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Question (1)

QN0019119

A student writes -3p(-5p+2q) = -3p + 5p - 2q. What is the correct simplification?

(A) 15p^2-6pq
(B) -15p^2+6pq
(C) 15p^2+6pq
(D) -15p^2-6pq

Correct Answer: A

Explanation:

Multiply -3p with each term: 15p^2 - 6pq

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Question (2)

QN0019120

In -3p(-5p+2q), the mistake occurs because

(A) powers were added incorrectly
(B) distributive property was not applied correctly
(C) brackets were removed correctly
(D) like terms were added first

Correct Answer: B

Explanation:

Distributive property was not applied correctly

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Question (3)

QN0019121

A student simplifies 2(x-1)+3(x+4) as 2x-1+3x+4. The correct answer is

(A) 5x+3
(B) 5x+10
(C) 5x+12
(D) 5x+15

Correct Answer: B

Explanation:

Correct expansion: 2x-2 + 3x+12 = 5x+10

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Question (4)

QN0019122

What mistake was made in simplifying 2(x-1) as 2x-1?

(A) Addition error
(B) Sign error
(C) 2 was not multiplied by both terms
(D) Terms were rearranged

Correct Answer: C

Explanation:

2 was not multiplied with both terms

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Question (5)

QN0019123

A student writes y+2(y+2) = (y+2)^2. Which statement is true?

(A) Correct identity
(B) Both sides are always equal
(C) Left side equals 3y+4
(D) Left side equals y^2+4y+4

Correct Answer: C

Explanation:

y+2(y+2)=y+2y+4=3y+4

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Question (6)

QN0019124

The correct simplification of y+2(y+2) is

(A) y^2+4y+4
(B) 3y+4
(C) 2y+2
(D) y+4

Correct Answer: B

Explanation:

y+2y+4 = 3y+4

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Question (7)

QN0019125

A student expands (5m+6n)^2 as 25m^2+36n^2. Which term is missing?

(A) 11mn
(B) 30mn
(C) 60mn
(D) 36mn

Correct Answer: C

Explanation:

Missing middle term is 2ab = 60mn

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Question (8)

QN0019126

The correct expansion of (5m+6n)^2 is

(A) 25m^2+60mn+36n^2
(B) 25m^2+30mn+36n^2
(C) 25m^2+36n^2
(D) 5m^2+60mn+6n^2

Correct Answer: A

Explanation:

(a+b)^2 = a^2+2ab+b^2

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Question (9)

QN0019127

A student writes (-q+2)^2 = q^2-4q+4. Is the answer correct?

(A) Yes
(B) No, middle term should be positive
(C) No, constant term is wrong
(D) No, first term is wrong

Correct Answer: A

Explanation:

(-q+2)^2 = q^2 - 4q + 4

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Question (10)

QN0019128

The expansion of (-q+2)^2 is

(A) q^2+4q+4
(B) q^2-4q+4
(C) q^2-2q+4
(D) q^2+2q+4

Correct Answer: B

Explanation:

Apply (a-b)^2 formula

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Question (1)

A student writes -3p(-5p+2q) = -3p + 5p - 2q. What is the correct simplification?

Explanation:

Link:

Question (2)

In -3p(-5p+2q), the mistake occurs because

Explanation:

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Question (3)

A student simplifies 2(x-1)+3(x+4) as 2x-1+3x+4. The correct answer is

Explanation:

Link:

Question (4)

What mistake was made in simplifying 2(x-1) as 2x-1?

Explanation:

Link:

Question (5)

A student writes y+2(y+2) = (y+2)^2. Which statement is true?

Explanation:

Link:

Question (6)

The correct simplification of y+2(y+2) is

Explanation:

Link:

Question (7)

A student expands (5m+6n)^2 as 25m^2+36n^2. Which term is missing?

Explanation:

Link:

Question (8)

The correct expansion of (5m+6n)^2 is

Explanation:

Link:

Question (9)

A student writes (-q+2)^2 = q^2-4q+4. Is the answer correct?

Explanation:

Link:

Question (10)

The expansion of (-q+2)^2 is

Explanation:

Link:

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