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	Multiplying a Fraction by a Whole Number
	Solving Equations with Log Terms and Other Terms
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	Locating the Solutions of the Quadratic Equation
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	Inequalities
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	Using the Quadratic Formula
	Scientific Notation
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	Values of Symbols for Which Fractions are Undefined
	Graphing Equations in Three Variables
	Writing Fractions as Decimals
	Solving an Equation with Two Radical Terms
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	Positive Rational Exponents
	Adding and Subtracting Fractions
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	Rise and Run
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	Solving Systems of Linear Inequalities
	Multiplication Property of Radicals
	A Quadratic within a Quadratic
	Graphing a Linear Equation
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	Multiplication Property of Square and Cube Roots
	Solving Equations with One Log Term
	The Cartesian Coordinate Plane
	Equivalent Fractions
	Adding and Subtracting Square Roots
	Solving Systems of Equations
	Exponent Laws
	Solving Quadratic Equations
	Factoring Trinomials
	Solving a System of Three Linear Equations by Elimination
	Factoring Expressions
	Adding and Subtracting Fractions
	The parabola
	Computations with Scientific Notation
	Quadratic Equations
	Finding the Greatest Common Factor
	Introduction to Fractions
	Simplifying Radical Expressions Containing One Term
	Polynomial Equations
	Graphing and Intercepts
	The Number Line
	Adding and Subtracting Rational Expressions with Different Denominators
	Scientific Notation vs Standard Notation
	Powers
	Factoring by Grouping
	Extraneous Roots
	Variables and Expressions
	Linera Equations
	Integers and Substitutions
	Squares and Square Roots
	Adding and Subtracting Rational Expressions with Different Denominators
	Solving Linear Inequalities
	Expansion of a Product of Binomials
	Powers and Exponents
	Finding The Greatest Common Factor
	Quadratic Functions
	The Intercepts of a Parabola
	Solving Equations Containing Rational Expressions
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	Subtracting Polynomials
	Solving Equations
	Adding Fractions with Unlike Denominators
	Solving Systems of Equations by Substitution
	Solving Equations
	Product and Quotient of Functions

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Depdendent Variable

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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

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Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

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Solving an Equation with Two Radical Terms

Example

Solve for x:

Solution Step 1 Isolate a radical term. Subtract from both sides. Step 2 Apply the Principle of Powers.		= 2
Square both sides.
Step 3 Solve the resulting equation. Write the right side as a product.
FOIL the right side.
Isolate the remaining radical term.	2x - 6
Divide both sides by 2.	x - 3
Square both sides.	(x - 3)²
Write the left side as a product. Simplify. Write in standard form. Factor. Use the Zero Product Property. Solve for x. Step 4 Check the solution.	(x - 3)(x - 3) x² - 6x + 9 x² - 10x - 21 (x - 3)(x - 7) x - 3 = 0 or x - 7 x = 3 or x	= 4(x - 3) = 4x - 12 = 0 = 0 = 0 = 7

Since x = 7 does not check, the only solution is x = 3.

Note:

We divide both sides by 2 rather than 4 in order to avoid introducing fractions into the equation.

One way to simplify is: