Practice Solution Method (8.3) - Quadratic Inequalities - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Solve $x^2 + 2x - 15 > 0$ .
Show hintHide hint
Find the roots and analyze test points.
Question 2.
Solve $x^2 - 4x + 4 \leq 0$ .
Show hintHide hint
What happens when you have a perfect square?
3Question 3.
What is the first step in solving a quadratic inequality?
- Identify the roots
- Rearrange to standard form
- Analyze sign changes
Show hintHide hint
Think of the general structure!
4Question 4.
True or False: A quadratic inequality can have no solution if the discriminant is negative.
- True
- False
Show hintHide hint
What can you say about the behavior of the quadratic?
Question 5.
If given $3x^2 - 2x + 1 > 0$ , describe the implications of its discriminant.
Show hintHide hint
What does a negative discriminant tell you about real solutions?
Question 6.
Given the quadratic inequality $-2x^2 + 4x - 1 \, \geq 0$ , find and analyze the roots.
Show hintHide hint
Don't forget to check the sign of 'a' to understand the parabola's opening!

4 more questions in this section. Enroll free to practise them all.