Warm Up 82812 Bring Kleenex EC opportunity due

Warm Up – 8/28/12 Bring Kleenex EC opportunity due next week. Put in box up front. Make sure your name and period is on it. We buy our workbooks on Friday, 8/31 Solve. 1. x- 3 = 5 - x+5 4 14 7 2. 5 = 17 - 1 2 x 18 3 x HW: Pg. 105 – 106: 69 -79 Please make sure you checked your answers on the hw for problems 10 -14!!

Warm Up Answers 1. X = 1 2. X = 3

Homework Answers 10. -1 11. -5 12. -4 13. 6 14. 3 15. -2 25. 33/2 27. -12 29. 46/5 31. a. 0 b. 1/2 33. a. 0 b. -2 35. a. 0 b. 2 37. a. 0 b. 4 39. a. 1 b. 4 41. a. -1 b. no solution 48. a. 5, -5 b. 7 49. a. -2, 4 b. no solution

Announcements: Due Monday: Kleenex Extra Credit Due Today P 6 – 1. 3 QUIZ on 8/11/11!! Journal Check on 8/22!!! TEST– 8/22 and 8/23 or 8/24!!!

Lesson 1. 2 B - Types of Equations We can break equations into different types depending on their solution sets. Type 1 – Identity X+3=x+2+1 Every number plus three is equal to that number plus 2 plus 1. The solution set is all real numbers which is expressed as {x x is a real number}

Types of Equations (cont. ) Type 2 – Conditional Equation Is an equation that is not an identity, but is true for at least one real number. 2 x + 3 = 17 is a conditional equation because the only value x that makes it true is 7. Type 3 – Inconsistent Equation Is an equation that is not true for even one real number. For example x = x+7, because there is no number that is equal to itself plus 7

Three possible solutions X = real number than it is a conditional equation (intersecting lines), if you answer is x = # X = all real numbers is identity(same line) 3=3 X = no real numbers it is inconsistent. (parallel lines) -7 = -1

Solve and categorize the equation 1. 2(x+1) = 2 x + 3 2. 2 x + 2 = 2 x + 3 3. 2 = 3 2 does not equal three which means no solution, which means no real numbers making it inconsistent (parallel lines) 1. Write the problem. 2. Distribute the two on the left side. 3. Subtract 2 x from both sides.

You Try! – Solve and determine the equation. 4 x – 7 = 4(x-1) + 3 4 x – 7 = 4 x – 4 + 3 4 x – 7 = 4 x – 1 -7 = -1 Write the problem. Distribute the 4. Combine Like Terms Subtract 4 x from both sides -7 does not equal -1, the solution is an empty set. The equation is inconsistent, meaning parallel lines. Check with calculator.

Summary: What is an identity? Give an example Homework: Pg. 105 – 106 69 -79