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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-06-WRD-01
Word Problems with Linear Equations - Assignment
Chapter: Linear Equations
Topic: Word Problems with Linear Equations
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.
"$5$ more than $x$" is:
  • A.$5x$
  • B.$x+5$
  • C.$x-5$
  • D.$\tfrac{x}{5}$
2.
"Twice a number $x$" is:
  • A.$x+2$
  • B.$2x$
  • C.$x^2$
  • D.$\tfrac{x}{2}$
3.
"A number decreased by $3$" is:
  • A.$3-x$
  • B.$x-3$
  • C.$3x$
  • D.$x+3$
4.
The sum of a number and $7$ is $15$. The number is:
  • A.$7$
  • B.$8$
  • C.$22$
  • D.$15$
5.
The first step in a word problem is to:
  • A.guess
  • B.let the unknown be a variable
  • C.add everything
  • D.draw
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A number increased by $6$ is $14$. Find the number.
7.
Twice a number is $18$. Find the number.
8.
Three less than a number is $10$. Find the number.
9.
The sum of two consecutive integers is $25$. Find the smaller one.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
The sum of a number and its double is $21$. Find the number.
11.
A number is $5$ more than another and their sum is $19$. Find them.
12.
The length of a rectangle is $3$ m more than its width and the perimeter is $26$ m. Find the width.
13.
Five years from now a girl will be $18$. Find her present age.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The sum of three consecutive integers is $72$. Find them.
15.
A father is $4$ times as old as his son. In $5$ years he will be $3$ times as old. Find their present ages.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $x+5$
  2. (B) $2x$
  3. (B) $x-3$
  4. (B) $8$
  5. (B) let the unknown be a variable
Section B — Short Answer (2 marks)
  1. $8$.
  2. $9$.
  3. $13$.
  4. $12$.
Section C — Short Answer (3 marks)
  1. $7$.
  2. $7$ and $12$.
  3. $5$ m.
  4. $13$.
Section D — Long Answer (5 marks)
  1. $23,\ 24,\ 25$.
  2. Son $10$, father $40$.
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