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Solving Equations

Solving Equations. CECS 5260 Computer Graphic for Mediated Communications. I. Sheffield Assignment 4 August 6, 2012. Solving Equations. Navigation. In order to go backwards click the following: In order to go forwards click the following:

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Solving Equations

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  1. Solving Equations CECS 5260 Computer Graphic for Mediated Communications I. Sheffield Assignment 4 August 6, 2012

  2. Solving Equations Navigation In order to go backwards click the following: In order to go forwards click the following: In order to return to the menu page click: Return to the beginning or end of slide show:

  3. Solving Equations Table of Contents • Title Page • Navigation • Table of Contents • Terminology • Solving Equations • Solving Equations with Fractions • Solving Radical Equations • Summary

  4. Solving Equations Terminology Coefficient – The number part in a multiplication expression. For example 4 is the coefficient in the expression 4s. Constant – is a number that is added or subtracted in an expression. For example, 5 is the constant in the expression c+5. Distributive Property – Multiplication a distributes over addition. For example 3(x+2) = 3*x + 3 * 2 = 3x + 6 Equation – Has an equal sign, and shows a relationship. Exponents – Tells how many times a number is multiplied times itself. Like Terms – terms with exactly the same variable parts (the same letters and exponents). The coefficients may be different.

  5. Solving Equations Terminology Least Common Denominator (LCD) – The smallest number that is a multiple of a group of denominators. Radicals – a radical sign with a radicand Power Rules - If both sides of an equation are raised to the same power all solutions of the original equation are also solutions of the new equation.

  6. Solving Equations Addition Property of Equality If then Examples:

  7. Solving Equations Multiplication Property of Equality If then Examples:

  8. Solving Equations • Steps for Solving an Equation • Distribute • Combine Like Terms • Addition Property of Equality • Multiplication Property of Equality • Check your solution

  9. Solving Equations Example of Combining Properties: Distribute Addition Property of Equality Multiplication Property of Equality

  10. Solving Equations Example of Combining Properties: Distribute Combine Like Terms Addition Property of Equality Addition Property of Equality Multiplication Property of Equality

  11. Solving Equations • Steps for Solving an Equation with Fractions • Distribute • Find LCD (Least Common Denominator) • Multiply the whole equation by the LCD (Clearing the Fraction) • Combine Like Terms • Addition Property of Equality • Multiplication Property of Equality • Check your solution

  12. Solving Equations Example of Clearing Fractions

  13. Solving Equations Steps for solving radical equations: Isolate the radical on one side of the equation. (If your equation has two or more radicals isolate one of the radicals by itself on one side of the equal sign and the other radical on the other side) Apply the power rule – Raise both sides of the equation to a power that is the same as the index of the radical Solve the equation – If it still contains a radical repeat steps 1 & 2. Check your answer– It is essential that all potential solutions be tested in the original equation.

  14. Solving Equations Example of Solving Radical Equations

  15. Solving Equations Example of Solving Radical Equations

  16. Solving Equations • Summary: • Always follow the Steps for Solving Equations • Remember you can only combine like terms (terms that have the same variable and exponent) • Always move your variable term before your constant • Finally, check your answer.

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