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Thorby
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Absolute value
The distance that a number is from zero on a number line

Additive inverse
The opposite of a number. Additive inverses sum to zero

Algebraic expression
The mathematical phrase that can include numbers, variables, and operation symbols

Base
A number that is multiplied repeatedly

Coefficient
Numerical factor when a term has a variable

Constant
A term that has no variable factor

Coordinate plane
A plane formed by two number lines that intersect at right angles

Coordinates
The numbers that make a ordered pair and identify the location of a point

Counterexample
Any example that proves a statement false

Deductive reasoning
A process of reasoning, logically from given facts to a conclusion

Element
An item in a matrix

Equation
Mathematical sentence that uses an equal sign

Evaluate
Substitute a given number for each variable and then simplify

Exponent
A number that shows repeated multiplication

Inequality
A mathematical sentence that compares the values of two expressions using an inequality symbol

Integers
Whole numbers and their opposites

Irrational numbers
A number that cannot be written as a ratio of two integers. Irrational numbers in decimal form is nonterminating and nonrepeating

Like terms
Terms with exactly the same variable factors in a variable expression

Matrix
A rectangular arrangement of numbers. The number of rows and columns in the matrix determines its size

Multiplicative inverse/reciprocal
Given a nonzero rational number, a/b, the multiplicative inverse, or reciprocal, is b/a. The product of a nonzero number and its multiplicative inverse is always one

Natural numbers
The counting numbers (1, 0, 1, 2, 3...)

Open sentence
An equation that contains one or more variables

Ordered pair
Two numbers that identify the location of a point

Origin
The point at which the axis of the coordinate plane intercept

Quadrants
The four parts into which the coordinate plane is divided by its axis

Rational numbers
A real number that can be written as a ration of two integers. Rational numbers in decimal form are terminating or repeating

Real numbers
A number that is either rational or irrational

Scatter plot
A graph that relates data of two different sets. The two sets of data are displayed as ordered pairs

Simplify
Replace an expression with its simplest name of form

Term
A number, variable, or the product or quotient of a number and one or more variables

Trend line
A line on a scatter plot drawn near the points. It shows a correlation

Variable
A symbol, usually a letter, that represents one or more numbers

Whole numbers
Nonnegative integers (0, 1, 2, 3...)

xaxis and yaxis
horizontal (x) and vertical (y) axis of the coordinate plane

xcoordinate and ycoordinate
location of an xaxis and yaxis of a point on the coordinate plane.

Consecutive integers
Integers that differ by one (2, 1, 0, 1, 2…)

Equivalent equations
Equations that have the same solutions

Identity
Equation that is true for every value

Inverse operations
Operations that undo one another

Literal equation
An equation involving two or more variables

Measures of central tendency
Mean, median, and mode. They are used to organize/summarize a set of data

Outlier
A data value that is much higher or lower than the other data values in the set

Solution of an equation
Any value(s) that make an equation true

Stemandleaf plot
A display of data made by using the digits of the values

Uniform motion
The motion of an object moving at a constant rate

Range = x or y?
Domain = x or y?

Compound inequalities
Two inequalities that are joined by and/or

Equivalent inequalities
Equivalent inequalities have the same set of solutions

Solution of an inequality
One variable – any value of values of a variable in the inequality that makes an inequality true

Arithmetic sequence
A number sequence formed by adding a fixed number to each previous term

Common difference
The fixed number added to each term of an arithmetic sequence

Conjecture
Conclusion reached by inductive reasoning

Constant of variation
Direct variation – nonzero constant k in the function y = kx

Dependent variable
A variable that provides the output values of a function (y on the graph)

Direct variation
A linear function that can be expressed in the form y = kx, where k is not 0

Function
A relation that assigns exactly one value in the range to each value of the domain

Function notation
To write a rule in function notation, you use the symbol f(x) in place of y

Function rule
An equation that describes a function

Independent variable
A variable that provides the imput values of a function (x in the graph)

Inductive reasoning
Making conclusions based on observed patterns

Relation
Any set of ordered pairs

Sequence
A number pattern

Term
A number, variable, or the product or quotient of a number and one of more variables Ex: 5x + (y/2) – 8 has three terms – 5x, y/2, 8

Verticalline test
A method used to determine if a relation is a function or not. If the line passes through a graph more than once, the graph is NOT a function

Correlation Coefficient
A number that tells how closely the equation of best fit models the data. The value r of the correlation coefficient is in the range 1 < r < 1

Absolute value equation
Equation whose graph forms a V that opens up or down

Line of best fit
The most accurate trend line on a scatter plot showing the relationship between two sets of data

Linear equation
An equation whose graph forms a straight line

Negative reciprocal
A number of the form –b/a, where a/b is a nonzero rational number. The product of a number and its negative reciprocal is 1

Parallel lines
Two lines in the same plane that never intersect. Parallel lines have the same slope.

Perpendicular lines
Lines that intersect to form right angles. 2 lines are perpendicular if the product of their slopes is 1

Pointslope form
yy₁ = m(x – x₁)

Rate of change
 Change in the dependent variable
 Change in the independent variable

Slope
 Ratio of the vertical change to horizontal change
 Vertical change = y₂ – y₁
 Horizontal change = x₂ – x₁
 Where x₂ – x₁ is not zero

Slopeintercept form
A linear equation of a nonvertical line written as y = mx + b, where m = slope & b = yintercept

Standard form of a linear equation
The form of a linear equation Ax + By = C, where A, B, and C are real numbers and A and B are not zero

Translation
A transformation that shifts a graph horizontally, vertically, or both

xintercept/yintercept
 xcoordinate of the point where a line crosses the xaxis
 ycoordinate of the point where a line crosses the yaxis

Inputs  x or y?
Outputs  x or y?

How to solve 3r^{2?}
3 * r^{2}

