Simplifying Radicals
Adding and Subtracting Radicals
Factoring
Quadratic Applications
Quadratic Formula
1
Simplify the following radical: √ 54.
3√ 6
1
In order to add radicals, which of the following must be true?
(a) The radicals must have the same index
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
(d) Both a and b
1
Factor into two binomials- x2+8x+12
(a) The radicals must have the same index
1
This is what you use to find out how long it takes for an object to hit the ground.
The quadratic formula or factoring
1
What is the quadratic formula?
2
Simplify the following radical: √ 18.
3√ 2
2
Add the following radicals: 4√3 + 2√3 + 7√3.
13√3
2
Factor by GCF- 18x3-6x
6x(3x2-1)
2
This is what you use to find when the object reaches its maximum height (state the formula)
-b/2a
2
The TWO mistakes made in this quadratic formula setup for
3x^2+7x-17
x=(-7+-sqrt(7-4(3)(17)))/(2(3))
7 should be squared and 17 should be negative
3
Simplify the following radical: 2√ 24.
4√ 6
3
Subtract the following radicals: 6√5 - √125.
√5
3
Factor : 2t3 - 14t2 + 24t
2t (t - 3)(t - 4)
3
This is what you do to find the maximum height of an object.
plug AOS back into equation
3
The setup of the quadratic formula for m2-5m-14=0
What is
m=(5+-sqrt(25-4(1)(-14)))/(2(1))?
4
Simplify the following radical: 3√ 63.
9√ 7
4
Add the following radicals: √8 + √98 + √72.
15√2
4
Factor: 9x2 - 25
(3x + 5) (3x - 5)
4
An object that is launched upward with a height of t seconds is given by the equation h(t) = -16t^2 + 160t - 7. When does it reach its max height?
5 seconds
4
Solutions for 2m2+2m-12
What is m=3,-2?
5
Simplify the following radical: 4√27x3.
12x√3x
5
Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.
10 + 3√2
5
Factor: 2x2 + 22x + 60
2 (x + 5) (x + 6)
5
An object that is launched upward with a height of t seconds is given by the equation h(t) = -16t^2 + 160t - 7. How high is the object after 3 seconds?
329 feet
5
Solutions for 2x2-3x-5=0
What is x=
(3+-sqrt(31))/4