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Factoring
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Order
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Description
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1
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Factor algebraic expressions completely.
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Inequalities
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Order
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Description
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1
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Solve linear inequalities.
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2
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Solve application problems with linear inequalities.
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Rational Expressions and Equations
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Order
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Description
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1
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Simplify rational expressions.
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2
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Multiply rational expressions.
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3
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Divide rational expressions.
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4
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Find least common multiples and denominators.
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5
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Add rational expressions.
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6
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Subtract rational expressions.
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7
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Solve rational equations.
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8
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Solve application problems using rational equations and proportions.
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9
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Simplify complex rational expressions.
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Linear Graphs, Slope, and Applications
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Order
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Description
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1
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Find the slope-intercept equation.
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2
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Graph using the slope and the y-intercept.
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3
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Recognize parallel and perpendicular lines.
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4
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Graph inequalities in two variables.
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5
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Solve application problems involving direct and inverse variation.
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Systems of Equations
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Order
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Description
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1
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Solve systems of equations in two variables using the graphing, substitution, and elimination methods.
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2
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Solve applications problems using systems of equations.
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3
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Solve applications problems involving motion using systems of equations.
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Radical Expressions and Equations
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Order
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Description
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1
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Multiply and simplify radical expressions.
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2
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Simplify quotients involving radical expressions.
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3
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Add and Subtract radical expressions.
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4
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Solve radical equations.
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5
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Solve applications with right triangles.
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6
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Simplify expressions involving higher roots, and rational numbers as exponents.
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Quadratic Equations
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Order
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Description
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1
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Solve quadratic equations using the principle of zero products.
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2
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Solve quadratic equations using the principle of square roots.
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3
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Solve quadratic equations by completing the square.
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4
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Solve quadratic equations using the quadratic formula.
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5
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Solve application problems using quadratic equations.
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6
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Graph quadratic equations.
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7
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Evaluate and graph functions.
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8
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Determine whether a graph is that of a function.
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9
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Solve applied problems involving functions and their graphs.
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