Grade 9 Math: Rate of Change Worksheet
This worksheet focuses on understanding and calculating the rate of change from tables, graphs, and equations for Grade 9 students.
Includes
Standards
Topics
Rate of Change
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
Section 1: Understanding Rate of Change
1. Define 'rate of change' in your own words. Provide an example from real life.
Section 2: Calculating Rate of Change from Tables
2. The table below shows the distance a car travels over time.
Time (hours)
Distance (miles)
0
0
1
60
2
120
3
180
What is the rate of change of distance with respect to time?
Section 3: Rate of Change from Graphs
3. The graph shows the temperature of a liquid over time. What is the rate of change (slope) from point (0, 10) to (2, 30)?
5 degrees/minute
10 degrees/minute
15 degrees/minute
20 degrees/minute
Section 4: Rate of Change from Equations
4. Find the rate of change for the linear function y = 3x - 7.
5. A function is given by f(x) = -2x + 5. What is the rate of change?
Section 5: True or False
6. A positive rate of change indicates that the dependent variable is decreasing as the independent variable increases.
True
False
7. The rate of change is also known as the slope of a line.
True
False