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

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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Test your knowledge of the fundamentals of algebra with these flashcards from Chapter 3. Learn about terms, the distributive property, and combining like terms. Perfect for students looking to reinforce their understanding of basic algebraic concepts.

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