AQA · Mathematics · 8300
GCSE Maths: Inequalities
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Inequalities (Corbettmaths Video 176), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
17 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What does the inequality symbol ≥ mean?
Show answer
Greater than or equal to
What does the inequality symbol ≤ mean?
Show answer
Less than or equal to
How do you solve the inequality 3x < 24?
Show answer
Divide both sides by 3 to get x < 8
What integers satisfy the inequality 4 ≤ n < 8?
Show answer
4, 5, 6, 7
What are the possible integer values of n if −2 < n ≤ 3?
Show answer
−1, 0, 1, 2, 3
When solving 3x − 8 > 16, what is the first step?
Show answer
Add 8 to both sides to get 3x > 24
How do you solve 3y − 4 > 17?
Show answer
Add 4 to both sides to get 3y > 21, then divide by 3 to get y > 7
How do you solve the inequality 4n < 9 − 2n?
Show answer
Add 2n to both sides to get 6n < 9, then divide by 6 to get n < 1.5
How do you solve 2(3x − 5) ≥ 43?
Show answer
Expand to get 6x − 10 ≥ 43, add 10 to get 6x ≥ 53, then divide by 6 to get x ≥ 53/6 or x ≥ 8.83...
What integer solutions satisfy 3 < 2x + 1 < 13?
Show answer
2, 3, 4, 5 (subtract 1 from all parts: 2 < 2x < 12, then divide by 2: 1 < x < 6)
If Annie spends m pounds, Beth twice as much, Carly 5 pounds more than Annie, and their total is more than £60, what inequality represents this?
Show answer
4m + 5 > 60
If 4m + 5 > 60 and m must be a whole number, what is the smallest value of m?
Show answer
m = 14. Solving gives m > 13.75, so the smallest whole number is 14.
If Annie spends £14, and Beth spends twice as much as Annie, how much does Beth spend?
Show answer
£28
If Annie spends £14, and Carly spends 5 pounds more than Annie, how much does Carly spend?
Show answer
£19
How do you find the perimeter of a regular pentagon with side length s?
Show answer
5s. A regular pentagon has 5 equal sides.
How do you find the perimeter of an isosceles triangle with two equal sides of length a and a base of length b?
Show answer
2a + b. Add the two equal sides and the base.
When solving an inequality like 8 < 10 - x/2, what happens to the inequality sign when you multiply both sides by -2?
Show answer
The inequality sign reverses direction. Multiplying or dividing by a negative number reverses the inequality.
Want to create your own cards? Create a free account. AI generation uses credits.