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Understanding the Order of Operations and Evaluating Expressions in Mathematics

Dive into the fundamentals of the Order of Operations with B.E.D.M.A.S. Learn when to execute each mathematical operation effectively. Explore practical examples for evaluating expressions given specific variable values, such as 7x-3 when x=7 or 10(x-2) when x=4. Discover how to solve equations and find the roots with practical scenarios, such as cell phone bills, illustrating real-life applications of functions. Tackle diverse math problems through guided questions and significant problem-solving strategies.

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Understanding the Order of Operations and Evaluating Expressions in Mathematics

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  1. University Prep Math Steve Greer sgreer@staff.ednet.ns.ca hrsbstaff.ednet.ns.ca/sgreer

  2. Order of Operations: When to do what B E D M A S I V I S I ON DD I T I ON R A C K E T S X P ON E N T S U B T R A C T I ON U L T I P L A C T I ON

  3. “Evaluating an Expression” examples Evaluate the following expressions given the value of the variable stated. 7x-3 if x = 7 2. 10(x-2) if x = 4 3. 5r -7t -6 if r = 2 and t = 1 4. 3t2 +5t -9 if t = 2 3x(x-2) + x/2 if x = 4 6. if j = 3 Answers: 1. 46 2. 20 3. -3 4. 13 5. 26 6. 1

  4. Answers: 6 2) -5 3) 11 4) 10/6 = 1.67 5) 26 6) -3 Find the root of each equation. 1) 5(x-4) = 10 2) 8w – 2 = -42 3) ½ (g+1) = 6 4) 3x + 6 = 9x – 4 5) 6)

  5. Where do these functions come from? We have worked with a few expressions and a few equations but what do they mean? Let’s look out how our every day lives use functions all the time!

  6. Cell Phone Bill – A function What are two variables involved in cell phone use? We can find a relationship between the cost of the bill and the time of usage. Which variable depends on the other? Let’s say that it costs 20 cents per minute and that you are always charged a monthly fee of $7.00. Questions: 1) What is the function and its graph? 2) If you talked for 45 minutes, what will your bill be? 3) If your bill is $37.40, how many minutes were you on the phone?

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