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

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

4. 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. Solving Equations

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

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

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

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

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

11. 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. Example of Clearing Fractions Solving Equations

13. 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. 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. Solving Equations