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Halloween Warm-Up

Halloween Warm-Up. Paul has two dozen Halloween cookies. He will eat three cookies on Sunday. On every day that follows, he will eat a number of cookies that is one greater than the day before. On what day will he find that he doesn’t have enough cookies to follow this procedure? . Answer.

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Halloween Warm-Up

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  1. Halloween Warm-Up • Paul has two dozen Halloween cookies. He will eat three cookies on Sunday. On every day that follows, he will eat a number of cookies that is one greater than the day before. On what day will he find that he doesn’t have enough cookies to follow this procedure?

  2. Answer • Thursday • Sun -3 Mon- 4 Tues- 5 Wed -6 18 cookies eaten 24 -18 = 6 cookies left over, but on Thursday he needs to eat 7 cookies to continue his pattern.

  3. Solving Two- Step Equations Lesson 4-4

  4. Rules to Remember • When solving an equation, the goal is to get the variable by itself. • Addition and Subtraction are inverse operations. (opposites) • Multiplication and Division are inverse operations. (opposites)

  5. Don’t Forget • The equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation.

  6. How to solve two-step equations • “Undo” the operations in the reverse order of the order of operations. • You are using the work back-words strategy • In order of operations we do multiplication or division first, then addition and subtraction. When solving an equation we do the opposite!

  7. Integer Rules to Remember • Adding Integers • Same sign= add and keep the sign • Different sign = subtract and keep the sign of the larger number • Subtracting Integers • Keep, Change, Change • Follow the rules for addition • Multiplying and Dividing Integers • Same Sign = Positive Answer • Different Sign = Negative Answer

  8. Let’s Try One… • 3x + 2 = 23 - 2 -2 21 3x = 21 3 3 x = 7 The problem contains addition and multiplication. Which one do we undo 1st?

  9. Another Example • -2y – 7 = 3 +7 +7 10 -2y = 10 -2 -2 y = -5 The problem contains subtraction and multiplication. Which one do we undo 1st?

  10. Last Example • -3c + 9 = 3 -9 -9 -6 -3c = -6 -3 -3 c = 2 The problem contains addition and multiplication. Which one do we undo 1st?

  11. Now it’s your turn • 5x + 4 = 19 • 2t + 7 = -1 • 6m + 1 = -23 • -4w – 4 = 8 • -7y + 3 = -25 • 3t – 13 = 2 • x = 3 • t = -4 • m = -4 • w = -3 • y = 4 • t = 5

  12. Homework • Complete Lesson 4-4 # 2-24 evens

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