Chapter-6 We Distribute — Online MCQ Test

MATHS · Grade 8 · CBSE(NCERT)
Practice Chapter-6 We Distribute with a free chapter-wise online MCQ test. This chapter covers: Yet Things Multiply. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-6 We Distribute — Important Questions & Answers

What is the distributive property of multiplication over addition?

A. a × (b + c) = (a × b) + (a × c)
B. a + (b × c) = (a + b) × (a + c)
C. (a + b) × c = a + (b × c)
D. a × b + c = a × (b + c)

Answer: A. a × (b + c) = (a × b) + (a × c)
The distributive property states that multiplication distributes over addition: a × (b + c) = ab + ac.

Simplify: 5 × (3 + 2)

A. 25
B. 15
C. 10
D. 20

Answer: A. 25
Using distributive property: 5 × (3 + 2) = (5 × 3) + (5 × 2) = 15 + 10 = 25.

Simplify using the distributive property: 9 × (5 + 3)

A. 72
B. 45
C. 27
D. 63

Answer: A. 72
9 × (5 + 3) = (9 × 5) + (9 × 3) = 45 + 27 = 72.

Simplify: 8(2a + 3b) - 4(a + 2b)

A. 12a + 16b
B. 12a + 24b
C. 16a + 32b
D. 12a - 16b

Answer: A. 12a + 16b
8(2a + 3b) = 16a + 24b and 4(a + 2b) = 4a + 8b. Subtracting: 16a + 24b - 4a - 8b = 12a + 16b.

A student claims that (a + b) × c = a + (b × c). Is this correct?

A. Yes, this is the distributive property
B. No, the correct form is (a + b) × c = (a × c) + (b × c)
C. Yes, but only for positive numbers
D. No, addition and multiplication cannot be combined

Answer: B. No, the correct form is (a + b) × c = (a × c) + (b × c)
The student's claim is incorrect. The distributive property states (a + b) × c = (a × c) + (b × c), not a + (b × c).