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AP Calculus AB Unit 1A1: Relations, Functions and Graphs — practice questions — page 4

Explore 94 free Unit 1A1: Relations, Functions and Graphs questions in AP Calculus AB Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1A1: Relations, Functions and Graphs questions and exercises with answers

Showing questions 91–94 of 94.

Solve for y: 2y + 5/3 = 26/3 − yRead the answer and worked solution →A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in one **second**?Read the answer and worked solution →What is the value of $\sin 30^{\circ}$?Read the answer and worked solution →What is the value of $\cos 60^{\circ}$?Read the answer and worked solution →

Worked practice questions

Solve for y: 2y + 5/3 = 26/3 − y

  1. y = 7
  2. y = 7/3
  3. y = 21
  4. y = 21/3
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Correct answer: B. y = 7/3

Bring y-terms left and constants right: 2y + y = 26/3 − 5/3, so 3y = 21/3 = 7. Therefore y = 7/3. Distractor y = 7 forgets to divide by 3.

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A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in one **second**?

  1. $6\pi$
  2. $360\pi$
  3. $12\pi$
  4. $720\pi$
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Correct answer: C. $12\pi$

360 rev/min = 6 rev/s. Each rev = $2\pi$ rad. **So $6 \cdot 2\pi = 12\pi$ rad/s.**

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What is the value of $\sin 30^{\circ}$?

  1. $\dfrac{1}{2}$
  2. $\dfrac{\sqrt{3}}{2}$
  3. $\dfrac{1}{\sqrt{2}}$
  4. $1$
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Correct answer: A. $\dfrac{1}{2}$

$\sin 30^{\circ} = \dfrac{1}{2}$. Standard angle.

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More Mathematics topics

Unit 3B: Implicit Differentiation and Inverse FunctionsUnit 3A: Chain Rule and Composite FunctionsUnit 1A3: Function Composition and InversesUnit 1A2: Trigonometric Functions & Inverse TrigUnit 2: Differentiation and Fundamental Derivative RulesUnit 6A: Indefinite Integrals & Fundamental TheoremUnit 1B3: Asymptotic Behavior and Infinite LimitsUnit 1B1: Limit Concepts and Graphical Limits