Additive and Multiplicative Relationships

Explore additive and multiplicative relationships with this Grade 6 math worksheet, featuring questions on patterns, equations, and real-world problems.

Grade 6 Math Number SenseAdditive and Multiplicative Relationships

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTableTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.6CCSS.MATH.CONTENT.6.RP.A.1CCSS.MATH.CONTENT.6.RP.A.3

Topics

mathgrade 6additivemultiplicativerelationshipspatternsequations

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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.