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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 | |