Grade 8 Quadratic Equations Worksheet
A worksheet for 8th-grade students covering quadratic equations, graphing parabolas, identifying roots, and solving basic quadratic problems.
Includes
Standards
Topics
Quadratic Equations Practice
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following is a quadratic equation?
2x + 5 = 0
x² - 3x + 2 = 0
3x - 7 = 5x
x³ + 4 = 0
2. What is the shape of the graph of a quadratic equation?
Straight line
Circle
Parabola
Ellipse
3. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared but no term with a higher power. The standard form is ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ .
4. The solutions to a quadratic equation are also known as the or x-intercepts.
5. The vertex of a parabola is always the highest point on the graph.
True
False
6. A quadratic equation can have at most two real solutions.
True
False
7. For the quadratic equation y = x² - 4x + 3, what are the x-intercepts? Show your work.
8. Plot the graph of the quadratic equation y = x² - 2x - 3 on the coordinate plane below.