Absolute value Knowledge-Based Download PDF

Questions

1. 1.

   How many distinct ordered pairs of integers $(x, y)$ satisfy the equation $|x| + |y| = 3$?

   • A) 8
   • B) 12
   • C) 14
   • D) 16
2. 2.

   What is the product of all distinct solutions to the equation $|3x - 4| = 11$?

   • A) $-\frac{35}{3}$
   • B) $-\frac{25}{3}$
   • C) $\frac{35}{3}$
   • D) $-15$
3. 3.

   What is the sum of all integer values of $x$ that satisfy the inequality $|3 - x| \le 4$?

   • A) 27
   • B) 21
   • C) 28
   • D) 20
4. 4.

   If $a = -5$, $b = 2$, and $c = -3$, what is the value of the expression $|ab| - |b - c| + |a + c|$?

   • A) 13
   • B) 7
   • C) 3
   • D) -3
5. 5.

   What is the value of the expression $\left|-\frac{5}{6}\right| - \left|-\frac{1}{3}\right| + \left|-\frac{1}{2}\right|$?

   • A) 0
   • B) $\frac{2}{3}$
   • C) 1
   • D) $\frac{4}{3}$