Related questions grouped automatically for chapter-wise practice. Topics include Definition of polynomial, Degree of polynomial, Algebraic expressions, Linear growth and decay, Linear polynomials.
Related questions grouped automatically for chapter-wise practice.
Mathematics Introduction To Polynomials ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Introduction To Polynomials ko easy tarike se practice aur revise kar sake.
Difficulty select karke Mathematics / Introduction To Polynomials chapter-filtered timed practice karein. Har button me live question count show hoga.
In the expression (3x+7), which is the variable?
B. (x)
चर वह राशि है जिसका मान बदल सकता है। यहां (x) बदल सकता है। / A variable is a quantity whose value can change. Here (x) can change.
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In the expression (5y-9), which is the constant term?
D. (-9)
नियतांक पद में कोई चर नहीं होता। इसलिए (-9) नियतांक पद है। / A constant term has no variable. Therefore (-9) is the constant term.
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What is the coefficient of (a) in the expression (8a)?
A. (8)
चर के साथ गुणा हुआ संख्यात्मक भाग गुणांक होता है। (8a) में (a) का गुणांक (8) है। / The numerical part multiplied with the variable is the coefficient. In (8a), the coefficient of (a) is (8).
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How many terms are there in the expression (p+q+4)?
C. (3)
पद (p), (q), और (4) हैं। इसलिए कुल (3) पद हैं। / The terms are (p), (q), and (4). So there are (3) terms.
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Which expression is a monomial?
A. (7m)
एकपदी में केवल एक पद होता है। (7m) में एक ही पद है। / A monomial has only one term. (7m) has one term.
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Which expression is a binomial?
B. (x+6)
द्विपदी में दो पद होते हैं। (x+6) में (x) और (6) दो पद हैं। / A binomial has two terms. (x+6) has two terms (x) and (6).
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Which expression is a trinomial?
C. (a+b+c)
त्रिपदी में तीन पद होते हैं। (a+b+c) में तीन पद हैं। / A trinomial has three terms. (a+b+c) has three terms.
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What is the simplified form of (4x+3x)?
A. (7x)
समान पदों के गुणांक जोड़े जाते हैं। (4x+3x=7x)। / Coefficients of like terms are added. (4x+3x=7x).
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What is the value of the expression (9y-2y)?
B. (7y)
समान पदों में गुणांक घटाए जाते हैं। (9y-2y=7y)। / In like terms, coefficients are subtracted. (9y-2y=7y).
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What is the value of (2x+5) when (x=3)?
C. (11)
(x=3) रखने पर (2x+5=2(3)+5=11)। पहले गुणा फिर जोड़ करें। / Putting (x=3), (2x+5=2(3)+5=11). Multiply first and then add.
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What is the value of (a-4) when (a=10)?
B. (6)
(a=10) रखने पर (a-4=10-4=6)। मान रखने के बाद सामान्य घटाव करें। / Putting (a=10), (a-4=10-4=6). After substitution, do ordinary subtraction.
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What is the value of (3m+2) when (m=4)?
B. (14)
(m=4) रखने पर (3m+2=3(4)+2=14)। कोष्ठक का प्रयोग गलती कम करता है। / Putting (m=4), (3m+2=3(4)+2=14). Using brackets reduces mistakes.
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What is the value of (12-2t) when (t=5)?
A. (2)
(t=5) रखने पर (12-2t=12-10=2)। पहले (2t) का मान निकालें। / Putting (t=5), (12-2t=12-10=2). Find the value of (2t) first.
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How will you write (x) more than (5) in algebraic form?
B. (x+5)
(5) से अधिक का अर्थ (5) जोड़ना है। इसलिए सही व्यंजक (x+5) है। / More than (5) means adding (5). So the correct expression is (x+5).
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Which expression represents three times (y)?
C. (3y)
तीन गुना का अर्थ (3) से गुणा है। इसलिए (3y) सही है। / Three times means multiplication by (3). Therefore (3y) is correct.
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How will you write (8) less than (n) in algebraic form?
D. (n-8)
(8) कम का अर्थ (8) घटाना है। इसलिए व्यंजक (n-8) होगा। / Less by (8) means subtracting (8). So the expression is (n-8).
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What is the coefficient of (p) in the expression (6p+1)?
A. (6)
(p) के साथ गुणा हुआ अंक (6) है। इसलिए (p) का गुणांक (6) है। / The number multiplied with (p) is (6). So the coefficient of (p) is (6).
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What is the coefficient of (z) in the expression (-4z+9)?
B. (-4)
चिह्न भी गुणांक का भाग होता है। इसलिए (z) का गुणांक (-4) है। / The sign is also part of the coefficient. Therefore, the coefficient of (z) is (-4).
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How many terms are there in \(x^2+4x+4\)?
C. (3)
पद \(x^2\), (4x), और (4) हैं। इसलिए यह (3) पदों वाला व्यंजक है। / The terms are \(x^2\), (4x), and (4). So it is an expression with (3) terms.
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A. (3x) और (5x)(3x) and (5x)
समान पदों में चर और उनकी घातें समान होती हैं। (3x) और (5x) में चर (x) समान है। / Like terms have the same variables with the same powers. (3x) and (5x) have the same variable (x).
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C. (5x) और (5y)(5x) and (5y)
असमान पदों में चर या घात अलग होती है। (5x) और (5y) में चर अलग हैं। / Unlike terms have different variables or powers. (5x) and (5y) have different variables.
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How many variables are there in the expression (2a+3b)?
C. (2)
इस व्यंजक में चर (a) और (b) हैं। इसलिए कुल (2) चर हैं। / The variables in this expression are (a) and (b). So there are (2) variables.
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Which one is only a numerical expression?
B. (7+5)
संख्यात्मक व्यंजक में कोई चर नहीं होता। (7+5) में केवल संख्याएं हैं। / A numerical expression has no variable. (7+5) has only numbers.
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Which one is an algebraic expression?
C. (2r-5)
बीजीय व्यंजक में सामान्यतः चर और संख्याएं होती हैं। (2r-5) में चर (r) है। / An algebraic expression usually contains variables and numbers. (2r-5) has the variable (r).
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What is the simplified form of (x+x+x)?
B. (3x)
तीन समान (x) पदों का योग (3x) होता है। जोड़ को घात न समझें। / The sum of three like terms (x) is (3x). Do not confuse addition with power.
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What is the simplified form of (4c+c)?
B. (5c)
(c) का गुणांक (1) माना जाता है। इसलिए (4c+c=5c)। / The coefficient of (c) is taken as (1). So (4c+c=5c).
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What is the simplified form of (10q-3q+q)?
C. (8q)
गुणांक (10-3+1=8) हैं। इसलिए व्यंजक (8q) बनता है। / The coefficients are (10-3+1=8). So the expression becomes (8q).
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In the expression (2x+3y), what type of terms are (2x) and (3y)?
B. असमान पदUnlike terms
(2x) और (3y) में चर अलग हैं। इसलिए ये असमान पद हैं। / (2x) and (3y) have different variables. Therefore they are unlike terms.
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What type of expression can (15) be considered?
B. नियतांक व्यंजकConstant expression
(15) में कोई चर नहीं है। इसलिए यह नियतांक व्यंजक है। / (15) has no variable. Therefore it is a constant expression.
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What is the numerical coefficient in the expression \(6x^2\)?
C. (6)
संख्यात्मक गुणांक चर वाले भाग से अलग संख्या होती है। \(6x^2\) में यह (6) है। / The numerical coefficient is the number part separate from the variable part. In \(6x^2\), it is (6).
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What is the coefficient of (x) in (-x+4)?
B. (-1)
(-x) का अर्थ (-1x) होता है। इसलिए (x) का गुणांक (-1) है। / (-x) means (-1x). So the coefficient of (x) is (-1).
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Which expression represents half of (k)?
C. \(\frac{k}{2}\)
आधा का अर्थ (2) से भाग देना है। इसलिए सही व्यंजक \(\frac{k}{2}\) है। / Half means dividing by (2). Therefore the correct expression is \(\frac{k}{2}\).
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How will you write adding (9) to twice (r)?
A. (2r+9)
(r) का दोगुना (2r) है और उसमें (9) जोड़ने पर (2r+9) मिलता है। वाक्य को क्रम से पढ़ें। / Twice (r) is (2r), and adding (9) gives (2r+9). Read the phrase in order.
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How will you write subtracting (7) from (4) times (s)?
B. (4s-7)
(s) का (4) गुना (4s) है और उसमें से (7) घटाने पर (4s-7) मिलता है। घटाव की दिशा ध्यान रखें। / Four times (s) is (4s), and subtracting (7) gives (4s-7). Pay attention to the direction of subtraction.
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What is the simplified form of (2a+5a-3)?
A. (7a-3)
(2a) और (5a) समान पद हैं। उनका योग (7a) है और (-3) अलग रहता है। / (2a) and (5a) are like terms. Their sum is (7a), and (-3) remains separate.
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In the expression \(b^2+2b\), what type of terms are \(b^2\) and (2b)?
B. असमान पदUnlike terms
इनमें चर समान है पर घात अलग है। इसलिए \(b^2\) और (2b) असमान पद हैं। / They have the same variable but different powers. Therefore \(b^2\) and (2b) are unlike terms.
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Which are the like terms in (3x+2x+5)?
A. (3x) और (2x)(3x) and (2x)
(3x) और (2x) में चर (x) समान घात के साथ है। इसलिए वे समान पद हैं। / (3x) and (2x) have the variable (x) with the same power. Therefore they are like terms.
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If (x=1), what is the value of \(x^2+2\)?
C. (3)
(x=1) रखने पर \(x^2+2=1^2+2=3\)। घात का मान पहले निकालें। / Putting (x=1), \(x^2+2=1^2+2=3\). Evaluate the power first.
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If (y=2), what is the value of \(y^2+y\)?
C. (6)
(y=2) रखने पर \(y^2+y=2^2+2=6\)। पहले \(y^2\) का मान निकालें। / Putting (y=2), \(y^2+y=2^2+2=6\). Find \(y^2\) first.
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What is the simplified form of (5u-2+u)?
B. (6u-2)
(5u+u=6u) और (-2) अलग रहता है। इसलिए सरल रूप (6u-2) है। / (5u+u=6u), and (-2) remains separate. So the simplified form is (6u-2).
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Which expression represents twice the sum of (x) and (y)?
C. (2(x+y))
पहले (x) और (y) का योग लिया जाता है। फिर पूरे योग को (2) से गुणा किया जाता है। / First the sum of (x) and (y) is taken. Then the whole sum is multiplied by (2).
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Which is the variable in the expression (7-3v)?
C. (v)
चर (v) है क्योंकि उसका मान बदल सकता है। संख्याएं (7) और (-3) स्थिर हैं। / The variable is (v) because its value can change. The numbers (7) and (-3) are fixed.
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What is the main difference between (a+b) and (ab)?
A. (a+b) योग है और (ab) गुणन है(a+b) is sum and (ab) is product
चिह्न (+) योग दिखाता है और साथ लिखना गुणन दिखाता है। इसलिए (a+b) और (ab) अलग व्यंजक हैं। / The sign (+) shows addition and writing together shows multiplication. So (a+b) and (ab) are different expressions.
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Which expression represents adding (3) to the square of (x)?
A. \(x^2+3\)
(x) का वर्ग \(x^2\) है और उसमें (3) जोड़ने पर \(x^2+3\) मिलता है। शब्दों में क्रम समझना जरूरी है। / The square of (x) is \(x^2\), and adding (3) gives \(x^2+3\). Understanding the order of words is important.
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What is the constant term in \(4x^2+3x+2\)?
C. (2)
नियतांक पद में चर नहीं होता। यहां (2) नियतांक पद है। / A constant term has no variable. Here (2) is the constant term.
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If (p=3), what is the value of (4p-1)?
C. (11)
(p=3) रखने पर (4p-1=4(3)-1=11)। गुणा पहले करें। / Putting (p=3), (4p-1=4(3)-1=11). Do multiplication first.
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What is the simplified form of (2x+3x+4x)?
A. (9x)
समान पदों के गुणांक (2+3+4=9) हैं। इसलिए सरल रूप (9x) है। / The coefficients of like terms are (2+3+4=9). Therefore the simplified form is (9x).
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What is the simplified form of (x+0)?
B. (x)
किसी व्यंजक में (0) जोड़ने से उसका मान नहीं बदलता। इसलिए (x+0=x)। / Adding (0) to an expression does not change its value. So (x+0=x).
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What is the simplified form of \(1\cdot x\)?
C. (x)
किसी चर को (1) से गुणा करने पर वही चर मिलता है। इसलिए \(1\cdot x=x\)। / Multiplying a variable by (1) gives the same variable. Therefore \(1\cdot x=x\).
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What is the simplified form of \(0\cdot y+6\)?
D. (6)
\(0\cdot y=0\), इसलिए \(0\cdot y+6=6\)। शून्य से गुणा हमेशा (0) देता है। / \(0\cdot y=0\), so \(0\cdot y+6=6\). Multiplication by zero always gives (0).
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Related questions grouped automatically for chapter-wise practice. Topics include Definition of polynomial, Degree of polynomial, Algebraic expressions, Linear growth and decay, Linear polynomials.
Start with Easy MCQs, review explanations after every answer, then move to Medium, Hard and Expert timed quizzes for stronger exam preparation.
Yes, this page includes topic-wise practice such as Definition of polynomial, Degree of polynomial, Algebraic expressions, Linear growth and decay, Linear polynomials, Slope and y-intercept.
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