Unit Rate and Slope Mastery

This worksheet focuses on understanding and applying unit rates and slopes in various contexts, including real-world problems and graphical representations, suitable for Grade 11 mathematics.

Grade 11 Math Percents, Ratios, and RatesUnit Rate and Slope

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Includes

Multiple Choice3 Short AnswerTrue / FalseFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.HSF.LE.A.1CCSS.MATH.CONTENT.HSF.LE.B.5

Topics

unit rateslopelinear equationsgrade 11 math

9 sections · Free to use · Printable

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Unit Rate and Slope Mastery

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Date:

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Read each question carefully and provide your best answer. Show all your work for full credit.

1. A car travels 240 miles in 4 hours. What is its unit rate (speed)?

40 miles per hour

60 miles per hour

80 miles per hour

100 miles per hour

2. A recipe calls for 3 cups of flour for every 2 cups of sugar. What is the unit rate of flour to sugar?

0.67 cups flour per cup sugar

1.5 cups flour per cup sugar

2 cups flour per cup sugar

3 cups flour per cup sugar

3. A store sells 5 pounds of apples for $7.50. What is the price per pound?

4. Slope is defined as 'rise over run'.

True

False

5. A horizontal line has an undefined slope.

True

False

6. Find the slope of the line that passes through the points (3, 5) and (7, 13).

7. In the equation y = mx + b, 'm' represents the and 'b' represents the .

8. Plot the points (1, 2) and (4, 8) on the coordinate plane below. Then, draw a line connecting them and determine the slope of the line.

Slope:

9. A cyclist travels at a constant speed. After 2 hours, she has covered 30 miles. After 5 hours, she has covered 75 miles. What is her unit rate (speed) and what does the slope of this relationship represent?