Quantitative Flashcards

(49 cards)

1
Q

Integers

A

Any counting number including negative numbers (e.g. -3, -1, 2, 7…but not 2.5)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Real Numbers

A

Numbers that appear on the number line (i.e., one that is not imaginary) including pi, the square root of 2, etc.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Order of Operations

A

PEMDAS: parentheses, exponents, multiplication/division, addition/subtraction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Prime Numbers

A

Number that is divisible only by itself and 1. Examples are 2, 3, 5, 7, 11. 1 is not a prime, 2 is the smallest prime and only even prime.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Prime Factorization

A

The prime factorization of a number is dividing it into its constituent primes. So for 21, this is 3 x 7; for 60, 2 x 2 x 3 x 5. 7644 = 2 x 2 x 3 x 7 x 7 x 13.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Greatest Common Factor (aka greatest common divisor)

A

The biggest factor shared by the two given numbers. The GCF of 12 and 30 is 6 – it is the biggest divisor they both share. If two numbers share no primes, the GCF is 1.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Least Common Multiple

A

The smallest positive integer between two numbers as a factor. The LCM of 4 and 6 is 12 – it is the smallest number that has both 4 and 6 in its divisors.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Absolute Values

A

The absolute value of a number is its distance from a number line (no negatives).
|x| = x, |-x| = x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Percentages

A

Percent is per 100. To find what percent some part of a whole use:
part / whole = percent / 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Percent Change

A

Percent change: % change = change/original value
If the price of something goes from $40 to $52, the percent change is:
(52-40)/40 = 12/40 = 3/10 = 30/100 = 30%

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Roots: Perfect Squares

A

Numbers with integers as their square roots: 4, 9, 16, 25, etc.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Roots: Cube roots

A

3√x is a number that, when cubed, equals x.

Example 3√-8 = -2.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Roots: Adding roots

A

2√7 + 9√7 = 11√7.

Roots can be added like variables.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Statistics: Mean, Median, Mode

A
Mean = average, total sum / n
Median = middlemost value when numbers are arranged in ascending order; for an even amount of numbers, take the average of the middle two
Mode = the number that occurs most frequently
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Statistics: Standard Deviation and Variance

A

The standard deviation represents the average distance the data values are away from the mean. Variance = SD^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Counting: Combinations

A

nCr = n! / r!(n - r)!
Example: 5c3 = 5! / 3!(2!) = 10
When the order does not matter – for example, picking any 3 friends from a group of 5.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Counting: Permutations

A

nPr = n! / (n - r)!

When the order does matter – for example, how many ways you could order 3 letters from the word PARTY?

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Probability: Formula

A

Probability that event A will happen:

P(A) = number of outcomes where A occurs / total number of outcomes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Formulas: Area of Square

A
A = s x s
(s = side)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Formulas: Perimeter of Square

A

P = s + s + s + s

21
Q

Formulas: Area of Rectangle

A

A = L x w

length times width

22
Q

Formulas: Perimeter of Rectangle

23
Q

Formulas: Area of Triangle

A

A = 1/2bh

half base times height

24
Q

Formulas: Perimeter of Triangle

A

P = a + b + c

add all sides

25
Formulas: Area of Trapezoid
A = ((b1+b2)/2)*h | base 1 plus base 2
26
Formulas: Perimeter of Trapezoid
P = s1 + s2 + b1 + b2 | add all the sides
27
Formulas: Area of Circle
A = πr^2
28
Formulas: Circumference of Circle
C = 2πr
29
Formulas: Area of Semicircle
A = (πr^2)/2
30
Formulas: Perimeter of Semicircle
P = 1/2πd + d
31
Special Triangles: 45-45-90
An isosceles right triangle, side lengths create a ratio of 1:1:√2. Sides opposite of the 45 angles are x and side opposite of the 90 angle is x√2.
32
Special Triangles: 30-60-90
Angles are 30, 60, 90. Side lengths create a ratio of 1:√3:2. Hypotenuse is twice the length of the side opposite of the 30, the other side is √3 times the side opposite of the 30.
33
x^-2 = _____
1/x^2 | Law of negative exponents. N^-a = 1/N^a
34
x^1/3 = _____
3sqrt(x) | Law of fractional exponents. n^1/a = asqrt(n)
35
1^0, 5^0, 10^0, x^0 = _____
1. | Zero exponents.
36
x^-1 = _____
1/x | Negative 1 exponents. n^-1 = 1/n
37
3^4 x 3^6 = _____
3^10 | Product of exponents. N^a x N^b = N^(a+b)
38
2^5 x 4 ^5 = _____
(2 x 4)^5 | Product of exponents. N^a x M^a = (N x M)^a
39
Formulas: Rates (speed, distance, time)
``` Distance = s x t Time = d / s Speed = d / t ```
40
Formulas: Average Speed
Average speed = total distance / total time
41
Formulas: Work
Work = xy / x + y Where x is the time it takes the first worker to complete the job. Where y is the time it takes the second worker to complete the job.
42
Coordinate Geometry: Slope
M = rise/run = (y2-y1) / (x2-x1)
43
Coordinate Geometry: Slope intercept form
y = mx + b
44
Odd + Odd = _____
Even | -Number Properties
45
Even + Even = _____
Even | -Number Properties
46
Odd + Even = _____
Odd | -Number Properties
47
Odd x Odd = _____
Odd | -Number Properties
48
Even x Even = _____
Even | -Number Properties
49
Odd x Even = _____
Even | -Number Properties