Even & odd polynomials
- Description
- Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
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Given the formula of a polynomial function, determine whether that function is even, odd, or neither. |
Timed Test
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Evaluate logarithms: change of base rule
- Description
- Evaluate any logarithm in a calculator with the use of the change of base formula. Example: Evaluate log₅(100).
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Evaluate any logarithm in a calculator with the use of the change of base formula. Example: Evaluate log₅(100). |
Timed Test
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Evaluate inverse trig functions
- Description
- Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.
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Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value. |
Timed Test
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Modeling with sinusoidal functions
- Description
- Given the description of a real-world relationship, find the sinusoidal function that models it.
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Given the description of a real-world relationship, find the sinusoidal function that models it. |
Timed Test
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Simplify rational expressions: common binomial factors
- Description
- Factor the numerator and the denominator of a rational expression and cancel out common binomial terms.
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Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. |
Timed Test
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Use the logarithm change of base rule
- Description
- Find the logarithmic variable expression that is equivalent to a given logarithmic expression.
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Find the logarithmic variable expression that is equivalent to a given logarithmic expression. |
Timed Test
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Simplify rational expressions (advanced)
- Description
- Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms.
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Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms. |
Timed Test
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Solve sinusoidal equations (basic)
- Description
- Solve equations of the form sin(x)=d or cos(x)=d where d is any number.
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Solve equations of the form sin(x)=d or cos(x)=d where d is any number. |
Timed Test
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Solve square-root equations (basic)
- Description
- Solve square-root equations by taking the square of both sides.
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Solve square-root equations by taking the square of both sides. |
Timed Test
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Using the trig angle addition identities
- Description
- Find the trig values of sums of angles whose individual trig values are known.
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Find the trig values of sums of angles whose individual trig values are known. |
Timed Test
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Solve exponential equations using logarithms: base-10 and base-e
- Description
- Solve exponential equations that have 10 or e at the base of the exponential term.
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Solve exponential equations that have 10 or e at the base of the exponential term. |
Timed Test
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Find trig values using angle addition identities
- Description
- Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles.
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Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles. |
Timed Test
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Multiply & divide rational expressions (basic)
- Description
- Example: Multiply and simplify (6x³/5)*(2/3x).
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Example: Multiply and simplify (6x³/5)*(2/3x). |
Timed Test
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Solve sinusoidal equations
- Description
- Solve equations of the form a*sin(bx+c)=d or a*cos(bx+c)=d where a, b, c, and d are any number.
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Solve equations of the form a*sin(bx+c)=d or a*cos(bx+c)=d where a, b, c, and d are any number. |
Timed Test
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Solve exponential equations using logarithms: base-2 and other bases
- Description
- Solve exponential equations that have 2 or other numbers at the base of the exponential term.
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Solve exponential equations that have 2 or other numbers at the base of the exponential term. |
Timed Test
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Solve square-root equations
- Description
- Solve square-root equations by first arranging them and then taking the square of both sides.
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Solve square-root equations by first arranging them and then taking the square of both sides. |
Timed Test
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Exponential model word problems
- Description
- Solve word problems about exponential situations.
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Solve word problems about exponential situations. |
Timed Test
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Extraneous solutions of radical equations
- Description
- Practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations.
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Practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations. |
Timed Test
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Graphs of exponential functions
- Description
- Graph exponential functions and find the appropriate graph given the function.
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Graph exponential functions and find the appropriate graph given the function. |
Timed Test
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Radical functions & their graphs
- Description
- Given the formula of a square-root or a cube-root function, find the appropriate graph.
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Given the formula of a square-root or a cube-root function, find the appropriate graph. |
Timed Test
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