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Prerequisites: Fundamental Concepts of Algebra | |

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Algebraic Expressions and Real Numbers | |

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Evaluate algebraic expressions | |

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Use mathematical models | |

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Find the intersection of two sets | |

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Find the union of two sets | |

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Recognize subsets of the real numbers | |

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Use inequality symbols | |

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Evaluate absolute value | |

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Use absolute value to express distance | |

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Identify properties of the real numbers | |

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Simplify algebraic expressions | |

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Exponents and Scientific Notation | |

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Use the product rule | |

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Use the quotient rule | |

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Use the zero-exponent rule | |

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Use the negative-exponent rule | |

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Use the power rule | |

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Find the power of a product | |

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Find the power of a quotient | |

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Simplify exponential expressions | |

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Use scientific notation | |

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Radicals and Rational Exponents | |

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Evaluate square roots | |

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Simplify expressions of the form Ouml;a 2 | |

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Use the product rule to simplify square roots | |

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Use the quotient rule to simplify square roots | |

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Add and subtract square roots | |

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Rationalize denominators | |

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Evaluate and perform operations with higher roots | |

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Understand and use rational exponents | |

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Polynomials | |

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Understand the vocabulary of polynomials | |

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Add and subtract polynomials | |

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Multiply polynomials | |

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Use Foil in polynomial multiplication | |

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Use special products in polynomial multiplication | |

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Perform operations with polynomials in several variables | |

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Mid-Chapter Check Point | |

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Factoring Polynomials | |

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Factor out the greatest common factor of a polynomial | |

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Factor by grouping | |

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Factor trinomials | |

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Factor the difference of squares | |

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Factor perfect square trinomials | |

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Factor the sum and difference of two cubes | |

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Use a general strategy for factoring polynomials | |

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Factor algebraic expressions containing fractional and negative exponents | |

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Rational Expressions | |

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Specify numbers that must be excluded from the domain of rational expressions | |

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Simplify rational expressions | |

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Multiply rational expressions | |

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Divide rational expressions | |

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Add and subtract rational expressions | |

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Simplify complex rational expressions | |

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Equations and Inequalities | |

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Graphs and Graphing Utilities | |

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Plot points in the rectangular coordinate system | |

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Graph equations in the rectangular coordinate system | |

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Interpret information about a graphing utilityrsquo;s viewing rectangle or table | |

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Use a graph to determine intercepts | |

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Interpret information given by graphs | |

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Linear Equations and Rational Equations | |

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Solve Linear equations in one variable | |

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Solve linear equations containing fractions | |

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Solve rational equations with variables in the denominators | |

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Recognize identities, conditional equations, and inconsistent equations | |

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Models and Applications | |

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Use linear equations to solve problems | |

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Complex Numbers | |

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Add and subtract complex numbers | |

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Multiply complex numbers | |

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Divide complex numbers | |

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Perform operations with square roots of negative numbers | |

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Quadratic Equations | |

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Solve quadratic equations by factoring | |

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Solve quadratic equations by the square root property | |

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Solve quadratic equations by completing the square | |

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Solve quadr | |