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Additive and Multiplicative Relationships Worksheet

Explore additive and multiplicative relationships in this Grade 12 math worksheet, covering linear equations, growth patterns, and real-world applications.

Grade 12 Math Number SenseAdditive and Multiplicative Relationships
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1.ACCSS.MATH.CONTENT.HSA.CED.A.2

Topics

Grade 12MathAlgebraFunctionsRelationships
8 sections · Free to use · Printable
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Additive and Multiplicative Relationships

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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. Describe the key difference between an additive relationship and a multiplicative relationship. Provide an example of each.

2. In the equation y = x + 7, the relationship between x and y is  .

3. In the equation y = 5x, the relationship between x and y is  .

4. If a population doubles every hour, this represents a   relationship.

5. A taxi charges a flat fee of $3 plus $2 for every mile driven. Which type of relationship best describes the total cost (C) based on the number of miles (m) driven?

a

Additive

b

Multiplicative

c

Both additive and multiplicative

d

Neither

6. Plot the points for the equation y = 2x + 1 on the graph below. Is this an additive or multiplicative relationship? Explain.

0246810246810

7. A linear function always represents an additive relationship.

T

True

F

False

8. A bacteria population starts with 100 cells and triples every hour. Write an equation that models this growth. Is this an additive or multiplicative relationship? Justify your answer.