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Order of Operations Review

Multi Step Equations. Warm Up Questions. Multi Step Equations. Solving Problems with Multiple Steps. Algebraic Properties of Equality Review. Order of Operations Review. START!. Warm Up Question 1. POLK. MONROE. n.

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Order of Operations Review

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  1. Multi Step Equations Warm Up Questions Multi Step Equations Solving Problems with Multiple Steps Algebraic Properties of Equality Review Order of Operations Review START!

  2. Warm Up Question 1 POLK MONROE n During a math contest, Monroe High School scored twice as many points as Polk High School. Polk scored n points. Which of the following is an algebraic expression for the points scored by Monroe High School? n + 2 2n Main Menu Properties Operations

  3. Warm Up Question 2 POLK MONROE n 136 We learn that Monroe High School scored 136 points. Which of the following is an equation we can use to solve for n? n + 136 = 2 136n = 2 2n = 136 Main Menu Properties Operations

  4. Warm Up Question 3 POLK MONROE n 136 2n = 136 How many points did Polk High School score? n = 68 Main Menu Properties Operations

  5. Review Single-step equation: x – 1 = 2 x – 1 + 1 = 2 + 1 x = 3 A multi-step equation requires more than one operation to solve it. addition property of equality Main Menu Properties Operations

  6. Solving Multi-Step Equations Correct Incorrect Main Menu Properties Operations

  7. Solving Multi-Step Equations Simplify Remember to use your order of operations backwards Check your work! Main Menu Properties Operations

  8. Bake Sale p Daily Profit: 1stday: p2ndday: p -15 3rd day: p – 12 The total 3 day profit is $63 Which of the following is an equation we can use to determine the value of p? p (p-15)(p-12) = 36p+(p-15)+(p-12) = 63p + (p-15) = 63 Main Menu Properties Operations

  9. Incorrect Solution: Write expressions for the profit made each day: 1st day: p 2nd day: p -15 3rd day: p – 12 The sum of the three day’s profit is equal to $63. Add the expressions for the daily profits and set the result equal to the total profit: P + (p-15) + (p-12) = 63 Click to Continue Main Menu Properties Operations

  10. Solving the equation p + (p - 15) + (p - 12) = 63 Simplify: p + p + p – 15 - 12=63 3p – 27 = 63 3p - 27 + 27 = 63 + 27 3p = 90 p = 30 Day 1 = $30 Day 2 = $30 -15 = $15 Day 3 = $30 -12 = $18 combine like terms remember to work backwards Check your work! 30 + 15 + 12 = 63 63 = 63 Main Menu Properties Operations

  11. Garden Fencing x 5 Length of available fence: 13 meters Length = 5 meters Width = x Which of the following is an equation we can write in order to solve for the length x? 2 (x + 5) = 135 (x + 2) = 13x + 5 = 13 Main Menu Properties Operations

  12. Incorrect Solution: Recall that the total distance around a rectangle (circumference) can be calculated by taking twice the sum of the width plus length. 2(x+5) We can write an equation by setting this expression equal to the total length of fence that is available: 2(x+5) = 13 Click to Continue

  13. Solving the equation 2 (x + 5) = 13 2*x + 5*2 = 13 2x + 10 = 13 Solve the equation: 2x + 10 - 10 = 13 - 10 2x = 3 x = 1.5 simplify subtraction property division property Check your work! 2 (1.5 + 5) = 13 3 + 10 = 13 13 = 13 Main Menu Properties Operations

  14. Car Payment Total cost of car = $20,000 Car down payment = $2,000 Monthly payment = $500 Total number of monthly payments = n How many monthly payments, n, will Jake need to make in order to pay off the car? ANSWER Main Menu Properties Operations

  15. Car Payment The amount of money Jake spends with the monthly payments (500n) plus the down payment should equal the total cost of the car. Therefore, we can write the equation: 500n + 2,000 = 20,000 To solve the equation, first use the subtraction property of equality: 500n + 2,000 - 2,000 = 20,000 - 2000 500n = 18,000 Next use the division property of equality: n =36 Jake will need to make 36 monthly payments. Main Menu Properties Operations

  16. RECAP • Simplify your equation before solving for x • Remember to use your order of operations backwards. Start with the addition or subtraction equality property, then move on to multiplication and division properties • Keep track of the signs when adding or subtracting numbers to both sides of the equation • Always check your answer! Main Menu

  17. Algebraic Properties of Equality Main Menu Operations

  18. Order of Operations • P.E.M.D.A.S. Parenthesis | Exponents | Multiplication | Division | Addition | Subtraction • Perform the operations inside a parenthesis first • Then exponents • Then multiplication and division, from left to right • Then addition and subtraction, from left to right You can also create a little phrase to memorize, as the sequence:Please Excuse My Dear Aunt Sally Main Menu Properties

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