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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.

Grade 9 Math Number SenseAdditive and Multiplicative Relationships
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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSF.BF.A.1
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Additive and Multiplicative Relationships

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Date:

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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?

a

y = 3x

b

y = x + 5

c

y = x²

d

y = x / 2

2. In a multiplicative relationship, if x is doubled, what happens to y?

a

y is increased by 2

b

y is doubled

c

y is halved

d

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.

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7. The graph of an additive relationship always passes through the origin (0,0).

T

True

F

False

8. A constant ratio between corresponding x and y values indicates a multiplicative relationship.

T

True

F

False