Section 1
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coordinate plane
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Cards (105)
Section 1
(50 cards)
coordinate plane
Formed by two number lines that cross each other at zero.
combine like terms
Adding or subtracting terms that have the same variable(s) and exponent(s).
isolate the variable
Collecting like terms and using inverse operations to get a variable by itself on one side of a relation.
difference
The answer to a subtraction problem.
exponent
The number of times a base is multiplied by itself. Also called a power.
binomial
A two-term polynomial.
constant
A term with no variables.
direct variation
An equation in the form y=kx, where k does not equal zero.
inconsistent system
A system of equations that has no solution.
multiplicative identity property
Multiplying a number by one equals that number.
discriminant
The expression inside the radical of the quadratic formula.
opposites
Numbers that have the same absolute value.
irrational number
Numbers that cannot be expressed as fractions or terminating/repeating decimals.
axis of symmetry
The line that divides a graph into two symmetrical parts.
absolute value
The distance between a real number and zero on a number line.
grouping symbols
Symbols such as parentheses and brackets, which separate terms within an expressions. Others include fraction bars, absolute value, square root, braces, etc.
algebraic expression
A collection of numbers and variables with at least one arithmetic operation.
order of operations
The rules for evaluating an expression.
inequality
A sentence using greater than or less than symbols. Also, greater than or equal to, or less than or equal to.
factor
An integer that divides another integer with no remainder.
greatest common factor
The largest number that divides into two terms.
function notation
When the output (y) of a relation is renamed f(x). Read "f of x".
graphing
The act of plotting points on a plane to represent a function or relation.
independent system
A system of equations that has exactly one solution.
commutative property
Changing the order of addition or multiplication does not change the value. Ex: a+b+c = c+a+b
dependent system
A system of equations that has infinite solutions.
distributive property
Used to clear parentheses by multiplying a term on the outside by two or more terms inside the parentheses. Ex: a(b - c) = ab - ac
function
A relation in which every input (x) has exactly one output (y).
monomial
An expression with a one term.
zero product property
Any number multiplied by zero equals zero.
coordinates
Ordered pairs that identify points on a plane.
evaluate
To find the value of an expression by following the order of operations.
difference of two squares
A binomial whose terms are perfect squares being subtracted.
base
The repeated factor of a number written in exponential form.
linear equation
An equation whose variables have an exponent of one and whose graph creates a straight line.
coefficient
The numerical value of a term.
additive inverse
The opposite of a number. When added together, the sum is zero.
equation
A mathematical sentence with an equal sign.
consistent system
A system of equations with at least one solution.
denominator
The lower half of a fraction.
multiplicative inverse
Two numbers multiplied together that equal one.
associative property
The grouping of terms within expressions involving addition or multiplication does not change the value. Ex: (a+b) + c = a + (b+c)
compound inequality
Two inequalities combined in one statement by the word and or or.
no solution
When there is no answer to an equation or inequality.
natural number
The set of counting numbers starting with one.
extraneous solution
A result that does not satisfy the original equation or inequality.
like terms
Terms with the same variables raised to the same exponents.
integer
All whole numbers and their opposites.
numerator
The upper half of a fraction.
deductive reasoning
The process of using logic to draw conclusions.
Section 2
(50 cards)
origin
The intersection of the axes in a coordinate plane.
standard form of an equation
An equation in this form, where A, B and C are integers and A is positive.
sum
The answer to an addition problem.
whole number
All natural (counting) numbers and zero.
slope
A measure of steepness of a line. Often represented by the letter. Calculated by finding the ratio of the change in y-coordinates (rise) to the change in x-coordinates (run).
standard form of polynomials
When terms are placed in descending order according to their degree.
x-axis
The horizontal number line of a coordinate plane.
perpendicular
Lines or planes that intersect at right angles.
variable
Symbols, usually letters, used to represent unspecified values.
rate
The ratio that compares two quantities in different units.
perfect square
A number with a square root that is rational.
ratio
The relationship of two quantities, often shown using division.
replacement set
A set of solutions that can replace a variable.
reciprocal
The multiplicative inverse of a number. Created by switching the numerator and the denominator.
parabola
A U-shaped graph created by a quadratic function. Can also be upside down.
degree
The sum of the exponents in a monomial.
product
The answer to a multiplication problem.
repeating decimal
A rational number that has a block of one or more numbers after the decimal that continually show up.
range
The set of y-values in a relation.
run
The difference between two x-values on a linear graph.
independent variable
The x-value, or input, of a relation, which determines the output.
rational expression
A fraction that has polynomials in the numerator and denominator.
quadrant
One of four regions of a coordinate plane.
rational number
Any number that can be written as a fraction.
counterexample
A specific case that makes a statement false.
rise
The difference between two y-values on a linear graph.
y-axis
The vertical number line of a coordinate plane.
undefined
No solution.
real number
All rational and irrational numbers.
polynomial
An expression with one or more monomials being added or subtracted.
quotient
The answer to a division problem.
simplify
To reduce an expression to as few terms as possible.
domain
The set of x-values in a relation.
term
A number and/or variable(s), or a combination of both being multiplied or divided.
trinomial
An expression with three terms.
x-intercept
The point where a graph touches the x-axis. Also referred to as roots or zeros.
ordered pair
A pair of numbers used to identify a point (x, y) on a coordinate plane.
point-slope form
An equation of a line in this form:
solve
The process of finding all values of a variable that make an equation or inequality true.
slope-intercept form
An equation of a line in this form, with m as the slope and b as the y-intercept.
dependent variable
The y-value, or output, of a relation, whose value depends on the input.
quadratic expression
An expression in this form with a, b and c being numbers.
parallel
Lines or planes that never intersect.
y-intercept
The point where a graph touches the y-axis. Sometimes represented by the letter b.
simplest form
An expression that contains no like terms or parentheses.
quadratic formula
A method of finding roots of a quadratic function by replacing a, b and c with numbers.
line of best fit
A line drawn through a scatter plot to best represent the data.
system of equations
A set of two or more equations with two or more variables.
property
A law that governs mathematics.
terminating decimal
A rational number that does not repeat or continue indefinitely after the decimal.
Section 3
(5 cards)