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Published byElla Gonzalez Modified over 3 years ago

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Chapter 1 Review In Algebra, we use symbols to stand for various numbers. One type of symbol used is a variable. An expression that contains at least one variable is called an algebraic expression. We can replace a variable with a number; this is called substituting for the variable. To evaluate an algebraic expression, substitute a number for each variable and calculate.

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Definitions continued… Natural numbers are the numbers used for counting. Whole numbers are the natural numbers and zero. Parenthesis are grouping symbols. Order of Operations: PEMDAS

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Properties Commutative Properties Addition: a+b = b+a Multiplication: ab=ba (these are equivalent expressions). Identity Properties Addition: a+ 0 = a, 0+a = a Multiplication: 1*a = a, a*1 = a

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More defs When two numbers are multiplied to form a product, each number is called a factor. The process of finding the simplest form is called simplifying. Whenever two algebraic expressions are equivalent, we can substitute one for the other. A product in which the factors are the same is called a power. Exponent/base: When an expression is written with exponents, we say the expression is written using exponential notation.

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Associative/Distributive Properties Associative Property of Addition a+(b+c) = (a+b)+c Associative property of Multiplication a* (b*c) = (a*b)*c Distributive property of Multiplication a(b+c) = ab+ac (b+c)a = ba +ca

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Do you know these defs? In an expression like 6s+6t+6w, what are the terms? Terms such as 5x and 4x, whose variable factors are exactly the same are called:

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