Real-Life Examples
Factoring:
Perfect Square Trinomial
Perfect Square Trinomial
Factoring:
Difference of Two Squares
Difference of Two Squares
Completing the Square
Quadratic Formula
Complex Numbers
100
Name ONE of the coefficients labeled below:
Gravity, Initial Velocity, Initial Height
100
Factor a2 + 2ab + b2
(a + b)2
100
Factor (a2 - b2)
(a + b)(a - b)
100
Write the 2x2-5x+2 = 0 in the form ax2+bx = c
2x2 - 5x = -2
100
Write the equation using the quadratic formula.
100
The following is an example of a(n) ___________ number.
imaginary
200
Name ONE of the gravitational force coefficients of the earth.
-16 ft/sec2 and -4.9m/sec2
200
Write as a perfect square trinomial:
(a - b)2
a2 - 2ab + b2
200
True or False:
(a2+ b2) = (a + b)(a - b).
False.
(a2 - b2) = (a + b)(a - b)
200
If a does not equal 1, divide every term by ____.
For example: 2x2 - 5x = -2, divide every term by ____.
a, 2
200
Solve
-7x2 + 16x + 31 = 0
-1.2519, 3.5376
200
Complete the imaginary number equations
i, -1, -i, 1
300
What as the maximum height of the ball?
28 feet
300
Factor the trinomial:
4x2+ 12x + 9
(2x + 3)(2x + 3) or (2x + 3)2
300
Factor 4x2 - 36x6
(2x +6x3)(2x - 6x3)
300
Complete the square to solve the following equation
-3x2 - 7x + 3 = 0
x = .37 x= -2.70
300
Solve
(a+2)2 = 2a
a = -1 + i sr3
a = -1 - i sr3300
complete the imaginary number equation.
i41
i
400
Suppose a rocket is launched from a platform. The equation
h = -4.9t2 + 200t + 25
gives the rocket's height, h, in meters in terms of time, t, in seconds.
What was the initial velocity of the rocket?
200 m/sec
400
Solve for a in terms of b:
64a2 - 48ab + 9b2 = 0
a = 3/8b
400
Solve the equation
49k2 = 64
{-8/7, 8/7}
400
Complete the square to solve the equation
7x2 + 4x - 11 = 0
x = 1, x= -11/7
400
The Lower Falls in the Grand Canyon have a height of 308 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 15 feet per second.
How many seconds will it take the pebble to hit the ground?
t = 4.9 seconds
400
Write an equivalent expression
(3 - 5i) - (7 - 2i)
-4 - 4i
500
A ball is tossed in the air with an initial velocity of 12 feet per second from a height of 5.5 feet. Write an equation that represents the ball's height, h, in feet over time, t, in seconds.
-16t2 +12t + 5.5
500
Solve for w:
4w2 + 49 = -28w.
w = -7/2
500
Factor x2 + 144.
Not Factorable.
(looking for difference of squares, not the SUM).
500
Solve
-6x2 +13x - 5
x = 5/3, x=1/2
500
The Lower Falls in the Grand Canyon have a height of 308 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 15 feet per second.
How long after the pebble is thrown will it be 75 feet from the ground?
t =4.3 seconds
500
Write an equivalent expression
(3 + 8i)(5 + 2i)
-1 + 46i