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equivalent-expression MCQ Questions for Class 9

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13 questions tagged with equivalent-expression.

Question 1/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=3) और (y=2), तो \(x^2y-xy^2\) और (xy(x-y)) के बारे में सही कथन कौन-सा है?

If (x=3) and (y=2), which statement is correct about \(x^2y-xy^2\) and (xy(x-y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Step 1

Concept

(x-2y-xy-2=xy(x-y)) are equivalent forms. For the given values, both equal (6).

Step 2

Why this answer is correct

The correct answer is C. दोनों बराबर हैं / Both are equal. (x-2y-xy-2=xy(x-y)) are equivalent forms. For the given values, both equal (6).

Step 3

Exam Tip

(x-2y-xy-2=xy(x-y)) समान रूप हैं। दिए मानों पर दोनों का मान (6) है।

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Question 2/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा विकल्प (3(2x+y)-5(x-2y)+2x) के बराबर है?

Which option is equal to (3(2x+y)-5(x-2y)+2x)?

Explanation opens after your attempt
Correct Answer

A. (3x+13y)

Step 1

Concept

Expanding gives (6x+3y-5x+10y+2x). Combining like terms gives (3x+13y).

Step 2

Why this answer is correct

The correct answer is A. (3x+13y). Expanding gives (6x+3y-5x+10y+2x). Combining like terms gives (3x+13y).

Step 3

Exam Tip

खोलने पर (6x+3y-5x+10y+2x) मिलता है। समान पद मिलाकर (3x+13y) बनेगा।

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Question 3/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस व्यंजक का सरल रूप \(6x^2-13x\) है?

Which expression has the simplified form \(6x^2-13x\)?

Explanation opens after your attempt
Correct Answer

A. (x(6x-13))

Step 1

Concept

Expanding (x(6x-13)) gives \(6x^2-13x\). Use the distributive rule to check options.

Step 2

Why this answer is correct

The correct answer is A. (x(6x-13)). Expanding (x(6x-13)) gives \(6x^2-13x\). Use the distributive rule to check options.

Step 3

Exam Tip

(x(6x-13)) खोलने पर \(6x^2-13x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ।

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Question 4/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) और (y=1), तो \(x^2y+xy^2\) और (xy(x+y)) के बारे में सही कथन कौन-सा है?

If (x=2) and (y=1), which statement is correct about \(x^2y+xy^2\) and (xy(x+y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Step 1

Concept

(x-2y+xy-2=xy(x+y)) are equivalent forms. For the given values, both equal (6).

Step 2

Why this answer is correct

The correct answer is C. दोनों बराबर हैं / Both are equal. (x-2y+xy-2=xy(x+y)) are equivalent forms. For the given values, both equal (6).

Step 3

Exam Tip

(x-2y+xy-2=xy(x+y)) समान रूप हैं। दिए मानों पर दोनों का मान (6) है।

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Question 5/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा विकल्प (2(3x-y)+4(x+2y)-5x) के बराबर है?

Which option is equal to (2(3x-y)+4(x+2y)-5x)?

Explanation opens after your attempt
Correct Answer

A. (5x+6y)

Step 1

Concept

Expanding gives (6x-2y+4x+8y-5x). Combining like terms gives (5x+6y).

Step 2

Why this answer is correct

The correct answer is A. (5x+6y). Expanding gives (6x-2y+4x+8y-5x). Combining like terms gives (5x+6y).

Step 3

Exam Tip

खोलने पर (6x-2y+4x+8y-5x) मिलता है। समान पद मिलाकर (5x+6y) बनेगा।

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Question 6/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक का सरल रूप \(4x^2-9x\) है?

Which expression has the simplified form \(4x^2-9x\)?

Explanation opens after your attempt
Correct Answer

A. (x(4x-9))

Step 1

Concept

Expanding (x(4x-9)) gives \(4x^2-9x\). Use the distributive rule to check options.

Step 2

Why this answer is correct

The correct answer is A. (x(4x-9)). Expanding (x(4x-9)) gives \(4x^2-9x\). Use the distributive rule to check options.

Step 3

Exam Tip

(x(4x-9)) खोलने पर \(4x^2-9x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ।

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Question 7/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2), (y=3), तो \(x^2y+xy^2\) और (xy(x+y)) के बारे में सही कथन कौन-सा है?

If (x=2), (y=3), which statement is correct about \(x^2y+xy^2\) and (xy(x+y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Step 1

Concept

(x-2y+xy-2=xy(x+y)) are equivalent forms. Substitution gives (30) for both.

Step 2

Why this answer is correct

The correct answer is C. दोनों बराबर हैं / Both are equal. (x-2y+xy-2=xy(x+y)) are equivalent forms. Substitution gives (30) for both.

Step 3

Exam Tip

(x-2y+xy-2=xy(x+y)) समान रूप हैं। दिए मान रखने पर दोनों (30) देते हैं।

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Question 8/13 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक का सरल रूप (5p-18) है?

Which expression has the simplified form (5p-18)?

Explanation opens after your attempt
Correct Answer

A. (3(2p-5)-(p+3))

Step 1

Concept

(3(2p-5)-(p+3)=6p-15-p-3=5p-18). Open brackets first to check options.

Step 2

Why this answer is correct

The correct answer is A. (3(2p-5)-(p+3)). (3(2p-5)-(p+3)=6p-15-p-3=5p-18). Open brackets first to check options.

Step 3

Exam Tip

(3(2p-5)-(p+3)=6p-15-p-3=5p-18)। विकल्प जाँचने के लिए पहले कोष्ठक खोलें।

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Question 9/13 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा विकल्प (6(x+1)-x) के बराबर है?

Which option is equal to (6(x+1)-x)?

Explanation opens after your attempt
Correct Answer

C. (5x+6)

Step 1

Concept

(6(x+1)-x=6x+6-x=5x+6). Combine like terms to identify the equivalent form.

Step 2

Why this answer is correct

The correct answer is C. (5x+6). (6(x+1)-x=6x+6-x=5x+6). Combine like terms to identify the equivalent form.

Step 3

Exam Tip

(6(x+1)-x=6x+6-x=5x+6)। समान पद मिलाकर बराबर रूप पहचानें।

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Question 10/13 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (2(a+b)-a) के बराबर है?

Which expression is equal to (2(a+b)-a)?

Explanation opens after your attempt
Correct Answer

A. (a+2b)

Step 1

Concept

(2(a+b)-a=2a+2b-a=a+2b). Expand first and then combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (a+2b). (2(a+b)-a=2a+2b-a=a+2b). Expand first and then combine like terms.

Step 3

Exam Tip

(2(a+b)-a=2a+2b-a=a+2b)। पहले कोष्ठक खोलें फिर समान पद मिलाएँ।

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Question 11/13 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक का सरल रूप (7x-14) है?

Which expression has the simplified form (7x-14)?

Explanation opens after your attempt
Correct Answer

C. (7(x-2))

Step 1

Concept

Expanding (7(x-2)) gives (7x-14). Use the distributive rule to check options.

Step 2

Why this answer is correct

The correct answer is C. (7(x-2)). Expanding (7(x-2)) gives (7x-14). Use the distributive rule to check options.

Step 3

Exam Tip

(7(x-2)) खोलने पर (7x-14) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ।

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Question 12/13 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा विकल्प (2(x+4)) के बराबर नहीं है?

Which option is not equal to (2(x+4))?

Explanation opens after your attempt
Correct Answer

C. (2x+4)

Step 1

Concept

Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).

Step 2

Why this answer is correct

The correct answer is C. (2x+4). Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).

Step 3

Exam Tip

(2(x+4)) खोलने पर (2x+8) मिलता है। (2x+4) में (4) को (2) से गुणा नहीं किया गया।

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Question 13/13 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 22

कौन-सा व्यंजक (2a-3b+5a-b) के बराबर है?

Which expression is equal to (2a-3b+5a-b)?

Explanation opens after your attempt
Correct Answer

B. (7a-4b)

Step 1

Concept

(2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.

Step 2

Why this answer is correct

The correct answer is B. (7a-4b). (2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.

Step 3

Exam Tip

(2a+5a=7a) और (-3b-b=-4b)। समान पदों को अलग-अलग जोड़ें।

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