What is the GCF?
Difference of Squares
Factoring
Quadratic Features
Quadratic Features
In Context
In Context
100
What is the greatest factor of 28 and 49?
7
100
What is the square root of 25?
5
100
Factor:
x²+9x+14
(x+7)(x+2)
100
What is the y-intercept of the graph?
(0,2)
100
The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=−x2+14x
where x = amount of rainfall (cm) and
m(x) = amount of mosquitoes in millions
What is the maximum possible number of mosquitoes?
HINT: graph the function
49 million
200
What is the GCF of 18k and 15k³
3k
200
Factor: x²-49
(x+7)(x-7)
200
Factor: x²+2x-3
(x-1)(x+3)
200
Identify the vertex of the graph:
(4,-6)
200
A local company's main source of income is selling holiday earrings.
The company's annual profit (in thousands of dollars) as a function of the price of the earrings (in dollars) is modeled by:
P(x)=−2x2+16x−24
where x = price of the earrings and P(x) = dollar amount, in thousands, of annual profit
What earring price should the company set to earn a maximum profit?
$4
300
What is the GCF of 2x2 and 3y
1
300
Factor: 3x²-75
3(x+5)(x-5)
300
Factor Completely: 6x²+5x-6
(3x-2)(2x+3)
300
What is the domain of the graph?
All Real Numbers
300
A rock was launched and it's path is modeled in the picture. What height was the rock throw from?
2 ft
400
Factor out the GCF:
2n²-8n³
2n²(1-4n)
400
Factor: x²+16
Cannot Factor, is not a difference of squares
400
Factor Completely: 4x²-17x+4
(4x-1)(x-4)
400
What is the range of the function?
Any of these will do:
[-6, ∞)
-6 ≤ y ≤ ∞
y ≥ -6
400
A rock was launched and it's path is modeled in the picture. How long did it take the rock to reach the ground?
4.16 seconds
500
Factor out the GCF: 3x³ + 9x²- 15x
3x(x²+ 3x - 5)
500
Factor:5x²-45
5(x+3)(x-3)
500
Factor Completely: 10x²+15x-45
5(x+3)(2x-3)
500
What is another word for zeros?
Any of these will do:
- Roots
- X-intercepts
- Solutions
500
A ball was thrown and its trajectory is depicted in the diagram.
How many seconds did it take for the ball to reach it's maximum height?
2 seconds