Math Final

Question 0

what does Q stand for?

Answer 0

rational

Question 1

what does the double back R stand for?

Answer 1

real numbers

Question 2

what does Z stand for?

Answer 2

integers

Question 3

what does W stand for?

Answer 3

whole numbers

Question 4

what does N stand for?

Answer 4

natural numbers

Question 5

what does I stand for?

Answer 5

irrational

Question 6

what are rational numbers?

Answer 6

terminating & repeating decimals, ratio of 2 integers

Question 7

what are integers?

Answer 7

…, -3, -2, -1, 0, 1, 2, 3…

Question 8

what are whole numbers?

Answer 8

0, 1, 2, 3, 4, …

Question 9

what are natural numbers?

Answer 9

1, 2, 3, 4, 5, …

Question 10

what are irrational numbers?

Answer 10

nonterminating & nonrepeating decimals, can’t express as a ratio of 2 integers

Question 11

what is the nth term formula for A.P.?

Answer 11

un = u1 + (n-1)d

Question 12

what is the nth term formula for G.P.?

Answer 12

un = u1 X r^(n-1)

Question 13

what is slope intercept form?

Answer 13

y=mx+b

Question 14

what is the quadratic formula?

Answer 14

x = -b +/- the square root of: b^2 of 4ac all over 2a

Question 15

when you multiply exponents, how do you get the final answer?

Answer 15

you add the exponents together

Question 16

when you have a power of a power, what do you do?

Answer 16

you multiply them

Question 17

when you divide powers, what do you do?

Answer 17

you subtract the smaller one from the bigger one

Question 18

what do you do when you have a power of a quotient?

Answer 18

the exponent is given to both the numerator & denominator

Question 19

what is anything to the zero power?

Answer 19

1

Question 20

what do you do when you have a negative exponent?

Answer 20

you reciprocate it so that if the negative power is in the denominator, you bring it to the numerator & vice versa

Question 21

what are the 3 conditions for a square root expression to be in simplest form?

Answer 21

1. no factor of the radicand is a perfect square (other than 1)
2. no fraction in the radicand
3. no square root in the denominator

Question 22

what kind of square roots can we combine (add/subtract)?

Answer 22

like radicals

Question 23

can you multiply (or divide) square roots together?

Answer 23

yes & they don’t have to be “like”

Question 24

what do you always have to do with square root equations?

Answer 24

check the solutions!!!!! (b/c there's a restricted domain)

Question 25

what are the steps in solving an equation using "completing the square" method?

Answer 25

1. move constant to the right side 2. divide both sides by coefficient of quadratic term 3. determine (b/2)² (b = coefficient of linear term) 4. add this result to both sides of equation 5. factor left side into (a +/- b)² 6. solve using square root method

Question 26

what kind of line is x=3?

Answer 26

vertical

Question 27

what kind of line is y=14?

Answer 27

horizantal

Question 28

what kind of line is y=4x+7?

Answer 28

linear

Question 29

if the rise is 0 & the run is 5, then what would the slope be?

Answer 29

0

Question 30

if the rise is 5 & the run is 0, then what would the slope be?

Answer 30

undefined

Question 31

when are two lines parallel?

Answer 31

when they have the same slope but different y-intercepts

Question 32

when are two lines perpendicular?

Answer 32

when their slopes are the opposite (or negative) reciprocals of each other

Question 33

how do you know if a line is a function or not?

Answer 33

by doing the vertical line test & making sure the line only hits the graph once

Question 34

in transformation theory, if the negative sign is outside the parentheses, then where does the reflection occur?

Answer 34

reflect over x-axis

Question 35

in transformation theory, if the negative sign is inside the parentheses, then where does the reflection occur?

Answer 35

over the y-axis

Question 36

in the order of operations for transformation theory, what must be done first?

Answer 36

reflections then the horizontal/vertical shifts

Question 37

what is the standard form for a linear equation?

Answer 37

ax+by=c | coefficients are always integers!

Question 38

what is the formula for point-slope form of a linear equation?

Answer 38

y-y(sub)1 = m(x-x(sub)1)

Question 39

in sigma notation, if i=3 is below the sigma & the number 6 is above it, what would you do?

Answer 39

start at 3 & plug 3 into the nth term formula then plug 4, 5, & 6 in

Question 40

what kind of graph is this equation: f(x) = 2ⁿ

Answer 40

exponential

Question 41

what is a perfect square trinomial?

Answer 41

a² +/- 2ab + b²

Question 42

how do you do a 3 by 1 grouping?

Answer 42

?

Question 43

what kind of graph would this equation be: f(x) = [the sq. rt. of] (x+1) -3

Answer 43

square root

Question 44

what kind of graph would go with this equation: | j(x) = -(x-2)² -1

Answer 44

quadratic

Question 45

if the disciminant = 0, then what?

Answer 45

1 rational zero

Question 46

if the discriminant is a perfect square (not zero), then what?

Answer 46

2 rational zeros

Question 47

if the discriminant > 0 & not a perfect square, then what?

Answer 47

2 irrational zeros

Question 48

if the discriminant < 0, then what?

Answer 48

no real zeros

Question 49

what kind of graph is this equation: | f(x) = -1/x-2 +3

Answer 49

rational

Question 50

what does "and" mean?

Answer 50

intersection, conjunction

Question 51

what does "or" mean?

Answer 51

union, disjunction

Question 52

what kind of graph is this equation: | 4 - I2x+5l > 2

Answer 52

absolute value graph

Question 53

what is the formula for projectile motion?

Answer 53

h(t) = 1/2gt²+V₀t+h₀

Question 54

what is gravity in m/sec²?

Answer 54

-9.8 m/sec²

Question 55

what is gravity in ft./sec²?

Answer 55

-32 ft/sec²

Question 56

what do we assume if the initial height is not given in projectile motion problems?

Answer 56

that the object is on the ground [h(t)=0]