# Concepts of Algebra:Exponents and Radicals,Factoring,Fractional Expressions,Graphical Representation

May 29th, 2015
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I. Simplify each of the following expressions.7. Find the value of 8. Simplify by removing all possible factors from the radical. 9. Simplify by removing all possible factors from the radical.

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College Algebra TutorialI. Concepts of Algebra1. Exponents and Radicals2. Factoring3. Fractional Expressions4. Graphical Representation of DataII. Equations and Inequalities1. Linear equations2. Quadratic Equations3. Complex Numbers4. Other Types of Equations5. Linear Inequalities6. Other Types of InequalitiesIII. Functions and Graphs1. Lines2. Function Concepts3. Functions and Graphs4. Shifting Graphs5. Combining Functions6. Inverse FunctionsIV. Exponential and Logarithmic Functions1. Exponential Functions2. Logarithmic Functions3. Laws of Logarithm4. Exponential and Logarithmic EquationsExponents and RadicalsI. Simplify each of thefollowing expressions.II Radicals5. 1.7. Find the value of 2. 8. Simplify by removing all possible factors from the radical.3. 9. Simplify by removing all possible factors from the radical.4. 10. Simplify by removing all possible factors from the radical.5. 11. Rationalize the denominator and simplify.6. 12. Rationalize the denominator and simplify.Simplify the expression Commute the terms so as to group the constant terms together andgroup the variable terms together.Simplify by using the first law of exponents.Simplify the expression x3(2y z2)3x3(2y z2)3= x3 . 23 y3 (z2)3Distribute the exponent of 3 among the three factors in (2y z2)3 using the properties of exponents.= x3 . 8y3z6= 8 x3 y3 z6Simplify by using the properties of exponents

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