व्यंजक (7a-4) में स्थिर पद कौन सा है?
In the expression (7a-4), which is the constant term?
#algebra
#constant
#terms
A (7)
B (a)
C (7a)
D (-4)
Explanation opens after your attempt
Step 1
Concept
A constant term has no variable. Here (-4) has no variable.
Step 2
Why this answer is correct
The correct answer is D. (-4). A constant term has no variable. Here (-4) has no variable.
Step 3
Exam Tip
स्थिर पद वह होता है जिसमें कोई चर नहीं होता। यहाँ (-4) चर के बिना है।
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(5m) में (m) का गुणांक क्या है?
What is the coefficient of (m) in (5m)?
#algebra
#coefficient
#terms
A (5)
B (m)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
The number multiplied with the variable is called the coefficient. In (5m), the coefficient of (m) is (5).
Step 2
Why this answer is correct
The correct answer is A. (5). The number multiplied with the variable is called the coefficient. In (5m), the coefficient of (m) is (5).
Step 3
Exam Tip
चर के साथ गुणा होने वाली संख्या गुणांक कहलाती है। (5m) में (m) का गुणांक (5) है।
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(3p+2p) का सरलीकृत रूप क्या है?
What is the simplified form of (3p+2p)?
#algebra
#like terms
#simplification
A \(5p^2\)
B (6p)
C (5p)
D (p)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added. So (3p+2p=5p).
Step 2
Why this answer is correct
The correct answer is C. (5p). Coefficients of like terms are added. So (3p+2p=5p).
Step 3
Exam Tip
समान पदों के गुणांकों को जोड़ा जाता है। इसलिए (3p+2p=5p) होता है।
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निम्न में से कौन सा एकपदी है?
Which of the following is a monomial?
#algebra
#monomial
#polynomial
A (x+2)
B (7y)
C (a-b)
D (p+q+r)
Explanation opens after your attempt
Step 1
Concept
A monomial has only one term. (7y) is a single term.
Step 2
Why this answer is correct
The correct answer is B. (7y). A monomial has only one term. (7y) is a single term.
Step 3
Exam Tip
एकपदी में केवल एक पद होता है। (7y) एक ही पद है।
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(4x+9) में कितने पद हैं?
How many terms are there in (4x+9)?
#algebra
#terms
#binomial
A (2)
B (3)
C (4)
D (1)
Explanation opens after your attempt
Step 1
Concept
Terms are separated by (+) or (-) signs. (4x) and (9) are two terms.
Step 2
Why this answer is correct
The correct answer is A. (2). Terms are separated by (+) or (-) signs. (4x) and (9) are two terms.
Step 3
Exam Tip
पद (+) या (-) चिह्नों से अलग होते हैं। (4x) और (9) दो पद हैं।
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\(x^2+3x+2\) किस प्रकार का बहुपद है?
What type of polynomial is \(x^2+3x+2\)?
#algebra
#trinomial
#polynomial
A एकपदी / Monomial
B द्विपदी / Binomial
C स्थिर / Constant
D त्रिपदी / Trinomial
Explanation opens after your attempt
Correct Answer
D. त्रिपदी / Trinomial
Step 1
Concept
It has three terms \(x^2\), (3x), and (2). A polynomial with three terms is called a trinomial.
Step 2
Why this answer is correct
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.
Step 3
Exam Tip
इसमें तीन पद \(x^2\), (3x) और (2) हैं। तीन पद वाला बहुपद त्रिपदी कहलाता है।
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(6x-2x) का मान क्या है?
What is the value of (6x-2x)?
#algebra
#like terms
#subtraction
A (8x)
B \(4x^2\)
C (4x)
D (3x)
Explanation opens after your attempt
Step 1
Concept
For like terms, subtract the coefficients. (6x-2x=4x).
Step 2
Why this answer is correct
The correct answer is C. (4x). For like terms, subtract the coefficients. (6x-2x=4x).
Step 3
Exam Tip
समान पदों में गुणांकों को घटाया जाता है। (6x-2x=4x) होता है।
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(2a) और (3b) किस प्रकार के पद हैं?
What type of terms are (2a) and (3b)?
#algebra
#unlike terms
#variables
A समान पद / Like terms
B स्थिर पद / Constant terms
C असमान पद / Unlike terms
D शून्य पद / Zero terms
Explanation opens after your attempt
Correct Answer
C. असमान पद / Unlike terms
Step 1
Concept
They have different variables, so they are not like terms. Such terms are called unlike terms.
Step 2
Why this answer is correct
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.
Step 3
Exam Tip
इनमें चर अलग हैं इसलिए ये समान पद नहीं हैं। ऐसे पद असमान पद कहलाते हैं।
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यदि (a=2) हो तो \(a^2+1\) का मान क्या है?
If (a=2), what is the value of \(a^2+1\)?
#algebra
#evaluation
#powers
A (5)
B (4)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
Putting (a=2) gives \(2^2+1=5\). Calculate powers first.
Step 2
Why this answer is correct
The correct answer is A. (5). Putting (a=2) gives \(2^2+1=5\). Calculate powers first.
Step 3
Exam Tip
(a=2) रखने पर \(2^2+1=5\) मिलता है। घात की गणना पहले करें।
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(x+4=9) में (x) का मान क्या है?
In (x+4=9), what is the value of (x)?
#algebra
#linear equation
#solution
A (4)
B (5)
C (9)
D (13)
Explanation opens after your attempt
Step 1
Concept
Subtracting (4) from both sides gives (x=5). Keep the equation balanced.
Step 2
Why this answer is correct
The correct answer is B. (5). Subtracting (4) from both sides gives (x=5). Keep the equation balanced.
Step 3
Exam Tip
दोनों पक्षों से (4) घटाने पर (x=5) मिलता है। समीकरण में संतुलन बनाए रखें।
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(3(x+2)) को खोलने पर क्या मिलेगा?
What do we get by expanding (3(x+2))?
#algebra
#distributive law
#expansion
A (3x+2)
B (x+6)
C (3x+5)
D (3x+6)
Explanation opens after your attempt
Step 1
Concept
Multiply (3) by both terms. So (3(x+2)=3x+6).
Step 2
Why this answer is correct
The correct answer is D. (3x+6). Multiply (3) by both terms. So (3(x+2)=3x+6).
Step 3
Exam Tip
(3) को दोनों पदों से गुणा करते हैं। इसलिए (3(x+2)=3x+6) होता है।
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(a+a+a) को संक्षिप्त रूप में कैसे लिखेंगे?
How can (a+a+a) be written in short form?
#algebra
#repeated addition
#terms
A (3a)
B \(a^3\)
C (3+a)
D (a+3)
Explanation opens after your attempt
Step 1
Concept
The sum of three (a) terms is (3a). Do not confuse addition with powers.
Step 2
Why this answer is correct
The correct answer is A. (3a). The sum of three (a) terms is (3a). Do not confuse addition with powers.
Step 3
Exam Tip
तीन समान (a) पदों का योग (3a) होता है। योग और घात में अंतर रखें।
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(9q) में चर कौन सा है?
Which is the variable in (9q)?
#algebra
#variable
#coefficient
A (9)
B (9q)
C (q)
D (0)
Explanation opens after your attempt
Step 1
Concept
A variable is a symbol whose value can change. In (9q), (q) is the variable.
Step 2
Why this answer is correct
The correct answer is C. (q). A variable is a symbol whose value can change. In (9q), (q) is the variable.
Step 3
Exam Tip
चर वह प्रतीक है जिसका मान बदल सकता है। (9q) में (q) चर है।
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\(x^3\) की घात कितनी है?
What is the exponent in \(x^3\)?
#algebra
#exponents
#powers
A (x)
B (1)
C (0)
D (3)
Explanation opens after your attempt
Step 1
Concept
In \(x^3\), the number (3) written above (x) is the exponent. The exponent tells the power of the variable.
Step 2
Why this answer is correct
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.
Step 3
Exam Tip
\(x^3\) में (x) के ऊपर लिखी संख्या (3) घात है। घात चर की शक्ति बताती है।
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(2x+3x+4) का सरलीकृत रूप क्या है?
What is the simplified form of (2x+3x+4)?
#algebra
#simplification
#like terms
A (9x)
B (5x+4)
C \(5x^2+4\)
D (2x+7)
Explanation opens after your attempt
Step 1
Concept
(2x) and (3x) are like terms. Adding them gives (5x+4).
Step 2
Why this answer is correct
The correct answer is B. (5x+4). (2x) and (3x) are like terms. Adding them gives (5x+4).
Step 3
Exam Tip
(2x) और (3x) समान पद हैं। इन्हें जोड़ने पर (5x+4) मिलता है।
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(4y+1) में (y=5) रखने पर मान क्या होगा?
What is the value of (4y+1) when (y=5)?
#algebra
#evaluation
#substitution
A (21)
B (20)
C (9)
D (25)
Explanation opens after your attempt
Step 1
Concept
\(4\times5+1=21\). Substitute the value of the variable carefully.
Step 2
Why this answer is correct
The correct answer is A. (21). \(4\times5+1=21\). Substitute the value of the variable carefully.
Step 3
Exam Tip
\(4\times5+1=21\) होता है। चर का मान ध्यान से रखें।
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(10r-3r) का सरलीकृत रूप क्या है?
What is the simplified form of (10r-3r)?
#algebra
#like terms
#simplification
A (13r)
B (30r)
C \(7r^2\)
D (7r)
Explanation opens after your attempt
Step 1
Concept
Subtract the coefficients (10) and (3) of like terms. The answer is (7r).
Step 2
Why this answer is correct
The correct answer is D. (7r). Subtract the coefficients (10) and (3) of like terms. The answer is (7r).
Step 3
Exam Tip
समान पदों के गुणांक (10) और (3) घटाए जाते हैं। उत्तर (7r) है।
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निम्न में से कौन सा द्विपदी है?
Which of the following is a binomial?
#algebra
#binomial
#polynomial
A (5z)
B \(x^2+x+1\)
C (p-6)
D (8)
Explanation opens after your attempt
Step 1
Concept
A binomial has two terms. (p-6) has two terms (p) and (-6).
Step 2
Why this answer is correct
The correct answer is C. (p-6). A binomial has two terms. (p-6) has two terms (p) and (-6).
Step 3
Exam Tip
द्विपदी में दो पद होते हैं। (p-6) में (p) और (-6) दो पद हैं।
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(5(x-1)) का विस्तारित रूप क्या है?
What is the expanded form of (5(x-1))?
#algebra
#expansion
#distributive law
A (5x-1)
B (5x-5)
C (x-5)
D (5x+5)
Explanation opens after your attempt
Step 1
Concept
Multiply (5) by both (x) and (-1). So (5(x-1)=5x-5).
Step 2
Why this answer is correct
The correct answer is B. (5x-5). Multiply (5) by both (x) and (-1). So (5(x-1)=5x-5).
Step 3
Exam Tip
(5) को (x) और (-1) दोनों से गुणा करें। इसलिए (5(x-1)=5x-5)।
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\(m^2\) और (m) किस प्रकार के पद हैं?
What type of terms are \(m^2\) and (m)?
#algebra
#like terms
#powers
A समान पद / Like terms
B स्थिर पद / Constant terms
C असमान पद / Unlike terms
D पूर्णांक पद / Integer terms
Explanation opens after your attempt
Correct Answer
C. असमान पद / Unlike terms
Step 1
Concept
Like terms have the same variable with the same power. \(m^2\) and (m) have different powers.
Step 2
Why this answer is correct
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.
Step 3
Exam Tip
समान पदों में चर और उनकी घात समान होती है। \(m^2\) और (m) में घात अलग है।
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(2p=12) में (p) का मान क्या है?
In (2p=12), what is the value of (p)?
#algebra
#linear equation
#solution
A (6)
B (10)
C (14)
D (24)
Explanation opens after your attempt
Step 1
Concept
Dividing both sides by (2) gives (p=6). Use division to undo multiplication.
Step 2
Why this answer is correct
The correct answer is A. (6). Dividing both sides by (2) gives (p=6). Use division to undo multiplication.
Step 3
Exam Tip
दोनों पक्षों को (2) से भाग देने पर (p=6) मिलता है। गुणा को हटाने के लिए भाग करें।
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\(x^2+5x\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^2+5x\)?
#algebra
#coefficient
#polynomial
A (1)
B (2)
C (x)
D (5)
Explanation opens after your attempt
Step 1
Concept
In the (x)-term (5x), the coefficient is (5). The term \(x^2\) is considered separately.
Step 2
Why this answer is correct
The correct answer is D. (5). In the (x)-term (5x), the coefficient is (5). The term \(x^2\) is considered separately.
Step 3
Exam Tip
(x) वाले पद (5x) में गुणांक (5) है। \(x^2\) का पद अलग माना जाता है।
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(7b+0) का सरल रूप क्या है?
What is the simplest form of (7b+0)?
#algebra
#zero property
#simplification
A (0)
B (7b)
C (7)
D (b)
Explanation opens after your attempt
Step 1
Concept
Adding (0) to any term does not change its value. So (7b+0=7b).
Step 2
Why this answer is correct
The correct answer is B. (7b). Adding (0) to any term does not change its value. So (7b+0=7b).
Step 3
Exam Tip
किसी पद में (0) जोड़ने से उसका मान नहीं बदलता। इसलिए (7b+0=7b)।
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((a+b)+(a-b)) का सरलीकृत रूप क्या है?
What is the simplified form of ((a+b)+(a-b))?
#algebra
#simplification
#brackets
A (2a)
B (2b)
C (a+b)
D (a-b)
Explanation opens after your attempt
Step 1
Concept
(b) and (-b) cancel each other. The remaining sum is (2a).
Step 2
Why this answer is correct
The correct answer is A. (2a). (b) and (-b) cancel each other. The remaining sum is (2a).
Step 3
Exam Tip
(b) और (-b) कट जाते हैं। बचा हुआ योग (2a) है।
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(3x+6) का सामान्य गुणनखंड कौन सा है?
What is the common factor of (3x+6)?
#algebra
#factorisation
#common factor
A (x)
B (6)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
Both (3x) and (6) are divisible by (3). So the common factor is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). Both (3x) and (6) are divisible by (3). So the common factor is (3).
Step 3
Exam Tip
(3x) और (6) दोनों (3) से विभाजित होते हैं। इसलिए सामान्य गुणनखंड (3) है।
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\(x^2\cdot x^3\) का मान क्या है?
What is \(x^2\cdot x^3\)?
#algebra
#exponents
#laws
A \(x^5\)
B \(x^6\)
C (x)
D \(x^1\)
Explanation opens after your attempt
Correct Answer
A. \(x^5\)
Step 1
Concept
When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).
Step 2
Why this answer is correct
The correct answer is A. \(x^5\). When powers with the same base are multiplied, exponents are added. So \(x^2\cdot x^3=x^5\).
Step 3
Exam Tip
एक ही आधार की घातों को गुणा करते समय घातें जुड़ती हैं। इसलिए \(x^2\cdot x^3=x^5\)।
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(12t) को (3) से भाग देने पर क्या मिलेगा?
What do we get when (12t) is divided by (3)?
#algebra
#division
#monomial
A (36t)
B (15t)
C (9t)
D (4t)
Explanation opens after your attempt
Step 1
Concept
Dividing (12) by (3) gives (4). Hence \(12t\div3=4t\).
Step 2
Why this answer is correct
The correct answer is D. (4t). Dividing (12) by (3) gives (4). Hence \(12t\div3=4t\).
Step 3
Exam Tip
(12) को (3) से भाग देने पर (4) मिलता है। इसलिए \(12t\div3=4t\)।
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(x-7=2) में (x) का मान क्या है?
In (x-7=2), what is the value of (x)?
#algebra
#linear equation
#solution
A (5)
B (7)
C (9)
D (-5)
Explanation opens after your attempt
Step 1
Concept
Adding (7) to both sides gives (x=9). Use addition to undo subtraction.
Step 2
Why this answer is correct
The correct answer is C. (9). Adding (7) to both sides gives (x=9). Use addition to undo subtraction.
Step 3
Exam Tip
दोनों पक्षों में (7) जोड़ने पर (x=9) मिलता है। घटाव हटाने के लिए जोड़ करें।
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(2a+3b) में (a) का गुणांक क्या है?
What is the coefficient of (a) in (2a+3b)?
#algebra
#coefficient
#terms
A (3)
B (2)
C (5)
D (a)
Explanation opens after your attempt
Step 1
Concept
In the (a)-term (2a), the coefficient is (2). Always look at the term containing that variable.
Step 2
Why this answer is correct
The correct answer is B. (2). In the (a)-term (2a), the coefficient is (2). Always look at the term containing that variable.
Step 3
Exam Tip
(a) वाले पद (2a) में गुणांक (2) है। हमेशा उसी चर वाला पद देखें।
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(4x+4y) में सामान्य गुणनखंड क्या है?
What is the common factor in (4x+4y)?
#algebra
#common factor
#factorisation
A (x)
B (y)
C (4)
D (xy)
Explanation opens after your attempt
Step 1
Concept
The factor (4) is common in both terms. So the common factor is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). The factor (4) is common in both terms. So the common factor is (4).
Step 3
Exam Tip
दोनों पदों में (4) समान रूप से उपस्थित है। इसलिए सामान्य गुणनखंड (4) है।
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यदि (n=4) हो तो (3n-2) का मान क्या होगा?
If (n=4), what is the value of (3n-2)?
#algebra
#evaluation
#order of operations
A (8)
B (12)
C (14)
D (10)
Explanation opens after your attempt
Step 1
Concept
\(3\times4-2=10\). Do multiplication first and then subtraction.
Step 2
Why this answer is correct
The correct answer is D. (10). \(3\times4-2=10\). Do multiplication first and then subtraction.
Step 3
Exam Tip
\(3\times4-2=10\) होता है। पहले गुणा फिर घटाव करें।
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\(a^2+2a+1\) में उच्चतम घात क्या है?
What is the highest power in \(a^2+2a+1\)?
#algebra
#degree
#polynomial
A (2)
B (1)
C (0)
D (3)
Explanation opens after your attempt
Step 1
Concept
The greatest exponent in the polynomial is (2). This is its degree.
Step 2
Why this answer is correct
The correct answer is A. (2). The greatest exponent in the polynomial is (2). This is its degree.
Step 3
Exam Tip
बहुपद में सबसे बड़ी घात (2) है। यही इसकी घात मानी जाती है।
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(8k-8) में सामान्य गुणनखंड निकालने पर क्या मिलेगा?
What do we get by taking the common factor from (8k-8)?
#algebra
#factorisation
#common factor
A (8(k+1))
B (k(8-8))
C (8(k-1))
D (8k(1-8))
Explanation opens after your attempt
Correct Answer
C. (8(k-1))
Step 1
Concept
(8) is common in both terms. So (8k-8=8(k-1)).
Step 2
Why this answer is correct
The correct answer is C. (8(k-1)). (8) is common in both terms. So (8k-8=8(k-1)).
Step 3
Exam Tip
दोनों पदों में (8) सामान्य है। इसलिए (8k-8=8(k-1))।
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(2(x+3)+x) का सरल रूप क्या है?
What is the simplified form of (2(x+3)+x)?
#algebra
#expansion
#simplification
A (3x+6)
B (2x+6)
C (3x+3)
D (x+6)
Explanation opens after your attempt
Step 1
Concept
First expand (2(x+3)=2x+6). Then (2x+x=3x).
Step 2
Why this answer is correct
The correct answer is A. (3x+6). First expand (2(x+3)=2x+6). Then (2x+x=3x).
Step 3
Exam Tip
पहले (2(x+3)=2x+6) करें। फिर (2x+x=3x) मिलेगा।
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(y/4=3) में (y) का मान क्या है?
In (y/4=3), what is the value of (y)?
#algebra
#linear equation
#solution
A (7)
B (12)
C (1)
D (4)
Explanation opens after your attempt
Step 1
Concept
Multiplying both sides by (4) gives (y=12). Use multiplication to undo division.
Step 2
Why this answer is correct
The correct answer is B. (12). Multiplying both sides by (4) gives (y=12). Use multiplication to undo division.
Step 3
Exam Tip
दोनों पक्षों को (4) से गुणा करने पर (y=12) मिलता है। भाग हटाने के लिए गुणा करें।
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\(p^0\) का मान क्या है यदि \(p\neq0\)?
What is the value of \(p^0\) if \(p\neq0\)?
#algebra
#exponents
#zero power
A (p)
B (0)
C (1)
D \(p^2\)
Explanation opens after your attempt
Step 1
Concept
The zero power of any non-zero number or variable is (1). This is a basic exponent rule.
Step 2
Why this answer is correct
The correct answer is C. (1). The zero power of any non-zero number or variable is (1). This is a basic exponent rule.
Step 3
Exam Tip
किसी भी अशून्य संख्या या चर की शून्य घात (1) होती है। यह घात नियम का मूल तथ्य है।
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(4a+5-2a+1) का सरलीकृत रूप क्या है?
What is the simplified form of (4a+5-2a+1)?
#algebra
#simplification
#like terms
A (6a+6)
B (2a+4)
C (4a+6)
D (2a+6)
Explanation opens after your attempt
Step 1
Concept
(4a-2a=2a) and (5+1=6). Combine like terms separately.
Step 2
Why this answer is correct
The correct answer is D. (2a+6). (4a-2a=2a) and (5+1=6). Combine like terms separately.
Step 3
Exam Tip
(4a-2a=2a) और (5+1=6) होता है। समान पदों को अलग अलग जोड़ें।
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(6(x+1)) को फैलाने पर कौन सा रूप मिलेगा?
Which form is obtained by expanding (6(x+1))?
#algebra
#expansion
#distributive law
A (6x+6)
B (6x+1)
C (x+6)
D (7x)
Explanation opens after your attempt
Step 1
Concept
Multiply (6) by both (x) and (1). The answer is (6x+6).
Step 2
Why this answer is correct
The correct answer is A. (6x+6). Multiply (6) by both (x) and (1). The answer is (6x+6).
Step 3
Exam Tip
(6) को (x) और (1) दोनों से गुणा करें। उत्तर (6x+6) है।
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(11c) में (c) का गुणांक क्या है?
What is the coefficient of (c) in (11c)?
#algebra
#coefficient
#monomial
A (c)
B (1)
C (11)
D (0)
Explanation opens after your attempt
Step 1
Concept
(11) is multiplied by (c). Therefore the coefficient is (11).
Step 2
Why this answer is correct
The correct answer is C. (11). (11) is multiplied by (c). Therefore the coefficient is (11).
Step 3
Exam Tip
(c) के साथ (11) गुणा हो रहा है। इसलिए गुणांक (11) है।
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\(a^2-a^2+5\) का सरल रूप क्या है?
What is the simplest form of \(a^2-a^2+5\)?
#algebra
#simplification
#cancellation
A \(2a^2+5\)
B (5)
C \(a^2+5\)
D (0)
Explanation opens after your attempt
Step 1
Concept
\(a^2-a^2=0\). Therefore only (5) remains.
Step 2
Why this answer is correct
The correct answer is B. (5). \(a^2-a^2=0\). Therefore only (5) remains.
Step 3
Exam Tip
\(a^2-a^2=0\) होता है। इसलिए केवल (5) बचता है।
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(2x+3=11) में (x) का मान क्या है?
In (2x+3=11), what is the value of (x)?
#algebra
#linear equation
#solution
A (3)
B (5)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
First subtract (3) from both sides and then divide by (2). This gives (x=4).
Step 2
Why this answer is correct
The correct answer is C. (4). First subtract (3) from both sides and then divide by (2). This gives (x=4).
Step 3
Exam Tip
पहले दोनों पक्षों से (3) घटाएँ फिर (2) से भाग दें। इससे (x=4) मिलता है।
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\(x+x^2\) में कितने पद हैं?
How many terms are there in \(x+x^2\)?
#algebra
#terms
#powers
A (1)
B (3)
C (4)
D (2)
Explanation opens after your attempt
Step 1
Concept
(x) and \(x^2\) are two different terms. Different powers make them separate terms.
Step 2
Why this answer is correct
The correct answer is D. (2). (x) and \(x^2\) are two different terms. Different powers make them separate terms.
Step 3
Exam Tip
(x) और \(x^2\) दो अलग पद हैं। घात अलग होने से वे अलग पद माने जाते हैं।
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यदि (b=1) हो तो (7b+8) का मान क्या होगा?
If (b=1), what is the value of (7b+8)?
#algebra
#evaluation
#substitution
A (15)
B (8)
C (7)
D (16)
Explanation opens after your attempt
Step 1
Concept
\(7\times1+8=15\). Multiplying by (1) does not change the number.
Step 2
Why this answer is correct
The correct answer is A. (15). \(7\times1+8=15\). Multiplying by (1) does not change the number.
Step 3
Exam Tip
\(7\times1+8=15\) होता है। (1) से गुणा करने पर संख्या नहीं बदलती।
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(9x+3x-2x) का सरल रूप क्या है?
What is the simplified form of (9x+3x-2x)?
#algebra
#like terms
#simplification
A (14x)
B (10x)
C (9x)
D (12x)
Explanation opens after your attempt
Step 1
Concept
The value of the coefficients (9+3-2) is (10). Therefore the answer is (10x).
Step 2
Why this answer is correct
The correct answer is B. (10x). The value of the coefficients (9+3-2) is (10). Therefore the answer is (10x).
Step 3
Exam Tip
गुणांकों (9+3-2) का मान (10) है। इसलिए उत्तर (10x) है।
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\(2m\cdot4m\) का परिणाम क्या है?
What is the result of \(2m\cdot4m\)?
#algebra
#multiplication
#monomials
A (6m)
B (8m)
C \(8m^2\)
D \(6m^2\)
Explanation opens after your attempt
Correct Answer
C. \(8m^2\)
Step 1
Concept
\(2\times4=8\) and \(m\cdot m=m^2\). Therefore the answer is \(8m^2\).
Step 2
Why this answer is correct
The correct answer is C. \(8m^2\). \(2\times4=8\) and \(m\cdot m=m^2\). Therefore the answer is \(8m^2\).
Step 3
Exam Tip
\(2\times4=8\) और \(m\cdot m=m^2\) होता है। इसलिए उत्तर \(8m^2\) है।
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(a+2=2+a) कौन सा गुण दर्शाता है?
Which property is shown by (a+2=2+a)?
#algebra
#properties
#commutative
A साहचर्य गुण / Associative property
B वितरण गुण / Distributive property
C पहचान गुण / Identity property
D क्रमविनिमेय गुण / Commutative property
Explanation opens after your attempt
Correct Answer
D. क्रमविनिमेय गुण / Commutative property
Step 1
Concept
In addition, changing the order of terms does not change the sum. This is the commutative property.
Step 2
Why this answer is correct
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.
Step 3
Exam Tip
जोड़ में पदों का क्रम बदलने से योग नहीं बदलता। यह क्रमविनिमेय गुण है।
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(3q-3q) का मान क्या है?
What is the value of (3q-3q)?
#algebra
#subtraction
#zero
A (0)
B (6q)
C (q)
D (3q)
Explanation opens after your attempt
Step 1
Concept
Subtracting a term from itself gives (0). Hence (3q-3q=0).
Step 2
Why this answer is correct
The correct answer is A. (0). Subtracting a term from itself gives (0). Hence (3q-3q=0).
Step 3
Exam Tip
किसी पद में से वही पद घटाने पर (0) मिलता है। इसलिए (3q-3q=0)।
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(5s+2) में (s=2) रखने पर मान क्या होगा?
What is the value of (5s+2) when (s=2)?
#algebra
#evaluation
#substitution
A (7)
B (12)
C (10)
D (14)
Explanation opens after your attempt
Step 1
Concept
\(5\times2+2=12\). After substitution, calculate in order.
Step 2
Why this answer is correct
The correct answer is B. (12). \(5\times2+2=12\). After substitution, calculate in order.
Step 3
Exam Tip
\(5\times2+2=12\) होता है। प्रतिस्थापन के बाद क्रम से गणना करें।
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\(x^2-9\) किस पहचान से संबंधित है?
Which identity is related to \(x^2-9\)?
#algebra
#identity
#difference of squares
A \(a^2+b^2\)
B (a+b)
C \(a^2-b^2\)
D (2ab)
Explanation opens after your attempt
Correct Answer
C. \(a^2-b^2\)
Step 1
Concept
\(x^2-9\) can be written as \(x^2-3^2\). This matches the identity \(a^2-b^2\).
Step 2
Why this answer is correct
The correct answer is C. \(a^2-b^2\). \(x^2-9\) can be written as \(x^2-3^2\). This matches the identity \(a^2-b^2\).
Step 3
Exam Tip
\(x^2-9\) को \(x^2-3^2\) लिखा जा सकता है। यह \(a^2-b^2\) की पहचान है।
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(3x+5) में चर कौन-सा है?
Which is the variable in (3x+5)?
#algebra
#variable
#basic
A (3)
B (x)
C (5)
D (3x)
Explanation opens after your attempt
Step 1
Concept
A variable is a quantity whose value can change. In exams identify the letter part first.
Step 2
Why this answer is correct
The correct answer is B. (x). A variable is a quantity whose value can change. In exams identify the letter part first.
Step 3
Exam Tip
चर वह राशि है जिसका मान बदल सकता है। परीक्षा में अक्षर वाले भाग को पहले पहचानें।
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