Level 1 • 50/50 questions • 40 seconds per question.
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In the expression (7a-4), which is the constant term?
D. (-4)
A constant term has no variable. Here (-4) has no variable.
The correct answer is D. (-4). A constant term has no variable. Here (-4) has no variable.
स्थिर पद वह होता है जिसमें कोई चर नहीं होता। यहाँ (-4) चर के बिना है।
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What is the coefficient of (m) in (5m)?
A. (5)
The number multiplied with the variable is called the coefficient. In (5m), the coefficient of (m) is (5).
The correct answer is A. (5). The number multiplied with the variable is called the coefficient. In (5m), the coefficient of (m) is (5).
चर के साथ गुणा होने वाली संख्या गुणांक कहलाती है। (5m) में (m) का गुणांक (5) है।
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What is the simplified form of (3p+2p)?
C. (5p)
Coefficients of like terms are added. So (3p+2p=5p).
The correct answer is C. (5p). Coefficients of like terms are added. So (3p+2p=5p).
समान पदों के गुणांकों को जोड़ा जाता है। इसलिए (3p+2p=5p) होता है।
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Which of the following is a monomial?
B. (7y)
A monomial has only one term. (7y) is a single term.
The correct answer is B. (7y). A monomial has only one term. (7y) is a single term.
एकपदी में केवल एक पद होता है। (7y) एक ही पद है।
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How many terms are there in (4x+9)?
A. (2)
Terms are separated by (+) or (-) signs. (4x) and (9) are two terms.
The correct answer is A. (2). Terms are separated by (+) or (-) signs. (4x) and (9) are two terms.
पद (+) या (-) चिह्नों से अलग होते हैं। (4x) और (9) दो पद हैं।
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What type of polynomial is \(x^2+3x+2\)?
D. त्रिपदीTrinomial
It has three terms \(x^2\), (3x), and (2). A polynomial with three terms is called a trinomial.
The correct answer is D. त्रिपदी / Trinomial. It has three terms \(x^2\), (3x), and (2). A polynomial with three terms is called a trinomial.
इसमें तीन पद \(x^2\), (3x) और (2) हैं। तीन पद वाला बहुपद त्रिपदी कहलाता है।
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C. (4x)
For like terms, subtract the coefficients. (6x-2x=4x).
The correct answer is C. (4x). For like terms, subtract the coefficients. (6x-2x=4x).
समान पदों में गुणांकों को घटाया जाता है। (6x-2x=4x) होता है।
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What type of terms are (2a) and (3b)?
C. असमान पदUnlike terms
They have different variables, so they are not like terms. Such terms are called unlike terms.
The correct answer is C. असमान पद / Unlike terms. They have different variables, so they are not like terms. Such terms are called unlike terms.
इनमें चर अलग हैं इसलिए ये समान पद नहीं हैं। ऐसे पद असमान पद कहलाते हैं।
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If (a=2), what is the value of \(a^2+1\)?
A. (5)
Putting (a=2) gives \(2^2+1=5\). Calculate powers first.
The correct answer is A. (5). Putting (a=2) gives \(2^2+1=5\). Calculate powers first.
(a=2) रखने पर \(2^2+1=5\) मिलता है। घात की गणना पहले करें।
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In (x+4=9), what is the value of (x)?
B. (5)
Subtracting (4) from both sides gives (x=5). Keep the equation balanced.
The correct answer is B. (5). Subtracting (4) from both sides gives (x=5). Keep the equation balanced.
दोनों पक्षों से (4) घटाने पर (x=5) मिलता है। समीकरण में संतुलन बनाए रखें।
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What do we get by expanding (3(x+2))?
D. (3x+6)
Multiply (3) by both terms. So (3(x+2)=3x+6).
The correct answer is D. (3x+6). Multiply (3) by both terms. So (3(x+2)=3x+6).
(3) को दोनों पदों से गुणा करते हैं। इसलिए (3(x+2)=3x+6) होता है।
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How can (a+a+a) be written in short form?
A. (3a)
The sum of three (a) terms is (3a). Do not confuse addition with powers.
The correct answer is A. (3a). The sum of three (a) terms is (3a). Do not confuse addition with powers.
तीन समान (a) पदों का योग (3a) होता है। योग और घात में अंतर रखें।
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Which is the variable in (9q)?
C. (q)
A variable is a symbol whose value can change. In (9q), (q) is the variable.
The correct answer is C. (q). A variable is a symbol whose value can change. In (9q), (q) is the variable.
चर वह प्रतीक है जिसका मान बदल सकता है। (9q) में (q) चर है।
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What is the exponent in \(x^3\)?
D. (3)
In \(x^3\), the number (3) written above (x) is the exponent. The exponent tells the power of the variable.
The correct answer is D. (3). In \(x^3\), the number (3) written above (x) is the exponent. The exponent tells the power of the variable.
\(x^3\) में (x) के ऊपर लिखी संख्या (3) घात है। घात चर की शक्ति बताती है।
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What is the simplified form of (2x+3x+4)?
B. (5x+4)
(2x) and (3x) are like terms. Adding them gives (5x+4).
The correct answer is B. (5x+4). (2x) and (3x) are like terms. Adding them gives (5x+4).
(2x) और (3x) समान पद हैं। इन्हें जोड़ने पर (5x+4) मिलता है।
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What is the value of (4y+1) when (y=5)?
A. (21)
\(4\times5+1=21\). Substitute the value of the variable carefully.
The correct answer is A. (21). \(4\times5+1=21\). Substitute the value of the variable carefully.
\(4\times5+1=21\) होता है। चर का मान ध्यान से रखें।
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What is the simplified form of (10r-3r)?
D. (7r)
Subtract the coefficients (10) and (3) of like terms. The answer is (7r).
The correct answer is D. (7r). Subtract the coefficients (10) and (3) of like terms. The answer is (7r).
समान पदों के गुणांक (10) और (3) घटाए जाते हैं। उत्तर (7r) है।
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Which of the following is a binomial?
C. (p-6)
A binomial has two terms. (p-6) has two terms (p) and (-6).
The correct answer is C. (p-6). A binomial has two terms. (p-6) has two terms (p) and (-6).
द्विपदी में दो पद होते हैं। (p-6) में (p) और (-6) दो पद हैं।
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What is the expanded form of (5(x-1))?
B. (5x-5)
Multiply (5) by both (x) and (-1). So (5(x-1)=5x-5).
The correct answer is B. (5x-5). Multiply (5) by both (x) and (-1). So (5(x-1)=5x-5).
(5) को (x) और (-1) दोनों से गुणा करें। इसलिए (5(x-1)=5x-5)।
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What type of terms are \(m^2\) and (m)?
C. असमान पदUnlike terms
Like terms have the same variable with the same power. \(m^2\) and (m) have different powers.
The correct answer is C. असमान पद / Unlike terms. Like terms have the same variable with the same power. \(m^2\) and (m) have different powers.
समान पदों में चर और उनकी घात समान होती है। \(m^2\) और (m) में घात अलग है।
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In (2p=12), what is the value of (p)?
A. (6)
Dividing both sides by (2) gives (p=6). Use division to undo multiplication.
The correct answer is A. (6). Dividing both sides by (2) gives (p=6). Use division to undo multiplication.
दोनों पक्षों को (2) से भाग देने पर (p=6) मिलता है। गुणा को हटाने के लिए भाग करें।
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What is the coefficient of (x) in \(x^2+5x\)?
D. (5)
In the (x)-term (5x), the coefficient is (5). The term \(x^2\) is considered separately.
The correct answer is D. (5). In the (x)-term (5x), the coefficient is (5). The term \(x^2\) is considered separately.
(x) वाले पद (5x) में गुणांक (5) है। \(x^2\) का पद अलग माना जाता है।
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What is the simplest form of (7b+0)?
B. (7b)
Adding (0) to any term does not change its value. So (7b+0=7b).
The correct answer is B. (7b). Adding (0) to any term does not change its value. So (7b+0=7b).
किसी पद में (0) जोड़ने से उसका मान नहीं बदलता। इसलिए (7b+0=7b)।
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What is the simplified form of ((a+b)+(a-b))?
A. (2a)
(b) and (-b) cancel each other. The remaining sum is (2a).
The correct answer is A. (2a). (b) and (-b) cancel each other. The remaining sum is (2a).
(b) और (-b) कट जाते हैं। बचा हुआ योग (2a) है।
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What is the common factor of (3x+6)?
C. (3)
Both (3x) and (6) are divisible by (3). So the common factor is (3).
The correct answer is C. (3). Both (3x) and (6) are divisible by (3). So the common factor is (3).
(3x) और (6) दोनों (3) से विभाजित होते हैं। इसलिए सामान्य गुणनखंड (3) है।
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A. \(x^5\)
When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).
The correct answer is A. \(x^5\). When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).
एक ही आधार की घातों को गुणा करते समय घातें जुड़ती हैं। इसलिए \(x^2\cdot x^3=x^5\)।
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What do we get when (12t) is divided by (3)?
D. (4t)
Dividing (12) by (3) gives (4). Hence \(12t\div3=4t\).
The correct answer is D. (4t). Dividing (12) by (3) gives (4). Hence \(12t\div3=4t\).
(12) को (3) से भाग देने पर (4) मिलता है। इसलिए \(12t\div3=4t\)।
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In (x-7=2), what is the value of (x)?
C. (9)
Adding (7) to both sides gives (x=9). Use addition to undo subtraction.
The correct answer is C. (9). Adding (7) to both sides gives (x=9). Use addition to undo subtraction.
दोनों पक्षों में (7) जोड़ने पर (x=9) मिलता है। घटाव हटाने के लिए जोड़ करें।
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What is the coefficient of (a) in (2a+3b)?
B. (2)
In the (a)-term (2a), the coefficient is (2). Always look at the term containing that variable.
The correct answer is B. (2). In the (a)-term (2a), the coefficient is (2). Always look at the term containing that variable.
(a) वाले पद (2a) में गुणांक (2) है। हमेशा उसी चर वाला पद देखें।
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What is the common factor in (4x+4y)?
C. (4)
The factor (4) is common in both terms. So the common factor is (4).
The correct answer is C. (4). The factor (4) is common in both terms. So the common factor is (4).
दोनों पदों में (4) समान रूप से उपस्थित है। इसलिए सामान्य गुणनखंड (4) है।
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If (n=4), what is the value of (3n-2)?
D. (10)
\(3\times4-2=10\). Do multiplication first and then subtraction.
The correct answer is D. (10). \(3\times4-2=10\). Do multiplication first and then subtraction.
\(3\times4-2=10\) होता है। पहले गुणा फिर घटाव करें।
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What is the highest power in \(a^2+2a+1\)?
A. (2)
The greatest exponent in the polynomial is (2). This is its degree.
The correct answer is A. (2). The greatest exponent in the polynomial is (2). This is its degree.
बहुपद में सबसे बड़ी घात (2) है। यही इसकी घात मानी जाती है।
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What do we get by taking the common factor from (8k-8)?
C. (8(k-1))
(8) is common in both terms. So (8k-8=8(k-1)).
The correct answer is C. (8(k-1)). (8) is common in both terms. So (8k-8=8(k-1)).
दोनों पदों में (8) सामान्य है। इसलिए (8k-8=8(k-1))।
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What is the simplified form of (2(x+3)+x)?
A. (3x+6)
First expand (2(x+3)=2x+6). Then (2x+x=3x).
The correct answer is A. (3x+6). First expand (2(x+3)=2x+6). Then (2x+x=3x).
पहले (2(x+3)=2x+6) करें। फिर (2x+x=3x) मिलेगा।
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In (y/4=3), what is the value of (y)?
B. (12)
Multiplying both sides by (4) gives (y=12). Use multiplication to undo division.
The correct answer is B. (12). Multiplying both sides by (4) gives (y=12). Use multiplication to undo division.
दोनों पक्षों को (4) से गुणा करने पर (y=12) मिलता है। भाग हटाने के लिए गुणा करें।
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What is the value of \(p^0\) if \(p\neq0\)?
C. (1)
The zero power of any non-zero number or variable is (1). This is a basic exponent rule.
The correct answer is C. (1). The zero power of any non-zero number or variable is (1). This is a basic exponent rule.
किसी भी अशून्य संख्या या चर की शून्य घात (1) होती है। यह घात नियम का मूल तथ्य है।
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What is the simplified form of (4a+5-2a+1)?
D. (2a+6)
(4a-2a=2a) and (5+1=6). Combine like terms separately.
The correct answer is D. (2a+6). (4a-2a=2a) and (5+1=6). Combine like terms separately.
(4a-2a=2a) और (5+1=6) होता है। समान पदों को अलग अलग जोड़ें।
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Which form is obtained by expanding (6(x+1))?
A. (6x+6)
Multiply (6) by both (x) and (1). The answer is (6x+6).
The correct answer is A. (6x+6). Multiply (6) by both (x) and (1). The answer is (6x+6).
(6) को (x) और (1) दोनों से गुणा करें। उत्तर (6x+6) है।
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What is the coefficient of (c) in (11c)?
C. (11)
(11) is multiplied by (c). Therefore the coefficient is (11).
The correct answer is C. (11). (11) is multiplied by (c). Therefore the coefficient is (11).
(c) के साथ (11) गुणा हो रहा है। इसलिए गुणांक (11) है।
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What is the simplest form of \(a^2-a^2+5\)?
B. (5)
\(a^2-a^2=0\). Therefore only (5) remains.
The correct answer is B. (5). \(a^2-a^2=0\). Therefore only (5) remains.
\(a^2-a^2=0\) होता है। इसलिए केवल (5) बचता है।
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In (2x+3=11), what is the value of (x)?
C. (4)
First subtract (3) from both sides and then divide by (2). This gives (x=4).
The correct answer is C. (4). First subtract (3) from both sides and then divide by (2). This gives (x=4).
पहले दोनों पक्षों से (3) घटाएँ फिर (2) से भाग दें। इससे (x=4) मिलता है।
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How many terms are there in \(x+x^2\)?
D. (2)
(x) and \(x^2\) are two different terms. Different powers make them separate terms.
The correct answer is D. (2). (x) and \(x^2\) are two different terms. Different powers make them separate terms.
(x) और \(x^2\) दो अलग पद हैं। घात अलग होने से वे अलग पद माने जाते हैं।
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If (b=1), what is the value of (7b+8)?
A. (15)
\(7\times1+8=15\). Multiplying by (1) does not change the number.
The correct answer is A. (15). \(7\times1+8=15\). Multiplying by (1) does not change the number.
\(7\times1+8=15\) होता है। (1) से गुणा करने पर संख्या नहीं बदलती।
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What is the simplified form of (9x+3x-2x)?
B. (10x)
The value of the coefficients (9+3-2) is (10). Therefore the answer is (10x).
The correct answer is B. (10x). The value of the coefficients (9+3-2) is (10). Therefore the answer is (10x).
गुणांकों (9+3-2) का मान (10) है। इसलिए उत्तर (10x) है।
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What is the result of \(2m\cdot4m\)?
C. \(8m^2\)
\(2\times4=8\) and \(m\cdot m=m^2\). Therefore the answer is \(8m^2\).
The correct answer is C. \(8m^2\). \(2\times4=8\) and \(m\cdot m=m^2\). Therefore the answer is \(8m^2\).
\(2\times4=8\) और \(m\cdot m=m^2\) होता है। इसलिए उत्तर \(8m^2\) है।
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Which property is shown by (a+2=2+a)?
D. क्रमविनिमेय गुणCommutative property
In addition, changing the order of terms does not change the sum. This is the commutative property.
The correct answer is D. क्रमविनिमेय गुण / Commutative property. In addition, changing the order of terms does not change the sum. This is the commutative property.
जोड़ में पदों का क्रम बदलने से योग नहीं बदलता। यह क्रमविनिमेय गुण है।
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A. (0)
Subtracting a term from itself gives (0). Hence (3q-3q=0).
The correct answer is A. (0). Subtracting a term from itself gives (0). Hence (3q-3q=0).
किसी पद में से वही पद घटाने पर (0) मिलता है। इसलिए (3q-3q=0)।
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What is the value of (5s+2) when (s=2)?
B. (12)
\(5\times2+2=12\). After substitution, calculate in order.
The correct answer is B. (12). \(5\times2+2=12\). After substitution, calculate in order.
\(5\times2+2=12\) होता है। प्रतिस्थापन के बाद क्रम से गणना करें।
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Which identity is related to \(x^2-9\)?
C. \(a^2-b^2\)
\(x^2-9\) can be written as \(x^2-3^2\). This matches the identity \(a^2-b^2\).
The correct answer is C. \(a^2-b^2\). \(x^2-9\) can be written as \(x^2-3^2\). This matches the identity \(a^2-b^2\).
\(x^2-9\) को \(x^2-3^2\) लिखा जा सकता है। यह \(a^2-b^2\) की पहचान है।
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What is the simplest form of \( \frac{10}{25} \)?
B. \( \frac{2}{5} \)
The common factor of (10) and (25) is (5). Dividing both by (5) gives \( \frac{2}{5} \).
The correct answer is B. \( \frac{2}{5} \). The common factor of (10) and (25) is (5). Dividing both by (5) gives \( \frac{2}{5} \).
(10) और (25) का समान गुणनखंड (5) है। दोनों को (5) से भाग देने पर \( \frac{2}{5} \) मिलता है।
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