Section 1
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symmetric property of equality
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Mar 1, 2020
Cards (108)
Section 1
(50 cards)
symmetric property of equality
if a=b, then b=a
direct variation
an equation of the form y=kx of k=y/x, where k does not equal 0
coefficient
a number used to multiply a variable
commutative property of addition
a+b=b+a
perpendicular lines
lines that intersect to for a right angle where the product of the slopes is -1
commutative property of multiplication
ab=ba
real numbers
the set of all rational and irrational numbers
function
a relationship between two quantities in which every input corresponds to exactly one output
inverse property of addition
a+(-a)=(-a)+a=0
scientific notation
used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits
irrational numbers
the set of all numbers that cannot be expressed as the ratio of integers
natural numbers
the set of numbers 1, 2, 3, 4...
point-slope form
reflexive property of equality
a=a
slope formula
domain
a set of input values of a relation
mean
average
inequality
an algebraic sentence comparing two quantities
literal equation
a formula or equation which consists primarily of variables
no correlation
no relationship between the dependent (y) values and independent (x) values
order of operations
grouping symbols, exponents, multiplication and division, addition and subtraction
transitive property of equality
if a=b and b=c, then a=c
rational numbers
the set of all numbers that can be written as the ration of two integers with a non-zero denominator
positive correlation
a relationship where the dependent (y) values increase as independent values (x) increase
z-score
the number of standard deviations an element is away from the mean
range
a set of output values of a relation
standard deviation
a measure of the spread of a data set
whole numbers
the set of numbers 0, 1, 2, 3...
substitution property
if a=b, then b can replace a in a given equation or inequality
identity property of multiplication
a(1)=1(a)=a
variable
a symbol that represents a number we don't know
distributive property
a(b+c)=ab+ac
function notation
an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x
median
the middle score in a distribution; half the scores are above it and half are below it
associative property of multipication
(ab)c=a(bc)
absolute value
the distance between a number and zero
variance
a measure of the spread of a data set standard deviation squared
slope
a number that represents the rate of change in y for a unit change in x
negative correlation
a relationship where the dependent (y) values decrease as independent (x) values increase
parallel lines
lines in the same plane that do not intersect and have the same slopes
multiplicative property of zero
a(0) or 0(a)=0
inverse variation
an equation of the form y = k/x or k=xy, where k is not equal to zero
mean absolute deviation
a measure of the spread of a data set
mode
the most frequently occurring score(s) in a distribution
integers
the set of numbers ...-3, -2, -1, 0, 1, 2, 3...
inverse property of multiplication
a(1/a)=(1/a)a=1
associative property of addition
(a+b)+c=a+(b+c)
term
either a single number or variable, or numbers and variables multiplied together where terms are separated by + or − signs.
scatterplot
graphical representation of the relationship between 2 numerical sets of data
slope-intercept form
Section 2
(50 cards)
negative exponent
multiply polynomials
apply the distributive property
division property of inequality
power of quotient property
addition/subtraction property of inequality
power of a product property
transitive property of inequality
product property of radicals
the square root of a product equals the product of the square roots of the factors
dependent variable
y which are output values or range set
linear equation
the graph of the linear equation is a straight line and represents all solutions (x,y) of the equation
zero exponent
degree of a polynomial
the largest exponent or the largest sum of exponents of a term within a polynomial
x-intercepts
the x-intercepts of a graph are located where the graph crosses the x-axis and where f(x)=0
factoring - greatest common factor
find the greatest common factor (GCF) of all terms of the polynomial and then apply the distributive property
trinomial
3 terms
product of powers property
negative slope of a line
divide polynomials
divide each term of the dividend by the monomial divisor
quotient of powers property
quadratic equation
set builder notation
horizontal line
horizontal lines have a slope of 0 for y=c where c can be any real number
system of linear equations
the solution is the only ordered pair that satisfies both equations (point of intersection)
monomial
1 term
adding polynomials
combine like terms
power of a power property
multiply binomials
apply the distributive property
identity property of addition
a+0=0+a=a
linear parent function
squaring a binomial
vertical line
vertical lines have an undefined slope for x=a where a can be any real number
quadratic formula
used to find the solutions to any quadratic equation
binomial
2 terms
graph of an inequality
exponent
positive slope of a line
factors of a monomial
the number(s) and/or variable(s) that are multiplied together to form a monomial
independent variable
x which are input values or domain set
multiplication property of inequality
coordinate plane
prime polynomial
cannot be factored into a product of lesser degree polynomial factors
quotient property of radicals
the square root of a quotient equals the quotient of the square roots of the numerator and denominator
leading coefficient
the coefficient of the first term of a polynomial written in descending order of exponents
zeros
the zeros of a function f(x) are the values of x where the function is equal to zero
relations
representations of relationships
subtracting polynomials
add the inverse
zero product property
if ab=0, then a=0 or b=0
standard form
Ax+By=C
difference of two squares
graphing linear inequalities
Section 3
(8 cards)