Last updated on Oct 23, 2026

Quadratic Inequalities (Grade 12 NSC Matric Mathematics): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Quadratic Inequalities

Practise the questions

10 questions from this quiz

Show

What makes quadratic inequalities different from quadratic equations?

Solutions are ranges, not specific values

Why must $a \neq 0$ in a quadratic inequality $ax^2 + bx + c > 0$ ?

To ensure we have a quadratic expression

What must you do to the inequality sign when multiplying an inequality by $-1$ ?

Reverse the inequality sign

Which methods can be used to find critical points in quadratic inequalities?

Factorisation, quadratic formula, or CTS

For $ax^2 + bx + c > 0$ , which intervals should you choose?

Intervals marked with + (positive)

How do $<$ and $>$ treat critical points compared to $\leq$ and $\geq$ ?

$<$ and $>$ exclude; $\leq$ and $\geq$ include

If $a > 0$ in $ax^2 + bx + c$ , which way does the parabola open?

Upward

For $ax^2 + bx + c < 0$ , where should the parabola be relative to the x-axis?

Below the x-axis

What is the solution to $x^2 < 25$ after finding critical points at $x = -5$ and $x = 5$ ?

$-5 < x < 5$

To solve $-x^2 \leq 3x - 3$ , what should you do first with the $-x^2$ term?

Multiply by $-1$ and flip the inequality

Explore Grade 12 NSC Matric Mathematics Revision Notes by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Model Answers by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Flashcards by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Exam Questions by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Join 100,000+ NSC Matric students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.

Quadratic Inequalities (Grade 12 NSC Matric Mathematics): Quizzes

Practise the questions

What makes quadratic inequalities different from quadratic equations?

Why must a≠0a \neq 0a=0 in a quadratic inequality ax2+bx+c>0ax^2 + bx + c > 0ax2+bx+c>0?

What must you do to the inequality sign when multiplying an inequality by −1-1−1?

Which methods can be used to find critical points in quadratic inequalities?

For ax2+bx+c>0ax^2 + bx + c > 0ax2+bx+c>0, which intervals should you choose?

How do <<< and >>> treat critical points compared to ≤\leq≤ and ≥\geq≥?

If a>0a > 0a>0 in ax2+bx+cax^2 + bx + cax2+bx+c, which way does the parabola open?

For ax2+bx+c<0ax^2 + bx + c < 0ax2+bx+c<0, where should the parabola be relative to the x-axis?

What is the solution to x2<25x^2 < 25x2<25 after finding critical points at x=−5x = -5x=−5 and x=5x = 5x=5?

To solve −x2≤3x−3-x^2 \leq 3x - 3−x2≤3x−3, what should you do first with the −x2-x^2−x2 term?

Explore Grade 12 NSC Matric Mathematics Revision Notes by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Model Answers by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Flashcards by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Explore Grade 12 NSC Matric Mathematics Exam Questions by Topics

Exponents and Surds

Algebra

Polynomials

Sequences and Series

Functions

Finance

Differential Calculus

Join 100,000+ NSC Matric students studying Quizzes with us.

Why must $a \neq 0$ in a quadratic inequality $ax^2 + bx + c > 0$ ?

What must you do to the inequality sign when multiplying an inequality by $-1$ ?

For $ax^2 + bx + c > 0$ , which intervals should you choose?

How do $<$ and $>$ treat critical points compared to $\leq$ and $\geq$ ?

If $a > 0$ in $ax^2 + bx + c$ , which way does the parabola open?

For $ax^2 + bx + c < 0$ , where should the parabola be relative to the x-axis?

What is the solution to $x^2 < 25$ after finding critical points at $x = -5$ and $x = 5$ ?

To solve $-x^2 \leq 3x - 3$ , what should you do first with the $-x^2$ term?