variation
As one variable increases, the other must also
increase ( up, up) OR As one variable decreases,
the other variable must also decrease. (down,
down)
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Direct Variation

• Find y when x 6, if y varies directly as x and
  y 8 when x 2.

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Inverse Variation
As one variable increases, the other decreases.
(or vice versa)
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Inverse Variation
Find x when y 5, if y varies inversely as x and
x 6 when y -18.
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Example 1
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Example 2
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Example 3
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Data Analysis
Height (meters) 15 30 45 60 75 90 105
Distance Km 13.833 19.562 23.959 27.665 30.931 33.883 36.598
STAT Plotter ON
Zoom 9
What Parent Function??
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Weeks Experience 4 7 8 1 6 3 5 2 9 6 7
Speed (wpm) 33 45 49 20 40 30 38 22 52 44 42
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Application Problems

• Need to change the viewing WINDOW
• x-min, x-max
• y-min, y-max

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