Absolute Value Equations and Inequalities
Math ⇒ Algebra
Absolute Value Equations and Inequalities starts at 9 and continues till grade 12.
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See sample questions for grade 10
If |3x - 9| = 0, what is the value of x?
If |x - 5| = 2, what are the solutions for x?
If |x - 7| = 0, what is the value of x?
If |x + 2| = 7, what are the possible values of x?
If |x| = 0, what is the value of x?
If |x| = a, where a > 0, what are the solutions for x?
Solve the equation |2x + 1| = 9.
Solve the equation |3x + 2| = 7.
Which of the following is NOT a solution to |x - 2| = 4?
(1) x = 6
(2) x = -2
(3) x = 2
(4) x = -6
Which of the following is the correct solution to |x + 3| ≥ 4?
(1) x ≤ -7 or x ≥ 1
(2) x ≤ -1 or x ≥ 7
(3) x ≤ -4 or x ≥ 4
(4) x ≤ -4 or x ≥ 1
Which of the following is the solution set for |x + 1| > 2?
(1) x > 1
(2) x < -3 or x > 1
(3) x < -1 or x > 2
(4) x < -1 and x > 2
Which of the following is the solution to |2x + 3| = 1?
(1) x = -2 or x = -1
(2) x = -1 or x = -2
(3) x = -1 or x = -3
(4) x = -2 or x = -3
Fill in the blank: The solution to |2x - 6| = 0 is x = _______.
Fill in the blank: The solution to |x - 3| > 2 is x < _______ or x > _______.
Fill in the blank: The solution to |x - 4| < 2 is _______ < x < _______.
Fill in the blank: The solution to |x + 1| ≤ 3 is _______ ≤ x ≤ _______.
True or False: The equation |x - 2| = -1 has no solution.
True or False: The equation |x| = 0 has exactly one solution.
True or False: The equation |x| = -4 has no real solution.
True or False: The solution to |x + 1| < 0 is the empty set.
