Algebra 1 Terms

Ratio

A comparison of two numbers by division

Algebraic Expression

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

Ordered Pair

A pair of numbers that can be used to locate a point on a coordinate plane

Coordinate Plane

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

Inequality

A statement that compares two quantities using <, >, ≤,≥, or ≠

Stem and Leaf Plot

A system used to condense a set of data where the greatest place value of the data forms the stem and the next greatest place value forms the leaves.

Vertical Line Test

A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation

Dilation

A transformation that changes the size of an object, but not the shape.

Integers

All whole numbers (both positive and negative) and zero.

Parallel Lines

Lines in the same plane that do not intersect

Whole Numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Irrational Numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

Theoretical Probability

Probability based on comparing the number of possible favorable outcomes to the number of total possible outcomes

Absolute Value

The distance a number is from zero on a number line

Median

The middle score in a distribution; half the scores are above it and half are below it.

Mode

The number that occurs most often in a set of data.

Coefficient

The numerical factor when a term has a variable

Odds

The ratio of the number of ways the event can occur to the number of ways the event cannot occur.

Pythagorean Theorem

The relationship of the lengths of the sides of a right triangle

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

Dependent Value

The y value, because it depends on the value of x

Perpendicular Lines

Two lines that intersect to form right angles

Scatter Plot

a graph with points plotted to show a possible relationship between two sets of data

Trend Line

a line that approximates the relationship between the data sets of a scatter plot

Exponent

a mathematical notation indicating the number of times a quantity is multiplied by itself

Intersection

a point or set of points common to two or more geometric configurations

Positive Correlation

a relationship between variables in which one variable increases as the other variable also increases

Null Set

a set with no elements shown by the symbol { } or a circle with a line going through it

Variable

a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

Negative Correlation

an association between increases in one variable and decreases in another

Proportion

an equation stating that two ratios are equal

Literal Equation

an equation that contains two or more variables

Slope Intercept Form

an equation written in the form y=mx+b is in slope-intercept form. The graph is a line with slope m and y-intercept b.

Rational Numbers

numbers that can be written as fractions, including terminating and repeating decimals, and integers

Probability

the likelihood that a particular event will occur

Range

the limits of the values a function can take

Midpoint

the point halfway between the endpoints of a segment

Domain

the set of values of the independent variable for which a function is defined

Hypotenuse

the side opposite the right angle in a right triangle

Mean

an average of n numbers computed by adding some function of the numbers and dividing by some function of n

Scale Factor

the ratio used to enlarge or reduce similar figures

x-Intercept

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of the point where the line crosses the y-axis.

Compound Inequality

two or more inequalities that are connected by the words AND or OR

Independent Value

x value, because y depends on the x value

Point Slope Form

y-y1 = m(x-x1), where m is the slope and (x1,y1) is the point the line is passing through.

Consecutive Integers

integers that increase or decrease incrementally by 1

Greatest Possible Error

one half of the measuring unit, for any measurement

Reciprocal

one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2

Additive Inverse

one of a pair of numbers whose sum is zero