Concepts Pt 1.

Question 1

Subtracting Exponents

Answer 1

You can factor out common exponents :

5^3 - 5^2 =
5^2 (5-1) =
5^2 (4) =
100

Question 2

What is an integer

Answer 2

a whole number that can be POSITIVE, NEGATIVE, or ZERO

• a non-negative integer = positive OR zero

Question 3

What to do with 3 unknown variables?

Answer 3

• Subtract one equation from the other

- Try square rooting both sides if possible

Question 4

List the answer:
1^3
2^3
3^3
4^3
5^3

Answer 4

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125

Question 5

List the answer:
1^4
2^4
3^4
4^4
5^4

Answer 5

1^4 = 1
2^4 = 16
3^4 = 81
4^4 = 256
5^4 = 625

Question 6

List the answer:
1^5
2^5
3^5
4^5
5^5

Answer 6

1^5 = 1
2^5 = 32
3^5 = 243
4^5 = 1024
5^5 = 3125

Question 7

How can you simplify:

= √12 √3

Answer 7

= √12 √3
= √12•3
= √36
=6

Question 8

Special Products:

(x + y)^2

Answer 8

(x + y)^2 = x^2 + 2xy + y^2

Question 9

Special Products:

x + y) (x - y

Answer 9

(x + y) (x - y) = x^2 - y^2

Question 10

Special Products:

(x - y)^2

Answer 10

(x - y)^2 = x^2 - 2xy + y^2

Question 11

Exponets:

a^0 =

Answer 11

a^0 = 1

Question 12

Exponets:

a ^ -m =

Answer 12

a ^ -m = 1 / (a^m)

0r conversly:
a ^ m = 1 / (a^-m)

Question 13

Exponets:

a^m • a^n =

Answer 13

a^m • a^n = a^m+n

Question 14

Exponets:

a^m / a^n =

Answer 14

a^m / a^n = a^m-n

Question 15

Exponets:

(a^m)^n =

Answer 15

(a^m)^n = a^mn

Question 16

LCM

Answer 16

least common multiple: smallest common multiple

ex: LCM of 18 and 12 use a factor tree
18 = 2x3x3
12 = 2x2x3

Therfore LCM = 2x2x3x3 = 36

Question 17

GCF

Answer 17

greatest common factor: the biggest number that both numbers are divisible by

Question 18

Prime Factor and Prime Numbers

Answer 18

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

Question 19

Mean median and modes in evenly spaced sets

Answer 19

mean = median

and std deviation is the same for 2 evenlt/same spaced sets

Question 20

Normal Distribution Percent Marks

Answer 20

Mean.
M - 1SD = 34%
1SD to 2SD = 14%
2SD to end of bell curve = 2%

Question 21

Box Wiskers

Answer 21

mid line in box = median

outside ends are Q1&Q3 (median of data avoe/below the median)

Question 22

What’s the interquartile Range?

Answer 22

Q3-Q1

Question 23

Whats a percentile

Answer 23

the proportion of a group that scores below a benchmark

Ex: 32nd percentile = 32% of people did worse

Question 24

Square Roots:

√x / √y

Answer 24

= √(x/y)

Question 25

Exponents:

x^a • y^a =

(x/y)^a =

Answer 25

x^a • y^a = xy^a

x/y)^a = (x^a) / (y^a

Question 26

Laws of Even and Odd Numbers:

even + even =

odd + odd =

even + odd =

even * even =

odd * odd =

even * odd =

Answer 26

even + even = even

odd + odd = even

even + odd = odd

even * even = even

odd * odd = odd

even * odd = even