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Chapter 2 Equations and Inequalities

Chapter 2 Equations and Inequalities. 2.1 More on Solving Equations. Objective : Solve equations containing fractions or decimals.

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Chapter 2 Equations and Inequalities

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  1. Chapter 2Equations and Inequalities

  2. 2.1 More on Solving Equations

  3. Objective: Solve equations containing fractions or decimals. When an equation contains fractions or decimals, we can use the multiplication property to eliminate them. The process is called clearing the equation offractions or decimals.

  4. Solving an Equation with Decimals Solve the equation by clearing it of all decimals first.

  5. A B C Solve the equation by clearing it of all fractions or decimals first.

  6. Objective: Use the principle of zero products to solve equations. Solving an Equation with Zero Products

  7. Solving an Equation with Zero Products

  8. Solving an Equation with Zero Products Solve the equation using the zero products property.

  9. Solving an Equation Solve the equation

  10. Solving an Equation Solve the equation

  11. 2.2 Using Equations

  12. Objective: Solve problems by translating to equations.

  13. Objective: Solve problems by translating to equations. A 23-ft cable is cut into two pieces, one three times as long as the other. How long are the pieces?

  14. Herman is doing an experiment that calls for a 40% solution of copper sulfate. He has a 60ml of a solution that is 25% copper sulfate. How many milliliters of a 70% solution should Herman add to obtain the required 40% solution?

  15. Two cars leave the 7-11 at the same time going in the same direction. One car is going 45 mph and the other car is going 58 mph. In 2.5 hours how far apart are they?

  16. A popular music CD was discounted 25% to $8.42. What was the original price?

  17. Write an equation and use it to solve the following F A tank at a marine exhibit contains 2000 gallons of sea water. The sea water is 7.5% salt. How many gallons, to the nearest gallon, of fresh water must be added to the tank so that the mixture contains only 7% salt?

  18. HW #2.1-2Pg 64 15-41 Odd, 42-46Pg 70 19-27 Odd

  19. HW Quiz #2.1-2Friday, October 31, 2014

  20. 2.3 Solving Formulas

  21. Objective: Solve a formula for a specified letter. Solving a Formula for a specific variable A formula is a rule for doing a specific calculation.

  22. Solving a Formula for a specific variable

  23. Solving a Formula for a specific variable

  24. Solving a Formula for a specific variable

  25. 2.4 Solving Inequalities

  26. Objective: Determine if a number is a solution of an inequality and graph the solution set. If a number occurs to the left of another on the number line, the first number is less than the second, and the second is greater than the first.

  27. Objective: Solve and graph inequalities using the addition property.

  28. Objective: Solve and graph inequalities using the multiplication property.

  29. Solving an Inequality

  30. Solving an Inequality

  31. HW #2.3-4Pg 72 17-23 Odd, 25-31Pg 77 19-27 Odd, 28-38

  32. HW Quiz #2.3-4Friday, October 31, 2014

  33. 2.5 Using Inequalities

  34. Suppose that a machinist is manufacturing boxes of various sizes with rectangular bases. The length of a base must exceed the width by at least 3 cm, but the base perimeter cannot exceed 24 cm. What widths are possible?

  35. 2.6 Compound Inequalities

  36. Objective: Solve compound inequalities. A compound inequality is two simple inequalities joined by “and” or “or.” Statements involving the word “or” are called disjunctions. A disjunction is true when at least one of the statements is true Statements involving the word “and” are called conjunctions. For a conjunction to be true all individual statements must be true

  37. Conjunctions In mathematics, conjunction is called intersection and is symbolized by the symbol: 

  38. Disjunctions In mathematics, disjunction is called union and is symbolized by the symbol: 

  39. Solve the following inequalities. Graph your solution on a number line and write them in interval notation.

  40. Write and solve a compound inequality that is the conjunction of two disjunctions. Write an inequality that has no solution and show it has no solution. Write an inequality whose solutions are all real numbers and show why the solutions are all real numbers.

  41. HW #2.5-6Pg 81 10-18Pg 85-86 1-31 Odd, 33-45

  42. HW Quiz #2.5-6Friday, October 31, 2014 Row 1, 3, 5 Row 2, 4

  43. 2.7 Absolute Value

  44. |2| = |-2| = 2

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