Class 7 – Simplify Algebraic expression

🔹 EASY (1–5)

  1. 8x(3x+2)8x – (3x + 2)8x−(3x+2)
  2. 5a+4b(2a+b)5a + 4b – (2a + b)5a+4b−(2a+b)
  3. 9m(m+3n)9m – (m + 3n)9m−(m+3n)
  4. 6p2(p+q)6p – 2(p + q)6p−2(p+q)
  5. 10y(4y3)10y – (4y – 3)10y−(4y−3)

🔸 MEDIUM (6–10)

  1. 7x+3y(2xy)+4y7x + 3y – (2x – y) + 4y7x+3y−(2x−y)+4y
  2. 12a(3a+5b)2b12a – (3a + 5b) – 2b12a−(3a+5b)−2b
  3. 5p+6(2p+4)+3p5p + 6 – (2p + 4) + 3p5p+6−(2p+4)+3p
  4. 9m2n(4m3n)9m – 2n – (4m – 3n)9m−2n−(4m−3n)
  5. 14x(6x+2y3)+y14x – (6x + 2y – 3) + y14x−(6x+2y−3)+y

🔺 HARD (11–15)

  1. 20a3(2a+b)+(4a2b)20a – 3(2a + b) + (4a – 2b)20a−3(2a+b)+(4a−2b)
  2. 15x(4x3y+2)+2(3yx)15x – (4x – 3y + 2) + 2(3y – x)15x−(4x−3y+2)+2(3y−x)
  3. 18m(5m+4n3)(m2n+7)18m – (5m + 4n – 3) – (m – 2n + 7)18m−(5m+4n−3)−(m−2n+7)
  4. 10p+3q2(3pq)+(p5q)10p + 3q – 2(3p – q) + (p – 5q)10p+3q−2(3p−q)+(p−5q)
  5. 25x3(2x+y4)+2(x3y+5)25x – 3(2x + y – 4) + 2(x – 3y + 5)25x−3(2x+y−4)+2(x−3y+5)

Answers

  1. 8x−(3x+2)8x – (3x + 2)8x−(3x+2)
    = 8x3x28x – 3x – 28x−3x−2
    = 5x−25x – 25x−2
  2. 5a+4b−(2a+b)5a + 4b – (2a + b)5a+4b−(2a+b)
    = 5a+4b2ab5a + 4b – 2a – b5a+4b−2a−b
    = 3a+3b3a + 3b3a+3b
  3. 9m−(m+3n)9m – (m + 3n)9m−(m+3n)
    = 9mm3n9m – m – 3n9m−m−3n
    = 8m−3n8m – 3n8m−3n
  4. 6p−2(p+q)6p – 2(p + q)6p−2(p+q)
    = 6p2p2q6p – 2p – 2q6p−2p−2q
    = 4p−2q4p – 2q4p−2q
  5. 10y−(4y−3)10y – (4y – 3)10y−(4y−3)
    = 10y4y+310y – 4y + 310y−4y+3
    = 6y+36y + 36y+3
  6. 7x+3y−(2x−y)+4y7x + 3y – (2x – y) + 4y7x+3y−(2x−y)+4y
    = 7x+3y2x+y+4y7x + 3y – 2x + y + 4y7x+3y−2x+y+4y
    = 5x+8y5x + 8y5x+8y
    = 5x+8y5x + 8y5x+8y
  7. 12a−(3a+5b)−2b12a – (3a + 5b) – 2b12a−(3a+5b)−2b
    = 12a3a5b2b12a – 3a – 5b – 2b12a−3a−5b−2b
    = 9a−7b9a – 7b9a−7b
  8. 5p+6−(2p+4)+3p5p + 6 – (2p + 4) + 3p5p+6−(2p+4)+3p
    = 5p+62p4+3p5p + 6 – 2p – 4 + 3p5p+6−2p−4+3p
    = 6p+26p + 26p+2
    = 6p+26p + 26p+2
  9. 9m−2n−(4m−3n)9m – 2n – (4m – 3n)9m−2n−(4m−3n)
    = 9m2n4m+3n9m – 2n – 4m + 3n9m−2n−4m+3n
    = 5m+n5m + n5m+n
    = 5m+n5m + n5m+n
  10. 14x−(6x+2y−3)+y14x – (6x + 2y – 3) + y14x−(6x+2y−3)+y
    = 14x6x2y+3+y14x – 6x – 2y + 3 + y14x−6x−2y+3+y
    = 8xy+38x – y + 38x−y+3
    = 8x−y+38x – y + 38x−y+3
  11. 20a−3(2a+b)+(4a−2b)20a – 3(2a + b) + (4a – 2b)20a−3(2a+b)+(4a−2b)
    = 20a6a3b+4a2b20a – 6a – 3b + 4a – 2b20a−6a−3b+4a−2b
    = 18a5b18a – 5b18a−5b
    = 18a−5b18a – 5b18a−5b
  12. 15x−(4x−3y+2)+2(3y−x)15x – (4x – 3y + 2) + 2(3y – x)15x−(4x−3y+2)+2(3y−x)
    = 15x4x+3y2+6y2x15x – 4x + 3y – 2 + 6y – 2x15x−4x+3y−2+6y−2x
    = 9x+9y29x + 9y – 29x+9y−2
    = 9x+9y−29x + 9y – 29x+9y−2
  13. 18m−(5m+4n−3)−(m−2n+7)18m – (5m + 4n – 3) – (m – 2n + 7)18m−(5m+4n−3)−(m−2n+7)
    = 18m5m4n+3m+2n718m – 5m – 4n + 3 – m + 2n – 718m−5m−4n+3−m+2n−7
    = 12m2n412m – 2n – 412m−2n−4
    = 12m−2n−412m – 2n – 412m−2n−4
  14. 10p+3q−2(3p−q)+(p−5q)10p + 3q – 2(3p – q) + (p – 5q)10p+3q−2(3p−q)+(p−5q)
    = 10p+3q6p+2q+p5q10p + 3q – 6p + 2q + p – 5q10p+3q−6p+2q+p−5q
    = 5p5p5p (q terms cancel: 3+2−5=03+2-5=03+2−5=0)
    = 5p5p5p
  15. 25x−3(2x+y−4)+2(x−3y+5)25x – 3(2x + y – 4) + 2(x – 3y + 5)25x−3(2x+y−4)+2(x−3y+5)
    = 25x6x3y+12+2x6y+1025x – 6x – 3y + 12 + 2x – 6y + 1025x−6x−3y+12+2x−6y+10
    = 21x9y+2221x – 9y + 2221x−9y+22
    = 21x−9y+2221x – 9y + 2221x−9y+22

Leave a Reply

Discover more from Abhyas

Subscribe now to keep reading and get access to the full archive.

Continue reading