Formula
Factoring
Operations with Radicals
Intercepts
Word Problems
100
Solve the quadratic equation: 6x^2+7x-3=0
X= 1/3 or -1.5
100
Factor: x^2+3x-4
(X+4)(x-1)
100

Simplify:
(2 + √ 20)/2

1 + √ 5

100
Find the x-intercept of: y=x^2-2x-8
X=4 & -2
100
Jim threw a baseball out of a window on the fourth floor. The position of of the baseball is determined by the parabola y= -x^2+4. How many feet from the building does the ball hit the ground?
Using the quadratic formula it lands on 2.
200
X^2+15x-16=0
X=1 or -16
200

Factor: 2x^2+7x+3

(2x + 1)(x + 3)

200

√12 * √6

√72
√36*√2
6√ 2

200
Find the X-intercept of:y=(x-2)(x+4)
X=2 & -4
200
A Rock is thrown in the air straight up, from 3 m above the ground, with a velocity of 14m/s. Gravity pulls it down by 5m/s per second. When does it hit the ground?
Hits the ground at 3.1 seconds
300
Solve the equation: 15x^2-26x-21=0
X=7/3 or -3/5
300
X^2+5x
(X+0)(x+5)
300

6√2 + 2√2

8√2

300
Find the y-intercept: y=x^2+6x-16
(0,-16)
300
A shoe is dropped from a height of 60 feet. The quadratic equation (d=-5t^2+60) provides the distance ,d, of the shoe after ,t, seconds. After how many seconds, does the ball hit the ground?
3.5 seconds
400
Solve the equation: x(10x-1)=2
X=.5 or -.4
400

X^2-x-132

(x + 11)(x - 12)

400

6√3 + 2√48 - 5√3

6√3 + 2√48 - 5√3
6√3 + 2√16√3 - 5√3
6√3 + 2*4√3 - 5√3
6√3 + 8√3 - 5√3
14√3 - 5√3
9√3

400
Find the x-intercepts: y=3(x+2)(x-8)
X=-2 & 8
400
A softball is thrown at 19.6 meters per second from a 58.8 meter tall platform. The equation fit the softballs height ,s, at time ,t, seconds after being thrown is s(t)=-4.9t^2+19.6t+58.8, where ,s, is in meters. When does the softball hit the ground?
Hits the ground 6 seconds after being thrown
500
2y^2+4y=7y+8
Y= 3+(square root)73/4 or 3-(square root)73/4
500
Solve by factoring: (x + 2)(x + 3) = 12.
X= -6 & 1
500

(6 - √27)/3

(6 - √27)/3
(6 - √9√3)/3
(6 - 3√3)/3
6/3 + -3√3/3
2 - √3

500

Find the x-intercepts: 5x^2-34x+24=0

X= 4/5 & 6

500
The product of two consecutive negative integers is 1122. What are the numbers?
X= -33 & -34
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