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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-03-ABS-01
Absolute Value & Applications - Assignment
Chapter: Integers & Absolute Value
Topic: Absolute Value & Applications
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
$|-5|=$
  • A.$-5$
  • B.$5$
  • C.$0$
  • D.$10$
2.
$|a|$ is the ___ of $a$ from $0$.
  • A.sign
  • B.distance
  • C.square
  • D.half
3.
$|0|=$
  • A.$1$
  • B.$0$
  • C.$-1$
  • D.undefined
4.
$|a|$ is always:
  • A.negative
  • B.$\ge0$
  • C.$\le0$
  • D.a fraction
5.
$|-3|+|3|=$
  • A.$0$
  • B.$3$
  • C.$6$
  • D.$-6$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $|-12|$.
7.
Find $|9|-|-4|$.
8.
Find $|-7|+|-3|$.
9.
Solve $|x|=5$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Evaluate $|-8|\times|2|$.
11.
Evaluate $|-15|-|-6|+|-1|$.
12.
Solve $|x|=0$.
13.
Find the distance between $-4$ and $3$ on the number line.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A diver is $18$ m below sea level and a bird is $12$ m above it. Using absolute values, find the vertical distance between them.
15.
Solve $|x-2|=5$ and list both values of $x$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $5$
  2. (B) distance
  3. (B) $0$
  4. (B) $\ge0$
  5. (C) $6$
Section B — Short Answer (2 marks)
  1. $12$.
  2. $5$.
  3. $10$.
  4. $x=5$ or $x=-5$.
Section C — Short Answer (3 marks)
  1. $16$.
  2. $10$.
  3. $x=0$.
  4. $7$.
Section D — Long Answer (5 marks)
  1. $30$ m.
  2. $x=7$ or $x=-3$.
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