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CBSE
Class 8
Mathematics
Ganita Prakash Part I
We Distribute, Yet Things Multiply
Question Bank

Question Bank - We Distribute,...

Practice Hub

Question Bank: We Distribute, Yet Things Multiply

Structured practice

Question Bank - We Distribute, Yet Things Multiply

Q1.

When both numbers a and b are each increased by 1, by how much does the product ab increase?

Single Answer MCQ
Q-00133309
View explanation
Q2.

Which property allows us to rearrange the factors in multiplication?

Single Answer MCQ
Q-00133310
View explanation
Q3.

If a = 5 and b = 3, how much does the product (a + 1)(b + 1) increase compared to ab?

Single Answer MCQ
Q-00133311
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Q4.

What is the product of two negative integers a and b?

Single Answer MCQ
Q-00133312
View explanation
Q5.

If the first number in the product is decreased by 2 and the second number is increased by 3, how is the new product expressed?

Single Answer MCQ
Q-00133313
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Q6.

What happens to the product if one factor is increased by 1 and the other is decreased by 1?

Single Answer MCQ
Q-00133314
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Q7.

By how much does the product increase when both a and b are each increased by m?

Single Answer MCQ
Q-00133315
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Q8.

Which expression correctly represents the distributive property of multiplication?

Single Answer MCQ
Q-00133316
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Q9.

If a = 4 and b = 2, what is the value of the expression (a + 1)(b + 1) - ab?

Single Answer MCQ
Q-00133317
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Q10.

What is the result of decreasing a factor by 1 while keeping the other factor constant?

Single Answer MCQ
Q-00133318
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Q11.

Using the identity, if a = 3 and b = 5, what is the product of (a + 2)(b - 2)?

Single Answer MCQ
Q-00133319
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Q12.

What is the identity that represents the multiplication of two binomials?

Single Answer MCQ
Q-00133320
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Q13.

If both a and b are negative integers, what can you say about their product?

Single Answer MCQ
Q-00133321
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Q14.

When one factor is increased by 2 and the other by 3, how can that be expressed?

Single Answer MCQ
Q-00133322
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Q15.

Using the distributive property, how would you simplify 2(a + 3) + 4(a + 5)?

Single Answer MCQ
Q-00133323
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Q16.

What is the expression of (a + 1)(b + 1) using the distributive property?

Single Answer MCQ
Q-00133324
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Q17.

If a = 5 and b = 3, what is the increase in the product (a + 1)(b + 1) compared to ab?

Single Answer MCQ
Q-00133325
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Q18.

Using the distributive property, what is (x + 2)(y - 3) expanded?

Single Answer MCQ
Q-00133326
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Q19.

What is the result of (a - 1)(b + 2) when a = 4 and b = 5?

Single Answer MCQ
Q-00133327
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Q20.

How much does the product of variables a and b increase if a is increased by 3 and b is decreased by 2?

Single Answer MCQ
Q-00133328
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Q21.

What happens to the product ab when a is increased by 1 and b is increased by 1?

Single Answer MCQ
Q-00133329
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Q22.

Using the distributive property, what is (3)(2 + c)?

Single Answer MCQ
Q-00133330
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Q23.

What is the expanded form of (a - 2)(b + 4)?

Single Answer MCQ
Q-00133331
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Q24.

If c = 7 and d = 2, calculate the product change when increasing (c + 2)(d + 1).

Single Answer MCQ
Q-00133332
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Q25.

When a is decreased by 1 and b is increased by 1, how does (a)(b) change?

Single Answer MCQ
Q-00133333
View explanation
Q26.

If both a = -3 and b = 5 are used in (a + 1)(b - 1), what is the result?

Single Answer MCQ
Q-00133334
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Q27.

What is the increase in the product if a = 2, b = 3 and we increase a by 1 and b by 1?

Single Answer MCQ
Q-00133335
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Q28.

When a is decreased by 1 and b is simultaneously increased by 1, what is the overall product effect?

Single Answer MCQ
Q-00133336
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Q29.

If the expression (3 + x)(2 + y) is expanded, which of the following form is correct?

Single Answer MCQ
Q-00133337
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Q30.

If you increase both numbers in the product 5 × 8 by 1, what will be the increase in the product?

Single Answer MCQ
Q-00133338
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Q31.

What is the result of (a + 2)(b + 3) using the distributive property?

Single Answer MCQ
Q-00133339
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Q32.

How much does the product change when one number is increased by 1 and the other is decreased by 1?

Single Answer MCQ
Q-00133340
View explanation
Q33.

If a = 4 and b = 6, what is the product of (a + 1)(b + 1)?

Single Answer MCQ
Q-00133341
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Q34.

Using the identity, what is the result of expanding (x + 3)(x + 2)?

Single Answer MCQ
Q-00133342
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Q35.

If the product ab is increased by 2 when a is increased by 1 and b is unchanged, what is the value of 'b'?

Single Answer MCQ
Q-00133343
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Q36.

When expanding (x + 1)(y - 1), which of the following is NOT part of the result?

Single Answer MCQ
Q-00133344
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Q37.

How is the product (a - m)(b + n) expanded?

Single Answer MCQ
Q-00133345
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Q38.

In the expression (a + 1)(b + 1), what is the increase from 'ab' due to the additional terms?

Single Answer MCQ
Q-00133346
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Q39.

When both a and b in product ab are decreased by 1, what happens to the result?

Single Answer MCQ
Q-00133347
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Q40.

For the expression (a + 1)(b - 2), when with a = 3, what is the final value?

Single Answer MCQ
Q-00133348
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Q41.

If the product (2x + 3)(x - 4) is expanded, what is the resulting quadratic expression?

Single Answer MCQ
Q-00133349
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Q42.

What is the increase in the product when both a and b are decreased by m and n respectively? Express this using identities.

Single Answer MCQ
Q-00133350
View explanation
Q43.

How can you write the expression of (a + u)(b - v) using distributive property?

Single Answer MCQ
Q-00133351
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Q44.

What does the distributive property state about multiplication and addition?

Single Answer MCQ
Q-00133352
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Q45.

If a = 5 and b = 3, what is the increase in the product when both numbers are each increased by 1?

Single Answer MCQ
Q-00133353
View explanation
Q46.

What happens to the product ab when a is increased by 1 and b is decreased by 1?

Single Answer MCQ
Q-00133354
View explanation
Q47.

By what amount does the product change when a and b are increased by u and v respectively?

Single Answer MCQ
Q-00133355
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Q48.

Expand the expression (x + 2)(x + 3).

Single Answer MCQ
Q-00133356
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Q49.

Which of the following identities correctly represents the expansion of (a + b)(c + d)?

Single Answer MCQ
Q-00133357
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Q50.

If a = 8, by how much does the product of 4a increase when 4 is added to a?

Single Answer MCQ
Q-00133358
View explanation
Q51.

If a = 10 and b = -3, what is the product (a + 1)(b + 1)?

Single Answer MCQ
Q-00133359
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Q52.

What is the result of applying the distributive property to (2)(3 + 4)?

Single Answer MCQ
Q-00133360
View explanation
Q53.

When both terms in a product are increased by 2, what is the overall increment in the product?

Single Answer MCQ
Q-00133361
View explanation
Q54.

If the numbers a and b are both negative integers, how does (a + m)(b + n) compare to their original product ab?

Single Answer MCQ
Q-00133362
View explanation
Q55.

Determine the increase in the product when (a + 1)(b - 1) is applied when both terms vary.

Single Answer MCQ
Q-00133363
View explanation
Q56.

If a is 1 and b is 3, what is the increase in the product of (a + 1)(b + 1)?

Single Answer MCQ
Q-00133364
View explanation
Q57.

How does the expression (x + u)(y - v) expand according to the distributive property?

Single Answer MCQ
Q-00133365
View explanation
Q58.

What identity can you derive from (a + 2)(a - 2)?

Single Answer MCQ
Q-00133366
View explanation
Q59.

What is the product of (x + 3)(x + 2) using the distributive property?

Single Answer MCQ
Q-00133367
View explanation
Q60.

If a = 5 and b = 7, find the increase in the product when both are increased by 1.

Single Answer MCQ
Q-00133368
View explanation
Q61.

What happens to the product (a)(b) if a is increased by 2 and b decreased by 2?

Single Answer MCQ
Q-00133369
View explanation
Q62.

What is the correct expansion of (2x + 3)(4x + 5)?

Single Answer MCQ
Q-00133370
View explanation
Q63.

How much will the product (a)(b) change if a is decreased by m and b is decreased by n?

Single Answer MCQ
Q-00133371
View explanation
Q64.

Using the distributive property, what does (x + 4)(x + 1) simplify to?

Single Answer MCQ
Q-00133372
View explanation
Q65.

If both a and b are increased by 3, what expression describes the product (a)(b)?

Single Answer MCQ
Q-00133373
View explanation
Q66.

Which step correctly uses the distributive property: (3)(x + 2)?

Single Answer MCQ
Q-00133374
View explanation
Q67.

If (a)(b) = 20, what is (a + 2)(b - 2) equal to?

Single Answer MCQ
Q-00133375
View explanation
Q68.

Simplify (m + 1)(m - 1) using the distributive property.

Single Answer MCQ
Q-00133376
View explanation
Q69.

If x = 4 and y = 5, calculate the increase in the product of (x + 1)(y + 1).

Single Answer MCQ
Q-00133377
View explanation
Q70.

What is (x + 3)(x - 3) expanded using the distributive property?

Single Answer MCQ
Q-00133378
View explanation
Q71.

What is the product increase when both factors (m)(n) are decreased by 1?

Single Answer MCQ
Q-00133379
View explanation
Q72.

Using the distributive property, expand (5)(a + 2b).

Single Answer MCQ
Q-00133380
View explanation
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