Inequalities
Polynomial Operations
Factoring
Quadratic Functions
Quadratic Equations
100
True of False:
You should flip the directions of the inequality sign when adding or subtracting a negative number
False
100
Perform the indicated operation:
(6x^2+2x-8)-(4x^2-8x-4)
2x^2+10x-4
100
Factor completely:
x^2+11x+30
(x+5)(x+6)
100
Identify the vertex:
f(x)=2x^2+12x+13
(-3,-5)
100
Solve by factoring:
x^2+6x+8=0
x=-4, x=-2
200
Solve: -2/3x-5>=7
x<=-18
200
Perform the indicated operation:
(2x^2-2x+4)+(x^2-3x+2)
3x^2-5x+6
200
Factor completely:
81x^2-121
(9x-11)(9x+11)
200
Identify the following for 2(x+2)^2-14
-Concavity:
-Max or Min:
-Vertex:
-Translations:
-Concavity: UP
-Max or Min: Minimum
-Vertex: (-2, -14)
-Translations: left 2 and down 14
200
Solve by factoring:
x^2-12x=-32
x=4, x=8
300
Solve: -2(x-3)>2
x<2
300
Ellie and Gracie have a sandbox in their backyard. The sandbox has a width or (3x+7) inches and a length of (4x-8) inchese.
Write a polynomial that represents the perimeter, P=2l+2w , of the box. Be sure to simplify your expression
P=14x-2 inches
300
Factor completely:
3x^2-16x-12
(3x+2)(x-6)
300
Identify the following:
-Concavity:
-Max/Min:
-Vertex:
-Y-intercept:
-X-intercept:
-Concavity: Down
-Max/Min: Max
-Vertex: (3,4)
-Y-intercept: (0,-5)
-X-intercept: (1, 0) and (5,0)
300
Solve by using the quadratic formula:
2x^2-7x+3=0
x=1/2, 3
400
Graph the inequality and shade appropiately
y<1/5x+4
400
Perform the indicated operation:
(2x+4)(5x-3)
10x^2+14x-12
400
Factor completely:
3x^2+5x-2
(x+2)(3x-1)
400
A dive team member performs a dive from a high springboard. The path or her dive follows the graph below
a. How high was the diver after 6 seconds?
b. How long was the diver in the air?
a. 14 feet
b. 8 seconds
400
Solve using the quadratic formula:
3x^2-11x-4=0
x=-1/3, 4
500
Write <, <=,>,or >= in each empty box below to correctly fill in the inequality.
500
Perform the indicated operation:
(3x-2)^2
9x^2-12x+4
500
Explain why the polynomial x^2+9x+12 is prime
The polynomial is prime because there are no factor of 12 that will add up to be 9
500
A dive team member performs a dive from a high springboard. The path or her dive follows the graph below.
a. What was the starting height of the diver?
b. How long did it take for the diver to reach her highest height?
a. 14 feet
b. 3 seconds
500
Solve by factoring:
3x^3-33x^2+90x=0
Hint: There are three answers
x=0, 5, 6