Arithmetic, Algebra, and Graphs Flashcards
b^p x b^q = ?
b^p+q
b^p/b^q = ?
b^p-q
(b^p)^q = ?
b^p*q
b^0 = ?
1 (if b isnt 0)
b^-p = ?
1/b^p
(ab)^p = ?
a^p b^p
(a/b)^p
a^p/b^p
When multiplying & dividing number, square rooting you want to be quick and efficient so to you want to round numbers (approximate) to nearest number that both are _____________ of
Mulitples
√ab = ?
√a * √b
√a/b = ?
√a / √b
q^√a^p = ?
a^p/q
A fraction indicates ___________
Division
a/b x c/d =?
ac/bd
How do you divide fraction?
Turn the second fraction into its reciporcal & then multiply the two
When adding and subtracting fractions what is the best way to do so? (ex. a/b +(-) c/d)
ad+(-)bc/ bd (cross multiply & combine)
A ratio is another way of saying ________
Fraction
The word percent means what?
Out of 100 (so its basically a fraction with the bottom being 100)
What is the equation for calculating percentages?
x= y/100 * z (reads x is percentage of z)
If both sides of an inequality are positive quantities, and you take the reciprocal of both sides then you must do what?
Flip the inequality
The first coordinate of each point (the x coordinate) is called what? (ex. (1,0), the 1 is called what?
The Abscissa
The second coordinate (the y coordinate) of each point is called what?
The ordinate
What is the equation for a line that crosses the y & x axis?
y=mx+b
What is the equation for a vertical line that only crosses the x axis?
x =a (a is the x intercept)
The equation y=kx^2 describes a ____________
Parabola where its turning point (vertx) is at the origin
The equation y=k(x-a)^2 means what?
Shift the parabola horizontally (by whatever value a is)
The equation y=kx^2 + b means what?
Shifting the parabola vertically by whatever value b is
The equation y=k(x-a)^2 +b means what?
First shift the parabola horizontally by whatever value a is then shift it vertically by whatever value b is
The equation y=k/x represents what?
A hyperbola which is an inverse proportion where it approaches but never touches asymptotes
The equation y = Ae^-kx represents what?
AN exponential decay curve
