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AP Precalculus — Unit 4: Additional Topics Available to Schools: 40 practice questions

40 original AP Precalculus questions on Unit 4: Additional Topics Available to Schools, each with an explanation and its source. Topics: 4.1 Parametric Functions, 4.2 Parametric Motion, 4.3 Parametric Motion: Rates, 4.4 Parametric Curves and Motion, 4.5 Implicit Relations, 4.6 Conic Sections, 4.8 Vectors, 4.9 Vector-Valued Motion. Two free samples are below. Try 5 more free, no sign-up.

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Two Unit 4: Additional Topics Available to Schools questions with explanations

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Q1 4.1 Parametric Functions

For the parametric equations x=2t−1 and y=t+3, what point is represented when t=2?

  1. (3,5)
  2. (3,3)
  3. (5,3)
  4. (−3,5)
Show the answer and explanation

Answer: A. Substitute t=2: x=2(2)−1=3 and y=2+3=5, so the ordered pair is (3,5).

Sources: College Board, AP Precalculus Course and Exam Description · College Board AP Central, AP Precalculus

Q2 4.1 Parametric Functions

Eliminate t from x=2t−1 and y=t+3. Which equation describes the resulting curve?

  1. y=(x+5)/2
  2. y=(x+7)/2
  3. y=2x+7
  4. y=(x−7)/2
Show the answer and explanation

Answer: B. Solve x=2t−1 for t: t=(x+1)/2. Substituting into y=t+3 gives y=(x+7)/2.

Sources: College Board, AP Precalculus Course and Exam Description · College Board AP Central, AP Precalculus

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