Question Bank: We Distribute, Yet Things Multiply

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

Which property allows us to rearrange the factors in multiplication?

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

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

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?

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

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

Which expression correctly represents the distributive property of multiplication?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

What does the distributive property state about multiplication and addition?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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