Level 23 • 50/50 questions • 30 seconds per question.
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What is the simplified form of (3(2x-5)-2(x+4))?
A. (4x-23)
कोष्ठक खोलने पर (6x-15-2x-8=4x-23) मिलता है। ऋण चिह्न को पूरे कोष्ठक पर लगाएं। / Expanding gives (6x-15-2x-8=4x-23). Apply the negative sign to the whole bracket.
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If (a=-2), what is the value of \(4a^2-3a-5\)?
B. (17)
(a=-2) रखने पर (4(4)+6-5=17) मिलता है। ऋणात्मक मान का वर्ग धनात्मक होता है। / Putting (a=-2) gives (4(4)+6-5=17). The square of a negative value is positive.
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What is the simplified form of \(5p^2-3p+7-2p^2+8p-4\)?
C. \(3p^2+5p+3\)
समान पद जोड़ने पर \(5p^2-2p^2=3p^2\), (-3p+8p=5p) और (7-4=3) मिलता है। पदों को घात के अनुसार समूहित करें। / Combining like terms gives \(5p^2-2p^2=3p^2\), (-3p+8p=5p) and (7-4=3). Group terms by powers.
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Which option gives the correct form of the difference (2x+3-(5x-9))?
C. (-3x+12)
घटाए गए व्यंजक के चिह्न बदलने पर (2x+3-5x+9=-3x+12) मिलता है। कोष्ठक हटाते समय चिह्न ध्यान से बदलें। / Changing signs of the subtracted expression gives (2x+3-5x+9=-3x+12). Change signs carefully while removing brackets.
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If (x=3) and (y=-1), what is the value of \(2x^2-xy+4y\)?
A. (17)
मान रखने पर (2(9)-3(-1)+4(-1)=17) मिलता है। दो चर वाले प्रश्न में चिह्न अलग से जांचें। / Substitution gives (2(9)-3(-1)+4(-1)=17). In two-variable questions, check signs separately.
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Which expression represents the sum of three consecutive even numbers starting from (n)?
B. (3n+6)
तीन लगातार सम संख्याएं (n), (n+2), और (n+4) होंगी। उनका योग (3n+6) है। / The three consecutive even numbers are (n), (n+2), and (n+4). Their sum is (3n+6).
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What is the simplified form of (7m-2(3m-4)+5(m-1))?
A. (6m+3)
खोलने पर (7m-6m+8+5m-5=6m+3) मिलता है। पहले सभी कोष्ठक खोलें फिर समान पद जोड़ें। / Expanding gives (7m-6m+8+5m-5=6m+3). Open all brackets first and then combine like terms.
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If (r=4), what is the value of \(\frac{3r^2-2r}{2}\)?
C. (20)
(r=4) रखने पर (\frac{3(16)-8}{2}=\frac{40}{2}=20) मिलता है। भिन्न में पूरा अंश पहले सरल करें। / Putting (r=4) gives (\frac{3(16)-8}{2}=\frac{40}{2}=20). Simplify the whole numerator first in a fraction.
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Which option gives the correct simplified form of \(4a^2b-7ab^2+3a^2b+2ab^2\)?
A. \(7a^2b-5ab^2\)
\(4a^2b+3a^2b=7a^2b\) और \(-7ab^2+2ab^2=-5ab^2\)। अलग चर भागों को अलग रखें। / \(4a^2b+3a^2b=7a^2b\) and \(-7ab^2+2ab^2=-5ab^2\). Keep different variable parts separate.
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In which expression is the coefficient of (x) equal to (0) but the \(x^2\) term is present?
B. \(x^2-7\)
\(x^2-7\) में प्रथम घात वाला (x) पद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / In \(x^2-7\), there is no first-power (x) term. So the coefficient of (x) is taken as (0).
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What is the simplified form of (2(x-y)-3(y-x))?
A. (5x-5y)
खोलने पर (2x-2y-3y+3x=5x-5y) मिलता है। (y-x) पर ऋण गुणन करते समय सावधान रहें। / Expanding gives (2x-2y-3y+3x=5x-5y). Be careful while multiplying (y-x) by a negative number.
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If (u=-3) and (v=2), what is the value of \(u^2-2uv+v^2\)?
C. (25)
मान रखने पर (9-2(-6)+4=25) मिलता है। (uv) का चिह्न पहले निकालें। / Substitution gives (9-2(-6)+4=25). Find the sign of (uv) first.
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The length of a rectangle is (2x+3) and its breadth is (x-5). What is its perimeter?
B. (6x-4)
परिमाप (2[(2x+3)+(x-5)]=2(3x-2)=6x-4) है। पहले लंबाई और चौड़ाई जोड़ें। / The perimeter is (2[(2x+3)+(x-5)]=2(3x-2)=6x-4). Add length and breadth first.
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Which option gives the correct sum of \(-5x^2\) and \(8x^2\)?
D. \(3x^2\)
गुणांक (-5+8=3) हैं और चर भाग \(x^2\) वही रहता है। इसलिए योग \(3x^2\) है। / The coefficients are (-5+8=3) and the variable part \(x^2\) remains the same. So the sum is \(3x^2\).
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What is the simplified form of (4(2a-3b)-3(a-2b))?
A. (5a-6b)
खोलने पर (8a-12b-3a+6b=5a-6b) मिलता है। समान चर वाले पदों को ही जोड़ें। / Expanding gives (8a-12b-3a+6b=5a-6b). Combine only terms with the same variable.
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If (x=1), what is the value of \(5x^3-4x^2+3x-2\)?
B. (2)
(x=1) रखने पर (5-4+3-2=2) मिलता है। (1) की हर धनात्मक घात (1) होती है। / Putting (x=1) gives (5-4+3-2=2). Every positive power of (1) is (1).
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Which expression represents subtracting (xy) from the square of the sum of (x) and (y)?
A. ((x+y)2-xy)
पहले योग (x+y) का वर्ग बनता है और फिर (xy) घटता है। पूरे योग के वर्ग के लिए कोष्ठक जरूरी है। / First the square of the sum (x+y) is formed and then (xy) is subtracted. Brackets are necessary for the square of the whole sum.
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What is the simplified form of (3x-[2x-(x-5)])?
A. (2x-5)
अंदर से सरल करें (2x-(x-5)=x+5), फिर (3x-(x+5)=2x-5)। अंदरूनी कोष्ठक पहले हटाएं। / Simplify inside first (2x-(x-5)=x+5), then (3x-(x+5)=2x-5). Remove inner brackets first.
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If (t=-1), what is the value of \(2t^3-3t^2+4t+6\)?
A. (-3)
मान रखने पर (-2-3-4+6=-3) मिलता है। ऋणात्मक संख्या की विषम घात ऋणात्मक रहती है। / Substitution gives (-2-3-4+6=-3). An odd power of a negative number remains negative.
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What is the simplified form of (9x-2[3x+4(1-x)])?
A. (11x-8)
अंदर (3x+4-4x=4-x), इसलिए (9x-2(4-x)=11x-8)। पहले वर्ग कोष्ठक के अंदर का भाग सरल करें। / Inside, (3x+4-4x=4-x), so (9x-2(4-x)=11x-8). Simplify the expression inside square brackets first.
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If (a+b=7) and (ab=10), what is the value of (2(a+b)-ab)?
B. (4)
दिए गए मान रखने पर (2(7)-10=4) मिलता है। पूरे (a+b) को एक साथ मानें। / Putting the given values gives (2(7)-10=4). Treat the whole (a+b) together.
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Which option gives the correct sum of (2x-3y) and (-5x+7y)?
A. (-3x+4y)
योग ((2x-3y)+(-5x+7y)=-3x+4y) है। (x) और (y) पदों को अलग-अलग जोड़ें। / The sum is ((2x-3y)+(-5x+7y)=-3x+4y). Add (x) and (y) terms separately.
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If (x=2) and (y=3), what is the value of ((x+y)2-xy)?
C. (19)
((2+3)2-2(3)=25-6=19)। पहले कोष्ठक का मान निकालें। / ((2+3)2-2(3)=25-6=19). Evaluate the bracket first.
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In which expression is the coefficient of \(x^2\) equal to (-6)?
C. \(-6x^2+5x-1\)
\(-6x^2+5x-1\) में \(x^2\) के साथ (-6) जुड़ा है। गुणांक का चिह्न साथ में पढ़ें। / In \(-6x^2+5x-1\), (-6) is attached to \(x^2\). Read the sign with the coefficient.
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What is the simplified form of \(\frac{3x}{4}+\frac{x}{2}\)?
B. \(\frac{5x}{4}\)
\(\frac{x}{2}\) को \(\frac{2x}{4}\) लिखें, तब योग \(\frac{5x}{4}\) होगा। भिन्न पदों में समान हर बनाएं। / Write \(\frac{x}{2}\) as \(\frac{2x}{4}\), then the sum is \(\frac{5x}{4}\). Make common denominators for fraction terms.
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If (k) is a number, which expression represents the square of the number (3) more than it?
D. ((k+3)2)
(3) अधिक संख्या (k+3) है। उसके वर्ग के लिए ((k+3)2) लिखेंगे। / The number (3) more than it is (k+3). For its square, we write ((k+3)2).
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What is the simplified form of (4x-(2x-3)+5(1-x))?
A. (-3x+8)
खोलने पर (4x-2x+3+5-5x=-3x+8) मिलता है। कोष्ठक के बाद समान पदों को जोड़ें। / Expanding gives (4x-2x+3+5-5x=-3x+8). Combine like terms after removing brackets.
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If (x+y=6), what is the value of (3x+3y-4)?
B. (14)
(3x+3y-4=3(x+y)-4=18-4=14)। समान गुणांक हो तो सामान्य गुणक बाहर लें। / (3x+3y-4=3(x+y)-4=18-4=14). When coefficients are the same, take the common factor out.
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Which option gives the correct simplified form of (6xy-2x+3xy+5x)?
A. (9xy+3x)
(6xy+3xy=9xy) और (-2x+5x=3x)। (xy) और (x) असमान पद हैं। / (6xy+3xy=9xy) and (-2x+5x=3x). (xy) and (x) are unlike terms.
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What is the simplified form of (2a-[3b-{a-2b}])?
B. (3a-b)
अंदर (3b-(a-2b)=5b-a), फिर (2a-(5b-a)=3a-5b) नहीं बल्कि (3a-5b) है। सही उत्तर (3a-5b) होना चाहिए। / Inside, (3b-(a-2b)=5b-a), then (2a-(5b-a)=3a-5b). The correct result is (3a-5b).
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What is the simplified form of (3(2x+1)-4(x-2))?
C. (2x+11)
कोष्ठक खोलने पर (6x+3-4x+8=2x+11) मिलता है। चिह्नों को पदों के साथ रखें। / Expanding gives (6x+3-4x+8=2x+11). Keep signs with the terms.
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What is obtained by subtracting (3a+4b) from (5a-2b)?
A. (2a-6b)
((5a-2b)-(3a+4b)=5a-2b-3a-4b=2a-6b)। घटाए गए व्यंजक के दोनों चिह्न बदलें। / ((5a-2b)-(3a+4b)=5a-2b-3a-4b=2a-6b). Change both signs of the subtracted expression.
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If (x=-2), what is the value of \(x^3-2x^2+5\)?
D. (-11)
(x=-2) रखने पर (-8-8+5=-11) मिलता है। ऋणात्मक संख्या की घात ध्यान से निकालें। / Putting (x=-2) gives (-8-8+5=-11). Evaluate powers of negative numbers carefully.
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What is the simplified form of (2(3p-q)+3(p+2q))?
B. (9p+4q)
खोलने पर (6p-2q+3p+6q=9p+4q) मिलता है। (p) और (q) पदों को अलग जोड़ें। / Expanding gives (6p-2q+3p+6q=9p+4q). Combine (p) and (q) terms separately.
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Which expression represents subtracting the sum of the square of (t) and (2t) from (9)?
C. (9-\(t^2+2t\))
घटाया जाने वाला पूरा योग \(t^2+2t\) है। इसलिए उसे कोष्ठक में रखकर (9-\(t^2+2t\)) लिखते हैं। / The whole sum being subtracted is \(t^2+2t\). So it is written in brackets as (9-\(t^2+2t\)).
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What is the simplified form of \(\frac{2x}{3}+\frac{x}{6}\)?
B. \(\frac{5x}{6}\)
\(\frac{2x}{3}=\frac{4x}{6}\), इसलिए योग \(\frac{5x}{6}\) है। भिन्न पदों में समान हर बनाएं। / \(\frac{2x}{3}=\frac{4x}{6}\), so the sum is \(\frac{5x}{6}\). Make a common denominator for fraction terms.
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If (m+n=8) and (m-n=2), what is the value of (3(m+n)-2(m-n))?
A. (20)
दिए गए मान रखने पर (3(8)-2(2)=20) मिलता है। पूरे कोष्ठक को एक मान की तरह लें। / Using the given values gives (3(8)-2(2)=20). Treat each bracket as one value.
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Which option gives the correct sum of \(2x^2-3x+1\) and \(x^2+5x-4\)?
C. \(3x^2+2x-3\)
समान पद जोड़ने पर \(3x^2+2x-3\) मिलता है। घात के अनुसार पदों को समूहित करें। / Combining like terms gives \(3x^2+2x-3\). Group the terms according to powers.
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What is the simplified form of (6x-[2x+{3-x}])?
A. (5x-3)
अंदर (2x+3-x=x+3) है, इसलिए (6x-(x+3)=5x-3)। अंदरूनी कोष्ठक पहले सरल करें। / Inside, (2x+3-x=x+3), so (6x-(x+3)=5x-3). Simplify the inner bracket first.
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If (a=2) and (b=-3), what is the value of \(a^2b-ab^2\)?
A. (-30)
मान रखने पर (4(-3)-2(9)=-12-18=-30) मिलता है। \(b^2\) धनात्मक होगा। / Substitution gives (4(-3)-2(9)=-12-18=-30). \(b^2\) will be positive.
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The sides of a triangle are (x+2), (2x-1), and (3x+4). What is the expression for its perimeter?
B. (6x+5)
परिमाप सभी भुजाओं का योग है। ((x+2)+(2x-1)+(3x+4)=6x+5)। / Perimeter is the sum of all sides. ((x+2)+(2x-1)+(3x+4)=6x+5).
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What is the simplified form of (-3(2y-5)+4(y+1))?
A. (-2y+19)
खोलने पर (-6y+15+4y+4=-2y+19) मिलता है। ऋणात्मक गुणक से कोष्ठक खोलते समय सावधानी रखें। / Expanding gives (-6y+15+4y+4=-2y+19). Be careful when expanding with a negative multiplier.
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Which option gives the correct simplified form of (7ab-3a+2ab+5a)?
A. (9ab+2a)
(7ab+2ab=9ab) और (-3a+5a=2a)। (ab) और (a) को समान पद नहीं मानें। / (7ab+2ab=9ab) and (-3a+5a=2a). Do not treat (ab) and (a) as like terms.
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If (x=4), what is the value of \(\frac{x^2-2x}{4}\)?
B. (2)
(x=4) रखने पर \(\frac{16-8}{4}=2\) मिलता है। अंश को पूरा सरल करके भाग दें। / Putting (x=4) gives \(\frac{16-8}{4}=2\). Simplify the whole numerator before dividing.
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What is the simplified form of (2x(3x+1)-x(4x-5))?
A. \(2x^2+7x\)
खोलने पर \(6x^2+2x-4x^2+5x=2x^2+7x\) मिलता है। हर कोष्ठक को अलग से खोलें। / Expanding gives \(6x^2+2x-4x^2+5x=2x^2+7x\). Expand each bracket separately.
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Which expression represents adding (5) to twice the difference of (x) and (2)?
B. (2(x-2)+5)
पहले अंतर (x-2) है, उसका दोगुना (2(x-2)) है। फिर (5) जोड़ने पर (2(x-2)+5) मिलता है। / First the difference is (x-2), and twice it is (2(x-2)). Adding (5) gives (2(x-2)+5).
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If (x-y=5), what is the value of (4x-4y+3)?
C. (23)
(4x-4y+3=4(x-y)+3=4(5)+3=23)। समान गुणांक दिखे तो सामान्य गुणक बाहर लें। / (4x-4y+3=4(x-y)+3=4(5)+3=23). If the same coefficient appears, take it common.
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What is the simplified form of (8-(3x-2)+2(x-5))?
A. (-x)
खोलने पर (8-3x+2+2x-10=-x) मिलता है। नियतांक पद भी साथ-साथ सरल करें। / Expanding gives (8-3x+2+2x-10=-x). Simplify constant terms together too.
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Which option gives the correct simplified form of \(2a^2-3ab+4b^2-a^2+5ab-b^2\)?
A. \(a^2+2ab+3b^2\)
\(2a^2-a^2=a^2\), (-3ab+5ab=2ab), और \(4b^2-b^2=3b^2\)। समान चर भागों को ही जोड़ें। / \(2a^2-a^2=a^2\), (-3ab+5ab=2ab), and \(4b^2-b^2=3b^2\). Combine only matching variable parts.
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If (z=-2), what is the value of \(z^4+z^3-z\)?
C. (10)
(z=-2) रखने पर (16-8+2=10) मिलता है। सम और विषम घातों के चिह्न अलग होते हैं। / Putting (z=-2) gives (16-8+2=10). Even and odd powers have different sign behavior.
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