We Distribute, Yet Things Multiply MCQ: 8th Math Chapter 6 Quiz

Master the distributive property, multiplication techniques, and algebraic expansions with our Class 8 Math Chapter 6 – We Distribute, Yet Things Multiply MCQ Test. Based on NCERT syllabus, CBSE exam patterns, and Vidyalite’s Flashcards, this quiz helps strengthen conceptual clarity while building speed and accuracy for exams.

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Time: 10 Minutes for 10 Question.

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8th Math: We Distribute, Yet Things Multiply

1 / 10

1. What is (a+b)² - (a-b)²?

Option: 4ab

Option: 2ab

Option: 0

Option: a² - b²

2 / 10

2. Compute (6x+5)² by identity:

Option: 36x² + 60x + 25

Option: 36x² + 10x + 25

Option: 36x² + 25

Option: 6x² + 60x + 25

3 / 10

3. What is the expanded form of (a+b)(a²+2ab+b²)?

Option: a³ + 3a²b + 3ab² + b³

Option: a³ + 2a²b + 2ab² + b³

Option: a³ + a²b + ab² + b³

Option: a³ + 4a²b + 4ab² + b³

4 / 10

4. Which expression shows the increase in ab when both a and b increase by 1?

Option: a + b

Option: a + b + 1

Option: ab + 1

Option: ab + a + b + 1

5 / 10

5. Use identity (a+u)(b-v)=ab+ub-av-uv. For u=3, v=4, which term is -uv?

Option: -12

Option: 12

Option: -7

Option: 7

6 / 10

6. In (a+m)(b+n)=ab+mb+an+mn, if m=2 and n=-3, the term an becomes:

Option: -3a

Option: 2b

Option: -6

Option: +2a

7 / 10

7. In the identity a(b+1)=ab+a, if a=15 and b=9, what is the increase in the product when b increases by 1?

Option: 9

Option: 15

Option: 24

Option: a+b+1

8 / 10

8. Expand (x+3)x using distributivity.

Option: x² + 3

Option: x² + 3x

Option: x² + x + 3

Option: x² + 6x

9 / 10

9. Find (x-3)² by identity and confirm by distributivity.

Option: x² - 6x + 9

Option: x² + 6x + 9

Option: x² - 3x + 9

Option: x² + 3x + 9

10 / 10

10. In the pattern 2(a² + b²) = (a+b)² + (a-b)², for a=5, b=2, the left side equals:

Option: 2(25 + 4) = 58

Option: 2(25 + 4) = 54

Option: 2(25 + 4) = 44

Option: 2(25 + 4) = 38

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