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Section 2.1

Section 2.1. The Addition & Subtraction Properties of Equality. Determine whether a number satisfies an equation. A. OBJECTIVES. B. OBJECTIVES. Use the addition and subtraction properties of equality to solve equations. C. OBJECTIVES. Use both properties together to solve an equation.

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Section 2.1

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  1. Section 2.1 The Addition & Subtraction Properties of Equality

  2. Determine whether a number satisfies an equation. A OBJECTIVES

  3. B OBJECTIVES Use the addition and subtraction properties of equality to solve equations.

  4. C OBJECTIVES Use both properties together to solve an equation.

  5. SOLUTIONS The replacements of the variable that make the equation atruestatement. “Solved the equation.”

  6. SOLUTIONS A number that is a solution of an equation satisfies the equation.

  7. SOLUTIONS For example 3 is a solution of 2x = 6 because: 3 satisfies the equation.

  8. PROCEDURE: Solving Equations by Adding or Subtracting 1. Simplify both sides if necessary.

  9. PROCEDURE: Solving Equations by Adding or Subtracting 2. Add or subtract the same numbers on both sides so that one side contains only variables.

  10. PROCEDURE: Solving Equations by Adding or Subtracting 3. Add or subtract the same expressions on both sides so that the other side contains only numbers.

  11. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #1

  12. Yes.

  13. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #2

  14. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #3

  15. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #4

  16. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #5

  17. Impossible. No solution.

  18. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.1Exercise #6

  19. All real numbers.

  20. Section 2.2 The Multiplication and Division Properties of Equality

  21. Use the multiplication and division properties of equality to solve equations. A OBJECTIVES

  22. B OBJECTIVES Multiply by reciprocals to solve equations.

  23. C OBJECTIVES Multiply by LCMs to solve equations.

  24. D OBJECTIVES Solve applications involving percents.

  25. PROCEDURE: Clearing Fractions Multiply both sides of the equation by the LCM of the denominators. Or, multiply each term by the LCM.

  26. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #7

  27. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #8

  28. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #9

  29. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #10

  30. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #11

  31. LCD = 40

  32. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #12

  33. Chapter 2 Equations, Problem Solving, and Inequalities Section 2.2Exercise #13

  34. Section 2.3 Linear Equations

  35. Solve linear equations in one variable. A OBJECTIVES

  36. B OBJECTIVES Solve a literal equation for one of the unknowns.

  37. PROCEDURE: Solving Linear Equations 1. Clear fractions (Multiply by the LCM of the denominator).

  38. PROCEDURE: Solving Linear Equations

  39. PROCEDURE: Solving Linear Equations 2. Remove parentheses and simplify.

  40. PROCEDURE: Solving Linear Equations 3. Isolate the variable.

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