Dependent Variables in Algebra
Explore the concept of dependent variables in algebraic equations and functions with this Grade 11 math worksheet.
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Dependent Variables in Algebra
Name:
Date:
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. In the equation y = 3x + 5, which variable is the dependent variable?
x
y
3
5
2. The cost of a taxi ride (C) is calculated by a base fare plus a charge per mile (m) driven. Which variable is dependent?
C (cost)
m (miles)
base fare
charge per mile
3. In a functional relationship, the dependent variable's value upon the independent variable's value.
4. The output of a function is always the variable.
5. Identify the independent and dependent variables in the following scenario: The amount of fertilizer (F) applied to a plant affects the height (H) of the plant.
6. Write a real-world example of a relationship where one quantity depends on another, and clearly state which is the independent and dependent variable.
7. The dependent variable is typically plotted on the x-axis of a graph.
True
False
8. In the function f(x) = x^2, f(x) is the independent variable.
True
False
9. Consider the function y = 2x - 1. Create a table of values for x from -2 to 2, and then plot these points on the graph below. Label your axes.
x | y
---|---
-2 |
-1 |
0 |
1 |
2 |