Monday: Announcements Unit 5 Retest: Deadline is Friday at 8:35am. 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 3 rd 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

Algebra 2 Fall Semester Exam Review

Test Format Final Exam is all calculator 34 Questions All Multiple Choice

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)

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

Key Concepts on Test Writing Quadratic Equations –Vertex Point and another Point –Solutions and another Point –Quadratic Regression

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

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

In Class Review: Today Equations and Inequalities Relations/Functions Domain/Range Variations Transformations Data Analysis/Regression Quadratic Word Problems

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.

EXAMPLE 4 Solve an inequality with a variable on both sides Solve 5x + 2 > 7x – 4. Then graph the solution. 5x + 2 > 7x – 4 – 2x + 2 > – 4 – 2x > – 6 x < 3 Write original inequality. Subtract 7x from each side. Subtract 2 from each side. Divide each side by – 2 and reverse the inequality. ANSWER The solutions are all real numbers less than 3. The graph is shown below.

Relations Ordered Pairs (2, 3) (-3, 1) (1, -2) XY Tables Graphs Mapping XY

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

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)

Direct Variation Find y when x = 6, if y varies directly as x and y = 8 when x = 2.

Inverse Variation As one variable increases, the other decreases. (or vice versa)

Inverse Variation Find x when y = 5, if y varies inversely as x and x = 6 when y = -18.

Example 1

Example 2

Example 3

Data Analysis Height (meters) Distance Km Zoom 9 What Parent Function?? STAT Plotter “ON”

Weeks Experience Speed (wpm) x-axis y-axis 0

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