Quadratic equations

Incomplete forms, factoring, discriminant, quadratic formula, and sum and product

The Quadratic equations unit belongs to the Elementary algebra section of Math Mental and has 14 lessons: incomplete forms, factoring, discriminant, quadratic formula, and sum and product.

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Sample questions

In the lesson, numbers change every session and the solution appears after you answer.

$x^2 - 5x + 6 = 0$
Step by step
1. $\displaystyle \Delta = 25 - 24 = 1$
2. $\displaystyle x = \frac{5 \pm 1}{2}$
Answer $S = \{2, 3\}$
$\Delta:\; 2x^2 + 3x - 2 = 0$
Step by step
1. $\displaystyle \Delta = 3^2 - 4 \cdot 2 \cdot (-2)$
Answer $25$
$x^2 - 7x + 10 = 0$
Step by step
1. $\displaystyle S = -\frac{b}{a},\; P = \frac{c}{a}$
Answer $S = 7,\; P = 10$

Lessons in this unit

Incomplete: no x term Lesson, 8 questions
Incomplete: no constant term Lesson, 8 questions
Factoring Lesson, 8 questions
Perfect square trinomial Lesson, 8 questions
Discriminant Lesson, 8 questions
How many real roots Lesson, 8 questions
Quadratic formula Lesson, 8 questions
Rational roots Lesson, 8 questions
Irrational roots Lesson, 8 questions
Practice: quadratic formula Practice, 10 questions
Sum and product Lesson, 8 questions
Solving by sum and product Lesson, 8 questions
Quadratic word problems Lesson, 8 questions
Unit test 12 questions

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Sample questions

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Lessons in this unit

Your first lesson takes five minutes