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Precalculus Practice Test: answer key

Every answer, with a link to its step-by-step solution

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#AnswerLessonSolution
1v = (3, 4)Vector from two points / magnitudeSolved step by step
2v = (4, −3)Vector from two points / magnitudeSolved step by step
3v = (5, 2)Vector from two points / magnitudeSolved step by step
4(2, 2)Adding, subtracting, × a numberSolved step by step
5(3, −2)Adding, subtracting, × a numberSolved step by step
6(−1, 7)Adding, subtracting, × a numberSolved step by step
7AB = b − aVector geometrySolved step by step
8BM = 12a − 12bVector geometrySolved step by step
9BP = 13a − 13bVector geometrySolved step by step
103√2 and θ = 45°Magnitude and direction, unit vectorSolved step by step
11u = (0, −1)Magnitude and direction, unit vectorSolved step by step
12u = (817, 1517)Magnitude and direction, unit vectorSolved step by step
1310Dot product, angle between two vectorsSolved step by step
140Dot product, angle between two vectorsSolved step by step
150°Dot product, angle between two vectorsSolved step by step
16A −2ParabolaSolved step by step
17D 2ParabolaSolved step by step
182ParabolaSolved step by step
19vertices = (−5, 0) and (5, 0)EllipseSolved step by step
20vertices = (0, −3) and (0, 3)EllipseSolved step by step
21vertices = (−1, −6) and (−1, 0)EllipseSolved step by step
22vertices = (−4, 0) and (4, 0)HyperbolaSolved step by step
23vertices = (−2, 0) and (2, 0)HyperbolaSolved step by step
24vertices = (1, 0) and (5, 0)HyperbolaSolved step by step
251Conics from the general formSolved step by step
26D 16Conics from the general formSolved step by step
271Conics from the general formSolved step by step
28(x, y) = (2, 2√3)Polar coordinatesSolved step by step
29(x, y) = (2√2, −2√2)Polar coordinatesSolved step by step
301Polar coordinatesSolved step by step
311 + √3 iPolar form of complex numbers, De Moivre's theoremSolved step by step
32B −64Polar form of complex numbers, De Moivre's theoremSolved step by step
338iPolar form of complex numbers, De Moivre's theoremSolved step by step
34y = 2x − 2Parametric equationsSolved step by step
35y = x2 − 3Parametric equationsSolved step by step
361Parametric equationsSolved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.