Quadratics
For the quadratic 3x2+4x-3, what is the sum of the zeroes?
-4/3
Midpoint formula
(average of X terms, average of Y terms)
By what percentage does the number 8 exceed the number 6?
33.33%
What is the length of the diagonal of a rectangle with a length of 12 and a width of 5?
13
If sin(x) = cos(y), what is the value of x+y?
90
What is the vertex of the given parabola, AND is the parabola opening upward or downward:
y=-(x-3)2+4
Vertex: (3,4)
Opening downward
Distance formula
d=√(x2−x2)2+(y2−y1)2
Given the following finite arithmetic sequence 357, 359, 361, 363, 365, 367, 369, 371, 373, let "a" represent the mean of the sequence, and let "b" represent the median of the sequence. What is the value of a-b?
0
If a right circular cylinder has a volume of 125π cm3 and a radius of 5, what is the height of the cylinder?
5
Which trig function (sin, cos, or tan) is positive in the fourth quadrant?
Cosine
At how many points do the functions y=-3x2+2x-6 and y=-7 intersect?
2
Slope formula
(y2-y1) / (x2-x1)
What is the positive difference between the two solutions of the following expression: |x-3| = 5
10
Triangles ABC and DEF are similar. If angle A measures 32 degrees, and angle F measures 123 degrees, what is the measure of angle B?
25 degrees
Convert 120 degrees to radians
2/3π
What is the x-coordinate of the vertex of the given parabola: f(x)= 2x2-3x+5
3/4
𝑥=(−𝑏± √𝑏2−4𝑎𝑐) / 2𝑎
For the given function, how many years, t, does it take for our initial value to triple? f(x)= 100(3)t/5
5
A square is inscribed in a circle with radius of 3√2 inches. What is the area of the square in inches?
36
In right triangle ABC, B is the right angle. If sin A = 4/5, what is the value of sin C?
3/5
For what value(s) of b will the following quadratic have 1 solution: x2+bx+16=0
{8,-8}
Arc length formula (radians)
S = θr
What value(s) is/are not included in the domain of the function f(x) = (x-3)/(x2-4)
{2, -2}
A linear function f is defined by f(x)=cx+d, where c and d are constants. If f(10)=23 and f(12)=35, what is the value of c?
6
5/9