Additive and Multiplicative Relationships Worksheet
Explore additive and multiplicative relationships with this Grade 9 math worksheet, featuring questions on patterns, equations, and real-world scenarios.
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Standards
Additive and Multiplicative Relationships
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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 an additive relationship?
y = 3x
y = x + 5
y = x²
y = x / 2
2. In a multiplicative relationship, if x is doubled, what happens to y?
y is increased by 2
y is doubled
y is halved
y remains the same
3. In an additive relationship, the change between consecutive y-values is .
4. A multiplicative relationship can be represented by an equation of the form y = .
5. Describe the key difference between an additive and a multiplicative relationship. Provide an example for each.
6. Plot the points for the additive relationship y = x + 2 on the coordinate plane. Then, plot the points for the multiplicative relationship y = 2x on the same plane.
7. The graph of an additive relationship always passes through the origin (0,0).
True
False
8. A constant ratio between corresponding x and y values indicates a multiplicative relationship.
True
False
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