Halloween Cookie Dilemma
Paul has two dozen Halloween cookies and follows a pattern of eating increasing amounts each day. By Thursday, he realizes he doesn't have enough cookies to continue. Learn about his cookie consumption conundrum and test your problem-solving skills with two-step equations. Discover helpful tips and tricks for solving equations efficiently.
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Presentation Transcript
Halloween Warm-Up Ticket in the Door 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? Agenda Place book bags on hook Ticket in the door Ticket in the door review Current Lesson: Cornell notes Wrap Up Homework: study for quiz
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.
Format your paper for Cornell Notes Topic: Solving two-step equations E.Q. How can we solve two step equations?
Solving Two- Step Equations Lesson 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)
Dont 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.
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!
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 1. 2. 1. 2. 1. 2.
Lets Try One 3x + 2 = 23 - 2 -2 The problem contains addition and multiplication. Which one do we undo 1st? 21 3x = 21 3 3 x = 7
Another Example -2y 7 = 3 The problem contains subtraction and multiplication. Which one do we undo 1st? +7 +7 10 -2y = 10 -2 -2 y = -5
Last Example -3c + 9 = 3 The problem contains addition and multiplication. Which one do we undo 1st? -9 -9 -6 -3c = -6 -3 -3 c = 2
Now its your turn 1. 5x + 4 = 19 2. 2t + 7 = -1 3. 6m + 1 = -23 4. -4w 4 = 8 5. -7y + 3 = -25 6. 3t 13 = 2 1. x = 3 2. t = -4 3. m = -4 4. w = -3 5. y = 4 6. t = 5
Homework Complete Lesson 4-4 # 2-24 evens
