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Functions and Linear Equations

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Functions and Linear Equations worksheet preview

Functions and Linear Equations

Function machine with input and output arrows

📚 Part 1: Understanding Functions

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

1. Look at each input-output machine. Circle whether it is a function or not a function.

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

Function

Not a Function

Machine B: Input 1 → Output 3, Input 1 → Output 5, Input 2 → Output 4

Function

Not a Function

2. A vending machine gives you one snack for each dollar. Is this a function?

Yes, because each input has exactly one output

No, because you can get different snacks

3. Complete this sentence: A function gives _______ output for each input.

Answer: _______________

🔢 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

What is the slope (m)? _______

What is the y-intercept (b)? _______

5. Match each part of y = mx + b to its meaning:

m (slope) means: _________________________

b (y-intercept) means: ____________________

Word bank: starting point on the graph, how steep the line is

6. If a ramp has a slope of 3, the ramp is:

Very steep

Not very steep

Flat

⚖️ Part 3: Solving One-Step Equations

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

7. Solve: x + 4 = 9

Answer: x = _______

8. Solve: y - 3 = 7

Answer: y = _______

9. When solving x + 5 = 12, what should you do to both sides?

Add 5 to both sides

Subtract 5 from both sides

Multiply both sides by 5

10. Explain why we do the same thing to both sides of an equation:

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