व्यंजक \(4x^2-7x+9\) में रैखिक पद कौन-सा है?
Which is the linear term in the expression \(4x^2-7x+9\)?
#algebraic-expressions
#linear-term
#polynomials
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A \(4x^2\)
B (-7x)
C (9)
D \(4x^2+9\)
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Explanation
Simple Explanation
रैखिक पद में चर की घात एक होती है। चिन्ह सहित (-7x) सही पद है। / A linear term has the variable with power one. The correct term with its sign is (-7x).
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\(3a^2b\) और \(5ab^2\) के बारे में सही कथन कौन-सा है?
Which statement is correct about \(3a^2b\) and \(5ab^2\)?
#algebraic-expressions
#like-unlike-terms
#powers
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A दोनों समान पद हैं / Both are like terms
B दोनों स्थिर पद हैं / Both are constant terms
C दोनों असमान पद हैं / Both are unlike terms
D दोनों का गुणांक समान है / Both have the same coefficient
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Correct Answer
C. दोनों असमान पद हैं / Both are unlike terms
Explanation
Simple Explanation
चर समान दिखते हैं पर उनकी घातें अलग हैं। समान पदों में चर और घात दोनों समान होने चाहिए। / The variables look similar but their powers are different. Like terms must have the same variables with the same powers.
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(6p-4q+2p+9q) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (6p-4q+2p+9q)?
#algebraic-expressions
#simplification
#like-terms
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A (8p+5q)
B (8p-13q)
C (4p+5q)
D (8pq+5)
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Correct Answer
A. (8p+5q)
Explanation
Simple Explanation
समान पदों को जोड़ें तो (6p+2p=8p) और (-4q+9q=5q)। पहले समान चर वाले पदों को समूहित करें। / Combining like terms gives (6p+2p=8p) and (-4q+9q=5q). Group terms with the same variable first.
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यदि (x=-2) हो तो \(x^2+3x+1\) का मान क्या होगा?
If (x=-2), what is the value of \(x^2+3x+1\)?
#algebraic-expressions
#substitution
#negative-value
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A (11)
B (3)
C (1)
D (-1)
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Explanation
Simple Explanation
मान रखने पर ((-2)2 +3(-2)+1=4-6+1=-1)। ऋणात्मक संख्या का वर्ग करते समय कोष्ठक लगाएँ। / Substitution gives ((-2)2 +3(-2)+1=4-6+1=-1). Use brackets when squaring a negative number.
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व्यंजक (7mn-3m+5) में कितने पद हैं?
How many terms are there in (7mn-3m+5)?
#algebraic-expressions
#terms
#counting
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A (2)
B (3)
C (4)
D (5)
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Explanation
Simple Explanation
इसमें (7mn), (-3m) और (5) तीन पद हैं। घटाव वाले पद को चिन्ह सहित गिनें। / It has three terms: (7mn), (-3m), and (5). Count the term after a minus sign with its sign.
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(2(x-5)+3x) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (2(x-5)+3x)?
#algebraic-expressions
#expansion
#simplification
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A (2x-10)
B (5x+10)
C (5x-10)
D (x-10)
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Correct Answer
C. (5x-10)
Explanation
Simple Explanation
पहले (2(x-5)=2x-10) करें फिर (3x) जोड़ें। इससे (5x-10) मिलता है। / First expand (2(x-5)=2x-10), then add (3x). This gives (5x-10).
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कौन-सा व्यंजक \(4x^2-3x+6\) में (x) के गुणांक को सही बताता है?
Which option correctly gives the coefficient of (x) in \(4x^2-3x+6\)?
#algebraic-expressions
#coefficient
#linear-term
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A (4)
B (-3)
C (6)
D (3)
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Explanation
Simple Explanation
(x) वाला पद (-3x) है। इसलिए (x) का गुणांक (-3) है। / The term containing (x) is (-3x). So the coefficient of (x) is (-3).
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यदि (a=2) और (b=-1), तो (3a-2b) का मान क्या होगा?
If (a=2) and (b=-1), what is the value of (3a-2b)?
#algebraic-expressions
#substitution
#two-variables
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A (4)
B (6)
C (8)
D (-8)
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Explanation
Simple Explanation
(3a-2b=3(2)-2(-1)=6+2=8)। ऋणात्मक मान घटाने पर जोड़ बन सकता है। / (3a-2b=3(2)-2(-1)=6+2=8). Subtracting a negative value can become addition.
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\(5u^2+2u-8\) में स्थिर पद कौन-सा है?
Which is the constant term in \(5u^2+2u-8\)?
#algebraic-expressions
#constant-term
#sign
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A \(5u^2\)
B (2u)
C (-8)
D (8u)
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Explanation
Simple Explanation
स्थिर पद में कोई चर नहीं होता और उसे चिन्ह सहित लिया जाता है। यहाँ स्थिर पद (-8) है। / A constant term has no variable and is taken with its sign. Here the constant term is (-8).
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कौन-सा व्यंजक (m) और (n) के योग के (3) गुने को दर्शाता है?
Which expression represents three times the sum of (m) and (n)?
#algebraic-expressions
#word-to-expression
#brackets
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A (3m+n)
B (m+3n)
C (3(m+n))
D (mn+3)
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Correct Answer
C. (3(m+n))
Explanation
Simple Explanation
योग पहले लेना है और फिर उसे (3) से गुणा करना है। इसलिए कोष्ठक वाला रूप (3(m+n)) सही है। / The sum must be taken first and then multiplied by (3). So the bracketed form (3(m+n)) is correct.
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\(9x^2y\) में संख्यात्मक गुणांक क्या है?
What is the numerical coefficient in \(9x^2y\)?
#algebraic-expressions
#numerical-coefficient
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A \(x^2y\)
B (9)
C (2)
D (9x)
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Explanation
Simple Explanation
संख्यात्मक गुणांक वह संख्या है जो चर भाग से गुणा होती है। \(9x^2y\) में यह संख्या (9) है। / The numerical coefficient is the number multiplying the variable part. In \(9x^2y\), this number is (9).
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\(4r^2-6r^2+5r\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(4r^2-6r^2+5r\)?
#algebraic-expressions
#combine-like-terms
#squares
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A \(10r^2+5r\)
B \(-2r^2+5r\)
C (3r)
D \(-2r^2-5r\)
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Correct Answer
B. \(-2r^2+5r\)
Explanation
Simple Explanation
\(4r^2\) और \(-6r^2\) समान पद हैं और उनका योग \(-2r^2\) है। (5r) अलग पद रहता है। / \(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.
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कौन-सा जोड़ा समान पदों का है?
Which pair consists of like terms?
#algebraic-expressions
#like-terms
#variables
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A (7ab) और (-2ab) / (7ab) and (-2ab)
B (7a) और (7b) / (7a) and (7b)
C \(a^2b\) और \(ab^2\) / \(a^2b\) and \(ab^2\)
D (3xy) और (3xz) / (3xy) and (3xz)
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Correct Answer
A. (7ab) और (-2ab) / (7ab) and (-2ab)
Explanation
Simple Explanation
(7ab) और (-2ab) में चर भाग (ab) समान है। गुणांक अलग हो सकते हैं। / (7ab) and (-2ab) have the same variable part (ab). Coefficients may be different.
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यदि (t=3), तो \(2t^2-t\) का मान क्या होगा?
If (t=3), what is the value of \(2t^2-t\)?
#algebraic-expressions
#value
#order-of-operations
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A (9)
B (12)
C (15)
D (18)
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Explanation
Simple Explanation
(2t-2 -t=2\(3^2\)-3=18-3=15)। पहले घात फिर गुणा और फिर घटाव करें। / (2t-2 -t=2\(3^2\)-3=18-3=15). Do powers first, then multiplication, then subtraction.
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(5(x+2)-2(x-1)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (5(x+2)-2(x-1))?
#algebraic-expressions
#brackets
#simplification
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A (3x+12)
B (7x+8)
C (3x+8)
D (7x+12)
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Correct Answer
A. (3x+12)
Explanation
Simple Explanation
खोलने पर (5x+10-2x+2) मिलता है। समान पद मिलाकर (3x+12) बनेगा। / Expanding gives (5x+10-2x+2). Combining like terms gives (3x+12).
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व्यंजक \(2x^3-5x+1\) में सबसे बड़ी घात क्या है?
What is the highest power in the expression \(2x^3-5x+1\)?
#algebraic-expressions
#highest-power
#degree-intro
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A (1)
B (2)
C (3)
D (5)
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Explanation
Simple Explanation
सबसे बड़ी घात \(x^3\) में (3) है। उच्चतम घात पहचानना बहुपद की समझ में मदद करता है। / The highest power is (3) in \(x^3\). Identifying the highest power helps in understanding polynomials.
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कौन-सा व्यंजक (2y) से (5) अधिक को दर्शाता है?
Which expression represents (5) more than (2y)?
#algebraic-expressions
#word-to-expression
#addition
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A (2y-5)
B (5-2y)
C (10y)
D (2y+5)
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Explanation
Simple Explanation
(5) अधिक का अर्थ दिए गए व्यंजक में (5) जोड़ना है। इसलिए (2y+5) सही है। / (5) more means adding (5) to the given expression. So (2y+5) is correct.
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यदि (p=-3), तो \(p^2+2p\) का मान क्या होगा?
If (p=-3), what is the value of \(p^2+2p\)?
#algebraic-expressions
#substitution
#negative-number
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A (3)
B (-3)
C (15)
D (6)
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Explanation
Simple Explanation
((-3)2 +2(-3)=9-6=3)। ऋणात्मक संख्या का वर्ग धनात्मक होता है। / ((-3)2 +2(-3)=9-6=3). The square of a negative number is positive.
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\(8a^2b-3a^2b+4ab\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(8a^2b-3a^2b+4ab\)?
#algebraic-expressions
#like-terms
#multiple-variables
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A \(5a^2b+4ab\)
B (5ab+4ab)
C \(9a^2b\)
D \(11a^2b+4ab\)
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Correct Answer
A. \(5a^2b+4ab\)
Explanation
Simple Explanation
\(8a^2b\) और \(-3a^2b\) समान पद हैं। (4ab) की घातें अलग हैं इसलिए वह अलग रहेगा। / \(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.
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कौन-सा व्यंजक (x) के वर्ग और (x) के तीन गुने के अंतर को दर्शाता है?
Which expression represents the difference between the square of (x) and three times (x)?
#algebraic-expressions
#word-to-expression
#difference
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A \(3x-x^2\)
B \(x^2-3x\)
C \(x^2+3x\)
D \(3x^2-x\)
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Correct Answer
B. \(x^2-3x\)
Explanation
Simple Explanation
(x) का वर्ग \(x^2\) है और (x) का तीन गुना (3x) है। अंतर के लिए \(x^2-3x\) लिखेंगे। / The square of (x) is \(x^2\) and three times (x) is (3x). The difference is written as \(x^2-3x\).
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\(12x^2y\) में चर भाग कौन-सा है?
What is the variable part in \(12x^2y\)?
#algebraic-expressions
#variable-part
#coefficient
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A (12)
B \(x^2y\)
C (12x)
D (y)
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Correct Answer
B. \(x^2y\)
Explanation
Simple Explanation
संख्या (12) गुणांक है और \(x^2y\) चर भाग है। पद को संख्या और चर भाग में बाँटकर देखें। / The number (12) is the coefficient and \(x^2y\) is the variable part. Split the term into number and variable parts.
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(4m-(2m-7)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4m-(2m-7))?
#algebraic-expressions
#brackets
#minus-sign
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A (2m-7)
B (6m-7)
C (2m+7)
D (6m+7)
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Explanation
Simple Explanation
घटाव का चिन्ह कोष्ठक के अंदर के दोनों पदों के चिन्ह बदलता है। इसलिए (4m-2m+7=2m+7)। / The minus sign before the bracket changes the signs of both terms inside. Thus (4m-2m+7=2m+7).
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\(x+x^2+2x\) को समान पद मिलाकर कैसे लिखेंगे?
How will \(x+x^2+2x\) be written after combining like terms?
#algebraic-expressions
#combine-like-terms
#powers
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A \(x^2+3x\)
B \(3x^2\)
C (4x)
D \(x^3+2x\)
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Correct Answer
A. \(x^2+3x\)
Explanation
Simple Explanation
(x) और (2x) समान पद हैं और उनका योग (3x) है। \(x^2\) अलग पद रहेगा। / (x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.
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किस व्यंजक में \(x^2\) का गुणांक (-4) है?
In which expression is the coefficient of \(x^2\) equal to (-4)?
#algebraic-expressions
#coefficient
#negative
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A \(4x^2-1\)
B \(x^2-4\)
C \(4-x^2\)
D \(-4x^2+7\)
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Correct Answer
D. \(-4x^2+7\)
Explanation
Simple Explanation
\(-4x^2+7\) में \(x^2\) के साथ (-4) गुणा हो रहा है। गुणांक चिन्ह सहित लिया जाता है। / In \(-4x^2+7\), \(x^2\) is multiplied by (-4). A coefficient is taken with its sign.
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यदि (x=2) और (y=3), तो (xy+x) का मान क्या होगा?
If (x=2) and (y=3), what is the value of (xy+x)?
#algebraic-expressions
#substitution
#product
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A (8)
B (6)
C (5)
D (11)
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Explanation
Simple Explanation
\(xy+x=2\cdot3+2=8\)। पहले गुणा करें और फिर जोड़ें। / \(xy+x=2\cdot3+2=8\). Multiply first and then add.
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कौन-सा व्यंजक (2a-3b+5a-b) के बराबर है?
Which expression is equal to (2a-3b+5a-b)?
#algebraic-expressions
#equivalent-expression
#simplification
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A (7a-2b)
B (7a-4b)
C (3a-4b)
D (7ab-4)
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Correct Answer
B. (7a-4b)
Explanation
Simple Explanation
(2a+5a=7a) और (-3b-b=-4b)। समान पदों को अलग-अलग जोड़ें। / (2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.
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व्यंजक \(3x^2y+4xy^2-5\) में कितने चर प्रयुक्त हुए हैं?
How many variables are used in the expression \(3x^2y+4xy^2-5\)?
#algebraic-expressions
#variables
#count
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A (1)
B (2)
C (3)
D (5)
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Explanation
Simple Explanation
इस व्यंजक में अलग-अलग चर (x) और (y) हैं। घात बदलने से नया चर नहीं बनता। / The distinct variables in this expression are (x) and (y). Changing powers does not create a new variable.
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(7(z-1)+2) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (7(z-1)+2)?
#algebraic-expressions
#expansion
#constant
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A (7z-5)
B (7z-9)
C (9z-7)
D (7z+9)
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Explanation
Simple Explanation
(7(z-1)=7z-7) और फिर (2) जोड़ने पर (7z-5) मिलता है। कोष्ठक खोलने के बाद स्थिर पद जोड़ें। / (7(z-1)=7z-7), and adding (2) gives (7z-5). Add constant terms after expanding brackets.
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कौन-सा विकल्प असमान पदों का सही उदाहरण है?
Which option is a correct example of unlike terms?
#algebraic-expressions
#unlike-terms
#powers
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A (4c) और (-9c) / (4c) and (-9c)
B (6uv) और (2uv) / (6uv) and (2uv)
C \(5s^2\) और (5s) / \(5s^2\) and (5s)
D (3) और (-8) / (3) and (-8)
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Correct Answer
C. \(5s^2\) और (5s) / \(5s^2\) and (5s)
Explanation
Simple Explanation
\(5s^2\) और (5s) में (s) की घात अलग है। इसलिए ये असमान पद हैं। / In \(5s^2\) and (5s), the power of (s) is different. So they are unlike terms.
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यदि (k=4), तो \(k^2-2k+3\) का मान क्या होगा?
If (k=4), what is the value of \(k^2-2k+3\)?
#algebraic-expressions
#evaluation
#quadratic-expression
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A (7)
B (9)
C (11)
D (15)
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Explanation
Simple Explanation
(42 -2(4)+3=16-8+3=11)। मान निकालते समय क्रियाओं का क्रम न भूलें। / (42 -2(4)+3=16-8+3=11). Do not forget the order of operations while evaluating.
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\(a^2+a+a^2+3\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(a^2+a+a^2+3\)?
#algebraic-expressions
#simplification
#powers
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A \(2a^2+a+3\)
B \(3a^2+3\)
C \(2a^3+3\)
D \(a^2+2a+3\)
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Correct Answer
A. \(2a^2+a+3\)
Explanation
Simple Explanation
दो \(a^2\) पद मिलकर \(2a^2\) बनते हैं। (a) और (3) अलग रहते हैं। / The two \(a^2\) terms combine to make \(2a^2\). (a) and (3) remain separate.
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कौन-सा व्यंजक (-3) को (x) से गुणा करके (8) जोड़ने को दर्शाता है?
Which expression represents multiplying (x) by (-3) and then adding (8)?
#algebraic-expressions
#word-to-expression
#negative-coefficient
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A (3x+8)
B (-3x+8)
C (8x-3)
D (-3(x+8))
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Correct Answer
B. (-3x+8)
Explanation
Simple Explanation
पहले (-3) और (x) का गुणनफल (-3x) है। फिर (8) जोड़ने पर (-3x+8) मिलता है। / First the product of (-3) and (x) is (-3x). Then adding (8) gives (-3x+8).
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\(2x^2-3x+5x^2-x\) का सरल रूप क्या है?
What is the simplified form of \(2x^2-3x+5x^2-x\)?
#algebraic-expressions
#like-terms
#simplify-polynomial
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A \(7x^2-4x\)
B \(7x^2+2x\)
C \(3x^2-4x\)
D \(7x^3-4\)
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Correct Answer
A. \(7x^2-4x\)
Explanation
Simple Explanation
\(2x^2+5x^2=7x^2\) और (-3x-x=-4x)। समान घात वाले पदों को मिलाएँ। / \(2x^2+5x^2=7x^2\) and (-3x-x=-4x). Combine terms with the same powers.
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(3a(2a-1)) को खोलने पर क्या मिलेगा?
What is obtained by expanding (3a(2a-1))?
#algebraic-expressions
#expansion
#monomial-product
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A (6a-3a)
B \(6a^2-3a\)
C \(5a^2-1\)
D \(6a^2+3a\)
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Correct Answer
B. \(6a^2-3a\)
Explanation
Simple Explanation
(3a) को (2a) और (-1) दोनों से गुणा करें। परिणाम \(6a^2-3a\) है। / Multiply (3a) by both (2a) and (-1). The result is \(6a^2-3a\).
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किस व्यंजक में स्थिर पद नहीं है?
Which expression has no constant term?
#algebraic-expressions
#constant-term
#identification
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A \(x^2+3\)
B (4y-7)
C (5mn+2m)
D (9-z)
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Correct Answer
C. (5mn+2m)
Explanation
Simple Explanation
(5mn+2m) के हर पद में चर है। इसलिए अलग स्थिर पद नहीं है। / Every term in (5mn+2m) has a variable. Therefore, there is no separate constant term.
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यदि (u=1) और (v=-2), तो \(4u+v^2\) का मान क्या होगा?
If (u=1) and (v=-2), what is the value of \(4u+v^2\)?
#algebraic-expressions
#substitution
#two-variables
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A (2)
B (4)
C (6)
D (8)
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Explanation
Simple Explanation
(4(1)+(-2)2 =4+4=8)। ऋणात्मक संख्या का वर्ग धनात्मक होता है। / (4(1)+(-2)2 =4+4=8). The square of a negative number is positive.
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(x) और (y) के अंतर के दोगुने का व्यंजक कौन-सा है?
Which expression represents twice the difference of (x) and (y)?
#algebraic-expressions
#word-to-expression
#brackets
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A (2x-y)
B (x-2y)
C (2(x-y))
D (2xy)
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Correct Answer
C. (2(x-y))
Explanation
Simple Explanation
पहले अंतर (x-y) बनता है फिर उसका दोगुना लेते हैं। इसलिए (2(x-y)) सही है। / First form the difference (x-y), then take twice of it. So (2(x-y)) is correct.
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\(10q^2-4q+q^2+6q\) को सरल करने पर कौन-सा व्यंजक बनेगा?
Which expression is formed after simplifying \(10q^2-4q+q^2+6q\)?
#algebraic-expressions
#combine-like-terms
#quadratic
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A \(11q^2+2q\)
B \(9q^2+2q\)
C \(11q^2-10q\)
D \(12q^3\)
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Correct Answer
A. \(11q^2+2q\)
Explanation
Simple Explanation
\(10q^2+q^2=11q^2\) और (-4q+6q=2q)। घात के आधार पर पद मिलाएँ। / \(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.
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कौन-सा कथन (0) गुणांक के बारे में सही है?
Which statement about coefficient (0) is correct?
#algebraic-expressions
#zero-coefficient
#basics
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A (0x) का मान (x) होता है / The value of (0x) is (x)
B (0x) का मान (0) होता है / The value of (0x) is (0)
C (0x) का मान (1) होता है / The value of (0x) is (1)
D (0x) हमेशा द्विपदी है / (0x) is always a binomial
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Correct Answer
B. (0x) का मान (0) होता है / The value of (0x) is (0)
Explanation
Simple Explanation
किसी भी संख्या या चर को (0) से गुणा करने पर (0) मिलता है। इसलिए (0x=0) है। / Multiplying any number or variable by (0) gives (0). Therefore, (0x=0).
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(5x-2(3x-4)) का सरल रूप क्या है?
What is the simplified form of (5x-2(3x-4))?
#algebraic-expressions
#brackets
#negative-distribution
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A (x-8)
B (-x+8)
C (11x-8)
D (-x-8)
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Explanation
Simple Explanation
(-2(3x-4)=-6x+8), इसलिए (5x-6x+8=-x+8)। कोष्ठक के बाहर ऋणात्मक गुणन पर ध्यान दें। / (-2(3x-4)=-6x+8), so (5x-6x+8=-x+8). Pay attention to negative multiplication outside brackets.
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व्यंजक \(2x^2y^3\) में (y) की घात क्या है?
What is the power of (y) in the expression \(2x^2y^3\)?
#algebraic-expressions
#powers
#variables
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A (2)
B (3)
C (5)
D (1)
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Explanation
Simple Explanation
(y) के ऊपर लिखी घात (3) है। अलग-अलग चर की घात अलग देखी जाती है। / The power written on (y) is (3). Powers of different variables are checked separately.
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कौन-सा व्यंजक (x) के आधे और (7) के योग को दर्शाता है?
Which expression represents the sum of half of (x) and (7)?
#algebraic-expressions
#word-to-expression
#fraction
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A (2x+7)
B (x+14)
C \(\frac{x}{2}+7\)
D \(7-\frac{x}{2}\)
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Correct Answer
C. \(\frac{x}{2}+7\)
Explanation
Simple Explanation
(x) का आधा \(\frac{x}{2}\) है और उसमें (7) जोड़ना है। इसलिए \(\frac{x}{2}+7\) सही है। / Half of (x) is \(\frac{x}{2}\), and (7) must be added to it. So \(\frac{x}{2}+7\) is correct.
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यदि (x=5), तो \(\frac{x+3}{2}\) का मान क्या होगा?
If (x=5), what is the value of \(\frac{x+3}{2}\)?
#algebraic-expressions
#substitution
#fraction
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A (4)
B (5)
C (6)
D (8)
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Explanation
Simple Explanation
\(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\)। भिन्न में पहले अंश को सरल करें। / \(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\). Simplify the numerator first in a fraction.
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(3x+2y-x+5y) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (3x+2y-x+5y)?
#algebraic-expressions
#simplification
#two-variables
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A (2x+7y)
B (4x+7y)
C (2x-3y)
D (9xy)
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Correct Answer
A. (2x+7y)
Explanation
Simple Explanation
(3x-x=2x) और (2y+5y=7y)। अलग-अलग चर वाले पदों को अलग जोड़ें। / (3x-x=2x) and (2y+5y=7y). Combine terms with different variables separately.
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कौन-सा विकल्प (2(x+4)) के बराबर नहीं है?
Which option is not equal to (2(x+4))?
#algebraic-expressions
#equivalent-expression
#expansion
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A (2x+8)
B (8+2x)
C (2x+4)
D \(2\cdot x+2\cdot4\)
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Explanation
Simple Explanation
(2(x+4)) खोलने पर (2x+8) मिलता है। (2x+4) में (4) को (2) से गुणा नहीं किया गया। / Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).
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\(a^2b\) और \(ab^2\) को समान पद बनाने के लिए कौन-सी शर्त चाहिए?
What condition is needed for \(a^2b\) and \(ab^2\) to be like terms?
#algebraic-expressions
#like-terms
#condition
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A केवल गुणांक समान हों / Only coefficients must be same
B चर भाग बिल्कुल समान हो / Variable parts must be exactly same
C दोनों में केवल (a) हो / Both must contain only (a)
D दोनों में स्थिर पद हो / Both must have constant terms
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Correct Answer
B. चर भाग बिल्कुल समान हो / Variable parts must be exactly same
Explanation
Simple Explanation
समान पदों के लिए चर और उनकी घातें बिल्कुल समान होनी चाहिए। यहाँ घातों की अदला-बदली से पद असमान हैं। / For like terms, variables and their powers must be exactly the same. Here swapped powers make the terms unlike.
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यदि (n=-1), तो \(4n^2+3n-2\) का मान क्या होगा?
If (n=-1), what is the value of \(4n^2+3n-2\)?
#algebraic-expressions
#evaluation
#negative-substitution
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A (1)
B (-1)
C (5)
D (-9)
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Explanation
Simple Explanation
(4(-1)2 +3(-1)-2=4-3-2=-1)। ऋणात्मक मान रखते समय कोष्ठक उपयोग करें। / (4(-1)2 +3(-1)-2=4-3-2=-1). Use brackets while substituting a negative value.
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(2ab+3ab-4a) में कौन-सा पद (ab) का समान पद नहीं है?
In (2ab+3ab-4a), which term is not a like term of (ab)?
#algebraic-expressions
#like-terms
#identification
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A (2ab)
B (3ab)
C (-4a)
D (5ab)
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Explanation
Simple Explanation
(-4a) में केवल (a) है जबकि (ab) में (a) और (b) दोनों हैं। इसलिए यह समान पद नहीं है। / (-4a) has only (a), while (ab) has both (a) and (b). So it is not a like term.
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किस व्यंजक का सरल रूप (6x-9) है?
Which expression has the simplified form (6x-9)?
#algebraic-expressions
#expansion
#equivalent-form
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A (3(2x-3))
B (2(3x+9))
C (6(x-9))
D (9(6x-1))
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Correct Answer
A. (3(2x-3))
Explanation
Simple Explanation
(3(2x-3)=6x-9)। कोष्ठक खोलकर विकल्प जाँचें। / (3(2x-3)=6x-9). Expand the bracket to check the option.
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\(x^2-2x+4-x^2+5x\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(x^2-2x+4-x^2+5x\)?
#algebraic-expressions
#cancellation
#simplification
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A \(2x^2+3x+4\)
B (3x+4)
C (7x+4)
D (3x-4)
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Explanation
Simple Explanation
\(x^2-x^2=0\) और (-2x+5x=3x)। इसलिए सरल रूप (3x+4) है। / \(x^2-x^2=0\) and (-2x+5x=3x). Therefore, the simplified form is (3x+4).
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