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Class 9 Mathematics - Introduction to Polynomials - Algebraic expressions Medium Quiz

Mathematics Introduction to Polynomials Algebraic expressions Medium Class 9 Level 23

Level 23 • 50/50 questions • 35 seconds per question.

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Question 1/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(4x^2-3x+7\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in the expression \(4x^2-3x+7\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

\(x^2\) के साथ गुणा हुई संख्या (4) है। गुणांक में चिह्न और संख्या दोनों देखें। / The number multiplied with \(x^2\) is (4). Check both sign and number in a coefficient.

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Question 2/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (6a-5b+9) में कौन सा पद नियतांक है?

Which term is constant in the expression (6a-5b+9)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

नियतांक पद में कोई चर नहीं होता। यहां (9) बिना चर वाला पद है। / A constant term has no variable. Here (9) is the term without a variable.

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Question 3/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(3p^2+2p-8\) में कुल कितने पद हैं?

How many terms are there in \(3p^2+2p-8\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

पद \(3p^2\), (2p), और (-8) हैं। इसलिए कुल (3) पद हैं। / The terms are \(3p^2\), (2p), and (-8). So there are (3) terms.

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Question 4/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा युग्म समान पदों का है?

Which pair is a pair of like terms?

Explanation opens after your attempt
Correct Answer

C. (-4ab) और (9ab)(-4ab) and (9ab)

Explanation

Simple Explanation

समान पदों में चर वाला भाग समान होता है। (-4ab) और (9ab) में चर वाला भाग (ab) समान है। / Like terms have the same variable part. In (-4ab) and (9ab), the variable part (ab) is the same.

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Question 5/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (7x+4-2x+9) का सरल रूप क्या है?

What is the simplified form of (7x+4-2x+9)?

Explanation opens after your attempt
Correct Answer

A. (5x+13)

Explanation

Simple Explanation

समान पद जोड़ने पर (7x-2x=5x) और (4+9=13)। इसलिए सरल रूप (5x+13) है। / Combining like terms gives (7x-2x=5x) and (4+9=13). So the simplified form is (5x+13).

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Question 6/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2(3y-5)) को खोलने पर क्या मिलेगा?

What is obtained by expanding (2(3y-5))?

Explanation opens after your attempt
Correct Answer

B. (6y-10)

Explanation

Simple Explanation

(2) को (3y) और (-5) दोनों से गुणा करें। इसलिए (2(3y-5)=6y-10)। / Multiply (2) by both (3y) and (-5). Therefore (2(3y-5)=6y-10).

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Question 7/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a=3), तो \(2a^2-a+1\) का मान क्या होगा?

If (a=3), what is the value of \(2a^2-a+1\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

मान रखने पर (2a-2-a+1=2\(3^2\)-3+1=16)। पहले घात फिर गुणा करें। / Substituting gives (2a-2-a+1=2\(3^2\)-3+1=16). Evaluate powers before multiplication.

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Question 8/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2) और (y=5), तो (3x+y) का मान क्या होगा?

If (x=2) and (y=5), what is the value of (3x+y)?

Explanation opens after your attempt
Correct Answer

D. (11)

Explanation

Simple Explanation

(3x+y=3(2)+5=11)। दो चर वाले प्रश्न में दोनों मान सही जगह रखें। / (3x+y=3(2)+5=11). In two-variable questions, substitute both values in the correct places.

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Question 9/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(n) के वर्ग के तीन गुने में (4) जोड़ने का व्यंजक कौन सा है?

Which expression represents adding (4) to three times the square of (n)?

Explanation opens after your attempt
Correct Answer

A. \(3n^2+4\)

Explanation

Simple Explanation

(n) का वर्ग \(n^2\) है और उसका तीन गुना \(3n^2\) है। उसमें (4) जोड़ने पर \(3n^2+4\) मिलता है। / The square of (n) is \(n^2\), and three times it is \(3n^2\). Adding (4) gives \(3n^2+4\).

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Question 10/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(5r^2-2r^2+6r\) का सरल रूप क्या है?

What is the simplified form of \(5r^2-2r^2+6r\)?

Explanation opens after your attempt
Correct Answer

B. \(3r^2+6r\)

Explanation

Simple Explanation

\(5r^2\) और \(-2r^2\) समान पद हैं। उनका योग \(3r^2\) है और (6r) अलग रहता है। / \(5r^2\) and \(-2r^2\) are like terms. Their sum is \(3r^2\), and (6r) remains separate.

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Question 11/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

निम्न में से कौन सा व्यंजक द्विपदी है?

Which of the following expressions is a binomial?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-7\)

Explanation

Simple Explanation

द्विपदी में दो पद होते हैं। \(4x^2-7\) में \(4x^2\) और (-7) दो पद हैं। / A binomial has two terms. \(4x^2-7\) has the two terms \(4x^2\) and (-7).

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Question 12/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (-3xy+8xy-2) का सरल रूप क्या है?

What is the simplified form of (-3xy+8xy-2)?

Explanation opens after your attempt
Correct Answer

B. (5xy-2)

Explanation

Simple Explanation

(-3xy+8xy=5xy) और (-2) अलग रहता है। इसलिए सही रूप (5xy-2) है। / (-3xy+8xy=5xy), and (-2) remains separate. So the correct form is (5xy-2).

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Question 13/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (p=-2), तो \(p^2+3p\) का मान क्या होगा?

If (p=-2), what is the value of \(p^2+3p\)?

Explanation opens after your attempt
Correct Answer

A. (-2)

Explanation

Simple Explanation

(p=-2) रखने पर \(p^2+3p=4-6=-2\)। ऋणात्मक मान का वर्ग धनात्मक होता है। / Putting (p=-2), \(p^2+3p=4-6=-2\). The square of a negative value is positive.

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Question 14/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (9m-4n+2m-6n) का सरल रूप क्या है?

What is the simplified form of (9m-4n+2m-6n)?

Explanation opens after your attempt
Correct Answer

C. (11m-10n)

Explanation

Simple Explanation

(9m+2m=11m) और (-4n-6n=-10n)। इसलिए सरल रूप (11m-10n) है। / (9m+2m=11m) and (-4n-6n=-10n). So the simplified form is (11m-10n).

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Question 15/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(5) कम है (2x) और (3) के योग से। इसका सही व्यंजक कौन सा है?

(5) less than the sum of (2x) and (3). Which is the correct expression?

Explanation opens after your attempt
Correct Answer

D. (2x+3-5)

Explanation

Simple Explanation

पहले योग (2x+3) है और फिर उसमें से (5) घटता है। इसलिए व्यंजक (2x+3-5) है। / First the sum is (2x+3), and then (5) is subtracted from it. So the expression is (2x+3-5).

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Question 16/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (3(x+2)+4x) का सरल रूप क्या है?

What is the simplified form of (3(x+2)+4x)?

Explanation opens after your attempt
Correct Answer

A. (7x+6)

Explanation

Simple Explanation

पहले (3(x+2)=3x+6) करें। फिर (3x+4x=7x) जोड़कर (7x+6) मिलेगा। / First expand (3(x+2)=3x+6). Then combine (3x+4x=7x) to get (7x+6).

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Question 17/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (a) और (b) के अंतर के (4) गुने को दर्शाता है?

Which expression represents (4) times the difference of (a) and (b)?

Explanation opens after your attempt
Correct Answer

C. (4(a-b))

Explanation

Simple Explanation

(a) और (b) का अंतर (a-b) है। उसके (4) गुने के लिए पूरा अंतर कोष्ठक में रखें। / The difference of (a) and (b) is (a-b). For (4) times it, keep the whole difference in brackets.

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Question 18/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (u=1) और (v=-3), तो (u-2v) का मान क्या होगा?

If (u=1) and (v=-3), what is the value of (u-2v)?

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

(u-2v=1-2(-3)=1+6=7)। ऋणात्मक संख्या से गुणा करते समय चिह्न पर ध्यान दें। / (u-2v=1-2(-3)=1+6=7). Pay attention to signs while multiplying a negative number.

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Question 19/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(12c^2-5c+3c^2-2c\) का सरल रूप क्या है?

What is the simplified form of \(12c^2-5c+3c^2-2c\)?

Explanation opens after your attempt
Correct Answer

A. \(15c^2-7c\)

Explanation

Simple Explanation

\(12c^2+3c^2=15c^2\) और (-5c-2c=-7c)। समान पद अलग-अलग जोड़ें। / \(12c^2+3c^2=15c^2\) and (-5c-2c=-7c). Combine like terms separately.

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Question 20/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(4x^2y\) में चर वाला भाग कौन सा है?

What is the variable part in \(4x^2y\)?

Explanation opens after your attempt
Correct Answer

B. \(x^2y\)

Explanation

Simple Explanation

संख्यात्मक गुणांक (4) को हटाने पर चर वाला भाग \(x^2y\) बचता है। पद को गुणांक और चर भाग में बांटकर देखें। / After removing the numerical coefficient (4), the variable part \(x^2y\) remains. View a term as coefficient and variable part.

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Question 21/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(2x^2\) और \(-5x^2\) के योग का सही परिणाम है?

Which option gives the correct sum of \(2x^2\) and \(-5x^2\)?

Explanation opens after your attempt
Correct Answer

C. \(-3x^2\)

Explanation

Simple Explanation

गुणांक (2+(-5)=-3) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(-3x^2\) है। / The coefficients are (2+(-5)=-3), and the variable part \(x^2\) stays the same. So the sum is \(-3x^2\).

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Question 22/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (5(a-2)-2(a+1)) का सरल रूप क्या है?

What is the simplified form of (5(a-2)-2(a+1))?

Explanation opens after your attempt
Correct Answer

A. (3a-12)

Explanation

Simple Explanation

खोलने पर (5a-10-2a-2=3a-12) मिलता है। ऋण चिह्न को पूरे कोष्ठक पर लागू करें। / On expanding, (5a-10-2a-2=3a-12). Apply the negative sign to the whole bracket.

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Question 23/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=-1), तो \(x^2-4x+3\) का मान क्या होगा?

If (x=-1), what is the value of \(x^2-4x+3\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(x=-1) रखने पर (1+4+3=8) मिलता है। (-4(-1)) का मान (4) होगा। / Putting (x=-1) gives (1+4+3=8). The value of (-4(-1)) is (4).

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Question 24/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में (x) का गुणांक (0) है?

In which expression is the coefficient of (x) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(x^2+6\)

Explanation

Simple Explanation

\(x^2+6\) में (x) का प्रथम घात वाला पद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / In \(x^2+6\), there is no first-power (x) term. So the coefficient of (x) is taken as (0).

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Question 25/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (8k-3(2k-1)) का सरल रूप क्या है?

What is the simplified form of (8k-3(2k-1))?

Explanation opens after your attempt
Correct Answer

B. (2k+3)

Explanation

Simple Explanation

(8k-3(2k-1)=8k-6k+3=2k+3)। कोष्ठक से पहले ऋणात्मक गुणन ध्यान से करें। / (8k-3(2k-1)=8k-6k+3=2k+3). Handle negative multiplication before brackets carefully.

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Question 26/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि आयत की लंबाई (x+4) और चौड़ाई (x-1) है, तो परिमाप का व्यंजक क्या होगा?

If the length of a rectangle is (x+4) and breadth is (x-1), what is the expression for its perimeter?

Explanation opens after your attempt
Correct Answer

B. (4x+6)

Explanation

Simple Explanation

परिमाप (2[(x+4)+(x-1)]=2(2x+3)=4x+6) है। पहले लंबाई और चौड़ाई जोड़ें। / The perimeter is (2[(x+4)+(x-1)]=2(2x+3)=4x+6). Add length and breadth first.

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Question 27/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (x(x+3)) को खोलने पर क्या मिलेगा?

What is obtained by expanding (x(x+3))?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x\)

Explanation

Simple Explanation

(x) को (x) और (3) दोनों से गुणा करें। इससे \(x^2+3x\) मिलता है। / Multiply (x) by both (x) and (3). This gives \(x^2+3x\).

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Question 28/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (m=2) और (n=4), तो \(mn+m^2\) का मान क्या होगा?

If (m=2) and (n=4), what is the value of \(mn+m^2\)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(mn+m-2=2(4)+22=8+4=12)। गुणन और घात दोनों सही क्रम में करें। / (mn+m-2=2(4)+22=8+4=12). Do multiplication and powers in the correct order.

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Question 29/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा कथन (xy) और (x+y) के बारे में सही है?

Which statement about (xy) and (x+y) is correct?

Explanation opens after your attempt
Correct Answer

B. (xy) गुणन है और (x+y) योग है(xy) is product and (x+y) is sum

Explanation

Simple Explanation

साथ लिखे गए चर गुणन दर्शाते हैं और (+) चिह्न योग दर्शाता है। इसलिए (xy) और (x+y) अलग व्यंजक हैं। / Variables written together show multiplication and the (+) sign shows addition. So (xy) and (x+y) are different expressions.

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Question 30/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (6x-2(3x-5)) का सरल रूप क्या है?

What is the simplified form of (6x-2(3x-5))?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(6x-2(3x-5)=6x-6x+10=10)। समान पद कट सकते हैं इसलिए अंतिम उत्तर नियतांक हो सकता है। / (6x-2(3x-5)=6x-6x+10=10). Like terms can cancel, so the final answer may be a constant.

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Question 31/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(3) लगातार पूर्णांकों में पहला (n) है। उनका योग किस व्यंजक से दर्शेगा?

The first of (3) consecutive integers is (n). Which expression represents their sum?

Explanation opens after your attempt
Correct Answer

B. (3n+3)

Explanation

Simple Explanation

तीन पूर्णांक (n), (n+1), और (n+2) होंगे। उनका योग (3n+3) है। / The three integers are (n), (n+1), and (n+2). Their sum is (3n+3).

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Question 32/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(2x^2+5x-3x^2+x\) का सरल रूप क्या है?

What is the simplified form of \(2x^2+5x-3x^2+x\)?

Explanation opens after your attempt
Correct Answer

A. \(-x^2+6x\)

Explanation

Simple Explanation

\(2x^2-3x^2=-x^2\) और (5x+x=6x)। अलग घात वाले पदों को अलग जोड़ें। / \(2x^2-3x^2=-x^2\) and (5x+x=6x). Combine terms with different powers separately.

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Question 33/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(4a^2b\) और \(-7a^2b\) का अंतर (4a-2b-\(-7a^2b\)) सही है?

Which option correctly gives the difference (4a-2b-\(-7a^2b\))?

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Correct Answer

B. \(11a^2b\)

Explanation

Simple Explanation

ऋणात्मक पद घटाने का अर्थ जोड़ना है। इसलिए \(4a^2b+7a^2b=11a^2b\)। / Subtracting a negative term means addition. So \(4a^2b+7a^2b=11a^2b\).

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Question 34/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=3), तो (2(x+4)-x-2) का मान क्या होगा?

If (x=3), what is the value of (2(x+4)-x-2)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(2(3+4)-32=14-9=5)। पहले कोष्ठक और घात का मान निकालें। / (2(3+4)-32=14-9=5). Evaluate brackets and powers first.

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Question 35/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) के तीन गुने और (y) के दोगुने के योग को दर्शाता है?

Which expression represents the sum of three times (x) and twice (y)?

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Correct Answer

B. (3x+2y)

Explanation

Simple Explanation

(x) का तीन गुना (3x) और (y) का दोगुना (2y) है। उनका योग (3x+2y) है। / Three times (x) is (3x) and twice (y) is (2y). Their sum is (3x+2y).

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Question 36/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (10-3(2-z)) का सरल रूप क्या है?

What is the simplified form of (10-3(2-z))?

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Correct Answer

C. (4+3z)

Explanation

Simple Explanation

(10-3(2-z)=10-6+3z=4+3z)। ऋण चिह्न को कोष्ठक के हर पद पर लागू करें। / (10-3(2-z)=10-6+3z=4+3z). Apply the negative sign to every term in the bracket.

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Question 37/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(3x^2y-2xy^2\) में पद \(3x^2y\) और \(-2xy^2\) कैसे पद हैं?

In the expression \(3x^2y-2xy^2\), what type of terms are \(3x^2y\) and \(-2xy^2\)?

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Correct Answer

B. असमान पदUnlike terms

Explanation

Simple Explanation

दोनों में चर हैं पर घातों का क्रम अलग है। इसलिए वे असमान पद हैं। / Both have variables, but their powers are different. Therefore they are unlike terms.

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Question 38/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि एक संख्या (x) है और दूसरी संख्या उससे (6) अधिक है, तो दोनों का योग क्या होगा?

If one number is (x) and another number is (6) more than it, what is their sum?

Explanation opens after your attempt
Correct Answer

A. (2x+6)

Explanation

Simple Explanation

दूसरी संख्या (x+6) है। योग (x+(x+6)=2x+6) होगा। / The second number is (x+6). The sum is (x+(x+6)=2x+6).

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Question 39/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2x+3y-5x+y) का सरल रूप क्या है?

What is the simplified form of (2x+3y-5x+y)?

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Correct Answer

A. (-3x+4y)

Explanation

Simple Explanation

(2x-5x=-3x) और (3y+y=4y)। इसलिए सरल रूप (-3x+4y) है। / (2x-5x=-3x) and (3y+y=4y). So the simplified form is (-3x+4y).

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Question 40/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन सा व्यंजक (x) को (3) से घटाकर परिणाम को (5) से गुणा करता है?

Which expression subtracts (3) from (x) and then multiplies the result by (5)?

Explanation opens after your attempt
Correct Answer

C. (5(x-3))

Explanation

Simple Explanation

पहले (x-3) बनता है और फिर पूरे परिणाम को (5) से गुणा किया जाता है। इसलिए (5(x-3)) सही है। / First (x-3) is formed, and then the whole result is multiplied by (5). So (5(x-3)) is correct.

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Question 41/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a=4) और (b=2), तो \(a^2-b^2\) का मान क्या होगा?

If (a=4) and (b=2), what is the value of \(a^2-b^2\)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

\(a^2-b^2=4^2-2^2=16-4=12\)। दोनों वर्ग अलग-अलग निकालें। / \(a^2-b^2=4^2-2^2=16-4=12\). Find both squares separately.

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Question 42/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक \(\frac{x}{2}+x\) का सरल रूप क्या है?

What is the simplified form of \(\frac{x}{2}+x\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3x}{2}\)

Explanation

Simple Explanation

(x) को \(\frac{2x}{2}\) लिख सकते हैं। इसलिए \(\frac{x}{2}+x=\frac{3x}{2}\)। / We can write (x) as \(\frac{2x}{2}\). Thus \(\frac{x}{2}+x=\frac{3x}{2}\).

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Question 43/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (4(2x-1)+3) का सरल रूप क्या है?

What is the simplified form of (4(2x-1)+3)?

Explanation opens after your attempt
Correct Answer

A. (8x-1)

Explanation

Simple Explanation

(4(2x-1)=8x-4) और (8x-4+3=8x-1)। पहले कोष्ठक खोलें। / (4(2x-1)=8x-4) and (8x-4+3=8x-1). Expand the bracket first.

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Question 44/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (3x+2) और (x-5) का योग सही है?

Which option gives the correct sum of (3x+2) and (x-5)?

Explanation opens after your attempt
Correct Answer

B. (4x-3)

Explanation

Simple Explanation

योग ((3x+2)+(x-5)=4x-3) है। समान पदों को जोड़ें और नियतांक अलग जोड़ें। / The sum is ((3x+2)+(x-5)=4x-3). Combine like terms and constants separately.

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Question 45/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (7x-4) में से (2x+3) घटाने पर क्या मिलेगा?

What is obtained by subtracting (2x+3) from (7x-4)?

Explanation opens after your attempt
Correct Answer

C. (5x-7)

Explanation

Simple Explanation

((7x-4)-(2x+3)=7x-4-2x-3=5x-7)। घटाए गए व्यंजक के दोनों पदों का चिह्न बदलें। / ((7x-4)-(2x+3)=7x-4-2x-3=5x-7). Change the signs of both terms of the subtracted expression.

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Question 46/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2), तो \(x^3+x\) का मान क्या होगा?

If (x=2), what is the value of \(x^3+x\)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

\(x^3+x=2^3+2=8+2=10\)। घात का मान पहले निकालना चाहिए। / \(x^3+x=2^3+2=8+2=10\). The power should be evaluated first.

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Question 47/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (-2x(3x-4)) का सही विस्तार है?

Which option gives the correct expansion of (-2x(3x-4))?

Explanation opens after your attempt
Correct Answer

A. \(-6x^2+8x\)

Explanation

Simple Explanation

(-2x) को (3x) और (-4) दोनों से गुणा करें। इससे \(-6x^2+8x\) मिलेगा। / Multiply (-2x) by both (3x) and (-4). This gives \(-6x^2+8x\).

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Question 48/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(x) और (4) के योग का वर्ग सीधे कौन सा व्यंजक दिखाता है?

Which expression directly shows the square of the sum of (x) and (4)?

Explanation opens after your attempt
Correct Answer

D. ((x+4)2)

Explanation

Simple Explanation

पहले योग (x+4) लिया जाता है। फिर पूरे योग का वर्ग करने के लिए ((x+4)2) लिखते हैं। / First the sum (x+4) is taken. To square the whole sum, we write ((x+4)2).

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Question 49/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

व्यंजक (2x+3y+4z) में (y) का गुणांक क्या है?

What is the coefficient of (y) in (2x+3y+4z)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(y) के साथ गुणा हुई संख्या (3) है। इसलिए (y) का गुणांक (3) है। / The number multiplied with (y) is (3). Therefore the coefficient of (y) is (3).

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Question 50/50 Medium Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (r=5), तो \(\frac{r+7}{2}\) का मान क्या होगा?

If (r=5), what is the value of \(\frac{r+7}{2}\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(r=5) रखने पर \(\frac{r+7}{2}=\frac{12}{2}=6\)। भिन्न में पहले हर और अंश को सही पहचानें। / Putting (r=5), \(\frac{r+7}{2}=\frac{12}{2}=6\). In a fraction, identify numerator and denominator correctly.

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