Section 1
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Properties of Inequalities
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Cards (58)
Section 1
(50 cards)
Properties of Inequalities
Rules that allow you to balance, manipulate, and solve inequalities
inequality
A mathematical sentence that contains less than, greater than, less than or equal to, greater than or equal to, or not equal
Binomial
A polynomial with two terms
Monomial
an expression with only one term
isolate
Using inverse operations to undo addition, subtraction, multiplication, and division to get the variable alone.
minimum and maximum value
The highest or lowest output of a quadratic function (the y-coordinate of the vertex)
algebraic expression
A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
equation
a mathematical statement that two expressions are equal
Distributive Property over multiplication and division
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.
Variable
A symbol used to represent a quantity that can change
set
A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right.
Trinomial
A polynomial with three terms
X-value, domain, input, independent variable
Unless otherwise stated, the domain, or set of "input" values is represented by the variable "x", while the set of "output" values is represented by the variable "y". The domain variable (x) is referred to as the independent variable.
Base
The number of different digits of uses to represent numbers.
Y-value, range, output, dependent variable
y. Range- The set of ALL y-values. Output- the y-coordinate (x-value) of the point. Dependent variable has its value determined by the.
constant
A value that does not change
Coefficient
A number multiplied by a variable in an algebraic expression.
evaluate
form an idea of the amount, number, or value of; assess.
solution set
a solution set is the set of values that satisfy a given set of equations or inequalities.
term
Each number in a sequence
perimeter
the sum of the lengths of the sides of a polygon
Multiplication Property of Equality
If you multiply each side of an equation by the same nonzero number, the two sides remain equal.
coordinate pair
A pair of numbers used to locate a point on a graph (x,y)
Commutative Property
The property that says that two or more numbers can be added or multiplied in any order without changing the result.
union (or)
all outcomes of A or B or both
truth value
whether a statement is true or false
square root
a number that when multiplied by itself equals a given number
compund inequalities
A compound inequality is an equation with two or more inequalities joined together with either "and" or "or".
PEMDAS
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
equivalent
having the same value
Additive Property of Equality
If a = b, then a + c = b + c
set-builder notation
set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.
interval notation
A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval.
numeric expression
an expression that contains only numbers and operation symbols (with no equal sign)
Polynomial
a mathematical expression that is the sum of a number of terms
multiplicative property of equality
If a = b, then ac = bc
Identity Property
the sum of any number and 0 is that number the product of 1 and any number is that number
simplify
To write a fraction or expression in simplest form
Solution
A solution is an assignment of expressions to the unknown variables that makes the equality in the equation true.
Coordinate plane/ cartesian plane
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
inverse operations
operations that undo each other
combining like terms
Combining two or more like terms simplifies an expression by summing constants and summing those variable terms in which the same variables are raised to the same power.
Power
The power of a number says how many times to use the number in a multiplication.
Function and function notation
Function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation.
intersection (and)
An intersection is a single point where two lines meet or cross each other.
order of operations
PEMDAS
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself.
area
The number of square units required to cover a surface.
Associative Property
The way in which numbers are grouped does not change their sum or product
Zero Property of Multiplication
the product of any number and 0 is 0
Section 2
(8 cards)