Mixed Quadratic Equations Worksheet

This mixed quadratic equations worksheet combines factoring, the quadratic formula, and completing the square in one printable review. It includes 16 randomized questions and an answer key on page 2.

What Does This Worksheet Cover?

This worksheet is designed for mixed practice across the three major methods for solving quadratic equations. Students can review when to factor, when to use the quadratic formula, and when completing the square is the clearest method.

How to Approach Mixed Quadratic Problems

1. Check whether the equation can be factored easily.
2. If not, decide whether the quadratic formula or completing the square is more efficient.
3. Solve carefully and check your results when possible.

Example

Solve $x^2 - 9 = 0$

This factors as $(x - 3)(x + 3) = 0$.

So the solutions are $x = 3$ and $x = -3$.

FAQ

Q: Do I have to use the same method for every problem?
A: No. Mixed quadratic practice is about choosing the method that fits the equation best.

Q: What if more than one method works?
A: That is normal. Some quadratic equations can be solved using more than one method, but one method is often faster or cleaner than the others.