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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-05-CT
Algebraic Expressions — Full Chapter Test
Chapter: Algebraic Expressions
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • 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.
$3x+5x=$
  • A.$8x$
  • B.$15x$
  • C.$8x^2$
  • D.$2x$
3.
$(a+b)^2=$
  • A.$a^2+b^2$
  • B.$a^2+2ab+b^2$
  • C.$a^2-2ab+b^2$
  • D.$2ab$
4.
An expression with two terms is a:
  • A.monomial
  • B.binomial
  • C.trinomial
  • D.constant
5.
$7y-2y=$
  • A.$5y$
  • B.$9y$
  • C.$5$
  • D.$5y^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Classify $5x^2$.
7.
Add $4a+3a$.
8.
Expand $(x+5)^2$.
9.
Classify $3x+2$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Identify the like terms among $2x,\ 3y,\ -5x,\ 4y$.
11.
Add $(3x+2y)$ and $(5x-y)$.
12.
Expand $(2x+3)^2$.
13.
Write the terms of $4x^2-3x+7$.
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.
Simplify $(2x^2+3x-1)+(x^2-5x+4)-(x^2-2x)$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) monomial
  2. (A) $8x$
  3. (B) $a^2+2ab+b^2$
  4. (B) binomial
  5. (A) $5y$
Section B — Short Answer (2 marks)
  1. Monomial.
  2. $7a$.
  3. $x^2+10x+25$.
  4. Binomial.
Section C — Short Answer (3 marks)
  1. $(2x,-5x)$ and $(3y,4y)$.
  2. $8x+y$.
  3. $4x^2+12x+9$.
  4. $4x^2,\ -3x,\ 7$.
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. $2x^2+3$.
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