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Section 2-4

Section 2-4. Reasoning with Properties from Algebra. Properties of Equality. Addition property. Adding something to each side of an equation. Example:. Given. + 18. + 18. Therefore, the Addition Property of (=) was applied. subtraction property.

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Section 2-4

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  1. Section 2-4 Reasoning with Properties from Algebra

  2. Properties of Equality

  3. Addition property • Adding something to each side of an equation Example: Given + 18 + 18 Therefore, the Addition Property of (=) was applied.

  4. subtraction property • Subtracting from each side of an equation Example: Given Therefore, the Subtraction Property of (=) was applied.

  5. Multiplication property • Multiplying something to each side of an equation 7 7 Given Example: Therefore, the Multiplication Property of (=) was applied.

  6. division property • Dividing something on each side of an equation Given 2 2 Example: Therefore, the Division Property of (=) was applied.

  7. Reflexive property • Same exact thing on each side of the equal sign! Examples:

  8. Symmetric property • The sides of an equation are switched. (Nothing else is done with the equation.) Examples:

  9. Transitive property * Relates to the Law of Syllogism!

  10. Examples:

  11. substitution property • Plugging in something in place of another thing in any equation or expression. Example:

  12. Distributive property • a(b+c) = ab +ac *Helps to get rid of parentheses Example: 4(x+y) Given = 4•x + 4•y = 4x + 4y Therefore, the Distribution Property was applied.

  13. Simplification • To combine like terms Example: x= 3 + 5 Given = 8 Therefore, the Simplification was applied.

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