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Quadratic Expresions - Complete Squares
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Multiplying a Fraction by a Whole Number
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Estimating Products and Quotients of Mixed Numbers
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Solving Proportions Using Cross Multiplication
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
Solving Linear Systems of Equations by Elimination
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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
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Solving Systems of Equations
Exponent Laws
Solving Quadratic Equations
Factoring Trinomials
Solving a System of Three Linear Equations by Elimination
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The parabola
Computations with Scientific Notation
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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
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Extraneous Roots
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Linera Equations
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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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Graphing and Intercepts

  • The selection of points to use when graphing a linear equation in two variables need not be random. Two points which are (generally) easy to get and also useful in applications are the horizontal and vertical intercepts. These both exist provided that the line in question is not horizontal or vertical.

Definition

The horizonal (or x-) intercept of a line (if it exists) is the point where the line crosses the horizontal axis.

The vertical (or y-) intercept of a line (if it exists) is the point where the line crosses the vertical axis.

Procedure: (Finding Intercepts)

To find the horizontal intercept, set the vertical variable to 0 and solve for the horizontal variable. (Most of the time, this means that you set y = 0 and solve for x .)

To find the vertical intercept, set the horizontal variable to 0 and solve for the vertical variable. (Most of the time, this means that you set x = 0 and solve for y .)

  • There are two types of lines for which this does not work: horizontal lines and vertical lines . Luckily, horizonal and vertical lines are very easy to spot when given an equation.

Assuming that the horizontal variable is x and the vertical variable is y , then any vertical line has an equation of the form x = a and any horizontal line has an equation of the form y = b .

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