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WorksheetsSlope/Rate of Change practice (not hw), just Unit 3 review
Total questions: 21
Worksheet time: 1hrs 17mins
Benjamin, Elijah, and Rohan were conducting an experiment to measure Mrs. Gordon's walking speed. They found that from 0 to 2 seconds, she covered a certain distance. What was Mrs. Gordon's rate during this time period?
2.5 feet per second
.4 feet per second
5 feet per second
.2 feet per second
Ava, Abigail, and Ethan are on a mountain climbing expedition. After 2 hours, they reach an altitude of 400 feet. After 6 hours, they are at an altitude of 700 feet. What is their average rate of change in altitude?
200
150
300
75
Olivia, Mia, and David are studying the graph of a car's movement over time. What type of slope does the graph have if the car is at rest?
Positive
Negative
Zero Slope
Undefined
Pete, Benjamin, Aria, and Arjun were comparing their growth charts. They noticed that Pete's height increased significantly between the ages of 3 and 5. Can you find the average rate of change of Pete's height from 3 years old to 5 years old?
2 inches per year
8 inches per year
2 years
4 inches per year
Samuel, David, and Aiden are running a race. Who has the greatest rate of change in their speed?
Samuel
Aiden
James and Ava are comparing the speed of their cars. Whose car has the greater rate of change in speed?
James
Ava
Kai and Benjamin are standing at two different points on a straight road. Kai is at point (5, -10) and Benjamin is at point (5, -4). What is the slope of the road?
undefined
0
- 14/10
10/14
Samuel, Isla, and Luna are measuring the slope of a hill. Which of the following methods can they use to find the rate of change?
change in y over change in x
rise over run
subtract y coordinates over subtract x coordinates
all of the above
Evelyn, Ethan, and Maya are comparing the distances Tommy ran during different time intervals. During which time interval did Tommy's running distance increase at the greatest rate?
28 - 42
42 - 64
64 - 78
78 - 97
Oliver, Maya, and Benjamin are analyzing the average movie ticket prices in the US from 1990 to 2010. They have a table and a graph to help them. Based on this information, what value is closest to the average rate of change for 1990 - 2010?
$0.03
$0.18
$1.48
$3.67
During a snowstorm, Rohan, Benjamin, and Anika decided to measure the total snowfall accumulated at the end of each hour. They recorded their results in the table below. What is the approximate average rate of change of the snowfall between 1 p.m. and 6 p.m.?
0.7 inch/hour
0.9 inch/hour
1.1 inch/hour
1.4 inch/hour
Aria, Benjamin, and Avery are studying for a math test. They come across a graph. Which of these lines on the graph that they are studying has a slope of -3?
Line A
Line B
Line C
Line D
Elijah is driving a car at a constant speed. Olivia noticed that for every 40 seconds, Elijah covers a distance of 1 mile. What is the rate of change of Elijah's position with respect to time?
80 miles/hour
20 miles/hour
40 miles/hour
160 miles/hour
David is helping James to understand the concept of slope and y-intercept. They come across the equation: y = 3/2x + 3. Can you help William determine the slope and y-intercept from this equation?
slope: 5 y-intercept: (0,3)
slope: 3/2 y-intercept: (0,3)
slope: 4 y-intercept: (0,3/2)
slope: 1/5 y-intercept: (0,5)
Zoe, Emma, and William were observing the rainfall in their city. They noticed that the rain was falling at a certain rate. Can you guess at what rate the rain was falling?
2 cm per hour
1/4 cm per hour
1/2 cm per hour
4 cm per hour
Grace, Oliver, and Mason are planning to rent a shared workspace. If they are to split the cost equally, what is the constant rate of change for each person's monthly payment?
Not here.
$80 per month.
$82 per month.
$41 per month.
Mason and Daniel are standing at two different points in a field. Mason is standing at point (1, -19) and Daniel is standing at point (-2, -7). If they start moving towards each other, find the rate of their change in position. Write your answer as a fraction in simplest form (no mixed numbers).
(a)
Zoe and David are participating in a drone race. Zoe's drone is at the point (19, -16) and David's drone is at the point (-7, -15). Find the rate of change between the two drones. Write your answer as a fraction in simplest form (no mixed numbers).
(a)
Liam and Hannah are standing at two different points in a park. Liam is standing at point (3,0) and Hannah is standing at point (-11, -15). If they start moving towards each other at the same speed, find the rate of change between their positions. Write your answer as a fraction in simplest form (no mixed numbers).
(a)
