SAT Math Level 2 - MISCELLANEOUS TOPICS

Question 1

Finite Limits

Answer 1

These are where x gets closer to a particular number

3 stage process:

1) Factor
2) Cancel out terms
3) Take the number under the lim sign and substitute that number into what’s left of the expression

Question 2

Infinite Limits

Answer 2

They key equation to remember is that 1 / infinity = 0

Question 3

Converse Proof

Answer 3

To get the converse of a conditional statement, you change the places of X and Y

Question 4

Contrapositive Proof

Answer 4

Suppose we have a conditional sentence of the form
If X, then Y
To get the contrapositive of the conditional statement, you make this conditional:
If not Y, then not X

Question 5

Counterexample Proof

Answer 5

A counterexample is an example which proves that a particular claim is wrong

Question 6

Magnitude of a vector

Answer 6

a | = use Pythagoras to find magnitude

Question 7

Unit vector

Answer 7

has a magnitude 1

Question 8

i =

Answer 8

square root negative 1

Question 9

i squared =

Answer 9

-1

Question 10

Conjugate of a + bi =

Answer 10

a - bi
etc. 7 + 2i = 7 - 2i and -6i = 6i
If you multiply a complex number by its conjugate, you get a real number