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Understanding Expressions, Equations, and Order of Operations in Mathematics

This guide provides a clear explanation of mathematical expressions and formulas, including the definitions of expressions and equations. Learn how to evaluate expressions by substituting variables with numbers and using the order of operations: Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Remember the order with the mnemonic "Please Excuse My Dear Aunt Sally." We'll also evaluate practical examples, such as calculating the volume of a classroom using the formula V = lwh. Includes specific problem-solving exercises for practice.

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Understanding Expressions, Equations, and Order of Operations in Mathematics

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  1. 1-1 Expressions and Formulas To use order of operations Replacing variable with number in expression and Formulas

  2. What is a Expression? It is a mathematical statement with variables. 3x + 4 • So what is an Equation? It an expression that equals a given value, thus you can solve an equation. An Expression you can fill in the variables with numbers and evaluate. Using the Order of Operations

  3. What is the order of Operation?The way a expression is evaluated Parentheses Exponents Multiplication or Division (from Left to Right) Addition or Subtraction (From Left to Right)

  4. How to Remember the order. One way is with a Sentence Parentheses Exponents Multiplication or Division (from Left to Right) Addition or Subtraction (From Left to Right) • Please Excuse My Dear Aunt Sally

  5. Is it really important to use Left to Right Is the answer 25 or 1 ?

  6. Find the value of this expression using the order of operation

  7. First Step (7-2)=5

  8. So the expression is evaluate to 3

  9. You can also plug numbers in for variable and then use the order of operation to evaluate • Evaluate if x = 2 and y = 3.4

  10. The expression becomes easy to work with as each step is used.

  11. Lets Evaluate a Formula • The volume of this classroom has the Formula V = lwh; where l is length, w is wide and h is height Lets guess at the measurements L is 18 feet; w is 12 feet and h is 10 feet Thus V = (18)(12)(10)

  12. So the volume equals 2160 feet cubed Is this the correct answer? We did the math right. So if the answer is wrong what is the problem? Could the equation by wrong?

  13. Homework Page 9 – 10 #17 – 33 odd, #37- 47 odd and #54

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