Special Cases
All trinomials
Inequalities
Solve
Graphs
100
Factor:
6n2+9n
3n(2n+3)
100
Factor:
x2+3x+2
(x+1)(x+2)
100
Write the solution in interval notation
[-4, -1)
100
Solve:
x2 + 3x + 2 = 0
x = -1
x = -2
100
Does this graph have a max or a min? What are the coordinate for the max/min (vertex)? f(x) = -1/2(x-1)2 + 2
Max; (1,2)
200
Factor:
t2-14t+49
(t-7)2
200
Factor:
x2-x-6
(x+2)(x-3)
200
Give a positive integer that could be the y value in the ordered pair to create a TRUE solution of the inequality.
y < x2 + 4x +4 (1,y)
1, 2, 3, 4, 5, 6, 7, or 8
(y<9)
200
Solve:
k2-81 = 0
k = ± 9
200
What is the domain? What is the range? Use interval notation. f(x) = -1/2(x-1)2 + 2
D: (- ∞, ∞ )
R: ( -∞, 2]
300
Factor:
49x2-4
(7x-2)(7x+2)
300
Factor:
2x2+11x+12
(x+4)(2x+3)
300
Describe the number line for the solution of the inequality:
x2 + 9x + 20 ≥ 0
Closed dots on -5 and -4; Shade outside of -5 and -4
300
Solve:
2x2+10x=12
x=-6, x=1
300
What are the solution(s)? f(x) = -1/2(x-1)2 + 2
x= - 1, x = 3
400
Factor:
81y2+49
Prime
400
Write a quadratic equation in standard form with integer coefficients
x = -5, x = 7
x2 - 2x - 35 = 0
400
Which function matches the graph?
(a)y> (x-4)2 - 1 (b)y< (x-4)2 - 1 (c)y> (x-4)2 + 1
(d)y< (x-4)2 + 1 (e)y> -(x-4)2 + 1 (f)y< -(x-4)2 + 1
(g)y> -(x-4)2 - 1 (h)y< -(x-4)2 - 1
(e)
400
Solve:
2x2+24=19x
x=8, x=3/2
400
What is the function increasing? Decreasing? Use interval notation. f(x) = -1/2(x-1)2 + 2
I: (-∞, 1)
D: (1, ∞)
500
Factor:
-14x3y3+7y2-21xy
7y(-2x3y2+y-3x)
500
Write a quadratic equation in standard form with integer coefficients
x = 2/3, x = 8
3x2 - 26x + 16 = 0
500
Solve the quadratic inequality and graph on a number line. State your answer in interval notation.
x2+10x > -21
Open dots on -7 and -3, color outside of -7 and -3
(-∞,-7) (-3, ∞)
500
Solve:
4x2 = 3 + 4x
x= 3/2, x= -1/2
500
The function below represents a child throwing a water ballon out of the window where x represents the time in seconds, and y represents the distance in meters. f(x) = -1/2(x-1)2 + 2
What is the height of the window? When does the water balloon hit the ground? What is the maximum height of the water balloon?
Window: 1.5 meters
Ground: 3 seconds
Height: 2 meters