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

rule 1:
rule 2:
rule 3:
rule 4:
rule 5:
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.

Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
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.

input
output
$- 2$
$4$
$- 1$
$1$
$0$
$0$
$1$
$1$
$2$
$4$
input
output
$4$
$- 2$
$1$
$- 1$
$0$
$0$
$1$
$1$
$4$
$2$
input
output
$1$
$0$
$2$
$0$
$3$
$0$
input
output
$0$
$1$
$0$
$2$
$0$
$3$

input	output
$- 2$	$4$
$- 1$	$1$
$0$	$0$
$1$	$1$
$2$	$4$

input	output
$4$	$- 2$
$1$	$- 1$
$0$	$0$
$1$	$1$
$4$	$2$

input	output
$1$	$0$
$2$	$0$
$3$	$0$

input	output
$0$	$1$
$0$	$2$
$0$	$3$