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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.2 Factorization by Rearrangement of Terms

Example:
Factorize ax-by-ay+bx.
Solution:
Rearranging  the given terms, we have
= ax-ay+bx-by
= a(x-y) + b(x-y)
= (a+b)(x-y)
Therefore ax-by-ay+bx = (a+b)(x-y)

Directions: Solve the following problems and show your work. Also write at least ten examples of your own.
Q 1: Factorize cp + 6dq - 2cq - 3dp.
(c+3d)(p-2q)
(c-3d)(p-2q)
(c-3d)(p+2q)

Q 2: Factorize x3 - 2y + 2x2 - xy.
(x2+y)(x+2)
(x2-y)(x-2)
(x2-y)(x+2)

Q 3: Factorize 3xz + 2y - yz - 6x.
(3x-y)(x+2)
(3x-y)(x-2)
(3x+y)(x-2)

Q 4: Factorize 5px - 10qy + 2rpx - 4qry.
(px+2py)(5+2r)
(px+2py)(5-2r)
(px-2py)(5+2r)

Q 5: Factorize mx + ly + my + lx.
(l-m)(x-y)
(l+m)(x+y)
(l+m)(x-y)

Q 6: Factorize 3a + 12 - ab - 4b.
(a-4)(3-b)
(a+4)(3+b)
(a+4)(3-b)

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Question 8: This question is available to subscribers only!


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