MathematicsFreePrintable

Linear Equations Basics

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Linear Equations Basics worksheet preview

Linear Equations Basics

Linear equation graph illustration

📚 Part 1: Understanding Linear Equations

1. What is a linear equation?

A math sentence with an equal sign that makes a straight line when graphed

A math sentence that only uses addition

An equation with no variables

2. In the equation y = 3x + 2, what is the coefficient?

2

3

x

y

3. Which of these are variables? (Check all that apply)

x

5

y

10

4. If you earn $5 every hour, which equation shows your total earnings?

Let y = total earnings and x = number of hours

y = x + 5

y = 5x

y = 5 + x

✏️ Part 2: Solving Linear Equations

5. Solve y = 2x when x = 3

Answer: y = _______

6. Complete the table for y = x + 4
x (input) y (output)
1 _____
2 _____
3 _____
7. For the equation y = x + 1, when x = 5, what is y?

Show your work: ________________

Answer: y = _______

8. Explain in your own words what happens to y when x increases by 1 in the equation y = 3x.

🎯 Part 3: Real-World Applications

9. A pizza costs $8 plus $2 for each topping. Write a linear equation where y = total cost and x = number of toppings.

Equation: y = _______________

10. Using your equation from question 9, how much would a pizza cost with 3 toppings?

Answer: $ _______

11. Create your own linear equation and solve it for x = 2.

My equation: y = _______________

When x = 2, y = _______________

Explain what your equation represents in real life:

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