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Functions and Linear Equations

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Functions and Linear Equations 8th grade 

Function machine with input and output arrows

📚 Part 1: Understanding Functions

I can identify a function from examples and explain why functions have only one output per input.

1. Look at each input-output example. Circle if it's a function or not a function.

Example A: Input 2 → Output 5, Input 3 → Output 6, Input 4 → Output 7

Function

Not a Function

Example B: Input 1 → Output 3, Input 1 → Output 5, Input 2 → Output 7

Function

Not a Function

2. Complete this sentence about functions:

A function gives exactly _______ output for each input.

3. Think of a function machine that adds 4 to any number you put in. Fill in the missing outputs:

Input 1 → Output _____

Input 3 → Output _____

Input 5 → Output _____

✏️ Part 2: Linear Equations y = mx + b

I can identify parts of the equation y = mx + b and explain what slope and y-intercept mean.

4. Look at the equation y = 2x + 3. Match each part to its name:

In the equation y = 2x + 3:

The number 2 is the _____________ (slope/y-intercept)

The number 3 is the _____________ (slope/y-intercept)

5. What does the slope tell us about a line?

How steep the line is

Where the line starts

The color of the line

6. For the equation y = x + 5, what is the y-intercept?

Answer: _____

🔧 Part 3: Solving One-Step Equations

I can solve one-step equations and explain why both sides must stay balanced.

7. Solve these equations. Show your work in the box below each one:

a) x + 4 = 9

x = _____

b) y - 3 = 7

y = _____

8. Why do we need to do the same thing to both sides of an equation?
9. Complete this table for the equation y = x + 2:

When x = 1, y = _____

When x = 2, y = _____

When x = 4, y = _____

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