Grade 7 Mathematics – Linear inequalities Quiz
1. Which of the following is not a mathematics statement symbol?
2. Which statement is true?
3. Use an equality symbol to represent the following statement. 12 .......... 7
4. The estimated height of a tree is at least 5 metres.Use an inequality statement to represent this information.
5. The distance from Carol's home to the school is at most 2 kilometres.Use an inequality statement to represent this information.
6. Ann sold 50 packets of face masks on Monday and r packets on Tuesday.The total number of face masks sold was less than 80.Form a simple linear inequality to represent this information.
7. The perimeter of the rectangle below is estimated to be greater than or equal to 72 cm .Form a simple linear inequality to show the perimeter of the rectangle.
8. Form a compound inequality using the inequalities below: n > 4 and n < 7
9. Form a compound inequality using the inequalities below: n > 2 and n <= 7
10. Kevin told the doctor that he had fever.The doctor told him that his temperature was greater than 37°c and less than 40°c.Form a compound inequality.
11. A learner had a certain number of books.The number of books was greater than 5 and less than 10.Form a compound inequality.
12. Which one is greater and by how much ? 2/3 or 4/3
13. Which statement is true?
14. Which one is false?
15. Solve x + 5 > 7
16. Solve r - 14 ≥ 17
17. Solve 8x < 48
18. Solve r - 12 ≥ 17
19. Solve h - 2.7 ≤ 7
20. Solve the inequality. 30 + n ≥ 50
21. "At most" and "No more than" are both clue words for...
22. Solve 10 ≥ x - 3
23. Which is the solution of -6a ≥ -36?
24. Solve -4x + 14 ≤ 54
25. Solve 5z - 2 - 2z < 13
26. Solve Solve 3.6 - 4.85a ≥ -6.1
27. To order from the kids menu a person must be no more than 12 years old.
28. Write the inequality: The Washington Nationals have won more than 100 games.
29. Write the inequality: There are fewer than 20 days left in October.
30. Solve the inequality: x + 7 < 9
31. Solve the inequality: x ÷ 7 > 5
32. Solve the inequality: 8x ≤ 32
33. Solve the inequality. x + 5 ≤ 13
34. Solve 7b - 3 < 11
35. Do I flip the sign? -6x ≥ 36
36. What is the solution set of the inequality 2x + 5 < 17?
To find the solution, first subtract 5 from both sides to get 2x < 12. Then, divide by 2 to get x < 6.
37. Which inequality represents the statement 'a number is greater than or equal to 3'?
The symbol '≥' means 'greater than or equal to', so x ≥ 3 represents the statement.
38. What is the solution set of the inequality 4 - x ≥ 7?
39. Which inequality represents the statement 'a number is less than 9'?
The symbol '<' means 'less than', so x < 9 represents the statement.
40. What is the solution set of the inequality 3x - 4 > 8?
Add 4 to both sides to get 3x > 12. Divide by 3 to find x > 4.
41. If x = 2, which inequality is true?
Substitute x=2 into the expressions to find x + 2 = 4 which is greater than or equal to 5.
42. Which inequality represents the statement 'a number is not equal to 7'?
The symbol '≠' means 'not equal to', so x ≠ 7 represents the statement.
43. Solve the inequality: 2(3x - 1) ≥ 6
44. What is the solution set of the inequality -2x + 9 < 5?
Subtract 9 from both sides to get -2x < -4. Divide by -2 and remember to switch the inequality sign to find x > 2.
45. If x = -3, which inequality is true?
Substitute x=-3 into the expressions to find 4x = -12 which is less than -12.