Semester exam Flashcards by zzz F

Which is the dependent variable?

‘Y’ is the dependent variable

How well did you know this?

Not at all

Perfectly

what is line Y = 4X + 15 and Y = 4X + 45’s relationship ?

Parallel lines

How well did you know this?

Not at all

Perfectly

How do we get a perpendicular line?

Slope 1 x Slope 2 = -1

or (-1 / Slope 1) = Slope 2

How well did you know this?

Not at all

Perfectly

what is line y = 2x + 1 and y = −0.5x + 4’s relationship?

Perpendicular lines

How well did you know this?

Not at all

Perfectly

what does BIDMAS stand for?

Brackets, Indecies, Division, Multiplication, Addition, Subtraction

How well did you know this?

Not at all

Perfectly

What two parts of BIDMAS go in order by left to right instead of over-riding each other?

Division is not more prioritized than multiplications
neither is addition over subtraction
they both go ‘left to right’

How well did you know this?

Not at all

Perfectly

X-intercept is?

the value of X when Y = 0

How well did you know this?

Not at all

Perfectly

Y-intercept is?

The value of Y when X = 0

How well did you know this?

Not at all

Perfectly

What does the big ‘n’ stand for/do in set theory?

n = intersection. It describes the variables that fit both groups ( Chickens fit the intersection of the groups: “bird’s” and “farm animal’s”)

How well did you know this?

Not at all

Perfectly

What does the big ‘U’ stand for/do in set theory?

U= unison. It describes the variables that are in either groups (Peacocks and Cows fit either groups: “birds” or “farm animal’s”)

How well did you know this?

Not at all

Perfectly

What does the big ‘⊆’ stand for/do in set theory?

⊆= sub set. It describes how one group is a more specific set inside a bigger group. (“birds” are a subset of “animals” = “Birds” ⊆ “Animals))

How well did you know this?

Not at all

Perfectly

What is the formulae for a percent?

percent (in decimal form) times by whole number = peice of whole. 0.5 X 6 = 3. 3 is 50% of 6
OR
percent / 100 = part / whole

How well did you know this?

Not at all

Perfectly

What is the formulae for ‘change in percent?’

change in value times divided by original amount times by 100 = change in percent.

(-2/50) = -0.04 x 100 = -4% = change in percent.

How well did you know this?

Not at all

Perfectly

Graphing Midpoint Formulae?

X= X1 + X2 divided by 2. Y= Y1 + Y2 divided by 2.

(2,4) and (8,5) midpoint?

= 8+2 = 10/2 = 5 = x value
=5+4 = 9/2 = 4.5 = y value

= (5,4.5)= midpoint

How well did you know this?

Not at all

Perfectly

Direct Variation Formulae?

Y = KX

Y = dependent variable
X = independent variable
K = constant variable

How well did you know this?

Not at all

Perfectly

Graphing: x-value reflection transformation?

Y = MX + B to Y = -M(X) + B

How well did you know this?

Not at all

Perfectly

Graphing: y-value reflection transformation?

Y = MX + B to Y = M(-X) + B

How well did you know this?

Not at all

Perfectly

Graphing: translation?

Y = MX + B to Y = MX + (B+A)

How well did you know this?

Not at all

Perfectly

what could distance formulae help calculate in the test?

triangles (other shapes)

How well did you know this?

Not at all

Perfectly

How do you calculate the longer/sloped side of the triangle?

you square the other two lines and add them together

(AxA) + (BxB) = (CxC)

find square root of result

= C

How to find distance of one point of a slope to the other?

the distance of two points is the distance of X squared
plus the distance of Y squared
and taking the result and then fining the square root of the answer

(X2-X1)= A
(Y2-Y1)=B

(AxA) + (BxB) = (CxC)

find square root of result
= C

C = distance

What is an arithmetic sequence?

An infinitely going sequence of numbers that is calculated with a constant:

1, 4, 7, 10, 13, 16, 19, 22, 25, …
A+ (0xD) = 1, A+(1xD) = 4, A+(2+D)…

the distance between each number is 3 (D = 3)
the starting point is 1 (A = 1)
N is a shifting state (N = 1, 2, 3, 4, 5…)

The formulae is = Xn = A + D(n-1)

How does an arithmetic sequence work?

The formulae is = Xn = A + D(n-1)

N is the step the sequence is in
(N = 1, 2, 3, 4, 5, 6…)

X is the product of the formulae, the N next to it specifies which ‘step’ the number is

A is constant, it is the starting point in the sequence

D is the number that the sequence shifts in each time

(n-1) is the step the number is on. shifted one down to eliminate the first because it’s is just ‘A’

Identify the solutions of the inequality 11 ≤ p + 5.

all real numbers greater than or equal to 6

Carpenter A charges $50 an hour. Carpenter B charges $20 to visit your home plus $45 for each hour. For how many hours will the total cost for each carpenter be the same? How much will that cost be? If a customer thinks they need a carpenter for 3 hours, which carpenter should be hired?

4 hrs; $200 | carpenter A is cheaper for less than 4 hours

Juliet went to the mall to buy clothes for the new school year. Shirts cost $15 and pants cost $40. If Juliet bought 10 items of clothing for a total of $225, how many shirts and pants did she buy?

7 shirts and 3 pants

What is an integer?

A whole counting number including negatives and zero | -infinity)...-3, -2, -1, 0, 1, 2, 3...(+infinity

What are whole numbers?

positive counting numbers (positive integers) starting: 0, 1, 2, 3, 4, 5 (+infinity)

What are rational numbers?

Numbers that can be described properly as a fraction including: integers, decimals; numbers that are not rational are numbers that cannot be described in a finite amount of numbers or any fraction, there fore needing a symbol irrational numbers: ( √2, π, e, and φ)

What are real numbers?

any number that can be on the number line 1, 1.000~1, 1.000~2 (so-on) 2, 2.00~1, 2.00~2 --infinity this is all rational numbers, irrational numbers, integers, and whole numbers

What are imaginary numbers?

Pfft, I dunno 0, sometimes, if it wants to be... (?)

Would integers be a subset of whole numbers

nope. whole numbers are positive integers

can irrational numbers be a subset of real numbers

yes, real numbers are any numbers that you can interpret on the number line

what quadrant would (4.-4) be in?

quadrant IV or quadrant 4

What quadrant would (-6, 7) be in?

quadrant II or quadrant 2

What quadrant would (7, 7) be in?

quadrant I or quadrant 1

What quadrant would (-1,-1) be in?

quadrant III or quadrant 3

What is the domain?

usually the independent variable or X

What is the range?

usually the dependent variable Y. product of the domaine in the relationship

What is the range in a function?

The product of X after going through a function, yielded exclusively by it's own Xn

What is a function?

Function: A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.

What is a linear function?

A straight slope that each X has it's own exclusive Y so not anything with a slope like: 5/0 or 0/5

what would f(X)=7x + 3 be translated across the X-axis

g(X)= -7X - 3

what would f(X)=7x + 3 be translated across the Y-axis

g(X) = -7x + 3

``` Find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6). ```

y = 4x – 2 process y1 = -6 X1 = -1 ``` y – y1 = m(x – x1) y – (–6) = (4)(x – (–1)) y + 6 = 4(x + 1) y + 6 = 4x + 4 y = 4x + 4 – 6 ``` y = 4x – 2

``` How do you find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6). ```

``` y – y1 = m(x – x1) y – (–6) = (4)(x – (–1)) y + 6 = 4(x + 1) y + 6 = 4x + 4 y = 4x + 4 – 6 ``` to keep consistent, you need to take the first step of Y from the Y value. same with X. the numerical value that is left next to the X afterwards is the Y-intercept

Arithmetic sequence formulae question: What is the A in "Xn= A + D(n -1)?"

A is the value that the arithmetic sequence starts off with in 3, 4, 5, 6, 7, 8 A = 3

Arithmetic sequence formulae question: What is the D in "Xn = A + D(n - 1)?"

The amount that the arithmetic sequence progresses in each step in 3, 6, 9, 12, 15, 18 D = 3