Practice Quadratic Inequalities (1.2) - Quadratic Inequalities - IB 10 Mathematics

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 the inequality x^2 + 2x − 15 > 0.
Show hintHide hint
Factor the quadratic expression.
Question 2.
Solve the inequality x^2 − 4x + 4 ≤ 0.
Show hintHide hint
Check for perfect squares.
3Question 3.
What is a quadratic inequality?
Show hintHide hint
Think about comparisons with quadratic expressions.
4Question 4.
True or False: A quadratic inequality can have no solution.
- True
- False
Show hintHide hint
Consider the nature of the roots.
Question 5.
A company's profit is modeled by P(x) = -2x^2 + 8x - 5. Determine when the profit is greater than zero.
Show hintHide hint
First find the x-intercepts by setting P(x) = 0.
Question 6.
An object is projected from a height of 20 meters given by the equation h(t) = −4.9t^2 + 20t + 20. Find when the object is above 25 meters.
Show hintHide hint
Solve for t using the quadratic formula after rearranging the inequality.

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