Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10901	Solve for x	2x-3y=12	$2 x - 3 y = 12$
10902	Write in Standard Form	(9a^2+8ab-7b^2)+(6a^2-5ab-4b^2)	$(9 a^{2} + 8 a b - 7 b^{2}) + (6 a^{2} - 5 a b - 4 b^{2})$
10903	Write in Standard Form	(-2y^3+5yz+z^2)+(-2y^3-6yz+5)	$(- 2 y^{3} + 5 y z + z^{2}) + (- 2 y^{3} - 6 y z + 5)$
10904	Graph	x>=4	$x \geq 4$
10905	Write in Standard Form	(y^2-9)(y^2-4)	$(y^{2} - 9) (y^{2} - 4)$
10906	Find the Degree	6x^5-4x^2+2x^3-3+x	$6 x^{5} - 4 x^{2} + 2 x^{3} - 3 + x$
10907	Solve for x	y=ax^2+bx+c	$y = a x^{2} + b x + c$
10908	Convert to Radical Form	1/(y^(5/4))	$\frac{1}{y^{\frac{5}{4}}}$
10909	Solve for y	3x+8y=24	$3 x + 8 y = 24$
10910	Find the Roots (Zeros)	f(x)=(x+3)(2x-1)(x+2)	$f (x) = (x + 3) (2 x - 1) (x + 2)$
10911	Solve for y	3(y+6)=30	$3 (y + 6) = 30$
10912	Add	(z^2-z+12)+(z^3+z^2-12z)	$(z^{2} - z + 12) + (z^{3} + z^{2} - 12 z)$
10913	Solve for n	square root of n+5- square root of n-10=1	$\sqrt{n + 5} - \sqrt{n - 10} = 1$
10914	Simplify	(3x+8)(2x+6)	$(3 x + 8) (2 x + 6)$
10915	Simplify	(5x+6)(5x-6)	$(5 x + 6) (5 x - 6)$
10916	Reduce the Fraction	2/15	$\frac{2}{15}$
10917	Simplify	(2+9i)(2-9i)	$(2 + 9 i) (2 - 9 i)$
10918	Find the Domain	( square root of 7x^2)÷( square root of 3x)	$\sqrt{7 x^{2}} \div \sqrt{3 x}$
10919	Find the x and y Intercepts	f(x)=5^(x-5)-1	$f (x) = 5^{x - 5} - 1$
10920	Solve for x	x^2+5x-6=0	$x^{2} + 5 x - 6 = 0$
10921	Convert to Interval Notation	x/4-1/20<=x/5+1	$\frac{x}{4} - \frac{1}{20} \leq \frac{x}{5} + 1$
10922	Find the Slope	y-7=8(x-14)	$y - 7 = 8 (x - 14)$
10923	Find the Slope	12x-8y+7=9	$12 x - 8 y + 7 = 9$
10924	Find the Axis of Symmetry	y=3x^2-7x+2	$y = 3 x^{2} - 7 x + 2$
10925	Simplify	(-h^4)^5	${(- h^{4})}^{5}$
10926	Solve Using the Quadratic Formula	3x^2-x-44=0	$3 x^{2} - x - 44 = 0$
10927	Simplify	(fg)(x)	$(f g) (x)$
10928	Solve Using the Quadratic Formula	2x^2-9x+6=0	$2 x^{2} - 9 x + 6 = 0$
10929	Simplify	7/(a+8)+7/(a^2-64)	$\frac{7}{a + 8} + \frac{7}{a^{2} - 64}$
10930	Find the Asymptotes	f(x)=(x^2-1)/(x^2+4x-5)	$f (x) = \frac{x^{2} - 1}{x^{2} + 4 x - 5}$
10931	Simplify	(4x^3)^-2	${(4 x^{3})}^{- 2}$
10932	Divide Using Synthetic Division	(x^4-x^3-38x^2-31x+45)÷(x+5)	$(x^{4} - x^{3} - 38 x^{2} - 31 x + 45) \div (x + 5)$
10933	Simplify	i^91	$i^{91}$
10934	Simplify	(6-8i)^2	${(6 - 8 i)}^{2}$
10935	Multiply	(3x^2+5x+9)(6x-8)	$(3 x^{2} + 5 x + 9) (6 x - 8)$
10936	Multiply	a/7*b/2	$\frac{a}{7} \cdot \frac{b}{2}$
10937	Simplify	(4a)^2	${(4 a)}^{2}$
10938	Multiply	12*3.14	$12 \cdot 3.14$
10939	Find Where Undefined/Discontinuous	y=(10-5x)/(x^2-7x+10)	$y = \frac{10 - 5 x}{x^{2} - 7 x + 10}$
10940	Simplify	(x^4)/x	$\frac{x^{4}}{x}$
10941	Convert to an Improper Fraction	3 2/5	$3 \frac{2}{5}$
10942	Simplify	x^2-2x	$x^{2} - 2 x$
10943	Find the GCF	48x^6+6x^2-26x^3	$48 x^{6} + 6 x^{2} - 26 x^{3}$
10944	Simplify	x^(1/9)	$x^{\frac{1}{9}}$
10945	Find the GCF	33x^3+18x^6	$33 x^{3} + 18 x^{6}$
10946	Find the Maximum/Minimum Value	y=x^2-8x-16	$y = x^{2} - 8 x - 16$
10947	Simplify	16x^2	$16 x^{2}$
10948	Subtract	3/a-5/a	$\frac{3}{a} - \frac{5}{a}$
10949	Solve for x	x^2-6x+8>0	$x^{2} - 6 x + 8 > 0$
10950	Subtract	(4y)/(y^2-10y+21)-1/(y-7)	$\frac{4 y}{y^{2} - 10 y + 21} - \frac{1}{y - 7}$
10951	Evaluate Using Scientific Notation	(1.8010^2)/(9.010^-5)	$\frac{1.8 \cdot 10^{2}}{9 \cdot 10^{- 5}}$
10952	Solve for x	-11x-4>-15	$- 11 x - 4 > - 15$
10953	Evaluate Using Scientific Notation	(8.210^-3)(2.0*10^2)	$(8.2 \cdot 10^{- 3}) \cdot (2 \cdot 10^{2})$
10954	Solve for x	x>6	$x > 6$
10955	Convert to Logarithmic Form	81^(3/4)=27	$81^{\frac{3}{4}} = 27$
10956	Find the Roots (Zeros)	x^4-2x^3+14x^2-18x+45=0	$x^{4} - 2 x^{3} + 14 x^{2} - 18 x + 45 = 0$
10957	Simplify	5i+7i*i	$5 i + 7 i \cdot i$
10958	Find the Roots (Zeros)	12x^2-64=-x^4	$12 x^{2} - 64 = - x^{4}$
10959	Simplify	-4x^0	$- 4 x^{0}$
10960	Simplify	square root of 168	$\sqrt{168}$
10961	Solve by Completing the Square	x^2+10x=26	$x^{2} + 10 x = 26$
10962	Write in Standard Form	y=1/6x+7	$y = \frac{1}{6} x + 7$
10963	Write in Standard Form	-x^2+4=(3x-1)^2	$- x^{2} + 4 = {(3 x - 1)}^{2}$
10964	Find the Domain and Range	f(x)=4^x-8	$f (x) = 4^{x} - 8$
10965	Subtract	11 square root of 45-4 square root of 5	$11 \sqrt{45} - 4 \sqrt{5}$
10966	Solve for y	y>5	$y > 5$
10967	Multiply	(x+8)(x-8)	$(x + 8) (x - 8)$
10968	Add	(-5a^3-2a^2)+(6a^3+9a^2+8a)	$(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a)$
10969	Add	(6y)/((7y-2)(y-9))+(2y^2)/((y-9)(3y+5))	$\frac{6 y}{(7 y - 2) (y - 9)} + \frac{2 y^{2}}{(y - 9) (3 y + 5)}$
10970	Find the Perfect Square Trinomial	x^2-10x+n	$x^{2} - 10 x + n$
10971	Simplify	((25x^2-y^2)/(xy))/(5/y-1/x)	$\frac{\frac{25 x^{2} - y^{2}}{x y}}{\frac{5}{y} - \frac{1}{x}}$
10972	Convert to a Decimal	78%	$78 %$
10973	Simplify	( cube root of 18y^2)/( cube root of 12y)	$\frac{\sqrt[3]{18 y^{2}}}{\sqrt[3]{12 y}}$
10974	Simplify	square root of 25x^3	$\sqrt{25 x^{3}}$
10975	Find the Inverse	f(x) = log base 9 of x	$f (x) = \log_{9} (x)$
10976	Simplify	square root of 81/x	$\sqrt{\frac{81}{x}}$
10977	Convert to Radical Form	25x^(1/2)	$25 x^{\frac{1}{2}}$
10978	Simplify	square root of 64/x	$\sqrt{\frac{64}{x}}$
10979	Find the x and y Intercepts	y=-4x^2-x+3	$y = - 4 x^{2} - x + 3$
10980	Simplify	square root of 320x^6y^15	$\sqrt{320 x^{6} y^{15}}$
10981	Find the x and y Intercepts	x^2+y^2-4x-8y-16=0	$x^{2} + y^{2} - 4 x - 8 y - 16 = 0$
10982	Simplify	3/( cube root of 4x^2)	$\frac{3}{\sqrt[3]{4 x^{2}}}$
10983	Find the x and y Intercepts	-4x+2y=24	$- 4 x + 2 y = 24$
10984	Simplify	1/( square root of 7y)	$\frac{1}{\sqrt{7 y}}$
10985	Find the x and y Intercepts	3y=9x+6	$3 y = 9 x + 6$
10986	Simplify	fourth root of 81x^12	$\sqrt[4]{81 x^{12}}$
10987	Simplify	square root of 49y^2	$\sqrt{49 y^{2}}$
10988	Write in Standard Form	(4b^2+3)(4b^2-3)	$(4 b^{2} + 3) (4 b^{2} - 3)$
10989	Simplify	fifth root of x^4	$\sqrt[5]{x^{4}}$
10990	Combine	3.26d+9.75d-2.65	$3.26 d + 9.75 d - 2.65$
10991	Convert to Regular Notation	9.46*10^12	$9.46 \cdot 10^{12}$
10992	Simplify	square root of 81x^9	$\sqrt{81 x^{9}}$
10993	Convert to Regular Notation	3.14*10^3	$3.14 \cdot 10^{3}$
10994	Simplify	square root of 81x^5	$\sqrt{81 x^{5}}$
10995	Expand Using the Binomial Theorem	(s+4v)^5	${(s + 4 v)}^{5}$
10996	Simplify	square root of 48x^3	$\sqrt{48 x^{3}}$
10997	Simplify	cube root of -16a^3b^8	$\sqrt[3]{- 16 a^{3} b^{8}}$
10998	Find the Vertex	y=x^2-10x+20	$y = x^{2} - 10 x + 20$
10999	Simplify	cube root of y^12	$\sqrt[3]{y^{12}}$
11000	Find the Vertex	y=x^2+6x-11	$y = x^{2} + 6 x - 11$