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Solving Algebraic Expressions with properties of numbers and

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Fidelfo Moral
Fidelfo Moral
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Solving Algebraic Expressions with Properties of Numbers and Equalities
x + 5 x + 5 + (–5) x + 0 x 27 27 + (–5) 22 2 = = = = Given Addition Property of Equality Inverse Property of Addition Additive Identity Property Solve the following: x + 5 = 27
11 – x 11 – x + (–11) – x + 11 + (–11) – x + 0 – x -1 (-x) 17 17 + (–11) 6 6 6 6 x -1 = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Solve the following: 11 – x = 17
Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Associative Property of Multiplication Inverse Property of Multiplication Multiplicative Identity Property
Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Associative Property of Multiplication Inverse Property of Multiplication Multiplicative Identity Property
Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given APE APA IPA AIP MPE APM IPM MIP

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Solving Algebraic Expressions with properties of numbers and

  • 1. Solving Algebraic Expressions with Properties of Numbers and Equalities
  • 2. x + 5 x + 5 + (–5) x + 0 x 27 27 + (–5) 22 2 = = = = Given Addition Property of Equality Inverse Property of Addition Additive Identity Property Solve the following: x + 5 = 27
  • 3. 11 – x 11 – x + (–11) – x + 11 + (–11) – x + 0 – x -1 (-x) 17 17 + (–11) 6 6 6 6 x -1 = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Solve the following: 11 – x = 17
  • 4. Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Associative Property of Multiplication Inverse Property of Multiplication Multiplicative Identity Property
  • 5. Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given Addition Property of Equality Associative Property of Addition Inverse Property of Addition Additive Identity Property Multiplication Property of Equality Associative Property of Multiplication Inverse Property of Multiplication Multiplicative Identity Property
  • 6. Solve the following: 3x – 13 = 27 – 5x 3x – 13 3x – 13 + 13 + (– 5x) 3x + (– 5x)– 13 + 13 – 2x + 0 – 2x – ½ (– 2x) (– ½ · – 2) x 1 · x x 27 + 5x 27 + 5x + 13 + (– 5x) 27 + 13 + 5x (– 5x) 40 40 – ½ (40) – 20 – 20 – 20 = = = = = = = = = Given APE APA IPA AIP MPE APM IPM MIP