What is the result when you take the square root of 25?
sqrt(25)
x=5, x=-5
What are the three factoring methods that we have learned?
GCF, DOTS and Sum and Product
What is the graph of a quadratic function called?
What is a rational number?
Any number that can be written as a fraction.
What is this person's name and what is he known for?
Alex Trebek
Simplify in simplest radical form:
sqrt(45)
3sqrt(5)
Factor:
9x^2 -25
(3x+5)(3x-5)
Determine the axis of symmetry of the function:
2x^2 +4x-10
x=-1
What is the golden rule of inequalities?
When dividing by a negative, flip the direction of the inequality symbol.
What property is being described below?
a*(b*c) = (a*b)*c
Associative Property
Find the sum of:
3sqrt(5)+2sqrt(45)
9sqrt(5)
Factor completely:
3x^2+9x-30
3(x+5)(x-2)
If the zeros of a function are -2 and 3, then what are the factors?
(x+2)(x-3)
Determine if the product is rational or irrational. Explain your answer.
sqrt(36) and -5.1
-30.6 is rational because it can be written as a fraction.
What holiday did Mrs. Auletta's birthday fall on this year?
Thanksgiving
Find the product of the following in simplest radical form:
sqrt(8) * sqrt(5)
2sqrt(10)
Factor completely:
y^4-100x^2
(y^2-10x)(y^2+10x)
Use the method of completing the square to solve for x:
x^2 + 4x -32 = 0
x=-8, x=4
What is the leading coefficient of the polynomial:
5x^3 + 2x -9 +3x^5
3
Given the scenario: A population of bacteria grows at a rate of 0.75% each day.
Determine whether the scenario would best be represented by a linear or exponential function. Explain your answer in your response.
Exponential, because the rate is growing at a percent.
Rationalize the denominator:
2/sqrt(6)
(sqrt(6))/3
The area of a rectangle is represented by x2 + 3x + 2. Find the length and width of the rectangle, in terms of x.
L=(x+2)
W=(x+1)
or
W=(x+2)
L=(x+1)
Algebraically determine the zeros of the quadratic by factoring:
6x^2+18x-60=0
x=-5, x=2
What is the product of:
(x+2)(x2+3x-4)
x3+5x2+2x-8
Which music artist won "ALBUM OF THE YEAR" at the 2025 Grammys?