Additive and Multiplicative Relationships
Explore additive and multiplicative relationships with this Grade 6 math worksheet, featuring questions on patterns, equations, and real-world problems.
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Additive and Multiplicative Relationships
Name:
Date:
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Read each question carefully and provide the best answer. Show your work where necessary.
1. Which of the following describes an additive relationship?
y = 3x
y = x + 5
y = x / 2
y = x^2
2. If a recipe calls for 2 cups of flour for every 1 cup of sugar, what kind of relationship exists between flour and sugar?
Additive
Multiplicative
Both additive and multiplicative
Neither
3. In an additive relationship, the output is found by a constant value to the input.
4. In a multiplicative relationship, the output is found by the input by a constant factor.
5. Describe the key difference between an additive relationship and a multiplicative relationship. Provide an example for each.
6. Analyze the table below. Is the relationship between x and y additive or multiplicative? Explain your reasoning.
| x | y |\n|---|---|\n| 1 | 4 |\n| 2 | 8 |\n| 3 | 12 |\n| 4 | 16 |
7. The equation y = x + 0 represents an additive relationship.
True
False
8. All linear relationships are also multiplicative relationships.
True
False
9. A plant grows 2 cm each week. If it started at 10 cm tall, how tall will it be after 4 weeks? Write an equation to represent this relationship.
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