Algebra
Simplify: 5(4ab)(3b)
60ab2
A type of conic section wherein the sum of its distances from two other points (the foci) is constant.
Ellipse
Can a function be many-to-one?
Absolutely!
Two given angles are complementary, and one of them measures 24°. What is the measure of the other one?
66°
What is the probability of getting randomly picked from a list of 100 people?
1%
What is the value/s of x in the given equation: x2 - 4 = 21
±5
What is the standard form for the equation of a circle?
(x-h)2 + (y-k)2 = r2
Given the function f(x) = 23x4 + 45x3 - 67x2 + 89x + 10, find f(0).
f(0) = 10
Find the perimeter of a rectangle with a length of 10 units and a width of 4 units.
Perimeter = 28 units
What is the circumference of a circle?
2πr
Factor completely: x3 - 9x
(x)(x-3)(x+3)
What conic section will this equation form? 25x2 - 64y2 = 1
Hyperbola
What cannot be a domain in this function?
f(x) = (x2+1)/(x-2)
x = 2
What is the length of the hypotenuse of a right triangle with the two shorter sides measuring 9 and 12, respectively?
15
What is the slope of the equation: 3x + 2y = 1
m = -3/2
Find the value/s of x in the equation: ∣2x−5∣ = 7
x = 6, x = -1
sin2(x) + cos2(x) = ?
Evaluate: log10 100
2
What should be the slope of a line for it to be perpendicular to y = -7x + 3?
m = 1/7
0.46464646...
Solve the inequality in interval notation: 4 − 2x ≥ 8
(−∞,−2]
In which quadrant/axis does (2/3)π radians lie in?
QII
Find the roots of the function f(x) = x2 − 4x + 3.
What is the formula for the surface area of a cube?
6s2 where s = length of its side
33 - 4(12-7) + 52
32