Practice Steps To Solve A Quadratic Inequality (2)

Practise this section

9 questions

Flashcard drill
3 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
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Solve x² + 2x - 15 > 0
Show hintHide hint
Factor the expression first.
Question 2.
Solve x² - 4x + 4 ≤ 0
Show hintHide hint
Look for perfect square trinomial.
3Question 3.
What is the first step in solving a quadratic inequality?
- Move all terms to one side
- Find the roots
- Analyze sign changes
Show hintHide hint
Think about how to arrange the terms.
4Question 4.
True or False: An inequality of the form ax² + bx + c < 0 can have multiple solutions.
- True
- False
Show hintHide hint
Consider how quadratic graphs behave.
Question 5.
Solve the inequality 4x² - 12x + 9 ≤ 0 and describe the implications of the solution geometrically.
Show hintHide hint
What does the discriminant tell you about the roots?
Question 6.
For the inequality x² - 6x + 8 > 0, sketch the graph and indicate the solution set.
Show hintHide hint
How does the graph behave around the roots?

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