Proportional Equations Worksheet
This worksheet focuses on solving and understanding proportional equations for Grade 11 math students.
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Standards
Topics
Proportional Equations Practice
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Read each question carefully and solve for the unknown variable. Show all your work for full credit.
1. In a proportional relationship, the ratio between two quantities is always .
2. The graph of a proportional relationship is a straight line that passes through the .
3. If y varies directly with x, the equation can be written as y = , where k is the constant of proportionality.
1. Which of the following equations represents a proportional relationship?
y = 2x + 1
y = x^2
y = 5x
y = 3/x
2. If a car travels 240 miles in 4 hours, what is its constant of proportionality (speed) in miles per hour?
40 mph
50 mph
60 mph
70 mph
1. The cost of apples is directly proportional to their weight. If 3 pounds of apples cost $4.50, how much would 5 pounds of apples cost?
2. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 5 cups of flour, how much sugar do you need?
1. If a relationship is proportional, its graph will always pass through the origin (0,0).
True
False
2. In the equation y = kx, 'k' represents the constant of proportionality.
True
False
Plot the following points and determine if they represent a proportional relationship. If so, write the equation.
Points: (1, 3), (2, 6), (3, 9)
Equation: