Algebra Class: Order of Operations

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Questions and Answers

What are the rules that state the sequence in which an expression should be solved called?

Order of Operations

How many steps are there in Order of Operations?

4

The steps to Order of Operations are: 1. ______, 2. Exponents, 3. Multiplication/Division, 4. Addition/Subtraction.

Parenthesis

What is a symbol that represents a quantity that changes?

<p>Variables</p> Signup and view all the answers

What is a number that does not change?

<p>Constant</p> Signup and view all the answers

Is the expression 3x + 7 + 10x simplified?

<p>False (B)</p> Signup and view all the answers

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Study Notes

Order of Operations

  • A set of rules defining the sequence for solving mathematical expressions.
  • Crucial for ensuring consistent and correct results in calculations.

Steps in Order of Operations

  • Four main steps to follow:
    • Parenthesis first: Solve expressions within parentheses.
    • Exponents: Calculate powers or square roots.
    • Multiplication and Division: Perform these from left to right.
    • Addition and Subtraction: Complete these last, also from left to right.

Variables

  • Symbols used in mathematics to represent changing quantities.
  • Common examples include letters such as a, b, and x.

Constants

  • Fixed numerical values that do not vary during a mathematical operation.
  • Illustrative examples include numbers like 1, 3, and 10.

Algebraic Expression Simplification

  • The statement "3x + 7 + 10x" is not considered simplified.
  • Requires combining like terms to achieve a more concise expression.

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