Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Algebra - factorisation with a common factor.
Test Yourself 1.


 

Arithmetic - remove the brackets. 1. 3(6)
Answer.18.		 2. 2(3 + 4)
Answer.14.
  3. 5(8 + 2)
Answer.50.		 4. 12( 16 + 4)
Answer.240.
Algebra - remove the brackets 5. a(b)
Answer.ab.		 6. a(3 - d)
Answer.3a - 3d.
  7. m(n - p)
Answer.mn - mp.		 8. x(2x + y)
Answer.2x2+ 2y.
  9. 12(3f + 4g)
Answer.36f + 48g.		 10.
Answer..
Algebra - simplify using brackets: (numbers) 11. 3m + 3
Answer.3(m + 1).		 12. 2b + 2d
Answer.2(b + d).
  13. 2b + 8x
Answer.2(b + 4x).		 14. 13a + 26
Answer.13(a + 2).
  15. 6 - 3a
Answer.3(2 - a)).		 16. 5x + 15y
Answer.5(x + 3y).
(pronumerals) 17. mn - nx
Answer.n(m - x).		 18. 2x - ax
Answer.x(2 - a).
  19. ap + gp
Answer.p(a + g).		 20. 4J + JK
Answer.J(4 + K).
  21. 4xy + 8x
Answer.2x(y + 4).		 22. 3ab - 12bc
Answer.3b(a - 4c).
  23. 4ef + 8eg
Answer.4e(f + 2g).		 24. abx + abc
Answer.ab(x + c).
  25. 2a + ba + 12a
Answer.a(2 + b +12).		 26. mx - nx - 6x
Answer.x(m - n - 6).
  27. 4mn - 8mx + 12md
Answer.4m(n - 2x + 3d).		 28. aby + mab + 6abc
Answer.ab(y + m + 6c).
  29. jemma + jean
Answer.jea(m2 + n).		 30. tim - tom
Answer.tm(i - o).
  31. bx + b(c + x)
Answer.b(2x + c).		 32.
Answer..
  33.
Answer..		 34.
Answer..
  35. x(a + b) + 3(a + b)
Answer.(a + b)(x + 3).		 36. 3(m + 5) + (m + 2)(m + 5)
Answer.(m + 5)(5 + m)
= (m + 5)2.
Remove brackets, collect terms and factorise. 37. ab + x(b + d)
Answer.b(a + x) + xd.		 38. def + de(h + 2m)
Answer.de(f + h + 2m).

Applied questions - find simplified expressions for the following problems and simplify your answer as much as possible.

Find an expression for the sum of the edges in the following diagrams. 39.
Answer.4(x + y + z).		 40.
Answer.2(a + b + d) + 3c.
Find an expression for the perimeters of the following figures. 41.
Answer.x(1 + a + b).		 42.
Answer.x(4 + a + b).
  43.
Answer.4(3a + b).		 44.
Answer.x(4 + a + b + c).
Find an expression for the surface area of the following solids: 45.
Answer.2(xy + xz + yz).		 46.
Answer.ab + c(a + b + d).
  47.
Answer.2a(3a + 2b).		 48.