# Algebra vocabulary

## 39 terms · vocabulary for math

### linear function

a function in which the graph of the solutions forms a line

### scatterplot

a graphed cluster of dots, each of which represents the values of two variables. The slope of the points suggests the direction of the relationship between the two variables. The amount of scatter suggests the strength of the correlation (little scatter indicates high correlation). (Also called a scattergram or scatter diagram.) (Myers Psychology 8e p. 031)

### correlation

a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other

### positive linear correlation

What is the nature of the relationship between the two variables depicted here

(Chart going up)

### negative linear correlation

The closer r is to -1, the more negative the correlation.

### no linear correlation

When r = 0, there is NO correlation. On a scatter diagram, this could look like a scattering of plots in no order or a u-shape.

### trend line

a line on a graph indicating a statistical trend

### system of equations

a set of equations with the same variables

### substitution

a method used for solving a system of equations that replaces one variable in one equation with an expression from another equation

### elimination

the act of removing an unknown mathematical quantity by combining equations

### solution

number or set of numbers or ordered pairs that make an equation true.

### intersection

a point where lines intersect

### ordered pair

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

### domain

the set of possible independent values for a situation or function

### range

the set of possible independent values for a situation or function

### coefficient

number mulitplied by a variable

### constant

a number without a variable

### variable

a letter that represents a known or unknown number in an expression.

### function

a relation in which each element in the domain has only one range value ; x values CANNOT repeat.

### relation

A set of ordered pairs

### slope

constant rate of change; change in y over change in x; RISE over RUN

### y-intercept

point at which a graph crosses the y-axis; ordered pair in which x is zero.

### x-intercept

point at which a graph crosses the x-axis; ordered pair in which y is zero.

(opposite of a number or term) - The sume of a number and its ADDITIVE INVERSE is zero (0).

### continuous

situation (function) in domain and range values can be measured using fractional or decimal values; graph will be made up of points connected by a solid line.

### decreasing

as x increases, y decreases; graph/points go down from left to right.

### discrete

situation (function) in which either domain values, range values, or both, cannot be measured using fractional or decimal values, based on the situation described; graph is made up of individual points.

### distributive property

used to remove parentheses from expressions. Multiply the number outside parentheses by each term inside parentheses.

### equation

two expressions joined by an equal sign (may or may not be true)

### evaluate

find the value of an expression by substituting given numbers in place of variables

### expression

made up of numerical terms (Numbers only; a constant, like 5) or algebraic terms (made up of numbers and variables, like 3x) joined by + or - signs.

### increasing

as x increases, y increase; graph/points go up from left to right

### like terms

terms that have the same variables. like terms can be combined by adding their coefficients.

### multiplicative inverse

(reciprocal of a number)- the product of a number and its MULTIPLICATIVE INVERSE is one (1).

### simplify

write an expression in its simplest form or reduce a fraction to lowest terms.

y=mx + b

### solve

find the value or values for a variable that make an equation true

ax+By=C

### term

a variable, number or product of number and variables that is being added in an expression.