Algebra Chapter 3 Flashcards

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Questions and Answers

What is a term?

A single number or variable, or the product of a number and one or more variables.

What is the Distributive Property?

a(b + c) = ab + ac

What does it mean to combine like terms?

To add their coefficients and keep the common variable part.

What does it mean to simplify an expression?

<p>To write the expression in its most compact form, using the fewest symbols possible.</p> Signup and view all the answers

What is the equation for the perimeter of a rectangle?

<p>P = 2L + 2W</p> Signup and view all the answers

What is the equation for the perimeter of a square?

<p>P = 4s</p> Signup and view all the answers

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Study Notes

Algebra Basics

  • Term: A term represents a single number, variable, or a product of a coefficient and one or more variables; terms in algebraic expressions are distinguished by addition symbols.

  • Distributive Property: This property illustrates how to distribute multiplication over addition; expressed as ( a(b + c) = ab + ac ).

  • Combining Like Terms: To simplify expressions, combine terms that have the same variable part by adding their coefficients while retaining the variable part.

  • Simplify: The term "simplify" refers to the process of writing an algebraic expression in its most compact form, minimizing the number of symbols used.

  • Perimeter of a Rectangle: The formula for calculating the perimeter of a rectangle is given by ( P = 2L + 2W ), where ( L ) is length and ( W ) is width.

  • Perimeter of a Square: The formula to calculate the perimeter of a square is ( P = 4s ), where ( s ) represents the length of a side.

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