50 terms

algebra

A branch of mathematics dealing with symbols.

coordinate system

A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis that meet at a right angle.

properties

Statements that are true for any number.

algebraic expression

An expression that contains sums and/or products of variables and numbers.

quadrant

The four regions into which the x-axis and the y-axis separate the coordinate plane.

absolute value

The distance a number is from zero on the number line.

integers

The whole numbers and their opposites.

coordinate

A number that corresponds with a point on a number line.

reciprocal

The multiplicative inverse of a number.

rational number

The set of numbers that can be written as a fraction in the form a/b, where a and b are integers and b cannot equal 0.

bar notation

In repeating decimals, the line or bar placed over the digits that repeat.

multiplicative inverse

Two numbers whose product is 1.

radical sign

The symbol used to indicate a non-negative square root.

scientific notation

A method of writing or displaying numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10. 5,000,000=5.0 x 10^6

irrational number

A number that can not be expressed as a quotient of two integers. The divisor cannot be zero.

monomial

An expression that is a number, variable, or a product of numbers and/or variables.

corresponding parts

Parts of congruent or similar figures that match.

ratio

A comparison of two numbers by division.

rate

A ratio of two measurements having different units.

scale drawing

A drawing that is used to represent an object that is too large or too small to be drawn in actual scale.

dimensional analysis

The process of including units of measurement when computing.

percent error

A measure of the difference between an estimate, prediction, or measurement and the actual value.

markup

The amount the price of an item is increased above the price the store paid for an item.

discount

The amount by which the regular price of an item is reduced.

percent of change

The ratio of the increase or decrease of an amount to the original amount.

simple interest

The amount of money paid or earned for the use of money. I=prt (Interest = principal x rate x time)

constant

A term without a variable.

factored form

A monomial expressed as a product of prime numbers and variables where no variable has an exponent greater than one.

greatest common factor

The largest factor two or more numbers have in common.

term

Each part of an algebraic expression.

like terms

Expressions that contain the same variables to the same power, such as 2n and 5n or 6xy and -4xy.

linear expression

An algebraic expression in which the variable is raised to the first power.

dependent variable

The variable in a relation with a value that depends on the value of the independent variable. (y)

distributive property

To multiply a sum by a number, multiply each addend by the number outside the parentheses. a(b+c)=ab+ac

inverse operations

Operations that undo each other, such as addition and subtraction.

identity

An equation that is true for any value of the variable.

solution

A value for the variable that makes an equation true.

independent variable

The variable in a function that is subject to change. (x)

system of equations

A set of two or more equations with the same variables.

slope

The ratio of the rise, vertical change, to the run, or horizontal change.

function

A function is a special relation in which each element of the domain is paired with exactly one element in the range.

vertical line test

If any vertical line drawn on the graph of a relation passes through no more than one point on the graph for each value of x in the domain, then the relation is a function.

slope-intercept form

A linear equation in the form y=mx+b, where m is the slope and b is the y-intercept.

y-intercept

The y-coordinate of a point where a graph crosses the y-axis.

function notation

A way to name a function that is defined by an equation. In function notation the equation y=3x-8 is written as f(x)=3x-8.

population

A larger group used in statistical analysis.

measures of center

For a list of numerical data, numbers that can represent the center of the data.

biased sample

A sample that is not representative of a population.

interquartile range

The range of the middle half of a set of data. The different between the third quartile and the first quartile.

outlier

Data that are more than 1.5 times the interquartile range beyond the quartiles.