Polynomials/ Rationals
Absolute Value/Piecewise
Exponential/ Logarithmic
Trigonometric Functions
Quadrilaterals/ Triangles
Composition and Inverses
Circles
100
Simplify the rational expression.
(2x^2+2x-4)/(x^2-5x-14)
(2(x-1))/(x-7)
100
Set up the two equations needed to solve this equation.
|x+3|+2 = 5
x+3 = 3
x+3 = -3
100
Write 53=123 in logarithmic form.
log5125=3
100
What is the amplitude of the equation:
y= -4sin(x) +5
4
100
If QS = 24. What does QO = ?
12
100
Find f–1(5) if f(x) = 1/(x+3)
–14/5 or –2.8
100
What is standard form of a circle?
(x-h)^2 + (y-k)^2 = r^2
200
Find the result when x4-2x3-21x2-10x+22 is divided by x+3.
x^3-5x^2-6x+8-2/(x+3)
200
Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(5)
43
200
Imaginary lines that a function or an equation approaches more and more closely are called:
Asymptotes
200
To convert any angle from degrees to radians, you can multiply by ______ and divide by _____.
multiply by pi, divide by 180
200
To inscribe a circle about a triangle, you use the __________.
incenter
200
Find f–1(x) if f(x) = 0.5x + 2
2x – 4
200
x2+y2-28x+10y+220=0
Write in standard form
(x-14)2+(y-5)2=1
300
Find both the horizontal and vertical asymptotes
horizontal asymptote: y=-3
vertical asymptote: x=-8
300
-4| 8 - 3n | = 16
No solution
300
Solve log2(x) + log2(x – 2) = 3
x=4
300
sin(5pi/4 radians)
(unit circle)
What is -sqrt(2)/2
300
Name the point of concurrency for Medians of a triangles.
Centroid
300
f(x) = 3x and g(x) = –4x
Find f[g(x)]
–12x
300
Write the equation of a circle if the center is (2, 3) and the diameter is 10
(x-2)2+(y-3)2=25
400
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
400
| 3n + 18| = 6n
n=6
400
Solve the exponential equation:
-6*15^(k-10)=-54
10.6616
400
tan(pi/2 radians)
undefined
400
This quadrilateral has 2 pairs of congruent sides and 90 degree angles.
Rectangle
400
f(x) = 5 + 3x – 3x2 and g(x) = 3 – 2x
Find f[g(f(2))]
–55
400
x2+y2-2x+24y+120=0
Identify the center and radius
(1,-12)
5
500
Solve the equation.
1/(x+6)+(x+1)/x=13/(x+6)
x=2,3
500
Evaluate the following piecewise function at the indicated values. f(x)= -x-7, if x≤2 & 3/2x+3, if x>2 f(5)
10.5
500
Solve 4^x = 7^x+1
What is x= -3.48
500
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
500
What is the measure of angle C?
110 degrees
500
f(x) = 4x – 5 and g(x) = x – 3
Find g[f(2)]
0
500
Center: (2, −5) Point on Circle: (−7, −1)
Write the equation
(x − 2)2 + (y + 5)2 = 97