Solving
Foiling and Factoring
Story Time!
Quadratics Hodgepodge
Mixed Bag
100
Solve: 5x2 = 500
x = +/- 10
100
Foil:
(x - 9)(x + 3)
x2 - 6x -27
100
Here is an equation that represents projectile motion:
20 = -16t2 + 35t + 4
What is the starting height of the object?
4 feet
100
What is the vertex of this Parabola?
(1, -4)
100
Find the slope between (-3, -8) and (5, -1)
m=7/8
200
(x + 3)2 = 81
x = -12, 6
200
Foil:
(2x + 5)(-3x - 8)
-6x2 - 31x - 40
200
A hot tamale candy is dropped from the top of a skyscraper. It takes the hot tamale 8 seconds to reach the ground. How tall is the skyscraper? (d=16t2)
1,024 feet high
200
What is the vertex of the parabola of this equation?
x2 - 3 = y
(0, -3)
200
Simplify and rewrite without negative exponents:
(10x^-3y^-7)/(5x^2y^-8)
(2y)/x^5
300
x2 + 2x - 18 = 17
x = -7, 5
300
Factor:
x2 - 17x + 72
(x - 9)(x - 8)
300
A super stomp rocket is launched vertically upward from ground level with an initial velocity of 60 feet per second. How high will the rocket be after 2 seconds? (h=-16t2 + vt + s)
124 feet high
300
Simplify into one binomial squared: x2 + 6x + 9
(x+3)^2
300
frac{x + 4}{8 }=frac{x - 1}{9}
x = -44
400
10m2 - 52m - 48 = 0
m = -4/5 and 6
400
Factor:
2x2 + 14x + 24
2(x + 4)(x + 3)
400
I throw my beret into the air with an initial velocity of 15 meters per second. My arm is approximately 1 meter off the ground. Approximately how long will it take for the beret to be on the ground? (h= -4.9t2 + vt + s)
Approximately 3.1 seconds
400
How many solutions does the following quadratic equation have?
x2 - 8x + 20 = 4
one solution
400
What is an equation of a line perpendicular to 24x + 3y = 21
Sample answer:
y = 1/8x + 7
500
5n2 - 15n - 15 = 5
n = -1, 4
500
Factor: 5x2 - 9x - 2
(5x + 1)(x - 2)
500
Find the exact side of a square whose diagonal is 3 cm longer than a side.
3 + 3sqrt2 cm
500
The length of a rectangle is 4 inches longer than the width. If the area of the rectangle is 437 square inches, what are the dimensions of the rectangle?
19 inches and 23 inches
500
Solve for x:
abs(10+4x) < 14
-6 < x < 1