algebra 1 vocabulary
veritcal angles
A pair of opposite angles formed when two lines meet at a point
coordinate plane
A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis
rate
A ratio that compares two quantities measured in different units
factors
Numbers that are multiplied together to get a product
experimental probability
Probability based on data from repeating an event (doing an experiment)
theoretical probablility
The calculated chance that something will happen based on the number of ways possible
range
The difference between the highest and lowest scores in a set of data
absolute value
The distance that a number is from zero on the number line
independent variable
The experimental factor that is manipulated; the variable whose effect is being studied.
median
The middle number in a set of numbers that are listed in order
mode
The number that occurs most often in a set of data
coefficient
The numerical factor when a term has a variable
whole number
The set of numbers 0, 1, 2, 3, 4,....
natural numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbers.
constant
a quantity that does not vary
unit rate
a rate that has a denominator of 1
function
a relation where each number in the domain is paired with exactly one number in the range.
translation
a shift of a graph horizontally, vertically, or both
solution
a statement that solves a problem or explains how to solve the problem
variable
a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity
isoceles triangle
a triangle that has at least 2 congruent sides
scalene triangle
a triangle with no two sides of equal length
equilateral triangle
a triangle with three congruent sides
absolute value equation
a v-shaped graph that points upward or downward
composite numbers
a whole number greater than 1 that has more than two factors
term
each number in a sequence
similar figures
figures that have the same shape but not necessarily the same size
linear equation
graph is a line/degree 1 equation
consecutive integers
integers that increase or decrease incrementally by 1
constant of variation
k is the coefficient of x. The variables y and x are said to vary directly with each other
parallel lines
lines in the same plane that never intersect
inductive reasoning
making conclusions based on patterns you observe
sequence
number pattern
irrational numbers
numbers that cannot be expressed in the form a/b, where a and b are integers and b =0.
inverse operations
operations that undo each other
evaluate
substituting a given number for each variable
correlation coeficiant
tells you how closely the equation models the data
like terms
terms with exactly the same variable factors in a variable expression
conjecture
the conclusion you reach by inductive reasoning
common difference
the fixed number added to each previous term
quadrents
the four regions into which the x-axis and the y-axis that seperate the coordinate plane.
base
the number or expression that is used as a factor in a repeated multiplication
dependent variable
the outcome factor; the variable that may change in response to manipulations of the independent variable
rate of change
the relationship between two quantities that are changing, this is also slope
domain
the set of first coordinates of the ordered pairs of a relation.
real numbers
the set of numbers that includes rational and irrational numbers.
slope
the steepness of a line
function notation
to write a rule in function notation, you use the symbol f(x) in place of y
simplify
to write an expression in a simpler form
line of best fit
trend line that shows the realationship between two sets of data
opposites
two numbers that are the same distance from zero on a number line, but are in opposite directions. (-2 and 2)
reciprocals
two numbers whose product is 1
constant of variation
what the k is in the equation y = kx
y intercept
where the line crosses the y axis
x intercept
x coordinate of a point where a graph crosses the x axis/ y coordinate of this point is zero
range
y values
point slope form
y-y₁=m(x-x₁)
slope intercept form
y=mx+b
expression
a mathematical phrase that contains operations, numbers, and/or variables
equation
a mathematical sentence with an equal sign
prime
a number that has no factor but itself and 1
solution of an inequality
a number that produces a true statement when it is substituted for the variable in the inequality
conjecture
A conclusion based on guesswork or insufficient evidence
relation
A set of ordered pairs
inequality
A statement that compares two quantities using <, >, ≤,≥, or ≠
identity
An equation that is true for every value of the variable
term
a number, a variable, or the product of a number and a variable
perpendicular lines
Two lines that intersect to form right angles
compound inequality
Two or more inequalities joined together by "and" or "or"
integers
Whole numbers and their opposites
absolute value equation
a V-shaped graph that points upward or downward
ratio
a comparison of two numbers by division
direct variation
a function in the form y=kx where k=0
standerd form of a linear equation
a linear equation of the form ax+by=c, where a,b,and c are real number constants and a and b do not equal 0.
exponent
a mathematical notation indicating the number of times a quantity is multiplied by itself
arithmetic sequence
adding a fixed number to each previous term
subtraction
adding the opposite
mean
an average of n numbers computed by adding some function of the numbers and dividing by some function of n
direct variation
an equation of the form y=kx, where k does not equal 0
proportion
an equation that states that two ratios are equal
linear equation
an equation whose graph is a line.
counterexample
an example that shows a conjecture is false