Concepts Pt 1. Flashcards
Subtracting Exponents
You can factor out common exponents :
5^3 - 5^2 =
5^2 (5-1) =
5^2 (4) =
100
What is an integer
a whole number that can be POSITIVE, NEGATIVE, or ZERO
- a non-negative integer = positive OR zero
What to do with 3 unknown variables?
- Subtract one equation from the other
- Try square rooting both sides if possible
List the answer: 1^3 2^3 3^3 4^3 5^3
1^3 = 1 2^3 = 8 3^3 = 27 4^3 = 64 5^3 = 125
List the answer: 1^4 2^4 3^4 4^4 5^4
1^4 = 1 2^4 = 16 3^4 = 81 4^4 = 256 5^4 = 625
List the answer: 1^5 2^5 3^5 4^5 5^5
1^5 = 1 2^5 = 32 3^5 = 243 4^5 = 1024 5^5 = 3125
How can you simplify:
= √12 √3
= √12 √3
= √12•3
= √36
=6
Special Products:
(x + y)^2
(x + y)^2 = x^2 + 2xy + y^2
Special Products:
x + y) (x - y
(x + y) (x - y) = x^2 - y^2
Special Products:
(x - y)^2
(x - y)^2 = x^2 - 2xy + y^2
Exponets:
a^0 =
a^0 = 1
Exponets:
a ^ -m =
a ^ -m = 1 / (a^m)
0r conversly:
a ^ m = 1 / (a^-m)
Exponets:
a^m • a^n =
a^m • a^n = a^m+n
Exponets:
a^m / a^n =
a^m / a^n = a^m-n
Exponets:
(a^m)^n =
(a^m)^n = a^mn
LCM
least common multiple: smallest common multiple
ex: LCM of 18 and 12 use a factor tree
18 = 2x3x3
12 = 2x2x3
Therfore LCM = 2x2x3x3 = 36
GCF
greatest common factor: the biggest number that both numbers are divisible by
Prime Factor and Prime Numbers
1 is not a prime facto.
A factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original number.
2 is the smallest prime and the only even prime.
Memorize all primes below 60: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59
Mean median and modes in evenly spaced sets
mean = median
and std deviation is the same for 2 evenlt/same spaced sets
Normal Distribution Percent Marks
Mean.
M - 1SD = 34%
1SD to 2SD = 14%
2SD to end of bell curve = 2%
Box Wiskers
mid line in box = median
outside ends are Q1&Q3 (median of data avoe/below the median)
What’s the interquartile Range?
Q3-Q1
Whats a percentile
the proportion of a group that scores below a benchmark
Ex: 32nd percentile = 32% of people did worse
Square Roots:
√x / √y
= √(x/y)
Exponents:
x^a • y^a =
(x/y)^a =
x^a • y^a = xy^a
x/y)^a = (x^a) / (y^a
Laws of Even and Odd Numbers:
even + even =
odd + odd =
even + odd =
even * even =
odd * odd =
even * odd =
even + even = even
odd + odd = even
even + odd = odd
even * even = even
odd * odd = odd
even * odd = even