subject

Linear Inequalities

Math ⇒ Algebra

Linear Inequalities starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Linear Inequalities. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 8
Describe the difference between an equation and an inequality.
Explain why the solution to the inequality -x > 4 is x < -4.
If 2x + 3 > 11, what is the solution for x?
If 3x - 4 ≤ 8, what is the solution for x?
If 4x > 20, what is the smallest integer value of x that satisfies the inequality?
A student claims that the solution to the inequality 3x < 12 is x < 4. Is the student correct? (Yes/No)
A number is decreased by 5 and the result is less than twice the number. Write an inequality to represent this situation and solve for the number.
A store offers a discount of $2 on every item. If the original price of an item is p dollars, and you have $15, for which values of p can you afford the item after the discount? Write and solve the inequality.
If x > 2, which of the following is NOT a possible value for x? (1) 3 (2) 2.5 (3) 2 (4) 4
If x ≤ 0, which of the following is NOT a solution? (1) -1 (2) 0 (3) 1 (4) -2
If x ≤ 10, which of the following is a possible value for x? (1) 11 (2) 10 (3) 12 (4) 15
Which of the following inequalities is equivalent to x > 5? (1) 5 < x (2) x ≥ 5 (3) x < 5 (4) x = 5
Fill in the blank: The solution to the inequality 2x - 1 ≥ 7 is x ≥ ______.
Fill in the blank: The solution to the inequality -3x ≥ 9 is x ≤ ______.
Fill in the blank: The solution to the inequality 5x ≥ 20 is x ≥ ______.
Fill in the blank: The solution to the inequality 6 - x > 2 is x < ______.
A student claims that the solution to the inequality 3x < 12 is x < 4. Is the student correct? (Yes/No)
True or False: The solution set of x ≤ 8 includes the number 8.
True or False: The solution to -2x > 6 is x < -3.
True or False: The solution to the inequality 2x + 1 ≥ 7 is x ≥ 3.