Unit Rate and Slope
This worksheet focuses on understanding and calculating unit rates and slopes in various real-world scenarios for 7th graders.
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Unit Rate and Slope Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A unit rate describes how many units of the first type of quantity correspond to one unit of the type of quantity.
2. Slope is a measure of the of a line.
3. The formula for calculating slope (m) given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / ( ).
4. A car travels 240 miles in 4 hours. What is its unit rate (speed)?
40 miles per hour
50 miles per hour
60 miles per hour
80 miles per hour
5. Which of the following represents a unit rate?
$5 for 2 apples
100 meters in 10 seconds
3 songs per album
25 miles per gallon
6. A recipe calls for 3 cups of flour for every 2 cups of sugar. If you want to use 8 cups of sugar, how much flour do you need? What is the unit rate of flour per cup of sugar?
7. Find the slope of the line that passes through the points (2, 5) and (6, 13).
8. A steeper line on a graph indicates a greater rate of change.
True
False
9. If the slope of a line is zero, the line is vertical.
True
False
10. Plot the points (1, 2) and (4, 8) on the graph below. Then draw a line connecting them and find the slope of the line.