1.Today: Welcome Back Notebook, pencil, calculator ready Review
for final exam and test
2. Reminders: All Khan Academy Due by 3:00 & 9:00 There will
be a test on Friday. We will review today and tomorrow. The unit on
Quadratics is almost finished; we begin our unit on radicals
tomorrow. Next Khan will be given Monday. Classwork: Show all work,
and most importantly, complete & turn in. We are reviewing for
the final exam first, then our test Friday, including new material.
Get your pencil, calculator, and WORK THE PROBLEMS!! 3.
Warm-Up/Final Exam Review: 4. Warm-Up/Final Exam Review: 5.
Warm-Up/Final Exam Review:? Simplify: 6. Warm-Up/Final Exam Review:
Drawing a number line helps, especially with the negative numbers
Which relation below is not a function? A. B. 7. Quadratic
Review/Test Prep: 8. no 1. Without graphing, tell whether (3, 12)
is on the graph of y = 2x2 5. Quadratic Review/Test Prep: 2. What
is the vertex of the equation: 3. What method are you using to
solve? 9. Write a Quadratic Equation Given Roots 10. Write a
Quadratic Equation Given Roots If all you had were the roots of a
quadratic equation. Could you write the equation that produced the
roots? The roots of a quadratic equation are -2 and 6. Write a
quadratic model with leading coefficient of 1. Work backwards:
start with your answer x = -2 or x = 6 solutions/roots x + 2 = 0 or
x 6 = 0 equation for roots (x + 2)(x - 6) = 0 quadratic equation x
- 6x + 2x 12 = 0 distribute using FOIL x - 4x 12 = 0 combine like
terms This is the quadratic equation with roots {-2, 6} 11. The
roots of a quadratic equation are 7 and - 1. Write a quadratic
equation with leading coefficient of 1. x - 7 = 0 or x + 1 = 0
equation for roots x = 7 or x = - 1 solutions/roots x - 6x 7 = 0
combine like terms Write a Quadratic Equation Given Roots 12. A
parabola crosses the y axis at -3 and 1. a. Write a quadratic
function where x is a function of y: f(y) =b. find the AOS, vertex,
then graph Write a Quadratic Equation Given Roots y2 + 2y - 3
Vertex is: -4,-1 Axis of Symmetry is: -4,-1 Plot for y = 2, then
graph 13. Completing the Square 6x2 + 24x 84 = 0 14. Take the
square root of both sides 2. When graphing, change the equation to:
y = (x 2)2 - 16 4x3 = 9x 15. Rationalizing the Denominator 16. We
will start with a simple case of a radical in the denominator. This
must be removed. Why? Rationalizing the Denominator By
"rationalizing the denominator." (Changing the denominator from a
radical number to a rational one.) This is done by removing the
square root from the denominator. How can we make the denominator
2? Its just a generally agreed upon thing in math, thats all. How
is it done? Simplify: Finally: 17. Always factor out perfect
squares Rationalizing the Denominator 18. The Quadratic Formula
Solve using the Quadratic Formula 3x2 = 5x - 2 x = 5 + 1 6 = 1,
2/3
