Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including identifying proportionality, calculating constants of proportionality, and solving real-world problems.
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Proportional Equations Practice
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following equations represents a proportional relationship?
y = 3x + 2
y = x - 5
y = (1/2)x
y = x^2
2. If a car travels 150 miles in 3 hours, what is its constant of proportionality (speed)?
30 mph
40 mph
50 mph
60 mph
3. In a proportional relationship, the ratio of y to x is always . This value is known as the constant of .
4. The equation for a proportional relationship can be written as y = kx, where k represents the .
5. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how much sugar do you need? Explain your reasoning.
6. All linear equations represent proportional relationships.
True
False
7. Plot the following points on the graph and determine if they represent a proportional relationship. Explain your answer.
(0,0), (1,2), (2,4), (3,6)
Match each definition with its correct term.
A. A relationship where two quantities vary directly with each other.
1. Constant of Proportionality
B. The constant ratio between two proportional quantities.
2. Proportional Relationship