Solve quadratic inequalities (a = 1)
Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
Play new resources video
Lesson details
Key learning points
- In this lesson, we will solve quadratic inequalities with an x² coefficient of 1 and express solutions using set notation.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
Loading...
3 Questions
Q1.
What is the solution set for x² ≥ 25?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211563%2Ftqmsxtggavsaztofbtcv.jpg&w=1920&q=75)
A
C
D
Q2.
What is the solution set for x² - 7 > 74?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211567%2Fcpmcm1z8bo8xuzxm6cvm.jpg&w=1920&q=75)
B
C
D
Q3.
What is the solution set for 2x² - 11 ≤ 61?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211594%2Fuju9mtfu8kibu43codwe.png&w=1920&q=75)
A
B
C
3 Questions
Q1.
What is the solution set for x² + x - 6 > 0?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707209381%2Fvhawijx8qsr5f7vx3zky.jpg&w=1920&q=75)
A
C
D
Q2.
What is the solution set for x² + 3x - 4 < 0?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707209383%2Fc1ozbouptiuvmo8gpjls.png&w=1920&q=75)
A
B
D
Q3.
Why does x² + 9 < 0 not have any solutions?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707209386%2Fchhq7dhmtqbginmuwiye.png&w=1920&q=75)
A
B
C