Quadratic Mastery Checklist

Rate your confidence by checking the boxes below as you complete the 20 practice questions.

I can identify \(a\), \(b\), and \(c\) even when \(b\) or \(c\) are negative.

I can rearrange an equation to make it equal zero (Standard Form).

I remember that squaring a negative number (e.g., \(-4^2\)) results in a positive on my calculator.

I can expand brackets like \(x(x+5)\) before solving.

I understand why some equations have only 1 solution (Discriminant = 0).

Final Challenge

A rectangle has a length of \((x + 3)\) cm and a width of \(x\) cm. The total area is \(20 \text{ cm}^2\).

1. Show that: \(x^2 + 3x - 20 = 0\)

2. Solve for \(x\): (Give your answer to 2 decimal places).

Hint: Area = Length \(\times\) Width. Remember that \(x\) must be positive because it represents a physical length!

Progress: ___ / 20 Questions Correct