Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192601	Find the Perpendicular Line	(1,9) and perpendicular to 2x+7y=1	$(1, 9)$ and perpendicular to $2 x + 7 y = 1$
192602	Solve for z	-(3z+4)=6z-3(3z+2)	$- (3 z + 4) = 6 z - 3 (3 z + 2)$
192603	Evaluate	-8(-10)-71/-1	$- 8 \times (- 10) - 7 \times \frac{1}{- 1}$
192604	Solve the Inequality for x	(1/3)^(2x+1)> square root of 27/(3^(x-1))	${(\frac{1}{3})}^{2 x + 1} > \sqrt{\frac{27}{3^{x - 1}}}$
192605	Evaluate	-1/2+(-4)+(-2 2/3)	$- \frac{1}{2} + (- 4) + (- 2 \frac{2}{3})$
192606	Evaluate Using the Given Value	m+p÷5 ; use m=1 ; and p=5	$m + p \div 5$ ; use $m = 1$ ; and $p = 5$
192607	Find the x and y Intercepts	(-4x+17)/(3x)	$\frac{- 4 x + 17}{3 x}$
192608	Evaluate	3^(-1/2)x^(1/2)	$3^{- \frac{1}{2}} x^{\frac{1}{2}}$
192609	Simplify	x+x^2-xy^2-y^2	$x + x^{2} - x y^{2} - y^{2}$
192610	Solve for q	8/q+2=(q+4)/(q-1)	$\frac{8}{q} + 2 = \frac{q + 4}{q - 1}$
192611	Find the Parallel Line	Find the equation of the line through (7,2) which is parallel to the line y=-3x-2	Find the equation of the line through $(7, 2)$ which is parallel to the line $y = - 3 x - 2$
192612	Subtract	(8x^2-3x)-(5x-5-8x^2)	$(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})$
192613	Simplify	6/(y-1)*(5-5y)/10	$\frac{6}{y - 1} \cdot \frac{5 - 5 y}{10}$
192614	Simplify	((-1/2)y^4)^3*(-16y^2)	${((- \frac{1}{2}) y^{4})}^{3} \cdot (- 16 y^{2})$
192615	Simplify	(2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)	$\frac{2 x^{2} - 7 x - 15}{x^{2} - 25} \cdot \frac{x^{2} + x}{2 x^{2} + 5 x + 3}$
192616	Simplify	((2^157^12)/(7(2^2)^47^42))^3	${(\frac{2^{15} \cdot 7^{12}}{7 \cdot {(2^{2})}^{4} \cdot 7^{4} \cdot 2})}^{3}$
192617	Simplify	3/(2 square root of 6)	$\frac{3}{2 \sqrt{6}}$
192618	Evaluate	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
192619	Solve Using the Quadratic Formula	24=x^2-4x+3	$24 = x^{2} - 4 x + 3$
192620	Find the End Behavior	f(x)=147x+686-84x^2+7x^3	$f (x) = 147 x + 686 - 84 x^{2} + 7 x^{3}$
192621	Solve for x	F=kx-kx_0	$F = k x - k x_{0}$
192622	Evaluate	27*((3^3)^-1)	$27 \cdot ({(3^{3})}^{- 1})$
192623	Solve for x	1/3e^(4x)=12	$\frac{1}{3} e^{4 x} = 12$
192624	Find the Holes in the Graph	f(x)=(2x)/(x^2-1)	$f (x) = \frac{2 x}{x^{2} - 1}$
192625	Solve for v	9v^2+25=-30v	$9 v^{2} + 25 = - 30 v$
192626	Solve the Inequality for x	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
192627	Solve for k	2(2k-1)=4(k-2)	$2 (2 k - 1) = 4 (k - 2)$
192628	Find the Distance Between Two Points	(6,-9) and (1,3)	$(6, - 9)$ and $(1, 3)$
192629	Convert to Interval Notation	8y-3(y-2)>2y+4(2y+4)	$8 y - 3 (y - 2) > 2 y + 4 (2 y + 4)$
192630	Divide	((2x^2-9x-5)/(x^2-8x+15))÷((18x+9)/(x^2-9))	$\frac{2 x^{2} - 9 x - 5}{x^{2} - 8 x + 15} \div \frac{18 x + 9}{x^{2} - 9}$
192631	Find the Distance Between Two Points	(-6,0) and (-9,-4)	$(- 6, 0)$ and $(- 9, - 4)$
192632	Simplify	5 square root of 20x^4-3 square root of 45x^4	$5 \sqrt{20 x^{4}} - 3 \sqrt{45 x^{4}}$
192633	Solve for a	(x^4)^(1/3) cube root of x=x^a	${(x^{4})}^{\frac{1}{3}} \sqrt[3]{x} = x^{a}$
192634	Factor	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
192635	Combine Like Terms	7/8x+9/10-2x-3/5	$\frac{7}{8} x + \frac{9}{10} - 2 x - \frac{3}{5}$
192636	Solve for x	56/(x^2-2x-15)-6/(x+3)=7/(x-5)	$\frac{56}{x^{2} - 2 x - 15} - \frac{6}{x + 3} = \frac{7}{x - 5}$
192637	Solve for t	-1t+14=-3t+10	$- 1 t + 14 = - 3 t + 10$
192638	Describe the Transformation	f(x-4)	$f (x - 4)$
192639	Find All Complex Solutions	(tan(theta)+1)(cos(theta)+1)=0	$(\tan (θ) + 1) (\cos (θ) + 1) = 0$
192640	Find the Exact Value	sin(45 degrees )^2+cos(60 degrees )^2	$\sin^{2} (45 °) + \cos^{2} (60 °)$
192641	Solve the Inequality for g	8(3g-2)<=12(2g+1)	$8 (3 g - 2) \leq 12 (2 g + 1)$
192642	Solve the System of Equations	y=5x+5 5y=25x	$y = 5 x + 5$ $5 y = 25 x$
192643	Solve for r	i/r=p	$\frac{i}{r} = p$
192644	Solve the Inequality for y	(3y-4)/0.2-8>12	$\frac{3 y - 4}{0.2} - 8 > 12$
192645	Describe the Transformation	h(x)=-3\|x\|-1	$h (x) = - 3 \| x \| - 1$
192646	Solve for x	log base 4 of x-4=- log base 4 of x-7+1	$\log_{4} (x - 4) = - \log_{4} (x - 7) + 1$
192647	Evaluate the Function	f(x)=(3x^2-5x+1)^3	$f (x) = {(3 x^{2} - 5 x + 1)}^{3}$
192648	Simplify	5/(2x)-(3x)/(x+1)	$\frac{5}{2 x} - \frac{3 x}{x + 1}$
192649	Graph	f(x)=(x^3-2x^2)/(x-2)	$f (x) = \frac{x^{3} - 2 x^{2}}{x - 2}$
192650	Graph	y=tan(x-(2pi)/3)	$y = \tan (x - \frac{2 π}{3})$
192651	Write in Standard Form	3+5d=4d^2	$3 + 5 d = 4 d^{2}$
192652	Simplify	(1/(4p)-3/p)/(1/(4p)+4/p)	$\frac{\frac{1}{4 p} - \frac{3}{p}}{\frac{1}{4 p} + \frac{4}{p}}$
192653	Graph Using a Table of Values	f(x)=-16/(x^2-2x-8)	$f (x) = \frac{- 16}{x^{2} - 2 x - 8}$
192654	Graph	g(x)=5x-7g(x^2+1)	$g (x) = 5 x - 7 g (x^{2} + 1)$
192655	Solve the Inequality for x	5/x<3	$\frac{5}{x} < 3$
192656	Simplify	( cube root of x^2)/( square root of x)	$\frac{\sqrt[3]{x^{2}}}{\sqrt{x}}$
192657	Determine if True	sin(x)^2+cos(x)^2=1	$\sin^{2} (x) + \cos^{2} (x) = 1$
192658	Write in Standard Form	(x)(x)=4	$(x) (x) = 4$
192659	Solve for x	1/(x-4)-4/(x^2-4x)=1	$\frac{1}{x - 4} - \frac{4}{x^{2} - 4 x} = 1$
192660	Graph Using a Table of Values	y=(2x+1)/x	$y = \frac{2 x + 1}{x}$
192661	Factor	2(x-2)(x+1)^2-3(x-2)^2(x+1)	$2 (x - 2) {(x + 1)}^{2} - 3 {(x - 2)}^{2} (x + 1)$
192662	Simplify	((4- square root of 5)(4+ square root of 5))/(2 square root of 11)	$\frac{(4 - \sqrt{5}) (4 + \sqrt{5})}{2 \sqrt{11}}$
192663	Simplify	4^4(5)+3(11)	$4^{4} (5) + 3 (11)$
192664	Factor	ax+ay+az	$a x + a y + a z$
192665	Solve for r	A=P(1+rt) for r	$A = P (1 + r t)$ for $r$
192666	Rationalize the Numerator	( square root of r+ square root of 2)/5	$\frac{\sqrt{r} + \sqrt{2}}{5}$
192667	Evaluate	(12(9)-2^5)/( cube root of 64)	$\frac{12 (9) - 2^{5}}{\sqrt[3]{64}}$
192668	Solve for a	(x^(1/3))^2 cube root of x=x^a	${(x^{\frac{1}{3}})}^{2} \sqrt[3]{x} = x^{a}$
192669	Solve for x	5x+2(1-x)=2(2x-1)	$5 x + 2 (1 - x) = 2 (2 x - 1)$
192670	Solve for θ	tan(2theta)=-1	$\tan (2 θ) = - 1$
192671	Find the Parallel Line	(-1,5) and parallel to x+2y=5	$(- 1, 5)$ and parallel to $x + 2 y = 5$
192672	Solve for g	-9g+9>-g-7	$- 9 g + 9 > - g - 7$
192673	Multiply	(3x^3-x^2)(-2x)	$(3 x^{3} - x^{2}) (- 2 x)$
192674	Solve for x	3-8x=8/5x	$3 - 8 x = \frac{8}{5} x$
192675	Solve for x	log base 2 of x-6+ log base 2 of 4x+7=3	$\log_{2} (x - 6) + \log_{2} (4 x + 7) = 3$
192676	Solve the Inequality for x	x+8<=3x+1	$x + 8 \leq 3 x + 1$
192677	Graph	f(x)=(x^2+4x-21)/(p(x))	$f (x) = \frac{x^{2} + 4 x - 21}{p (x)}$
192678	Solve the System of Inequalities	x+18>=8x+4 or 15x-15<=15x+5	$x + 18 \geq 8 x + 4$ or $15 x - 15 \leq 15 x + 5$
192679	Simplify	(3+2i)/(5-i)	$\frac{3 + 2 i}{5 - i}$
192680	Find the Domain and Range	(x+3)/(x^2-9)	$\frac{x + 3}{x^{2} - 9}$
192681	Solve for x	9+x/5-2=4.8	$9 + \frac{x}{5} - 2 = 4.8$
192682	Solve for x	-1=-3/2(3x+1)-3/2	$- 1 = - \frac{3}{2} (3 x + 1) - \frac{3}{2}$
192683	Simplify	(x^(-3/4)x^5)/(x^(1/4))	$\frac{x^{- \frac{3}{4}} x^{5}}{x^{\frac{1}{4}}}$
192684	Solve Using the Quadratic Formula	2x^2-7x+9=x+1	$2 x^{2} - 7 x + 9 = x + 1$
192685	Solve the Inequality for c	5/(2c-3)>1	$\frac{5}{2 c - 3} > 1$
192686	Solve the Inequality for x	x-6<=15+8x	$x - 6 \leq 15 + 8 x$
192687	Solve for p	p-9÷(1/3)=6	$p - 9 \div \frac{1}{3} = 6$
192688	Solve the Inequality for x	(x+5)^2(x+3)(x-1)>0	${(x + 5)}^{2} (x + 3) (x - 1) > 0$
192689	Divide	(-2/3)÷0 , 4	$- \frac{2}{3} \div 0$ , $4$
192690	Find the Exact Value	5/6+1/3	$\frac{5}{6} + \frac{1}{3}$
192691	Solve for x	(x^2-16)(4x^2-81)=0	$(x^{2} - 16) (4 x^{2} - 81) = 0$
192692	Solve the Absolute Value Inequality for m	\|m-2\|<8	$\| m - 2 \| < 8$
192693	Solve the System of Equations	-x+y+z=-1 x+y-2z=7 4x-2y+2z=-4	$- x + y + z = - 1$ $x + y - 2 z = 7$ $4 x - 2 y + 2 z = - 4$
192694	Find g(f(x))	f(x)=2x-5 and g(x)=x^2-2	$f (x) = 2 x - 5$ and $g (x) = x^{2} - 2$
192695	Evaluate	-5 1/2+6 3/4+(-4 1/4)	$- 5 \frac{1}{2} + 6 \frac{3}{4} + (- 4 \frac{1}{4})$
192696	Simplify	3-17-9a+2a	$3 - 17 - 9 a + 2 a$
192697	Evaluate	(5+(-1))/2	$\frac{5 + (- 1)}{2}$
192698	Solve for r	44r-31r-12=14	$44 r - 31 r - 12 = 14$
192699	Divide	(x^2)÷2x	$x^{2} \div 2 x$
192700	Graph	x<=-2 or x>=3	$x \leq - 2$ or $x \geq 3$