Lesson 2: Practice Problems

Problem 1

Here are several function rules. Calculate the output for each rule when you use -6 as the input.

R1: subtract 7, R2: square the input, R3: divide by 3, R4: divide the input into 3, R5: write pi, R6: find the volume of a cube where side length equal to the input in cm
  1. rule 1:

  2. rule 2:

  3. rule 3:

  4. rule 4:

  5. rule 5:

  6. rule 6:

Problem 2

A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning.

  1. Speed is a function of time.

  2. Time is a function of distance.

  3. Speed is a function of number of students racing.

  4. Time is a function of speed.

Problem 3 From Unit 4 Lesson 15

Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each. How many essay questions are on the test? Explain or show your reasoning.

Problem 4

These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not? Explain or show your reasoning.

  1. input

    output

  2. input

    output

  3. input

    output

  4. input

    output