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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.10 Multiplication of Two Binomials (Horizontal Method)

Procedure:
To multiply (a+b) and (c+d), think of (c+d) as a single number say 'x'.
\(a+b)(c+d) = (a+b)x
= ax+bx ......(Right Distributive Property)
Substituting value of x, we get
= a(c+d)+b(c+d)
= ac+ad+bc+bd .....(Left Distributive Property)
\(a+b)(c+d) = ac+ad+bc+bd

Example:
Find the Product of (5x+1) and (6y-2).
Solution:
Think of (6y-2) as a single number say 'a'
(5x+1)a = 5x.a+1.a
Substituting value of 'a', we get
5x(6y-2) + 1.(6y-2)
30xy-10x+6y-2.


Directions: Solve the following multiplication problems. Also write at least ten examples of your own.
Q 1: (15x+2)(9y+3) = _____?
135xy+45x+18y+6
135xy+46x+38y+6
135xy+45x+35y+6

Q 2: (9x+5)(7y+6) = _____?
63xy+56x+35y+30
63xy+54x+34y+30
63xy+54x+35y+30

Q 3: (15x+3)(4y-1) = _____?
60xy+15x+12y-3
60xy-15x+12y-3
60xy-15x-12y-3

Q 4: (11x+1)(4y+5) = _____?
44xy+55x+14y+5
44xy+50x+4y+5
44xy+55x+4y+5

Q 5: (9x+15)(3y+6) = _____?
27xy+54x+40y+90
27xy+56x+45y+90
27xy+54x+45y+90

Q 6: (17x+9)(4y+7) = _____?
68x+119x+36y+63
68x+129x+36y+63
68x+119x+34y+63

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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