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

Looking for the best way to teach students about the addition of functions?

This premium worksheet bundle contains 10 activities to challenge your students and help them understand the addition of functions.

## 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.

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?