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# Monday, september 24, 2012

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### Monday, september 24, 2012

1. 1. Monday, September 24, 2012 Today: Warm-up: Fast 15, Problems Warm-Ups, Continued Intro. to Equations Questions Regarding Anything Class work: Workbook Units 2-2 & 2-3 All Problems
2. 2. Warm-Up Cont., Equations:1. A. 2 + 5 = 7; Solve for 5; 5 = B. Solve for 2; 2 = C. 14 - 8 = 6; Solve for -8; -8 = D. Solve for 14; 14 = E. 12/4 = 3; Solve for 4 F. Solve for 12; 12 = G. (5)(3) = 15; Solve for 5; 5 = H. Solve for 3; 3 = The rules are the same for variables, because variables are just numbers we havent figured out yet. Find x: 2. x + 2 = 7 3. 3x = 15 4. x/3 = 4 5. x - 8 = 6
3. 3. Warm-up, Continued.:6. Write 4 different equations so that the answer to eachone is x = 5. The first equation should have a sum, thesecond a difference, the third a product and the fourth aquotient.7. Copy the following problem, then describe in sentenceform, what you would do in order to determine whetherthe following is true or false: x+y = x+y z z z
4. 4. Warm-Up, continued:8. Simplify: 23(42 - 6) + 7 - 12 ÷ 49. Simplify: 3 - 5(6 + 2)10. 12 + (-22)11. Simplify the following: A. 4 + | 1 - 3| B. |12|•|-4| C. =| -6 + 4| + |3|
5. 5. Warm-Up, continued:8. Simplify: 23(42 - 6) + 7 - 12 ÷ 49. Simplify: 3 - 5(6 + 2)10. 12 + (-22)11. Simplify the following: A. 4 + | 1 - 3| B. |12|•|-4| C. -| -6 + 4| + |3|
6. 6. Warm-Up, continued:12. Simplify: -4(3x -3) + 9(x + 1)13. Simplify: 8(-4x - 7) + 3(9 - 9x) EquationsBecause of the equal sign = both sides of the equationmust be balanced, or equal. If you change both sides bythe same amount, they remain balanced. Solvingequations is the most important tool in your algebraproblem solving tool box. The purpose of solvingequations is to find the number value of the variable. Toturn the unknown into the known.
7. 7. Warm-Up: Solving EquationsAdding & Subtracting1. x + 4 = 102. 9 = x - 13. 15 = x + 4Multiplying & Dividing4. 3x + 4 = 10 5. 9 = 2x - 16. 17 + 2x = -63 7. -2x -3x -1 - 5 = 1448. x/4 = 3 **9. x/12 -4 = 10 9. 2 ways to solve this type of Problem: See board