Level 25 • 50/50 questions • 30 seconds per question.
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What is the simplified form of (7(2x-3)-4(3x+5))?
A. (2x-41)
कोष्ठक खोलने पर (14x-21-12x-20=2x-41) मिलता है। पहले विस्तार करें फिर समान पद जोड़ें। / Expanding gives (14x-21-12x-20=2x-41). Expand first and then combine like terms.
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If (x=-4), what is the value of \(3x^2+2x-7\)?
B. (33)
मान रखने पर (3(16)-8-7=33) मिलता है। ऋणात्मक संख्या का वर्ग धनात्मक होता है। / Substitution gives (3(16)-8-7=33). The square of a negative number is positive.
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What is the simplified form of \(9a^2-6a+11-4a^2+13a-8\)?
C. \(5a^2+7a+3\)
समान पद जोड़ने पर \(9a^2-4a^2=5a^2\), (-6a+13a=7a), और (11-8=3) मिलता है। घात के अनुसार पदों को समूहित करें। / Combining like terms gives \(9a^2-4a^2=5a^2\), (-6a+13a=7a), and (11-8=3). Group terms by powers.
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What is obtained by subtracting (4x-15) from (11x-9)?
D. (7x+6)
((11x-9)-(4x-15)=11x-9-4x+15=7x+6)। घटाए गए व्यंजक के सभी चिह्न बदलें। / ((11x-9)-(4x-15)=11x-9-4x+15=7x+6). Change all signs of the subtracted expression.
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If (p=3) and (q=-2), what is the value of \(p^2q-2pq^2+q\)?
A. (-44)
मान रखने पर (9(-2)-2(3)(4)-2=-44) मिलता है। \(q^2\) धनात्मक होगा लेकिन (q) ऋणात्मक रहेगा। / Substitution gives (9(-2)-2(3)(4)-2=-44). \(q^2\) will be positive but (q) remains negative.
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What is the simplified form of (6(3m-2n)-5(m-4n))?
B. (13m+8n)
खोलने पर (18m-12n-5m+20n=13m+8n) मिलता है। (m) और (n) वाले पद अलग-अलग जोड़ें। / Expanding gives (18m-12n-5m+20n=13m+8n). Combine (m) and (n) terms separately.
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Which expression represents adding (2x) to (3) times the difference of (x) and (5)?
C. (3(x-5)+2x)
अंतर (x-5) है और उसका (3) गुना (3(x-5)) है। उसमें (2x) जोड़ने पर (3(x-5)+2x) मिलता है। / The difference is (x-5), and three times it is (3(x-5)). Adding (2x) gives (3(x-5)+2x).
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If (r=-3), what is the value of \(2r^3+5r^2-4r\)?
A. (3)
मान रखने पर (2(-27)+5(9)+12=3) मिलता है। विषम घात में ऋणात्मक चिह्न बना रहता है। / Substitution gives (2(-27)+5(9)+12=3). In an odd power, the negative sign remains.
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What is the simplified form of (5x-[3x-{2x+7}])?
A. (4x+7)
अंदर (3x-(2x+7)=x-7), इसलिए (5x-(x-7)=4x+7)। अंदरूनी कोष्ठक पहले हल करें। / Inside (3x-(2x+7)=x-7), so (5x-(x-7)=4x+7). Solve the inner bracket first.
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Which option gives the correct simplified form of (8ab-5a+6ab-9a)?
B. (14ab-14a)
(8ab+6ab=14ab) और (-5a-9a=-14a)। (ab) और (a) असमान पद हैं। / (8ab+6ab=14ab) and (-5a-9a=-14a). (ab) and (a) are unlike terms.
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If (a+b=12) and (ab=20), what is the value of (4(a+b)-3ab)?
A. (-12)
दिए गए मान रखने पर (4(12)-3(20)=48-60=-12) मिलता है। पूरे (a+b) को एक मान की तरह लें। / Using the given values gives (4(12)-3(20)=48-60=-12). Treat the whole (a+b) as one value.
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What is the simplified form of (3x(4x-5)-2x(5x+1))?
B. \(2x^2-17x\)
खोलने पर \(12x^2-15x-10x^2-2x=2x^2-17x\) मिलता है। हर गुणन को अलग से करें। / Expanding gives \(12x^2-15x-10x^2-2x=2x^2-17x\). Do each multiplication separately.
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Which option gives the correct sum of \(4x^2\) and \(-11x^2\)?
C. \(-7x^2\)
गुणांक (4+(-11)=-7) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(-7x^2\) है। / The coefficients are (4+(-11)=-7), and the variable part \(x^2\) remains the same. So the sum is \(-7x^2\).
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If (x=6), what is the value of \(\frac{x^2-3x+6}{3}\)?
B. (8)
मान रखने पर \(\frac{36-18+6}{3}=\frac{24}{3}=8\) मिलता है। पूरा अंश पहले सरल करें। / Substitution gives \(\frac{36-18+6}{3}=\frac{24}{3}=8\). Simplify the whole numerator first.
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What is the simplified form of (12-(4x-7)+3(x-5))?
B. (-x+4)
खोलने पर (12-4x+7+3x-15=-x+4) मिलता है। कोष्ठक से पहले ऋण हो तो चिह्न बदलें। / Expanding gives (12-4x+7+3x-15=-x+4). Change signs if a minus is before a bracket.
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The sides of a triangle are (3x+2), (2x-7), and (x+9). What is the expression for its perimeter?
C. (6x+4)
परिमाप सभी भुजाओं का योग है। ((3x+2)+(2x-7)+(x+9)=6x+4)। / Perimeter is the sum of all sides. ((3x+2)+(2x-7)+(x+9)=6x+4).
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What is the simplified form of (6p-[3p-{4p-(p+6)}])?
B. (6p-6)
अंदर (4p-(p+6)=3p-6), फिर (3p-(3p-6)=6), इसलिए (6p-6)। अंदर से बाहर की ओर सरल करें। / Inside (4p-(p+6)=3p-6), then (3p-(3p-6)=6), so (6p-6). Simplify from inside to outside.
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If (u=2) and (v=-5), what is the value of \(u^2v+uv^2-3u\)?
B. (24)
मान रखने पर (4(-5)+2(25)-6=24) मिलता है। \(v^2\) धनात्मक होगा। / Substitution gives (4(-5)+2(25)-6=24). \(v^2\) will be positive.
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Which expression represents the square of the number (6) more than (y)?
C. ((y+6)2)
(6) अधिक संख्या (y+6) है। पूरे योग के वर्ग के लिए ((y+6)2) लिखते हैं। / The number (6) more than (y) is (y+6). To square the whole sum, write ((y+6)2).
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What is the simplified form of \(8x^2-7xy+4xy-5x^2\)?
A. \(3x^2-3xy\)
\(8x^2-5x^2=3x^2\) और (-7xy+4xy=-3xy)। \(x^2\) और (xy) अलग चर भाग हैं। / \(8x^2-5x^2=3x^2\) and (-7xy+4xy=-3xy). \(x^2\) and (xy) are different variable parts.
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If (m-n=9), what is the value of (2m-2n+11)?
C. (29)
(2m-2n+11=2(m-n)+11=18+11=29)। समान गुणांक दिखे तो सामान्य गुणक निकालें। / (2m-2n+11=2(m-n)+11=18+11=29). If the same coefficient appears, take the common factor.
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What is the simplified form of (4(3x-2y)-3(x-4y)+5y)?
A. (9x+9y)
खोलने पर (12x-8y-3x+12y+5y=9x+9y) मिलता है। समान चर वाले पद जोड़ें। / Expanding gives (12x-8y-3x+12y+5y=9x+9y). Combine terms with the same variable.
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Which option gives the correct sum of \(2x^2+5x-6\) and \(3x^2-7x+10\)?
C. \(5x^2-2x+4\)
योग में \(2x^2+3x^2=5x^2\), (5x-7x=-2x), और (-6+10=4) है। समान पद अलग-अलग जोड़ें। / In the sum, \(2x^2+3x^2=5x^2\), (5x-7x=-2x), and (-6+10=4). Add like terms separately.
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If (x=0), what is the value of \(-4x^3+9x^2-5x+13\)?
C. (13)
(x=0) रखने पर सभी चर वाले पद (0) हो जाते हैं। इसलिए मान (13) है। / Putting (x=0) makes all variable terms (0). Therefore the value is (13).
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What is the simplified form of (5a-2[3a-4(a-2)])?
A. (7a-16)
अंदर (3a-4a+8=-a+8), इसलिए (5a-2(-a+8)=7a-16)। अंदर का भाग पहले सरल करें। / Inside (3a-4a+8=-a+8), so (5a-2(-a+8)=7a-16). Simplify the inside part first.
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If (s=2) and (t=-1), what is the value of \(s^3t-st^3+2t\)?
A. (-8)
मान रखने पर (8(-1)-2(-1)-2=-8) मिलता है। ऋणात्मक मान की विषम घात ऋणात्मक रहती है। / Substitution gives (8(-1)-2(-1)-2=-8). An odd power of a negative value remains negative.
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Which option gives the correct simplified form of (6(x-2)-[4x-{3x+1}])?
A. (5x-13)
अंदर (4x-(3x+1)=x-1), इसलिए (6x-12-(x-1)=5x-11) नहीं बल्कि (5x-11) है। गणना में अंतिम नियतांक ध्यान से जोड़ें। / Inside (4x-(3x+1)=x-1), so (6x-12-(x-1)=5x-11). Add the final constants carefully.
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Which is the correct simplified form of (6(x-2)-[4x-{3x+1}])?
B. (5x-11)
अंदर (4x-{3x+1}=x-1) है। इसलिए (6x-12-(x-1)=5x-11)। / Inside (4x-{3x+1}=x-1). Therefore (6x-12-(x-1)=5x-11).
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What is the expression for the sum of the number (7) less than (x) and the number (4) more than (x)?
A. (2x-3)
दो संख्याएं (x-7) और (x+4) हैं। उनका योग (2x-3) है। / The two numbers are (x-7) and (x+4). Their sum is (2x-3).
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What is the simplified form of \(\frac{7x}{10}-\frac{x}{5}\)?
A. \(\frac{x}{2}\)
\(\frac{x}{5}=\frac{2x}{10}\), इसलिए \(\frac{7x}{10}-\frac{2x}{10}=\frac{x}{2}\)। भिन्न पदों में समान हर बनाएं। / \(\frac{x}{5}=\frac{2x}{10}\), so \(\frac{7x}{10}-\frac{2x}{10}=\frac{x}{2}\). Make a common denominator for fraction terms.
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If (x+y=8) and (x-y=2), what is the value of (4(x+y)-5(x-y))?
A. (22)
दिए गए मान रखने पर (4(8)-5(2)=22) मिलता है। पूरे कोष्ठक को एक मान की तरह उपयोग करें। / Using the given values gives (4(8)-5(2)=22). Use the whole bracket as one value.
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What is the simplified form of \(5x^2-6xy+3y^2-2x^2+11xy-8y^2\)?
A. \(3x^2+5xy-5y^2\)
\(x^2\), (xy), और \(y^2\) पदों को अलग जोड़ने पर \(3x^2+5xy-5y^2\) मिलता है। अलग चर भागों को न मिलाएं। / Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy-5y^2\). Do not mix different variable parts.
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What is the simplified form of (15-[4x-3(2-x)])?
B. (21-7x)
अंदर (4x-6+3x=7x-6), इसलिए (15-(7x-6)=21-7x)। बाहर का ऋण चिह्न पूरे कोष्ठक पर लागू करें। / Inside (4x-6+3x=7x-6), so (15-(7x-6)=21-7x). Apply the outside minus sign to the whole bracket.
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If (t=3), what is the value of \(2t^4-5t^3+t^2\)?
C. (36)
मान रखने पर (2(81)-5(27)+9=36) मिलता है। बड़ी घातों का मान पहले निकालें। / Substitution gives (2(81)-5(27)+9=36). Evaluate higher powers first.
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Which expression subtracts the difference of (a) and (b) from (5) times their sum?
C. (5(a+b)-(a-b))
योग (a+b) है और उसका (5) गुना (5(a+b)) है। इसमें से अंतर (a-b) घटाने पर (5(a+b)-(a-b)) बनता है। / The sum is (a+b), and five times it is (5(a+b)). Subtracting the difference (a-b) gives (5(a+b)-(a-b)).
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What is the simplified form of ((3x-4)+(2x+9)-(5x-7))?
A. (12)
कोष्ठक हटाने पर (3x-4+2x+9-5x+7=12) मिलता है। (x) वाले पद कट जाते हैं। / Removing brackets gives (3x-4+2x+9-5x+7=12). The (x)-terms cancel out.
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If (p=-1), what is the value of \(2p^4-3p^3+4p^2-5\)?
B. (4)
मान रखने पर (2+3+4-5=4) मिलता है। (-1) की सम घात (1) और विषम घात (-1) होती है। / Substitution gives (2+3+4-5=4). Even powers of (-1) are (1), and odd powers are (-1).
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Which option gives the correct result of subtracting (2x+8y) from (6x-3y)?
A. (4x-11y)
((6x-3y)-(2x+8y)=6x-3y-2x-8y=4x-11y)। घटाते समय दूसरे व्यंजक के सभी चिह्न बदलें। / ((6x-3y)-(2x+8y)=6x-3y-2x-8y=4x-11y). Change all signs of the second expression while subtracting.
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What is the simplified form of \(4x^2y-9xy^2+5x^2y+6xy^2\)?
A. \(9x^2y-3xy^2\)
\(4x^2y+5x^2y=9x^2y\) और \(-9xy^2+6xy^2=-3xy^2\)। घातें समान हों तभी पद समान होते हैं। / \(4x^2y+5x^2y=9x^2y\) and \(-9xy^2+6xy^2=-3xy^2\). Terms are like only when powers match.
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If (q=4), what is the value of \(\frac{q^3-2q}{4}\)?
B. (14)
(q=4) रखने पर \(\frac{64-8}{4}=14\) मिलता है। अंश को पहले पूरा सरल करें। / Putting (q=4) gives \(\frac{64-8}{4}=14\). Simplify the numerator completely first.
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What is the sum of four consecutive odd numbers starting from (n)?
B. (4n+12)
चार विषम संख्याएं (n), (n+2), (n+4), और (n+6) होंगी। उनका योग (4n+12) है। / The four odd numbers are (n), (n+2), (n+4), and (n+6). Their sum is (4n+12).
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What is the simplified form of (3(4x-5)-[2x-3(1-x)])?
A. (7x-12)
अंदर (2x-3+3x=5x-3), इसलिए (12x-15-(5x-3)=7x-12)। वर्ग कोष्ठक के अंदर पहले सरल करें। / Inside (2x-3+3x=5x-3), so (12x-15-(5x-3)=7x-12). Simplify inside the square bracket first.
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If (x=1) and (y=3), what is the value of (3(x+y)2-4xy)?
A. (36)
मान रखने पर (3(4)2-4(1)(3)=48-12=36) मिलता है। कोष्ठक और वर्ग पहले निकालें। / Substitution gives (3(4)2-4(1)(3)=48-12=36). Evaluate brackets and squares first.
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Which option gives the correct simplified form of (4a-5b+9a-2b-6a)?
A. (7a-7b)
(4a+9a-6a=7a) और (-5b-2b=-7b)। समान चर वाले पद ही जोड़ें। / (4a+9a-6a=7a) and (-5b-2b=-7b). Combine only terms with the same variable.
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A rectangle has length (4x-7) and breadth (3x+2). What is the expression for its perimeter?
A. (14x-10)
परिमाप (2[(4x-7)+(3x+2)]=2(7x-5)=14x-10) है। पहले लंबाई और चौड़ाई जोड़ें। / The perimeter is (2[(4x-7)+(3x+2)]=2(7x-5)=14x-10). Add length and breadth first.
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If (x=1), what is the value of \(6x^3-9x^2+4x-8\)?
A. (-7)
(x=1) रखने पर (6-9+4-8=-7) मिलता है। (1) की हर धनात्मक घात (1) होती है। / Putting (x=1) gives (6-9+4-8=-7). Every positive power of (1) is (1).
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What is the simplified form of (7x-3[2x-{x-6}])?
A. (4x-18)
अंदर (2x-(x-6)=x+6), इसलिए (7x-3(x+6)=4x-18)। अंदरूनी कोष्ठक पहले हटाएं। / Inside (2x-(x-6)=x+6), so (7x-3(x+6)=4x-18). Remove inner brackets first.
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Which option gives the correct result of subtracting \(2x^2-7x-6\) from \(5x^2-3x+8\)?
A. \(3x^2+4x+14\)
(\(5x^2-3x+8\)-\(2x^2-7x-6\)=3x-2+4x+14)। घटाते समय दूसरे व्यंजक के सभी चिह्न बदलें। / (\(5x^2-3x+8\)-\(2x^2-7x-6\)=3x-2+4x+14). Change all signs of the second expression while subtracting.
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If (x=2), what is the value of (x(x+5)-3(x-1))?
A. (11)
मान रखने पर (2(7)-3(1)=11) मिलता है। पहले कोष्ठक का मान निकालें। / Substitution gives (2(7)-3(1)=11). Evaluate the brackets first.
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What is the simplified form of (2(5x-3)-4[2x-{x-2}])?
B. (6x-14)
अंदर (2x-(x-2)=x+2), इसलिए (10x-6-4(x+2)=6x-14)। कोष्ठकों को अंदर से बाहर हल करें। / Inside (2x-(x-2)=x+2), so (10x-6-4(x+2)=6x-14). Solve brackets from inside to outside.
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