Additive and Multiplicative Relationships Worksheet

Explore additive and multiplicative relationships with this Grade 11 math worksheet, featuring exercises on sequences, functions, and real-world problems.

Grade 11 Math Number SenseAdditive and Multiplicative Relationships

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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong AnswerCustomMatching

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1CCSS.MATH.CONTENT.HSF.LE.A.1

Topics

mathgrade 11algebrafunctionssequences

9 sections · Free to use · Printable

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Additive and Multiplicative Relationships

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Which of the following represents an additive relationship?

y = 3x

y = x + 5

y = x^2

y = 2^x

2. In an additive relationship, the difference between consecutive terms is .

3. A multiplicative relationship involves a constant between consecutive terms.

4. Describe the key difference between an arithmetic sequence and a geometric sequence.

5. The function f(x) = 2x + 7 represents a multiplicative relationship.

True

False

6. A plant grows 3 cm every week. If its initial height is 10 cm, write an equation that models the plant's height (h) after 'w' weeks. Is this an additive or multiplicative relationship? Explain your reasoning.

7. Plot the first 5 terms of the sequence given by a_n = 2 * (3)^(n-1) on the coordinate plane below.

Match each type of sequence with its defining characteristic.

1. Arithmetic Sequence

a. Constant ratio between terms

2. Geometric Sequence

b. Constant difference between terms