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Every complex number has the form a + bi with a and b real.
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Add and subtract complex number using commutative and associative properties.
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Multiply complex number using commutative and associative properties.
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Solve quadratic equations with real solution by factoring.
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Solving quadratic equations with real and and complex solutions by taking square roots, and completing the square.
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Write complex solutions in a ± bi form.
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Solve a system containing one linear equation and one quadratic equation algebraically and by graphing.
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Solving a system of linear equations containing 3 variables requires 3 linear equations using substitution and/or elimination methods.
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Distinguish between recursive and explicit formulas.
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Represent geometric and arithmetic sequences recursively.
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Represent geometric and arithmetic sequences with explicit formulas. Translate between recursive form and explicit form of geometric and arithmetic sequences.
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Series as a sum of a sequence.
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Derive or explain the derivation of the formula for the sum of a finite geometric series.
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Use the formula for the sum of a finite geometric series to solve problems.
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Rewrite expressions containing rational exponents into radical form.
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Rewrite expressions containing radical notation into exponential expressions containing rational exponents. Properties of rational exponents are used to simplify and create equivalent forms of numerical expressions.
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Rational exponents can be written as radicals, and radicals can be written as rational exponents.
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Rewrite expressions containing rational exponents into radical form.
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Rewrite expressions containing radical notation into exponential expressions containing rational exponents. Properties of rational exponents are used to simplify and create equivalent forms of numerical expressions.
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Rational exponents can be written as radicals, and radicals can be written as rational exponents.
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