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Addition of Functions (Ages 12-14) Worksheets (Festival themed)

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Definition:

What is a Function?

→ It is an expression, law, or rule that defines the relationship between a variable and another variable. One of the variables is the independent variable and one is the dependent variable.

Summary:

This is an example of function: 

f(x)

Where:
f(x) = dependent variable
x = independent variable

What are independent and dependent variables?

Independent variable:
It is the variable that represents a certain number. For example, x can be equal to 3, y can be equal to 4, and so on.

Dependent variable:
It is the variable that represents the value of those that is being added, subtracted, multiplied, or divided. For example, f(x) = x+3(2), g(y) = 32/y.

How do we add functions?

We just add functions like how we add the variables, the constants, and the coefficients. For example, we are asked to add the given functions:
f(x) = 36x + 3, g(x) = 2x+5

First, we must rearrange the functions:
f(x) + g(x) = (36x + 3) + (2x + 5)

We then remove the parentheses, then we arrange them according to their variable.
36x + 2x + 5 + 3 

After arranging them, we can now add these!
36x + 2x + 5 + 3 = 38x + 8 

We should also simplify these to their lowest terms.
38x + 8 = 19x + 4

Therefore, 19x + 4 is the final answer. It’s easy, right? 

Addition of Functions Worksheets

This is a fantastic bundle which includes everything you need to know about Addition of Functions across 15+ in-depth pages. 

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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