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Vidaara.orgClass 7 · Mathematics
CodeVID-M07-04-DIS-01
Distributive Property & Factoring - Assignment
Chapter: Algebraic Expressions (Two-step)
Topic: Distributive Property & Factoring
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.
$a(b+c)=$
  • A.$ab+c$
  • B.$ab+ac$
  • C.$a+bc$
  • D.$abc$
2.
$2(x+3)=$
  • A.$2x+3$
  • B.$2x+6$
  • C.$x+6$
  • D.$2x+5$
3.
Factor $6x+9$:
  • A.$3(2x+3)$
  • B.$3(2x+9)$
  • C.$6(x+3)$
  • D.$2(3x+9)$
4.
The common factor of $4x$ and $8$ is:
  • A.$2$
  • B.$4$
  • C.$x$
  • D.$8$
5.
Factoring is the reverse of:
  • A.adding
  • B.expanding
  • C.dividing
  • D.squaring
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Expand $3(x+4)$.
7.
Expand $5(2x-1)$.
8.
Factor $4x+8$.
9.
Factor $6x-9$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Expand $2(3x+5)-4$.
11.
Factor $10x+15$.
12.
Factor $12a-18$.
13.
Expand $-2(x-4)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Expand and simplify $3(2x+1)+2(x-4)$.
15.
Factor completely $8x+12y-20$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $ab+ac$
  2. (B) $2x+6$
  3. (A) $3(2x+3)$
  4. (B) $4$
  5. (B) expanding
Section B — Short Answer (2 marks)
  1. $3x+12$.
  2. $10x-5$.
  3. $4(x+2)$.
  4. $3(2x-3)$.
Section C — Short Answer (3 marks)
  1. $6x+6$.
  2. $5(2x+3)$.
  3. $6(2a-3)$.
  4. $-2x+8$.
Section D — Long Answer (5 marks)
  1. $8x-5$.
  2. $4(2x+3y-5)$.
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