(4(2x-3)+x) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (4(2x-3)+x)?
#algebraic-expressions
#expansion
#simplification
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A (8x-12)
B (9x+12)
C (9x-12)
D (8x-3)
Explanation opens after your attempt
Correct Answer
C. (9x-12)
Step 1
Concept
First expand (4(2x-3)=8x-12) and then add (x). Combining like terms gives (9x-12).
Step 2
Why this answer is correct
The correct answer is C. (9x-12). First expand (4(2x-3)=8x-12) and then add (x). Combining like terms gives (9x-12).
Step 3
Exam Tip
पहले (4(2x-3)=8x-12) करें और फिर (x) जोड़ें। समान पद मिलाने पर (9x-12) मिलता है।
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(5(2x-1)+3) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (5(2x-1)+3)?
#algebraic-expressions
#expansion
#simplification
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A (10x-8)
B (7x+2)
C (10x+2)
D (10x-2)
Explanation opens after your attempt
Correct Answer
D. (10x-2)
Step 1
Concept
(5(2x-1)=10x-5) and adding (3) gives (10x-2). Open brackets first.
Step 2
Why this answer is correct
The correct answer is D. (10x-2). (5(2x-1)=10x-5) and adding (3) gives (10x-2). Open brackets first.
Step 3
Exam Tip
(5(2x-1)=10x-5) और (3) जोड़ने पर (10x-2) मिलता है। कोष्ठक पहले खोलें।
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यदि (a=-2) और (b=3) हो तो \(a^2+2b\) का मान क्या होगा?
If (a=-2) and (b=3), what is the value of \(a^2+2b\)?
#algebraic-expressions
#substitution
#negative-values
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A (10)
B (2)
C (-10)
D (8)
Explanation opens after your attempt
Step 1
Concept
Substituting gives ((-2)2 +2(3)=4+6=10). Use brackets while squaring a negative number.
Step 2
Why this answer is correct
The correct answer is A. (10). Substituting gives ((-2)2 +2(3)=4+6=10). Use brackets while squaring a negative number.
Step 3
Exam Tip
मान रखने पर ((-2)2 +2(3)=4+6=10)। ऋणात्मक संख्या का वर्ग करते समय कोष्ठक लगाएँ।
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यदि (x=-3) हो तो \(x^2-2x+4\) का मान क्या होगा?
If (x=-3), what is the value of \(x^2-2x+4\)?
#algebraic-expressions
#evaluation
#negative-substitution
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A (7)
B (19)
C (1)
D (-11)
Explanation opens after your attempt
Step 1
Concept
((-3)2 -2(-3)+4=9+6+4=19). Use brackets while substituting a negative value.
Step 2
Why this answer is correct
The correct answer is B. (19). ((-3)2 -2(-3)+4=9+6+4=19). Use brackets while substituting a negative value.
Step 3
Exam Tip
((-3)2 -2(-3)+4=9+6+4=19)। ऋणात्मक मान रखते समय कोष्ठक लगाएँ।
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(7xy-2x+5xy+3x) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (7xy-2x+5xy+3x)?
#algebraic-expressions
#like-terms
#two-variables
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A (12xy-5x)
B (12x+y)
C (2xy+x)
D (12xy+x)
Explanation opens after your attempt
Correct Answer
D. (12xy+x)
Step 1
Concept
(7xy+5xy=12xy) and (-2x+3x=x). Combine terms with the same variable part.
Step 2
Why this answer is correct
The correct answer is D. (12xy+x). (7xy+5xy=12xy) and (-2x+3x=x). Combine terms with the same variable part.
Step 3
Exam Tip
(7xy+5xy=12xy) और (-2x+3x=x) है। समान चर भाग वाले पदों को साथ मिलाएँ।
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(6a+4b-2a+5b) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (6a+4b-2a+5b)?
#algebraic-expressions
#like-terms
#two-variables
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A (4a+9b)
B (8a+b)
C (4a-b)
D (8a+9b)
Explanation opens after your attempt
Correct Answer
A. (4a+9b)
Step 1
Concept
(6a-2a=4a) and (4b+5b=9b). Combine terms with the same variable separately.
Step 2
Why this answer is correct
The correct answer is A. (4a+9b). (6a-2a=4a) and (4b+5b=9b). Combine terms with the same variable separately.
Step 3
Exam Tip
(6a-2a=4a) और (4b+5b=9b)। समान चर वाले पदों को अलग-अलग मिलाएँ।
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किसी संख्या (n) के वर्ग से उसके (5) गुने को घटाने का व्यंजक कौन-सा है?
Which expression represents subtracting (5) times a number (n) from the square of that number?
#algebraic-expressions
#word-to-expression
#difference
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A \(5n-n^2\)
B \(n^2-5n\)
C \(n^2+5n\)
D \(5n^2-n\)
Explanation opens after your attempt
Correct Answer
B. \(n^2-5n\)
Step 1
Concept
The square of the number is \(n^2\) and (5) times it is (5n). Subtracting gives \(n^2-5n\).
Step 2
Why this answer is correct
The correct answer is B. \(n^2-5n\). The square of the number is \(n^2\) and (5) times it is (5n). Subtracting gives \(n^2-5n\).
Step 3
Exam Tip
संख्या का वर्ग \(n^2\) है और उसका (5) गुना (5n) है। घटाने पर \(n^2-5n\) मिलेगा।
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किसी संख्या (p) के वर्ग में उसके (4) गुने को जोड़ने का व्यंजक कौन-सा है?
Which expression represents adding four times a number (p) to its square?
#algebraic-expressions
#word-to-expression
#sum
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A \(4p^2+p\)
B \(p^2-4p\)
C \(p^2+4p\)
D (4\(p^2+p\))
Explanation opens after your attempt
Correct Answer
C. \(p^2+4p\)
Step 1
Concept
The square of the number is \(p^2\) and four times it is (4p). Adding gives \(p^2+4p\).
Step 2
Why this answer is correct
The correct answer is C. \(p^2+4p\). The square of the number is \(p^2\) and four times it is (4p). Adding gives \(p^2+4p\).
Step 3
Exam Tip
संख्या का वर्ग \(p^2\) है और उसका (4) गुना (4p) है। जोड़ने पर \(p^2+4p\) मिलता है।
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\(3p^2-4p+6-2p^2+p\) में सरल करने के बाद \(p^2\) का गुणांक क्या होगा?
After simplifying \(3p^2-4p+6-2p^2+p\), what will be the coefficient of \(p^2\)?
#algebraic-expressions
#coefficient
#combine-like-terms
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A (3)
B (-2)
C (1)
D (-3)
Explanation opens after your attempt
Step 1
Concept
\(3p^2-2p^2=p^2\), so the coefficient of \(p^2\) is (1). Identify coefficients with their signs.
Step 2
Why this answer is correct
The correct answer is C. (1). \(3p^2-2p^2=p^2\), so the coefficient of \(p^2\) is (1). Identify coefficients with their signs.
Step 3
Exam Tip
\(3p^2-2p^2=p^2\) इसलिए \(p^2\) का गुणांक (1) है। गुणांक को चिन्ह सहित पहचानें।
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\(9m^2-3m^2+7m-2\) में \(m^2\) पदों को मिलाने पर क्या मिलेगा?
What is obtained by combining the \(m^2\) terms in \(9m^2-3m^2+7m-2\)?
#algebraic-expressions
#like-terms
#powers
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A \(12m^2\)
B (6m)
C \(6m^2+7m\)
D \(6m^2\)
Explanation opens after your attempt
Correct Answer
D. \(6m^2\)
Step 1
Concept
\(9m^2-3m^2=6m^2\). Combine only terms with the same power.
Step 2
Why this answer is correct
The correct answer is D. \(6m^2\). \(9m^2-3m^2=6m^2\). Combine only terms with the same power.
Step 3
Exam Tip
\(9m^2-3m^2=6m^2\)। केवल समान घात वाले पदों को मिलाएँ।
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यदि (a=2) और (b=-4) हो तो (ab+3a) का मान क्या होगा?
If (a=2) and (b=-4), what is the value of (ab+3a)?
#algebraic-expressions
#substitution
#two-variables
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A (-2)
B (2)
C (-14)
D (10)
Explanation opens after your attempt
Step 1
Concept
(ab+3a=2(-4)+3(2)=-8+6=-2). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is A. (-2). (ab+3a=2(-4)+3(2)=-8+6=-2). Multiply first and then add.
Step 3
Exam Tip
(ab+3a=2(-4)+3(2)=-8+6=-2)। पहले गुणा करें फिर जोड़ें।
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(8x-(3x-5)) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (8x-(3x-5))?
#algebraic-expressions
#brackets
#minus-sign
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A (5x-5)
B (5x+5)
C (11x-5)
D (11x+5)
Explanation opens after your attempt
Step 1
Concept
When a minus sign is before the bracket, signs inside change. So (8x-3x+5=5x+5).
Step 2
Why this answer is correct
The correct answer is B. (5x+5). When a minus sign is before the bracket, signs inside change. So (8x-3x+5=5x+5).
Step 3
Exam Tip
कोष्ठक से पहले ऋण चिन्ह हो तो अंदर के चिन्ह बदलते हैं। इसलिए (8x-3x+5=5x+5)।
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कौन-सा जोड़ा असमान पदों का है?
Which pair consists of unlike terms?
#algebraic-expressions
#unlike-terms
#exponents
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A (7xy) और (-2xy) / (7xy) and (-2xy)
B \(5r^2s\) और \(9r^2s\) / \(5r^2s\) and \(9r^2s\)
C \(4u^2\) और (4u) / \(4u^2\) and (4u)
D (3pq) और (-8pq) / (3pq) and (-8pq)
Explanation opens after your attempt
Correct Answer
C. \(4u^2\) और (4u) / \(4u^2\) and (4u)
Step 1
Concept
In \(4u^2\) and (4u), the power of (u) is different. Different powers make terms unlike.
Step 2
Why this answer is correct
The correct answer is C. \(4u^2\) और (4u) / \(4u^2\) and (4u). In \(4u^2\) and (4u), the power of (u) is different. Different powers make terms unlike.
Step 3
Exam Tip
\(4u^2\) और (4u) में (u) की घात अलग है। घात अलग हो तो पद असमान होते हैं।
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\(2y^2+5y-7+3y^2-2y\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(2y^2+5y-7+3y^2-2y\)?
#algebraic-expressions
#simplification
#quadratic
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A \(5y^2+7y-7\)
B \(y^2+3y-7\)
C \(5y^2+3y+7\)
D \(5y^2+3y-7\)
Explanation opens after your attempt
Correct Answer
D. \(5y^2+3y-7\)
Step 1
Concept
\(2y^2+3y^2=5y^2\) and (5y-2y=3y). The constant term (-7) remains separate.
Step 2
Why this answer is correct
The correct answer is D. \(5y^2+3y-7\). \(2y^2+3y^2=5y^2\) and (5y-2y=3y). The constant term (-7) remains separate.
Step 3
Exam Tip
\(2y^2+3y^2=5y^2\) और (5y-2y=3y)। स्थिर पद (-7) अलग रहता है।
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\(12p^2q\) में (q) की घात क्या है?
What is the power of (q) in \(12p^2q\)?
#algebraic-expressions
#power
#variables
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A (1)
B (2)
C (12)
D (3)
Explanation opens after your attempt
Step 1
Concept
No power is written on (q), so its power is taken as (1). Treat an invisible power as (1).
Step 2
Why this answer is correct
The correct answer is A. (1). No power is written on (q), so its power is taken as (1). Treat an invisible power as (1).
Step 3
Exam Tip
(q) पर कोई घात लिखी नहीं है इसलिए उसकी घात (1) मानी जाती है। अदृश्य घात को (1) समझें।
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कौन-सा व्यंजक (x) और (y) के योग से (6) कम को दर्शाता है?
Which expression represents (6) less than the sum of (x) and (y)?
#algebraic-expressions
#word-to-expression
#subtraction
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A (x-y-6)
B (x+y+6)
C (x+y-6)
D (6-x-y)
Explanation opens after your attempt
Correct Answer
C. (x+y-6)
Step 1
Concept
First the sum is (x+y), and (6) is subtracted from it. So (x+y-6) is correct.
Step 2
Why this answer is correct
The correct answer is C. (x+y-6). First the sum is (x+y), and (6) is subtracted from it. So (x+y-6) is correct.
Step 3
Exam Tip
पहले योग (x+y) है और उससे (6) घटाना है। इसलिए (x+y-6) सही है।
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(4(3n+2)-2(n+5)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4(3n+2)-2(n+5))?
#algebraic-expressions
#expansion
#combine-like-terms
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A (10n-2)
B (10n-2)
C (14n+18)
D (10n+18)
Explanation opens after your attempt
Correct Answer
A. (10n-2)
Step 1
Concept
Expanding gives (12n+8-2n-10). Combining like terms gives (10n-2).
Step 2
Why this answer is correct
The correct answer is A. (10n-2). Expanding gives (12n+8-2n-10). Combining like terms gives (10n-2).
Step 3
Exam Tip
खोलने पर (12n+8-2n-10) मिलता है। समान पद मिलाकर (10n-2) बनेगा।
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\(3ab^2\) और \(-10ab^2\) के बारे में सही कथन कौन-सा है?
Which statement is correct about \(3ab^2\) and \(-10ab^2\)?
#algebraic-expressions
#like-terms
#multiple-variables
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A ये स्थिर पद हैं / They are constant terms
B ये असमान पद हैं / They are unlike terms
C ये समान पद हैं / They are like terms
D इनके चर भाग अलग हैं / Their variable parts are different
Explanation opens after your attempt
Correct Answer
C. ये समान पद हैं / They are like terms
Step 1
Concept
Both terms have the same variable part \(ab^2\). Terms can be like even if coefficients are different.
Step 2
Why this answer is correct
The correct answer is C. ये समान पद हैं / They are like terms. Both terms have the same variable part \(ab^2\). Terms can be like even if coefficients are different.
Step 3
Exam Tip
दोनों पदों का चर भाग \(ab^2\) समान है। गुणांक अलग होने पर भी पद समान हो सकते हैं।
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यदि (t=5) हो तो \(t^2-4t+6\) का मान क्या होगा?
If (t=5), what is the value of \(t^2-4t+6\)?
#algebraic-expressions
#evaluation
#order-of-operations
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A (31)
B (11)
C (9)
D (1)
Explanation opens after your attempt
Step 1
Concept
(52 -4(5)+6=25-20+6=11). Do powers first and then multiplication.
Step 2
Why this answer is correct
The correct answer is B. (11). (52 -4(5)+6=25-20+6=11). Do powers first and then multiplication.
Step 3
Exam Tip
(52 -4(5)+6=25-20+6=11)। पहले घात फिर गुणा करें।
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(15xy-4x+6xy+9x) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (15xy-4x+6xy+9x)?
#algebraic-expressions
#like-terms
#two-variables
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A (21xy+5x)
B (9xy+5x)
C \(21x^2y+5\)
D (21xy-13x)
Explanation opens after your attempt
Correct Answer
A. (21xy+5x)
Step 1
Concept
(15xy+6xy=21xy) and (-4x+9x=5x). Combine terms with the same variable part.
Step 2
Why this answer is correct
The correct answer is A. (21xy+5x). (15xy+6xy=21xy) and (-4x+9x=5x). Combine terms with the same variable part.
Step 3
Exam Tip
(15xy+6xy=21xy) और (-4x+9x=5x)। समान चर भाग वाले पद साथ मिलाएँ।
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\(-6x^2+11x-3\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(-6x^2+11x-3\)?
#algebraic-expressions
#coefficient
#negative
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A (6)
B (11)
C (-6)
D (-3)
Explanation opens after your attempt
Step 1
Concept
\(x^2\) is multiplied by (-6). A coefficient is always taken with its sign.
Step 2
Why this answer is correct
The correct answer is C. (-6). \(x^2\) is multiplied by (-6). A coefficient is always taken with its sign.
Step 3
Exam Tip
\(x^2\) के साथ (-6) गुणा हो रहा है। गुणांक हमेशा चिन्ह सहित लिया जाता है।
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कौन-सा व्यंजक (r) के दोगुने और (s) के तीन गुने के योग को दर्शाता है?
Which expression represents the sum of twice (r) and three times (s)?
#algebraic-expressions
#word-to-expression
#two-variables
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A (2(r+3s))
B (3r+2s)
C (2r-3s)
D (2r+3s)
Explanation opens after your attempt
Correct Answer
D. (2r+3s)
Step 1
Concept
Twice (r) is (2r) and three times (s) is (3s). Their sum is (2r+3s).
Step 2
Why this answer is correct
The correct answer is D. (2r+3s). Twice (r) is (2r) and three times (s) is (3s). Their sum is (2r+3s).
Step 3
Exam Tip
(r) का दोगुना (2r) और (s) का तीन गुना (3s) है। योग (2r+3s) होगा।
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यदि (u=-2) और (v=1) हो तो \(u^2-uv\) का मान क्या होगा?
If (u=-2) and (v=1), what is the value of \(u^2-uv\)?
#algebraic-expressions
#substitution
#signs
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A (2)
B (4)
C (6)
D (-2)
Explanation opens after your attempt
Step 1
Concept
(u-2 -uv=(-2)2 -(-2)(1)=4+2=6). Watch the sign in negative multiplication carefully.
Step 2
Why this answer is correct
The correct answer is C. (6). (u-2 -uv=(-2)2 -(-2)(1)=4+2=6). Watch the sign in negative multiplication carefully.
Step 3
Exam Tip
(u-2 -uv=(-2)2 -(-2)(1)=4+2=6)। ऋणात्मक गुणन का चिन्ह ध्यान से देखें।
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(2x-2 (3x-4)) को खोलने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained by expanding (2x-2 (3x-4))?
#algebraic-expressions
#expansion
#monomial-product
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A \(6x^2-8x^2\)
B \(6x^3-8x^2\)
C \(5x^3-6x^2\)
D \(6x^3+8x^2\)
Explanation opens after your attempt
Correct Answer
B. \(6x^3-8x^2\)
Step 1
Concept
Multiply \(2x^2\) by both (3x) and (-4). This gives \(6x^3-8x^2\).
Step 2
Why this answer is correct
The correct answer is B. \(6x^3-8x^2\). Multiply \(2x^2\) by both (3x) and (-4). This gives \(6x^3-8x^2\).
Step 3
Exam Tip
\(2x^2\) को (3x) और (-4) दोनों से गुणा करें। इससे \(6x^3-8x^2\) मिलता है।
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\(5p^2q-3pq+2p^2q\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(5p^2q-3pq+2p^2q\)?
#algebraic-expressions
#simplification
#multiple-variables
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A \(7p^2q-3pq\)
B \(10p^2q-3pq\)
C (7pq-3pq)
D \(4p^2q\)
Explanation opens after your attempt
Correct Answer
A. \(7p^2q-3pq\)
Step 1
Concept
\(5p^2q\) and \(2p^2q\) are like terms. (-3pq) has a different variable part.
Step 2
Why this answer is correct
The correct answer is A. \(7p^2q-3pq\). \(5p^2q\) and \(2p^2q\) are like terms. (-3pq) has a different variable part.
Step 3
Exam Tip
\(5p^2q\) और \(2p^2q\) समान पद हैं। (-3pq) अलग चर भाग वाला पद है।
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(4x+7-9x+2) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4x+7-9x+2)?
#algebraic-expressions
#simplification
#constant
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A (13x+9)
B (-5x+9)
C (5x+9)
D (-5x+5)
Explanation opens after your attempt
Correct Answer
B. (-5x+9)
Step 1
Concept
(4x-9x=-5x) and (7+2=9). Combine variable and constant terms separately.
Step 2
Why this answer is correct
The correct answer is B. (-5x+9). (4x-9x=-5x) and (7+2=9). Combine variable and constant terms separately.
Step 3
Exam Tip
(4x-9x=-5x) और (7+2=9)। चर और स्थिर पद अलग-अलग मिलाएँ।
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किस व्यंजक का सरल रूप (7x-14) है?
Which expression has the simplified form (7x-14)?
#algebraic-expressions
#equivalent-expression
#expansion
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A (7(x+2))
B (14(x-7))
C (7(x-2))
D (2(7x-14))
Explanation opens after your attempt
Correct Answer
C. (7(x-2))
Step 1
Concept
Expanding (7(x-2)) gives (7x-14). Use the distributive rule to check options.
Step 2
Why this answer is correct
The correct answer is C. (7(x-2)). Expanding (7(x-2)) gives (7x-14). Use the distributive rule to check options.
Step 3
Exam Tip
(7(x-2)) खोलने पर (7x-14) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ।
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\(3x^2y^2\) में कुल चर कौन-कौन से हैं?
Which variables are present in \(3x^2y^2\)?
#algebraic-expressions
#variables
#identification
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A केवल (x) / Only (x)
B केवल (y) / Only (y)
C (x) और (y) / (x) and (y)
D (3) और (2) / (3) and (2)
Explanation opens after your attempt
Correct Answer
C. (x) और (y) / (x) and (y)
Step 1
Concept
The variables in this term are (x) and (y). Coefficients and powers are not variables.
Step 2
Why this answer is correct
The correct answer is C. (x) और (y) / (x) and (y). The variables in this term are (x) and (y). Coefficients and powers are not variables.
Step 3
Exam Tip
इस पद में चर (x) और (y) हैं। गुणांक और घात चर नहीं होते।
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यदि (k=3), तो (2(k+4)-k-2 ) का मान क्या होगा?
If (k=3), what is the value of (2(k+4)-k-2 )?
#algebraic-expressions
#evaluation
#brackets
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A (5)
B (7)
C (9)
D (14)
Explanation opens after your attempt
Step 1
Concept
(2(3+4)-32 =14-9=5). Evaluate brackets and powers first.
Step 2
Why this answer is correct
The correct answer is A. (5). (2(3+4)-32 =14-9=5). Evaluate brackets and powers first.
Step 3
Exam Tip
(2(3+4)-32 =14-9=5)। पहले कोष्ठक और घात का मान निकालें।
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\(11a^2-4a+6a-5a^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(11a^2-4a+6a-5a^2\)?
#algebraic-expressions
#combine-like-terms
#powers
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A \(16a^2+2a\)
B \(6a^2+2a\)
C \(6a^2-10a\)
D \(6a^3+2a\)
Explanation opens after your attempt
Correct Answer
B. \(6a^2+2a\)
Step 1
Concept
\(11a^2-5a^2=6a^2\) and (-4a+6a=2a). Combine terms according to powers.
Step 2
Why this answer is correct
The correct answer is B. \(6a^2+2a\). \(11a^2-5a^2=6a^2\) and (-4a+6a=2a). Combine terms according to powers.
Step 3
Exam Tip
\(11a^2-5a^2=6a^2\) और (-4a+6a=2a)। घात के अनुसार पद मिलाएँ।
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कौन-सा व्यंजक (x) के वर्ग और (5) के योग के दोगुने को दर्शाता है?
Which expression represents twice the sum of the square of (x) and (5)?
#algebraic-expressions
#word-to-expression
#brackets
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A \(2x^2+5\)
B \(x^2+10\)
C (2\(x^2+5\))
D (2(x+5)2 )
Explanation opens after your attempt
Correct Answer
C. (2\(x^2+5\))
Step 1
Concept
First form the sum \(x^2+5\), then take twice of it. So (2\(x^2+5\)) is correct.
Step 2
Why this answer is correct
The correct answer is C. (2\(x^2+5\)). First form the sum \(x^2+5\), then take twice of it. So (2\(x^2+5\)) is correct.
Step 3
Exam Tip
पहले योग \(x^2+5\) बनेगा और फिर उसका दोगुना लिया जाएगा। इसलिए (2\(x^2+5\)) सही है।
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(7(2r-3)+4(r+1)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (7(2r-3)+4(r+1))?
#algebraic-expressions
#expansion
#simplification
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A (10r-17)
B (18r-17)
C (18r+25)
D (10r+25)
Explanation opens after your attempt
Correct Answer
B. (18r-17)
Step 1
Concept
Expanding gives (14r-21+4r+4). Combining like terms gives (18r-17).
Step 2
Why this answer is correct
The correct answer is B. (18r-17). Expanding gives (14r-21+4r+4). Combining like terms gives (18r-17).
Step 3
Exam Tip
खोलने पर (14r-21+4r+4) मिलता है। समान पद मिलाकर (18r-17) बनेगा।
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\(2ab+5a^2b-7ab+3a^2b\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(2ab+5a^2b-7ab+3a^2b\)?
#algebraic-expressions
#like-terms
#multiple-powers
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A \(8a^2b-5ab\)
B \(8ab-5a^2b\)
C \(-5a^2b+8ab\)
D \(10a^3b\)
Explanation opens after your attempt
Correct Answer
A. \(8a^2b-5ab\)
Step 1
Concept
\(5a^2b+3a^2b=8a^2b\) and (2ab-7ab=-5ab). Only terms with the same variable part combine.
Step 2
Why this answer is correct
The correct answer is A. \(8a^2b-5ab\). \(5a^2b+3a^2b=8a^2b\) and (2ab-7ab=-5ab). Only terms with the same variable part combine.
Step 3
Exam Tip
\(5a^2b+3a^2b=8a^2b\) और (2ab-7ab=-5ab)। समान चर भाग वाले पद ही मिलते हैं।
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यदि (x=2) और (y=-1), तो \(x^2+xy+y^2\) का मान क्या होगा?
If (x=2) and (y=-1), what is the value of \(x^2+xy+y^2\)?
#algebraic-expressions
#evaluation
#two-variables
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A (7)
B (1)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
(22 +2(-1)+(-1)2 =4-2+1=3). Substitute both variables carefully.
Step 2
Why this answer is correct
The correct answer is C. (3). (22 +2(-1)+(-1)2 =4-2+1=3). Substitute both variables carefully.
Step 3
Exam Tip
(22 +2(-1)+(-1)2 =4-2+1=3)। दोनों चर के मान सावधानी से रखें।
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\(5x^2-3x+2\) में रैखिक पद कौन-सा है?
Which is the linear term in \(5x^2-3x+2\)?
#algebraic-expressions
#linear-term
#identification
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A \(5x^2\)
B (2)
C (-3x)
D (3x)
Explanation opens after your attempt
Step 1
Concept
A linear term has the variable with power (1). Here the linear term is (-3x).
Step 2
Why this answer is correct
The correct answer is C. (-3x). A linear term has the variable with power (1). Here the linear term is (-3x).
Step 3
Exam Tip
रैखिक पद में चर की घात (1) होती है। यहाँ रैखिक पद (-3x) है।
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कौन-सा व्यंजक (2(a+b)-a) के बराबर है?
Which expression is equal to (2(a+b)-a)?
#algebraic-expressions
#equivalent-expression
#brackets
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A (a+2b)
B (3a+2b)
C (a+b)
D (2a+b)
Explanation opens after your attempt
Step 1
Concept
(2(a+b)-a=2a+2b-a=a+2b). Expand first and then combine like terms.
Step 2
Why this answer is correct
The correct answer is A. (a+2b). (2(a+b)-a=2a+2b-a=a+2b). Expand first and then combine like terms.
Step 3
Exam Tip
(2(a+b)-a=2a+2b-a=a+2b)। पहले कोष्ठक खोलें फिर समान पद मिलाएँ।
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\(4s^3-2s^2+s-8\) में सबसे बड़ी घात क्या है?
What is the highest power in \(4s^3-2s^2+s-8\)?
#algebraic-expressions
#highest-power
#degree-intro
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A (1)
B (2)
C (3)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3) in \(s^3\). Do not treat the number in the constant term as a power.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3) in \(s^3\). Do not treat the number in the constant term as a power.
Step 3
Exam Tip
सबसे बड़ी घात \(s^3\) में (3) है। स्थिर पद की संख्या को घात न मानें।
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\(6x^2y\) में संख्यात्मक गुणांक कौन-सा है?
What is the numerical coefficient in \(6x^2y\)?
#algebraic-expressions
#numerical-coefficient
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A \(x^2y\)
B (2)
C (6)
D (6x)
Explanation opens after your attempt
Step 1
Concept
The numerical coefficient is the number multiplying the variable part. Here this number is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The numerical coefficient is the number multiplying the variable part. Here this number is (6).
Step 3
Exam Tip
संख्यात्मक गुणांक वह संख्या है जो चर भाग से गुणा होती है। यहाँ यह संख्या (6) है।
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(3(4x-5)-2(2x+1)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (3(4x-5)-2(2x+1))?
#algebraic-expressions
#expansion
#minus
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A (16x-17)
B (8x-17)
C (8x-13)
D (16x-13)
Explanation opens after your attempt
Correct Answer
B. (8x-17)
Step 1
Concept
Expanding gives (12x-15-4x-2). Combining like terms gives (8x-17).
Step 2
Why this answer is correct
The correct answer is B. (8x-17). Expanding gives (12x-15-4x-2). Combining like terms gives (8x-17).
Step 3
Exam Tip
खोलने पर (12x-15-4x-2) मिलता है। समान पद मिलाकर (8x-17) बनेगा।
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कौन-सा व्यंजक (m) और (n) के अंतर के (5) गुने को दर्शाता है?
Which expression represents five times the difference of (m) and (n)?
#algebraic-expressions
#word-to-expression
#difference
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A (5m-n)
B (m-5n)
C (5(m-n))
D (5mn)
Explanation opens after your attempt
Correct Answer
C. (5(m-n))
Step 1
Concept
First the difference (m-n) is formed and then it is multiplied by (5). So (5(m-n)) is correct.
Step 2
Why this answer is correct
The correct answer is C. (5(m-n)). First the difference (m-n) is formed and then it is multiplied by (5). So (5(m-n)) is correct.
Step 3
Exam Tip
पहले अंतर (m-n) बनता है और फिर उसे (5) से गुणा करते हैं। इसलिए (5(m-n)) सही है।
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\(10z^2+z-4z^2-6z+3\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(10z^2+z-4z^2-6z+3\)?
#algebraic-expressions
#simplification
#quadratic
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A \(6z^2-5z+3\)
B \(14z^2-5z+3\)
C \(6z^2+7z+3\)
D \(6z^2-5z-3\)
Explanation opens after your attempt
Correct Answer
A. \(6z^2-5z+3\)
Step 1
Concept
\(10z^2-4z^2=6z^2\) and (z-6z=-5z). The constant term (3) remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(6z^2-5z+3\). \(10z^2-4z^2=6z^2\) and (z-6z=-5z). The constant term (3) remains separate.
Step 3
Exam Tip
\(10z^2-4z^2=6z^2\) और (z-6z=-5z)। स्थिर पद (3) अलग रहता है।
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यदि (c=-2), तो \(2c^3+c^2\) का मान क्या होगा?
If (c=-2), what is the value of \(2c^3+c^2\)?
#algebraic-expressions
#evaluation
#cubic
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A (-12)
B (12)
C (-20)
D (20)
Explanation opens after your attempt
Step 1
Concept
(2(-2)3 +(-2)2 =2(-8)+4=-12). A negative sign remains in an odd power.
Step 2
Why this answer is correct
The correct answer is A. (-12). (2(-2)3 +(-2)2 =2(-8)+4=-12). A negative sign remains in an odd power.
Step 3
Exam Tip
(2(-2)3 +(-2)2 =2(-8)+4=-12)। विषम घात में ऋण चिन्ह बचता है।
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\(a^2b\) और \(ab^2\) समान पद क्यों नहीं हैं?
Why are \(a^2b\) and \(ab^2\) not like terms?
#algebraic-expressions
#unlike-terms
#concept
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A क्योंकि उनके गुणांक समान हैं / Because their coefficients are same
B क्योंकि चर ही नहीं हैं / Because there are no variables
C क्योंकि (a) और (b) की घातें अलग व्यवस्था में हैं / Because powers of (a) and (b) are arranged differently
D क्योंकि दोनों स्थिर पद हैं / Because both are constant terms
Explanation opens after your attempt
Correct Answer
C. क्योंकि (a) और (b) की घातें अलग व्यवस्था में हैं / Because powers of (a) and (b) are arranged differently
Step 1
Concept
Like terms must have the same power of each variable. Here the powers of (a) and (b) are different.
Step 2
Why this answer is correct
The correct answer is C. क्योंकि (a) और (b) की घातें अलग व्यवस्था में हैं / Because powers of (a) and (b) are arranged differently. Like terms must have the same power of each variable. Here the powers of (a) and (b) are different.
Step 3
Exam Tip
समान पदों में प्रत्येक चर की घात समान होनी चाहिए। यहाँ (a) और (b) की घातें अलग हैं।
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(2x-3(4-x)) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (2x-3(4-x))?
#algebraic-expressions
#negative-distribution
#brackets
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A (5x-12)
B (5x+12)
C (-x-12)
D (-x+12)
Explanation opens after your attempt
Correct Answer
A. (5x-12)
Step 1
Concept
(-3(4-x)=-12+3x), so (2x-12+3x=5x-12). Change signs carefully in negative multiplication.
Step 2
Why this answer is correct
The correct answer is A. (5x-12). (-3(4-x)=-12+3x), so (2x-12+3x=5x-12). Change signs carefully in negative multiplication.
Step 3
Exam Tip
(-3(4-x)=-12+3x), इसलिए (2x-12+3x=5x-12)। ऋणात्मक गुणन में चिन्ह ध्यान से बदलें।
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किस व्यंजक में (rs) का गुणांक (8) है?
In which expression is the coefficient of (rs) equal to (8)?
#algebraic-expressions
#coefficient
#two-variables
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A (r+8s)
B (8rs-5r)
C (rs+8)
D (8r-s)
Explanation opens after your attempt
Correct Answer
B. (8rs-5r)
Step 1
Concept
In (8rs-5r), (rs) is multiplied by (8). Therefore, the coefficient of (rs) is (8).
Step 2
Why this answer is correct
The correct answer is B. (8rs-5r). In (8rs-5r), (rs) is multiplied by (8). Therefore, the coefficient of (rs) is (8).
Step 3
Exam Tip
(8rs-5r) में (rs) के साथ (8) गुणा हो रहा है। इसलिए (rs) का गुणांक (8) है।
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\(2x^2+3xy-4x^2+5xy\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(2x^2+3xy-4x^2+5xy\)?
#algebraic-expressions
#like-terms
#mixed-terms
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A \(-2x^2+8xy\)
B \(6x^2+8xy\)
C \(-2x^2-2xy\)
D \(8x^2+8xy\)
Explanation opens after your attempt
Correct Answer
A. \(-2x^2+8xy\)
Step 1
Concept
\(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.
Step 2
Why this answer is correct
The correct answer is A. \(-2x^2+8xy\). \(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.
Step 3
Exam Tip
\(2x^2-4x^2=-2x^2\) और (3xy+5xy=8xy)। समान चर भाग वाले पदों को मिलाएँ।
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यदि (x=1) और (y=5), तो \(2x+y^2\) का मान क्या होगा?
If (x=1) and (y=5), what is the value of \(2x+y^2\)?
#algebraic-expressions
#evaluation
#two-variables
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A (15)
B (27)
C (12)
D (7)
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Step 1
Concept
(2(1)+52 =2+25=27). Evaluate powers and multiplication first.
Step 2
Why this answer is correct
The correct answer is B. (27). (2(1)+52 =2+25=27). Evaluate powers and multiplication first.
Step 3
Exam Tip
(2(1)+52 =2+25=27)। पहले घात और गुणा का मान निकालें।
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कौन-सा विकल्प (6(x+1)-x) के बराबर है?
Which option is equal to (6(x+1)-x)?
#algebraic-expressions
#equivalent-expression
#simplification
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A (6x+1)
B (7x+6)
C (5x+6)
D (6x-1)
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Step 1
Concept
(6(x+1)-x=6x+6-x=5x+6). Combine like terms to identify the equivalent form.
Step 2
Why this answer is correct
The correct answer is C. (5x+6). (6(x+1)-x=6x+6-x=5x+6). Combine like terms to identify the equivalent form.
Step 3
Exam Tip
(6(x+1)-x=6x+6-x=5x+6)। समान पद मिलाकर बराबर रूप पहचानें।
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\(x^2+x+x^2+x+1\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(x^2+x+x^2+x+1\)?
#algebraic-expressions
#combine-like-terms
#repeated-terms
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A \(2x^2+2x+1\)
B \(4x^2+1\)
C \(2x^3+2x+1\)
D \(x^4+1\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2+2x+1\)
Step 1
Concept
The two \(x^2\) terms make \(2x^2\), and the two (x) terms make (2x). The constant (1) remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2+2x+1\). The two \(x^2\) terms make \(2x^2\), and the two (x) terms make (2x). The constant (1) remains separate.
Step 3
Exam Tip
दो \(x^2\) पद \(2x^2\) बनाते हैं और दो (x) पद (2x) बनाते हैं। स्थिर पद (1) अलग रहता है।
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किस व्यंजक में (x) की घात (1) और (y) की घात (2) है?
In which expression is the power of (x) equal to (1) and the power of (y) equal to (2)?
#algebraic-expressions
#powers
#variable-part
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A \(x^2y\)
B \(xy^2\)
C \(x^2y^2\)
D (xy)
Explanation opens after your attempt
Correct Answer
B. \(xy^2\)
Step 1
Concept
In \(xy^2\), the invisible power of (x) is (1) and the power of (y) is (2). Treat an invisible power as (1).
Step 2
Why this answer is correct
The correct answer is B. \(xy^2\). In \(xy^2\), the invisible power of (x) is (1) and the power of (y) is (2). Treat an invisible power as (1).
Step 3
Exam Tip
\(xy^2\) में (x) की अदृश्य घात (1) और (y) की घात (2) है। अदृश्य घात को (1) मानें।
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