Midterm Vocabulary Flashcards
Literal equation
equations made up of mostly letters
compound inequality
inequalities joined by the words “OR” or “AND”
Abscissa
x-axis
Ordinate
y-axis
origin
(0,0) point where x and y intersect
point slope
y-y1=m(x-x1)
slope-intercept
y=mx+b
m
slope
b
y-intercept
Standard
+Ax+By=C
Binomial
polynomial made up of exactly two (non-sampleable) terms.
polynomial made up of exactly two (non-sampleable) terms.
Binomial
x-axis
Abscissa
Domain
set of all possible inputs, x-values
Function
each input - only be 1 unique output. x-values don’t repeat
Function Notation
f(x) f of x, equivalent to y
Range
set all possible outputs, y values
Slope
rate of change
Boundary line
(solid or dashed) line that is plotted that separates the graph into half planes
Degree of Polynomial
Highest of the degrees of the terms in polynomial
reciprocal
flip the frac
opposite
signs, ones positive other be neg
communitive property
when you switch the order a+b=b+a
associative property
when grouping is switched, (a+b)+c=a+(b+c)
additive inverse
when adding the opposite, -25 to 25
multiplicative identity
multiply by 0 and number stays the same
additive identity
add zero-identity doesn’t change
Highest of the degrees of the terms in polynomial
Degree of Polynomial
Degree of term
sum of the exponents on the variables of the term
Consistent system
system of equations that has at least 1 solution
dependent system
system of equations made up of the same line
Elimination
one of the methods for solving systems of equations where the (equations are combined in order to get rid of one of the variables leaving you with one equation), in one variable.
Graphing
SEE the solulu
Realtion
set of ordered pairs
Dependent system
made up of sm line
Solution to a system of equations
points where all equations in the system intersect
Substitution
One of the methods for solving systems of equations where( a variable is replaced with its equivalent leaving you with one equation) in one variable.
System of Equations
Multiple equations (with the same variables) that are solved simultaneously. Their intersection is the solution to the system.
Inconsistent system
no sulu
Independent system
system of equations made up of different lines
Solution region
Points that fall within the shaded region are possible solutions. For systems of inequalities, the solution region in the overlap of all the inequalities in the system.
System of Inequalities
Multiple inequalities that are solved simultaneously. Essentially its an AND statement where all conditions must be met in order to create the solution region.
FOIL
Multi two binomials
∩
Intersection. And. Has to be in ALL of the sets.
⋃
Union. Or. Can be in either of the sets, does not have to be in all of the sets.
Scientific notation
product of a number (one digit, not zero) and an integer power of 10.
Linear
function with a constant slope (rate of change), to get from one term to the next you add or subtract the same amount, graphed is a straight line
∅
empty set, no elements
Absolute Value
distance from zero
Trinomial
polynomial made up of three terms
Leading coefficient
Coefficient of the first term of a polynomial written in standard form.
Polynomial
Expression or equation made up of terms added together with variables raised to non-negative integer powers, and no variables in the denominator.
Standard form (Polynomial)
Polynomial written with terms in descending order of degree.
Associative property
(a+b)+c=a+(b+c) for addition; and (ab)c=a(bc) for multiplication
Base
t^4, t is the base
coeffient
2a, 2 is the coeffient
combine
+,-
Commutative property
a+b=b+a for addition and ab=ba for multiplication
Constant
plain number, hanging out all by itself
Factor
to write product
number or letter that when multiplied with something else gives the original
Evaluate
plug in a given value into a given equation to find out what the equation is equal to
Expression
A collection of numbers, variables, operation symbols, and grouping symbols
Identity
1 is the multiplicative identity, 0 is the additive identity
Inequality
statement that compares 2 expressions and can in itself have many solutions
Inequality symbols
<, >, ≤, ≥, ≠
Inverse
The reciprocal is the multiplicative inverse (multiplied together to 1), the opposite sign is the addtive inverse (added together to 0)
Irrational numbers
Repeating decimals: 𝞹 ≅ 3.1415…, numbers that cannot be made by dividing 2 integers. “I” is used to represent the set of all Irrational numbers.
Natural numbers
Counting numbers: 1,2,3,… “N” is used to represent the set of all Natural numbers.
Parabola
smile or frown. graph produced by a quadratic function
Quadratic
function of degree 2, produces a parabola as a graph. can have 0, 1, or 2 solutions (and possibly imaginary ones too).
Radical
√ “check mark” like symbol that indicates you are taking the root of something. If no index, its understood to be a square root.
Rational numbers
fractions made with integers: 2/3 (no decimals in the fractions), repeating decimals: 0.66… , ending decimals: 0.25. “Q” is used to represent the set of all Rational numbers.
Real numbers
positive or negative fractions, decimals, and whole numbers. “R” is used to represent the set of all Real numbers.
Reciprocal
the reciprocal of 3 would be 1/3, the reciprocal of 2/5 would be 5/2. when a term and its reciprocal are multiplied you get 1 (the multiplicative identity)
Root
opposite operation to exponents (if exponent is 2, take the square root; if exponent if 5, take the 5th root), can also refer to a solution of a quadratic
set
group
Substitute
replace with an equivalent
Term
collection of numbers and variables that are kept together by multiplication
Variable
the unknowns, letters, can be used to represent anything
x-intercept
96 of 121 rows displayed
point where a line crosses the x-axis. the y-value is equal to zero.
Parallel
lines with the same slope, will never intersect one another
dilation
strech or compression
ℝ
symbol used to mean “Real numbers”
Additive inverse
Numbers that add up at zero are said to be additive inverses of each other.
Perpendicular
lines that intersect at a 90 degree angle, their slopes are negative reciprocals of each other
Difference of 2 Squares
Binomial made up of 2 perfect squares, where one term is positive and the other is negetive.
Difference of Cubes
Binomial made up of 2 perfect cubes, where one term is positive and the other is negative.
Perfect square trinomial
Trinomial that results from squaring a binomial.
Sum of Cubes
Binomial made up of 2 perfect cubes, where both terms are positive.
translation
slide, can be vertical or horizontal
Vertical line test
test used to determine if a graph is a function or not. If any vertical line drawn crosses more than once, then it is NOT a function.
