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Question (11)

QN0019129

A student simplifies 3a(2b×3c) as 54a^2bc. The correct answer is

(A) 18abc
(B) 54abc
(C) 18a^2bc
(D) 6abc

Correct Answer: A

Explanation:

3×2×3=18abc

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Question (12)

QN0019130

The mistake in obtaining 54a^2bc is

(A) wrong sign
(B) multiplying a with itself unnecessarily
(C) subtraction error
(D) squaring variables

Correct Answer: B

Explanation:

a was multiplied incorrectly

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Question (13)

QN0019131

A student simplifies 1/2(10s-6)+3 = 5s. The correct answer is

(A) 5s+3
(B) 5s
(C) 5s-3
(D) 10s

Correct Answer: B

Explanation:

1/2(10s-6)+3 = 5s-3+3 = 5s

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Question (14)

QN0019132

Why is 1/2(10s-6)+3 = 5s correct?

(A) -3+3=0
(B) 5s=10s
(C) distributive property fails
(D) constants cannot be added

Correct Answer: A

Explanation:

-3 + 3 = 0

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Question (15)

QN0019133

A student writes 5w^2+6w=11w^2. Why is this incorrect?

(A) coefficients are wrong
(B) terms are unlike terms
(C) variables are wrong
(D) powers should be added

Correct Answer: B

Explanation:

w^2 and w are unlike terms

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Question (16)

QN0019134

Which expression cannot be simplified further?

(A) 5w^2+6w
(B) 5w^2+6w^2
(C) 7a+3a
(D) 4x^2+x^2

Correct Answer: A

Explanation:

Unlike terms cannot be combined

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Question (17)

QN0019135

A student simplifies 2a^3+3a^3+6a^2b+6ab^2 as 5a^3+12a^2b^2. Correct is

(A) 5a^3+12a^2b^2
(B) 5a^3+6a^2b+6ab^2
(C) 11a^3b^2
(D) 17a^3b^2

Correct Answer: B

Explanation:

Combine like terms only

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Question (18)

QN0019136

Which pair are like terms?

(A) 6a^2b and 6ab^2
(B) 2a^3 and 3a^3
(C) a^2b and ab
(D) a^2 and a^3

Correct Answer: B

Explanation:

Same variables and powers

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Question (19)

QN0019137

A student writes (a+2)(b+4)=ab+8. Missing terms are

(A) 2b and 4a
(B) ab and 8
(C) a+b
(D) none

Correct Answer: A

Explanation:

FOIL expansion missing middle terms

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Question (20)

QN0019138

Correct expansion of (a+2)(b+4) is

(A) ab+8
(B) ab+2b+4a+8
(C) ab+2a+4b+8
(D) ab+6

Correct Answer: B

Explanation:

FOIL method

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Question (11)

A student simplifies 3a(2b×3c) as 54a^2bc. The correct answer is

Explanation:

Link:

Question (12)

The mistake in obtaining 54a^2bc is

Explanation:

Link:

Question (13)

A student simplifies 1/2(10s-6)+3 = 5s. The correct answer is

Explanation:

Link:

Question (14)

Why is 1/2(10s-6)+3 = 5s correct?

Explanation:

Link:

Question (15)

A student writes 5w^2+6w=11w^2. Why is this incorrect?

Explanation:

Link:

Question (16)

Which expression cannot be simplified further?

Explanation:

Link:

Question (17)

A student simplifies 2a^3+3a^3+6a^2b+6ab^2 as 5a^3+12a^2b^2. Correct is

Explanation:

Link:

Question (18)

Which pair are like terms?

Explanation:

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Question (19)

A student writes (a+2)(b+4)=ab+8. Missing terms are

Explanation:

Link:

Question (20)

Correct expansion of (a+2)(b+4) is

Explanation:

Link:

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