Math Pt. 2

Question 1

How to solve absolute value equations

Answer 1

1. Isolate the absolute value
2. Set the answer as positive and negative
3. Solve for x for both equations

Question 2

9 rules of exponents

Answer 2

See Word doc

Question 3

Percent equation

Answer 3

% = part/whole x 100

Question 4

Two instances of undefined numbers

Answer 4

1. Dividing by zero

2. Square root of negative

Question 5

How to make a factor tree for prime factorization

Answer 5

1. Find two factors of the number

2. Repeat the process for each of the resulting branches and they all end in a prime

Question 6

How to draw a normal distribution graph

Answer 6

Draw a bell curve separated into 6 vertical lines: -2SD, -1SD, mean, 1SD, 2SD.
From left to right, the sections are ~ 2%, 14%, 34%, 34%, 14%, 2% (as in percent of data points).

Question 7

What does standard deviation mean

Answer 7

Standard deviation is a measure of the average distance between the values of the data in the set and the mean.

Question 8

What does a box plot mean

Answer 8

The quartiles of a set of values are the three points that divide the data set into four equal groups, each representing a fourth of the population being sampled. The middle line represents the median.

Question 9

Factoring exponents

Answer 9

1. Look for squared bases e.g. 64^3=(8^2)^3
2. Convert to prime numbers e.g. 20^6=(2^2x5)^6
3. Factor using common bases e.g. 15^15-15^14=15^14(15-1)

Question 10

Difference betweem permutations and combinations

Answer 10

With a combination, the order is irrelevant (must divide out redundancies).

Permutations often ask for arrangements, orders, schedules or lists.