Functions
The formula for a direct variation.
What is
y=ax?
The nth term of an arithmetic sequence.
What is
a_n=a_1+d(n-1)?
The equation for exponential growth/decay.
What is
A(t)=a(1+r)^t?
If you divide a polynomial, P(x) by (x-k), the remainder is P(k).
What is the Remainder Theorem?
This tells how many real/imaginary solutions a quadratic has.
What is the discriminant?
The slope formula.
What is
(y_2-y_1)/(x_2-x_1)?
The number that doesn't change what it is added to is called this.
What is the additive identity
(0)
?
How a graph behaves as x approaches
-oo and oo.
What is end behavior?
A sequence/series that has a first and last term.
What is a finite sequence/series?
The exponent on the leading term of a polynomial.
What is the degree?
An equation with infinitely many solutions.
What is an identity?
The number in front of a variable.
What is the coefficient?
When the outcome of one event affects the outcome of another.
What are dependent events?
This can be used to find how many ways all the items in a set can be ordered.
What is a factorial?
The equation for an inverse variation.
What is
y=a/x?
The nth term of a geometric sequence.
What is
a_n=a_1(r)^(n-1)?
The equation for compound interest.
What is
A(t)=P(1+r/n)^(nt)?
The pattern for a difference of two squares and its factored form.
What is
(a^2-b^2)=(a+b)(a-b)?
Standard form of a quadratic function.
What is
f(x)=ax^2+bx+c?
Standard form of a linear function.
What is
Ax+By=C?
If
ab=0
then
a=0
or
b=0
.
What is the zero product property?
To graph the inverse of a function, reflect over this line.
What is
y=x?
The middle term of three terms in an arithmetic sequence.
What is the arithmetic mean,
(x+y)/2
?
The coefficient on the leading term of a polynomial.
What is the leading coefficient?
An equation containing two or more variables.
What is a literal equation?
The parts of an expression that are being added or subtracted.
What are terms?
How likely it is that an event will occur.
What is probability?
This is used to order items in a set where multiple items look exactly the same.
What is a distinguishable permutation?
The standard form of a reciprocal function.
What is
f(x)=a/(x-h)+k?
The nth partial sum of an arithmetic series.
What is
S_n=n/2(a_1+a_n)?
The formula for changing the base of a logarithm.
What is
log_by=(log_#y)/log_#b?
The pattern for a perfect square trinomial and its factored form.
What is
a^2+-2ab+b^2=(a+-b)^2?
Intercept form of a quadratic function.
What is
f(x)=a(x-p)(x-q)?
Slope-intercept form of a linear function.
What is
y=mx+b?
The number that is added to another to make zero.
What is the additive inverse or opposite?
A function whose graph is a straight line.
A linear function.
The middle term of three terms in a geometric sequence.
What is the geometric mean,
sqrt(xy)
?
This form of a polynomial lists the exponents from greatest to least.
What is standard form?
An answer that is derived from an equation that is NOT a solution (it doesn't check).
What is an extraneous solution?
A mathematical phrase that can contain numbers, variables, and operators.
What is an algebraic expression?
Events that cannot happen at the same time.
What are mutually exclusive (disjoint) events?
The formula for a distinguishable permutation.
What is
(N!)/(n_1!n_2!...n_k!)?
The standard form of a rational function.
What is
f(x)=a/(x-h)^2+k?
The nth partial sum of a geometric series.
What is
S_n=(a_1(1-r^n))/(1-r)?
The sum of the first n terms of a series, starting with n=1.
What is the nth partial sum?
The vertical line that passes through the vertex of a quadratic.
What is the axis of symmetry,
x=h
.
Vertex form of a quadratic function.
What is
f(x)=a(x-h)^2+k?
What is
y-y_1=m(x-x_1)?
The number that doesn't change what it is multiplied by is called this.
What is the multiplicative identity
(1)
?
The shape of a quadratic function.
What is a parabola?
A sequence where the ratio of consecutive terms is constant.
What is a geometric sequence?
An expression with one or more terms with varying exponents.
What is a polynomial?
The name for two inequalities connected by AND or OR.
What is a compound inequality?
A term with no variable.
What is a constant?
The outcome of an experiment.
What is an event?
A selection of items in which order doesn't matter.
What is a combination?
A linear function with a slope of a and a y-intercept of 0.
What is a direct variation?
The sum of an infinite convergent geometric series.
What is
S=a_1/(1-r)?
A logarithm with base 10.
What is a common log?
The number of zeroes a degree n polynomial has.
What is n?
The formula for the discriminant.
What is
b^2-4ac?
Lines that never intersect and have the same slope.
What are parallel lines?
The number that is multiplied by to make one.
What is the multiplicative inverse or reciprocal?
The point where a graph crosses the y-axis.
What is the y-intercept?
The sum of terms of a sequence.
What is a series?
The term with the greatest exponent.
What is the leading term?
A set of two more more equations.
What is a system of equations?
A number in the form
a+bi
.
What is a complex number?
The "formula" for find the probability of one event happening, and then a second event happening.
What is
P(A and B)=P(A)*P(B)?
An event that has 0% chance of happening.
What is an impossible event?
A reciprocal function centered at the origin.
What is an indirect/inverse variation?
A series in which each term is greater than the last (
|r|>1
).
What is a divergent series?
A logarithm with base
e.
What is a natural log?
Complex and irrational roots come in conjugate pairs.
What is the Conjugate Root Theorem?
The quadratic formula.
What is
x=(-b+-sqrt(b^2-4ac))/(2a)?
Lines that intersect at a right angle and have slopes that are opposite reciprocals.
What are perpendicular lines?
The outputs of a function are the same if and only if the inputs of a function are the same.
What is the one to one property?
A line that a graph approaches but never intersects.
What is an asymptote?
A series in which each term is smaller than the last(
|r|<1)
.
What is a divergent series?
The exponent on a factor of a polynomial written in intercept form.
What is the multiplicity of that root?
The point where two equations intersect on a graph.
What is the solution to a system?
A number in the form
a-bi
compared to
a+bi
.
What is the complex conjugate?
Events that have no effect on each other.
What are independent events?
An event that has a 100% chance of happening.
What is a certain event?
What is a function?
This Greek letter indicated a sum.
What is Sigma (
Sigma
)?
The inverse of an exponential function in the form
y=b^x.
What is a logarithm (
log_by=x
)?
The pattern for a sum/difference of two cubes and its factored form.
What is
a^3+b^3=(a+b)(a^2-ab+b^2)
and
a^3-b^3=(a-b)(a^2+ab+b^2)?
This general formula gives the height, in feet, of an object after t seconds.
What is
h(t)=-16t^2+v_0t+h_0?
The ratio of vertical change to horizontal change for a linear function.
What is slope?
This must be included when you introduce an even root.
What is
+-
?
The single highest/lowest point on the graph of a quadratic.
What is the vertex?
An ordered list of numbers.
What is a sequence?
A system that contains all parallel lines and has no solution.
What is an inconsistent system?
To get rid of any radicals in the denominator of an expression.
What is to rationalize?
The "formula" for finding the probability that one event or another will occur.
What is
P(A or B)=P(A)+P(B)-P(overlap)?
Probability is always between these values.
What are 0 and 1, or 0% and 100%?
The set of all inputs of a relation.
What is the domain?
A sequence where the difference between terms is constant.
What is an arithmetic sequence?
A function that can be written in the form
ax^2+bx+c
where
a!=0
.
What is a quadratic function?
Numbers that you cannot take the logarithm of.
What are 0 and all negative numbers?
The point(s) where a graph crosses the x-axis; also called solutions, roots, or zeroes.
What are x-intercepts?
A sequence/series that continues with no end.
What is an infinite sequence/series?
A system that contains the same line written in different forms and has infinitely many solutions.
What is a dependent system?
Distance from zero on a number line.
What is the absolute value of a number?
To find the number of possible outcomes for two or more events at the same time, multiply the number of outcomes together.
What is the Fundamental Counting Principle?
The set of all outputs of a relation.
What is the range?
This must be done when you multiply/divide an inequality by a negative number.
What is flip the inequality sign?
An arrangement of items in which order matters.
What is a permutation?