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2-4 Reasoning in Algebra

2-4 Reasoning in Algebra. (7 cards). Addition/Subtraction Property. Add or subtract the same number from both sides of an equation 4 + x = 12 -4 -4 (Subtraction Property) X = 8. Multiplication/Division Property. Multiply or divide the same number on each side of an equation

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2-4 Reasoning in Algebra

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  1. 2-4Reasoning in Algebra (7 cards)

  2. Addition/Subtraction Property • Add or subtract the same number from both sides of an equation 4 + x = 12 -4 -4 (Subtraction Property) X = 8

  3. Multiplication/Division Property • Multiply or divide the same number on each side of an equation 8x = 56 8 8 (Division Property) X = 7

  4. Reflexive Property • A number, segment or angle is equal or congruent to itself 5 = 5 c = c

  5. Symmetric Property • Two equal numbers, segments or angles are equal or congruent to its converse If a = b, then b = a

  6. Transitive Property • The law of syllogism applied to numbers, segments and angles

  7. Substitution Property • Equivalent numbers, segments and angles can replace each other

  8. Distributive Property • a(b + c) = ab + ac

  9. Ex 1Justify each step to solve for x

  10. Ex 1Justify each step to solve for x

  11. Ex 1Justify each step to solve for x

  12. Ex 1Justify each step to solve for x

  13. Ex 1Justify each step to solve for x

  14. Ex 1Justify each step to solve for x

  15. Ex 1Justify each step to solve for x

  16. Ex 2Justify each step to solve for x • Suppose points A, B and C are collinear with point B between points A and C. Solve for x if AB = 4 + 2x, BC = 15-x and AC = 21

  17. Ex 3Justify each step to solve for x • Given ray LM bisects angle KLN. The measure of angle KLM is 2x+40 and the measure of angle MLN is 4x.

  18. Homework

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