Lesson 5-3: Subtract Integers and Rational Numbers — Practice Questions

1. 1. Write an equation using absolute value notation for the statement: "The distance from $p$ to $-3$ is five units."

   • A. $|p + 3| = 5$
   • B. $|p - 3| = 5$
   • C. $|p - 5| = 3$
   • D. $|p + 5| = 3$

2. 2. Write an inequality using absolute value notation for the statement: "$w$ is no more than one unit from $-5$."

   • A. $|w + 5| \leq 1$
   • B. $|w - 5| \leq 1$
   • C. $|w + 5| \geq 1$
   • D. $|w - 1| \leq 5$

3. 3. Write an inequality using absolute value notation for the statement: "$t$ is within three units of 6."

   • A. $|t - 6| < 3$
   • B. $|t - 6| > 3$
   • C. $|t + 6| < 3$
   • D. $|t - 3| < 6$

4. 4. Write an inequality using absolute value notation for the statement: "$m$ is more than 0.1 unit from 8."

   • A. $|m - 8| > 0.1$
   • B. $|m - 8| < 0.1$
   • C. $|m + 8| > 0.1$
   • D. $|m - 0.1| > 8$

5. 5. Write an equation using absolute value notation for the statement: "$a$ is seven units from the origin."

   • A. $|a| = 7$
   • B. $|a| < 7$
   • C. $|a| > 7$
   • D. $|a - 7| = 0$

6. 6. Write an equation using absolute value notation for the statement: "$x$ is six units from the origin."

   • A. $|x| = 6$
   • B. $|x| > 6$
   • C. $|x| < 6$
   • D. $|x - 6| = 0$

7. 7. Calculate the value of the expression: $12 - (-5) = \text{\_\_\_}$.