Shared Flashcard Set

Details

Algebra 1 Final
Algebra 1 Final
92
Mathematics
9th Grade
05/30/2009
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
variable
 Definition
A letter that is used to represent one or more numbers.
Term
power
 Definition
The result of repeated multiplication i.e., 4^6.
Term
exponent
 Definition
The number or variable that represents the number of times the base is used as a factor.
Term
base of a power
 Definition
The number or variable that is used as a factor in repeated multiplication.
Term
order of operations
 Definition
The rules established to evaluate an expression involving more than one operation.
Term
equation
 Definition
Formed when an = sign is placed between two expressions creating a left and right side of the equation.
Term
variable expression
 Definition
A collection of numbers, variables and operations
Term
mathematical operation
 Definition
An action or procedure that creates a new value from one or more input values i.e., -, +, X, /
Term
inequality
 Definition
A sentence formed when an inequality symbol (>, <) is placed between two expressions.
Term
function
 Definition
A rule that establishes a relationship between two quantities called the input and the output.
Term
input-output table
 Definition
A table that lists the inputs and outputs of a function.
Term
domain
 Definition
The collection of all input values.
Term
range
 Definition
The collection of all output values.
Term
real numbers
 Definition
The set of numbers consisting of the positive numbers, negative numbers and zero.
Term
integers
 Definition
The set of whole numbers and their opposites. (A number that is not a fraction.)
Term
whole number
 Definition
Positive counting numbers (0,1,2,3) including 0 with no fractions or decimals.
Term
absolute value
 Definition
The distance between the origin and the point representing a real number. (always positive)
Term
opposite
 Definition
Two points that are opposite are the same distance from the origin i.e., 1 and -1 are opposites.
Term
counterexample
 Definition
An example used to show that a given statement is false.
Term
matrix
 Definition
A rectangular arrangement of numbers into horizontal rows and vertical columns.
Term
distributive property
 Definition
a(b+c) = ab + ac
Term
reciprocal
 Definition
Multiplicative inverse such that 1/x times x gives the product 1.
Term
origin
 Definition
The point label 0 in a line graph or (0,0) in a coordinate grid.
Term
coefficient
 Definition
The number in front of a variable.
Term
like-terms
 Definition
Terms in an expression that have the same variable raised to the same power.
Term
constant term
 Definition
Term with no variable factors. (It never changes thus it is constant).
Term
simplified expression
 Definition
An expression with no grouping symbols.
Term
probability of an event
 Definition
The measure of the likelyhood that an event will occur. i.e., the number of favorable outcomes/the total possible outcomes.
Term
odds of an event
 Definition
Number of favorable outcomes/number of unfavorable outcomes.
Term
equivalent equations
 Definition
Equations with the same solutions as the original equation.
Term
inverse operations
 Definition
operations that undo each other i.e., subtraction "undoes" addition, multiplication "undoes" division.
Term
identity
 Definition
An equation that is true for all values of the variable.
Term
round off error
 Definition
Error that occurs when a decimal result is rounded in order to provide a meaningful answer.
Term
formula
 Definition
An algebraic equation that relates two or more real life quantities such as the formula to convert Fahrenheit to Celcius.
Term
rate of change
 Definition
The comparison of two different quantities that are changing expressed as slope of a line.
Term
coordinate plane
 Definition
Formed by two real number lines that intersect at a right angle.
Term
real number line
 Definition
A line that pictures real numbers as points.
Term
ordered pair
 Definition
Pair of points used to identify a point in a plane.
Term
x-coordinate
 Definition
The first number in an ordered pair.
Term
y-coordinate
 Definition
The second number in an ordered pair.
Term
x-axis
 Definition
The horizontal axis in a coordinate plane.
Term
y-axis
 Definition
The vertical axis in a coordinate plane.
Term
y-intercept
 Definition
The y-coordinate of a point where a graph crosses the y-axis.
Term
scatter plot
 Definition
A graph of pairs of numbers that represent a real-life situation.
Term
solution of an equation
 Definition
An ordered pair (x,y) that make an equation true.
Term
graph of an equation
 Definition
Set of ALL points that are solutions of the equation.
Term
x-intercept
 Definition
The x-coordinate of a point where a graph crosses the x-axis.
Term
slope
 Definition
Measures the steepness of a line i.e, the rise/run.
Term
direct variation
 Definition
The relationship of two variables x and y if there is a non-zero number k such that y = kx.
Term
constant of variation
 Definition
Variable k such that y = kx.
Term
slope-intercept form
 Definition
A linear equation written in the form y=mx + b where m is the slope and b is the y-intercept of a line.
Term
relation
 Definition
Any set of ordered pairs. For each input there can be more than one output.
Term
function notation
 Definition
A way to name a function that is defined by an equation i.e., f(x) replaces y and read as "f of x".
Term
best-fitting line
 Definition
A line that best fits the points of a scatter plot.
Term
positive correlation
 Definition
The points on a scatter plot can be approximated by a line with a positive slope.
Term
negative correlation
 Definition
The points on a scatter plot can be approximated by a line with a negative slope.
Term
no correlation
 Definition
The points on a scatter plot can not be approximated by a line.
Term
point-slope form
 Definition
The linear equation written in the form: y-y1 = m(x-x1)
Term
standard form
 Definition
A linear equation written in the form Ax + By = C.
Term
linear interpolation
 Definition
A method of estimating the coordinates of a point that lie between given data points.
Term
linear extrapolation
 Definition
A method of estimating the coordinates of a point that lie to the right or left of the given data points.
Term
compound inequality
 Definition
Two inequalities connected by AND or OR.
Term
linear inequality
 Definition
An inequality that relates x and y. The solution is a half plane (shaded).
Term
stem and leaf plot
 Definition
Arrangement of digits used to display and order data.
Term
mean
 Definition
The sum of n numbers divided by n.
Term
measure of central tendency
 Definition
A number that is used to represent a typical number in a set.
Term
median
 Definition
The middle number in a set of data.
Term
mode
 Definition
The number that occurs most frequently in a set of data.
Term
box-and-whisker plot
 Definition
A data display that divides a set of data into four parts.
Term
linear system
 Definition
Two or more linear equations with the same variables. The solution is the coordinate pair (x,y) that makes ALL equations in the system true.
Term
substitution method of solving linear systems
 Definition
A method to solve linear systems by solving one of the equations for one of the variables and "substituting" into another equation.
Term
linear combination
 Definition
Solving a system of equations by adding the equations together such that a variable can be isolated and solved for.
Term
parallel lines
 Definition
Lines that do not intersect. Parallel lines have the same slope.
Term
perpendicular lines
 Definition
Lines that intersect at right angles. The slopes are opposite and reciprocal.
Term
product of powers property
 Definition
a^m + a^n = a^(m+n)
Term
power of a power property
 Definition
(a^m)^n = a^(m*n)
Term
power of a product property
 Definition
(a*b)^m = a^m + b^m
Term
exponential function
 Definition
A function in the form y = ab^x
Term
quotient of powers property
 Definition
a^m/a^n = a^(m-n)
Term
power of a quotient
 Definition
(a/b)^m = a^m/b^m (b cannot equal 0)
Term
scientific notation
 Definition
A number expressed in the form C * 10^n where C is a number between 1 and 9 inclusive.
Term
square root
 Definition
If b^2 = a then b is the square root of a. All positive real numbers have two square roots - one positive and one negative.
Term
perfect square
 Definition
Numbers whose square roots are integers.
Term
irrational number
 Definition
A number that cannot be written as the quotient of two integers. (A number that never ends such as pi)
Term
quadratic equation
 Definition
An equation that can be written in the form a^2x + bx + c where a is not zero.
Term
radical
 Definition
The symbol used to express the root of a quanity.
Term
radicand
 Definition
The number or expression inside a radical symbol.
Term
parabola
 Definition
A U-shaped graph of a quadratic function.
Term
vertex
 Definition
The extreme point (lowest or highest) of a parabola.
Term
axis of symmetry
 Definition
The line passing through the vertex of a parabola that divides it into two symmetric parts.
Term
commutative property
 Definition
The order in which two numbers are added or multiplied does not change the outcome i.e., a + b = b + a and ab = ba
Term
associative property
 Definition
The way that numbers are grouped when adding or multiplying does not change the outcome i.e., (a + b) + c = a + (b + c) and a(bc) = (ab)c
Supporting users have an ad free experience!