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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-05-TRM-01
Terms, Factors & Types of Expressions - Assignment
Chapter: Algebraic Expressions
Topic: Terms, Factors & Types of Expressions
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.
An expression with one term is a:
  • A.monomial
  • B.binomial
  • C.trinomial
  • D.polynomial
2.
An expression with two terms is a:
  • A.monomial
  • B.binomial
  • C.trinomial
  • D.constant
3.
An expression with three terms is a:
  • A.monomial
  • B.binomial
  • C.trinomial
  • D.constant
4.
In $7x$, the coefficient is:
  • A.$x$
  • B.$7$
  • C.$7x$
  • D.$1$
5.
Like terms have the same variables with the same:
  • A.coefficients
  • B.signs
  • C.powers
  • D.values
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Classify $5x^2$.
7.
Classify $3x+2$.
8.
State the coefficient of $x$ in $-4x$.
9.
Are $3x$ and $5x$ like terms?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Identify the like terms among $2x,\ 3y,\ -5x,\ 4y$.
11.
Write the terms of $4x^2-3x+7$.
12.
Classify $2x^2+3x-1$.
13.
State the coefficient and variable part of $-6xy$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
For $5x^2y-3xy^2+7xy-2$, list the terms, their coefficients, and classify the expression.
15.
Group the like terms and state how many distinct groups there are: $3a,\ -2b,\ 5a,\ 4b,\ -a,\ 7$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) monomial
  2. (B) binomial
  3. (C) trinomial
  4. (B) $7$
  5. (C) powers
Section B — Short Answer (2 marks)
  1. Monomial.
  2. Binomial.
  3. $-4$.
  4. Yes.
Section C — Short Answer (3 marks)
  1. $(2x,-5x)$ and $(3y,4y)$.
  2. $4x^2,\ -3x,\ 7$.
  3. Trinomial.
  4. Coefficient $-6$; variable part $xy$.
Section D — Long Answer (5 marks)
  1. Terms $5x^2y,\ -3xy^2,\ 7xy,\ -2$; coefficients $5,\ -3,\ 7,\ -2$; it has $4$ terms (a polynomial).
  2. $(3a,5a,-a),\ (-2b,4b),\ (7)$ — $3$ groups.
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