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ALG101 – Algebra Foundations & Properties Full Study Guide | Definitions, Rules, and Solved Concepts

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This complete Algebra 1 foundations guide covers all essential definitions, rules, and core properties of real numbers, equations, and coordinate geometry. It includes key concepts such as variables, algebraic expressions, properties of operations, interval notation, absolute value, and linear equations—each paired with the correct answer for quick memorization (). Ideal for high school algebra, college prep, or placement test review, this guide helps students master the language and logic of algebra in one compact, easy-to-follow resource.

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Institution
Physics 1010
Course
Physics 1010

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ALG101 – Algebra Foundations & Properties Full
Study Guide | Definitions, Rules, and Solved
Concepts
A letter that represents a variety of different numbers is called a________________. -
Variable

A combination of numbers , letters that represent numbers, and operation symbols is called
an_________. - Algebraic Expression

If n is a counting number, b^n, read B to the nth power, indicates that there are n factors of b.
The number b is called the ________ and the number n is called the ______________. - Base

Exponent

A statement that expresses a relationship between two or more variables, such as C=5/9(F-32)
is called a _______. - Formula

The set of {1,2,3,4,5} is called the set of ____________. - Natural Numbers

The set {0,1,2,3,4,5) is called the set of _____________. - Whole numbers

The set {......,-4,-3,-2,-1,0,1,2,3,4......} is called the set of ___________> - Integers

The set of numbers in the form a/b, where a and b belong to the set in statement 7 above b =0,
is called the ______. - Rational numbers

The set of numbers whose decimal representations are neither terminating nor repeating is
called the set of - Irrational Numbers

Every real number is either a________ number or a _________. - Rational

Irrational

The notation 2 < 5 means that the 2 is to the _____of 5 on a number line. - Left

In interval notation, (-2, infinite) represents the set of real numbers _____ ______ -2. - Greater
Than

In interval notation [2,5) represents the set of real numbers between ____ and ___, including
_____, but not including ______. - 2 and 5

2 and 5

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Institution
Physics 1010
Course
Physics 1010

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Uploaded on
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Written in
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