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Algebra Vocab (chapters 1-4)

Terms

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Equation
Any sentence using =.
Open sentence
A sentence with a variable is called and open sentence.
Real numbers
The set of all the numbers that can be represented as terminating or non-terminating decimals.
Cells
Locations or boxes formed by the intersection of rows and columns.
Theorems
Important properties that have been proved to be true.
Solution set
An open sentence is the set of numbers from the domain that actually are solutions.
Endpoints
A and b are the end points of the interval.
Coefficients
A number multiplied by a variable or variables, in the term -6x, -6 id the coefficient of x.
Domain
All the values that may be meaningfully substituted fir a variable make up the domain.
Variable
A letter or other symbol that can be replaced by any number from another set.
Two dimensional slide or translation
One basic movement of a figure to another position.
Origin
Were axes intersect on a coordinate graph.
Coordinates
Every point in the plane of the graph can be identified with a pair of numbers.
Model
A general pattern that includes many of the uses of the operation.
Algebraic expression
An expression that includes one or more variables.
Reciprocal rates
Describe the same situations from different points of view.
Multiplicative Identity
Multiplying a number by the number 1 keeps it's identity of that number.
Rectangular solid
A 3-D figure with 6 rectangular faces.
Preimage
The figures original position.
Reciprocal
(of a)The number that gives a product of 1 when multiplied by a.
Integers
Whole numbers and their opposites.
Empty set (null set)
A set that has no elements in it. {}
Like terms
Variables in the terms that are the same.
Scatter plot
A graph were individual points are plotted.
Pattern
A general idea for which there are many examples.
Unions
The set of elements in either A or B (or both).
Supplementary angles
Two angles whose sum is 180°.
Linear Equations
An equation in which the variable or variables are all to the first power and none multiply each other.
y-axis
The vertical axis.
Plane
A flat surface that stretches forever in all directions.
Closed intervals
The end points are included.
Intersection
The set of elements that are in both A and B.
Solution
An open sentence is a replace for the variable that makes the statement true.
Complementary angles
Two angles whose sum is 90°.
Algebraic fractions
A fraction that has a variable in the denominator or the numerator.
Quadrants
The axes separate the coordinate plane into four quadrants identifies with I, II, III, IV.
Hypotenuse
The longest side of the triangle.
Numerical expressions
An equation, combination, or sentence with numbers only.
Set
A collection of objects called elements or members.
Common Denominator
The same denominator for two or more fractions.
Pythagorean Theorem
In a right triangle with legs of lengths of a and b and hypotenuses of length c. a2 + b2 =c2
Volume
A space contained by a three-dimensional figure. The volume of a rectangular solid id the product
Additive identity
0
Coordinate plane
A plane in which every point can be identified by two numbers.
Axes
Two perpendicular number lines.
Term
Either a single number or a variable, or a product of numbers and variables.
Instance
An example of a pattern.
Opposite
In general, the opposite of any real number a is written -a.
Image
The final position of the figure.
Open interval
It does not include the end points.
Evaluating
Finding the numerical value of an expression.
Interval
A set of numbers between two numbers a and b, possibly including a, or b, or both a and b.
Y coordinates
The second coordinate.
Formula
An equation in which one variable is given in terms of other variables or numbers.
X coordinates
The first coordinate of any point.
x-axis
The horizontal axis.
Permutations
Am ordered arrangement of letters, names, or objects.
Continuous graph
A graph displaying points as ordered pairs of numbers.
Range
The diffrence obtained when the set's minimum value is selected from its maximum value.
Counter example
An instance that shows that a pattern is not true.
Adding like terms
Adding the coefficient can preform the simplification.

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