kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.47 Multiplication of a Multinomial by a Monomial (Geometrical Proof)

Multiplication of a Multinomial by a Monomial

Suppose AB = a units, BC = b units, CD = c units, AH = k units
Therefore AD = AB + BC + CD = (a + b + c)units
Area of rectangle ADEH = AD * AH
= (a + b + c) * k sq. units    ..........I
But area of rectangle ADEH
= Area of rectangle ABGH + Area of rectangle BCFG + Area of rectangle CDEF
= (AB * AH) + (BC * CF) + (CD * DE)
= (a.k + b.k + c.k) sq. units    ..........II
Results I and II give the are of the same rectangle ADEH
Therefore from I and II

(a + b + c) * k = (a.k + b.k + c.k)

Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: 9(x+11y+9z) = _____?
Answer:

Q 2: 19(7x+6y+7z) = _____?
Answer:

Q 3: 15(3x+5y+2z) = _____?
Answer:

Q 4: 7(7x+6y+9z) = _____?
Answer:

Question 5: This question is available to subscribers only!

 Question 6: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer