1.
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Solve single variable equations, including linear, absolute value,
quadratic, quadratic type, rational, polynomial, radical, exponential,
and logarithmic. (I, II, III)
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2.
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Use function notation. (I, II,III)
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3.
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State the domain and range of relations and functions. (I, II, III)
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4.
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Graph relations and functions. (I, II, III)
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5.
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Identify the equations of circles and parabolas. (I)
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6.
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Find the axis if symmetry, vertex, and intercepts of a quadratic
relation. (I)
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7.
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Use quadratic functions to model and solve real world problems
involving maxima and minima. (I)
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8.
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Find the center and radius of a circle. (I)
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9.
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Perform operations on and form compositions of functions and state the
domain of the resulting function. (I)
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10.
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Determine graphically and algebraically whether a function is
one-to-one, and find the equation for the inverse of a one- to-one
function. (I, III)
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11.
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Use translations and reflections to graph relations. (I, III)
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12.
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Find real and complex zeros of polynomial functions. (II)
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13.
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Find the vertical and horizontal asymptotes of the graph of a rational
function. (II)
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14.
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Use the properties of logarithms. (III)
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15.
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Solve linear and nonlinear systems of equations and inequalities. (IV,
V)
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16.
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Perform operations on matrices. (V)
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17.
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Explain the difference between arithmetic and geometric sequences and
series. (VI)
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18.
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Find a specified term of an arithmetic and a geometric sequence. (VI)
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19.
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Find the nth partial sum of an arithmetic and geometric series. (VI)
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20.
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Find the sum of an infinite geometric series. (VI)
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21.
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Explain the difference between combinations and permutations. (VI)
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22.
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Evaluate combinations and permutations. (VI)
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23.
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Use the binomial theorem. (VI)
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24.
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Model and solve real world problems. (I, II, III, IV, V, VI)
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