Quick Algebra Review Units 0-I: Basic Concepts

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23 Terms

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literal number/variables

symbols representing an unknown value

<p>symbols representing an unknown value</p>
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equation

an algebraic statement with an equals sign

<p>an algebraic statement with an equals sign</p>
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numerical factors

numbers multiplied together

<p>numbers multiplied together</p>
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coefficient

numerical and literal coefficients

<p>numerical and literal coefficients</p>
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Axioms of Equality

must do the same operation of both sides

<p>must do the same operation of both sides</p>
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Axiom

true state without proof, self evident

<p>true state without proof, self evident</p>
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dividing by zero (x/0)

undefined

<p>undefined</p>
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commutative property (+/x)

order of numbers can change

<p>order of numbers can change</p>
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associative property (+/x)

values are the same regardless of grouping

<p>values are the same regardless of grouping</p>
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distributive property

a(b+c) = ab + ac

<p>a(b+c) = ab + ac</p>
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PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

<p>Parentheses, Exponents, Multiplication, Division, Addition, Subtraction</p>
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Algebraic expressions

an expression that contains at least one variable

<p>an expression that contains at least one variable</p>
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When adding/subtracting or multiplying/dividing

do it from left to right

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terms

separated by operation signs

<p>separated by operation signs</p>
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evaluate expression

To replace the variable in an expression with a number and then solve it.

<p>To replace the variable in an expression with a number and then solve it.</p>
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monomial

one term

<p>one term</p>
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multinomial

more than three terms

<p>more than three terms</p>
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binomial

2 terms

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polynomial

more than four terms

<p>more than four terms</p>
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power

exponent answer

<p>exponent answer</p>
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exponent format

base^exponent = power

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like terms

Expressions that contain the same variables (literal coefficients) and same exponents

<p>Expressions that contain the same variables (literal coefficients) and same exponents</p>
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figures in parentheses are

treated as one quantity