Methodology
And how should you organize this time?
Make individual passes answering, saving time-consuming or otherwise difficult questions for a second (or third) pass
When multiplying two terms with the same base, _______ the exponents
Add
What is the Pythagorean theorem?
a2 + b2 = c2
What is the probability formula?
Probability = # Desired / # Total
What is the mnemonic to remember the basic trigonometric function?
SOHCAHTOA
No. They are arranged in approximate order of difficulty, but sometimes easy, little-effort questions can appear later in the section.
What are the Order of Operations?
PEMDAS
(Double this award if you can explain how absolute values fit in this ordering.)
What are similar triangles?
They have the same angle measurements and proportional sides
What are the total number of outfit combinations from 3 hats, 7 shirts, and 5 pairs of pants?
105
What is the standard form equation for a circle?
(x-h)2 + (y-k)2 = r2
Name an approach to use in answering a call instead of doing the traditional math
Picking Numbers
Backsolving
Strategic Guessing
What is the equation for a line in slope/intercept form?
y = mx + b
Name two common Pythagorean triples
3-4-5
5-12-13
What are the number of distinct permutations of the word MISSISSIPPI?
11!/4!4!2! = 34650
How can you find the period and amplitude of trigonometric functions?
Graph. Period = distance it takes for the wave to complete one full oscillation; Altitude = distance from the center to the top of the wave.
On which questions should you use a calculator?
When operating on large numbers; graphing quadratics; finding roots of complicated quadratic equations,etc.
Just be careful to not overuse!
When solving an inequality, when, if ever, do you flip the inequality sign?
When multiplying or dividing by a negative value
What is the volume of a right cylinder with a radius of 5 units and a height of 8 units?
200 pi units cubed
Mean, Median, Mode, and Range
Mean = 72.6
Median = 71
Mode = 71
Range = 10
What are inverse trig functions and when do you use them?
To use when you have the ratio of the relevant sides and need to find the related angle
When is it important to make sure you calculator is not operating in radian mode instead of degree mode?
Whenever using radians as measurements, which occurs frequently when doing calculations with trigonometric functions and always when graphing those functions
What are two ways to solve a quadratic equation?
FOIL
Quadratic Formula
(Bonus: What are two ways to solve systems of equations?)
What are the ratios of the sides in a 30-60-90 triangle?
1; sq root 3; 2
(Bonus: what are the ratios for a 45-45-90 triangle?)
How do you calculate an expected value?
What do you know about the slopes of parallel lines and perpendicular lines?
Parallel lines have identical slopes; perpendicular lines have negative reciprocal slopes.