Magnitude of vectors
- Description
- Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points.
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Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points. |
Timed Test
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Analyze scalar multiplication
- Description
- Match vectors to images based on scalars to show that you understand scalar multiplication.
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Match vectors to images based on scalars to show that you understand scalar multiplication. |
Timed Test
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Unit vectors
- Description
- Find a unit vector in the direction of a given vector.
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Find a unit vector in the direction of a given vector. |
Timed Test
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Absolute value of complex numbers
- Description
- Given a complex number in the form a+bi, find its absolute value.
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Given a complex number in the form a+bi, find its absolute value. |
Timed Test
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Add & subtract vectors
- Description
- Add and subtract vectors given in component form.
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Add and subtract vectors given in component form. |
Timed Test
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Combined vector operations
- Description
- Use scalar multiplication and addition or subtraction of vectors to create a new vector.
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Use scalar multiplication and addition or subtraction of vectors to create a new vector. |
Timed Test
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Recognize direct & inverse variation
- Description
- Given a few two-variable equations, find those that show direct or inverse variation.
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Given a few two-variable equations, find those that show direct or inverse variation. |
Timed Test
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Angle of complex numbers
- Description
- Given a complex number of the form a+bi, find its angle.
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Given a complex number of the form a+bi, find its angle. |
Timed Test
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Graph a circle from its standard equation
- Description
- Given the standard form equation of a circle, graph the circle. For example, graph the circle who's equation is (x+5)²+(y+2)²=4.
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Given the standard form equation of a circle, graph the circle. For example, graph the circle who's equation is (x+5)²+(y+2)²=4. |
Timed Test
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Nested fractions
- Description
- Simplify rational expressions that contain rational expressions within their numerators or denominators.
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Simplify rational expressions that contain rational expressions within their numerators or denominators. |
Timed Test
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Equations with two rational expressions
- Description
- Solve advanced rational equations with multiple expressions.
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Solve advanced rational equations with multiple expressions. |
Timed Test
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Vector components from magnitude & direction
- Description
- Take a vector given in magnitude and direction form and convert it to component form.
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Take a vector given in magnitude and direction form and convert it to component form. |
Timed Test
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Distance of complex numbers
- Description
- Given two complex numbers (either algebraically or graphically), find their distance.
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Given two complex numbers (either algebraically or graphically), find their distance. |
Timed Test
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End behavior of rational functions
- Description
- Given a rational function, determine how it behaves as x approaches +∞ or -∞.
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Given a rational function, determine how it behaves as x approaches +∞ or -∞. |
Timed Test
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Complex numbers from absolute value & angle
- Description
- Given the absolute value and the angle of a complex number, express the number in the form a+bi.
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Given the absolute value and the angle of a complex number, express the number in the form a+bi. |
Timed Test
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Partial fraction expansion
- Description
- Represent a complicated rational fraction as a sum of simpler fractions using partial fraction expansion.
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Represent a complicated rational fraction as a sum of simpler fractions using partial fraction expansion. |
Timed Test
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Write standard equation of a circle
- Description
- Given the graph of a circle or its features, find its standard equation.
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Given the graph of a circle or its features, find its standard equation. |
Timed Test
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Features of a circle from its expanded equation
- Description
- Find the center and radius of a circle given the equation in expanded form.
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Find the center and radius of a circle given the equation in expanded form. |
Timed Test
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Midpoint of complex numbers
- Description
- Given two complex numbers (either algebraically or graphically), find their midpoint.
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Given two complex numbers (either algebraically or graphically), find their midpoint. |
Timed Test
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Rational function points of discontinuity
- Description
- Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.
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Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities. |
Timed Test
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