Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185801	Evaluate Using the Given Value	4-2f when f=1	$4 - 2 f$ when $f = 1$
185802	Simplify	((n(n+1))/2)^2	${(\frac{n (n + 1)}{2})}^{2}$
185803	Solve the System of Equations	y=-6x+5 -2x+y=5	$y = - 6 x + 5$ $- 2 x + y = 5$
185804	Solve for x	(x+10)/9+(x+7)/3=7	$\frac{x + 10}{9} + \frac{x + 7}{3} = 7$
185805	Simplify	((x-2)/(3x))÷((4x-8)/(6x))	$\frac{x - 2}{3 x} \div \frac{4 x - 8}{6 x}$
185806	Solve the Inequality for k	5<k-2<11	$5 < k - 2 < 11$
185807	Evaluate	log base 8 of x+ log base 8 of x-12=2	$\log_{8} (x) + \log_{8} (x - 12) = 2$
185808	Simplify	(a+b-c)(a-b+c)	$(a + b - c) (a - b + c)$
185809	Graph	f(x)=x^3+x+2	$f (x) = x^{3} + x + 2$
185810	Multiply	1 , 5*1 , 5	$1$ , $5 \cdot 1$ , $5$
185811	Write in Standard Form	5x=(2x+1)^2	$5 x = {(2 x + 1)}^{2}$
185812	Simplify the Radical Expression	(3p^3q)^(3/4)	${(3 p^{3} q)}^{\frac{3}{4}}$
185813	Solve the Inequality for x	x^2>=49	$x^{2} \geq 49$
185814	Simplify	limit as x approaches 4 of (x^2-16)/(x-4)	$lim_{x \to 4} \frac{x^{2} - 16}{x - 4}$
185815	Simplify	square root of 2x^2+x square root of 18	$\sqrt{2 x^{2}} + x \sqrt{18}$
185816	Solve for x	2\|x+3\|-4<-8	$2 \| x + 3 \| - 4 < - 8$
185817	Find the Exact Value	cos(arcsin(u))	$\cos (\arcsin (u))$
185818	Solve for x	5\|x+1\|+7<=47	$5 \| x + 1 \| + 7 \leq 47$
185819	Graph	f(x)=x^3+x^2-x-1	$f (x) = x^{3} + x^{2} - x - 1$
185820	Factor	6(p^2-1)=5p	$6 (p^{2} - 1) = 5 p$
185821	Graph	g(x)=1/2(2)^(2x)-4	$g (x) = \frac{1}{2} {(2)}^{2 x} - 4$
185822	Solve the Inequality for x	-2<(x+1)/(x-3)	$- 2 < \frac{x + 1}{x - 3}$
185823	Graph	11+7x>=-17	$11 + 7 x \geq - 17$
185824	Write in Standard Form	( square root of 14+ square root of 10i)( square root of 14- square root of 10i)	$(\sqrt{14} + \sqrt{10} i) (\sqrt{14} - \sqrt{10} i)$
185825	Find the x and y Intercepts	(5x^2-5)/(-3x^2-6x+9)	$\frac{5 x^{2} - 5}{- 3 x^{2} - 6 x + 9}$
185826	Solve for m	d=l/(l-m)	$d = \frac{l}{l - m}$
185827	Evaluate the Function	f(k)=3k^2+6 when k=-3	$f (k) = 3 k^{2} + 6$ when $k = - 3$
185828	Graph Using a Table of Values	y = square root of x+3	$y = \sqrt{x + 3}$
185829	Solve for x	-6/x-8/(x+8)=-(5x)/(x+8)	$- \frac{6}{x} - \frac{8}{x + 8} = - \frac{5 x}{x + 8}$
185830	Factor	12a^2bx-15a^2 by	$12 a^{2} b x - 15 a^{2}$ by
185831	Find the x and y Intercepts	(5x)/(-2x-4)	$\frac{5 x}{- 2 x - 4}$
185832	Find the Distance Between Two Points	(-4,-6) and (-9,6)	$(- 4, - 6)$ and $(- 9, 6)$
185833	Find the Roots (Zeros)	2x^2+6=x	$2 x^{2} + 6 = x$
185834	Graph	2<x-10	$2 < x - 10$
185835	Simplify the Radical Expression	cube root of -216	$\sqrt[3]{- 216}$
185836	Expand the Logarithmic Expression	log base 1/2 of (3x^2)/2	$\log_{\frac{1}{2}} (\frac{3 x^{2}}{2})$
185837	Solve for x	4(3-x)+6x=3x+12-x	$4 (3 - x) + 6 x = 3 x + 12 - x$
185838	Solve the Absolute Value Inequality for x	\|x\|=16	$\| x \| = 16$
185839	Determine if Perpendicular	10x+8y=16 5y=4x-15	$10 x + 8 y = 16$ $5 y = 4 x - 15$
185840	Write the Fraction in Simplest Form	2/3-1/4	$\frac{2}{3} - \frac{1}{4}$
185841	Simplify	(aaaaa*a)/a	$\frac{a \cdot a \cdot a \cdot a \cdot a \cdot a}{a}$
185842	Find the Product	(x^2+a^2)(x^2-a^2)	$(x^{2} + a^{2}) (x^{2} - a^{2})$
185843	Simplify	(5(x-3)-3(2x+4))/9	$\frac{5 (x - 3) - 3 (2 x + 4)}{9}$
185844	Solve the System of Equations	x+y+z=12 2x-y+z=7 x+2y-z=6	$x + y + z = 12$ $2 x - y + z = 7$ $x + 2 y - z = 6$
185845	Solve for x	1/3*x=1	$\frac{1}{3} \cdot x = 1$
185846	Solve for a	xx^(1/2)=x^a	$x \cdot x^{\frac{1}{2}} = x^{a}$
185847	Evaluate	sin(pi/6)+cos(pi/6)	$\sin (\frac{π}{6}) + \cos (\frac{π}{6})$
185848	Find the Distance Between Two Points	(-1,2) and (2,-4)	$(- 1, 2)$ and $(2, - 4)$
185849	Find the Exact Value	square root of -7	$\sqrt{- 7}$
185850	Solve the Absolute Value Inequality for x	3\|2x-3\|+2=3	$3 \| 2 x - 3 \| + 2 = 3$
185851	Graph	y=(1^x)/3	$y = \frac{1^{x}}{3}$
185852	Solve the Inequality for r	(-8+r)/2>-8	$\frac{- 8 + r}{2} > - 8$
185853	Find the End Behavior	(x^2+1)/(x^3+2)	$\frac{x^{2} + 1}{x^{3} + 2}$
185854	Find the Exact Value	tan(-270 degrees )	$\tan (- 270 °)$
185855	Solve for r	q=9r^2+16s^2r^2	$q = 9 r^{2} + 16 s^{2} r^{2}$
185856	Solve the Inequality for x	x^3-10x^2+23x-14<0	$x^{3} - 10 x^{2} + 23 x - 14 < 0$
185857	Solve for x	cx-b=x/a	$c x - b = \frac{x}{a}$
185858	Simplify	cube root of 5* cube root of 5^5	$\sqrt[3]{5} \cdot \sqrt[3]{5^{5}}$
185859	Evaluate	f(x)=3^-4	$f (x) = 3^{- 4}$
185860	Factor	-9-x^4+10x^2	$- 9 - x^{4} + 10 x^{2}$
185861	Solve the Inequality for x	4-6(x+2)>2(x-5)+2	$4 - 6 (x + 2) > 2 (x - 5) + 2$
185862	Solve for x	(x+1)/(x-3)=(x^2-6x+1)/((x-3)(x-1))	$\frac{x + 1}{x - 3} = \frac{x^{2} - 6 x + 1}{(x - 3) (x - 1)}$
185863	Solve for x	9x+8a=2c-6a	$9 x + 8 a = 2 c - 6 a$
185864	Divide	(x^2+x)/(x^2)	$\frac{x^{2} + x}{x^{2}}$
185865	Solve for y	y(y-10)+30=0	$y (y - 10) + 30 = 0$
185866	Find the Exact Value	cot(510 degrees )	$\cot (510 °)$
185867	Find g(f(x))	f(x)=5x+3 and g(x)=6x^2-5x	$f (x) = 5 x + 3$ and $g (x) = 6 x^{2} - 5 x$
185868	Simplify	2/(a^3b^3)-1/(a^2b^3)	$\frac{2}{a^{3} b^{3}} - \frac{1}{a^{2} b^{3}}$
185869	Solve for c	2/3(6c-18)+3/4(8c+32)=-18	$\frac{2}{3} (6 c - 18) + \frac{3}{4} (8 c + 32) = - 18$
185870	Solve for b	ab-3a=5	$a b - 3 a = 5$
185871	Graph	f^-1(x)=x/3-1/3	$f^{- 1} (x) = \frac{x}{3} - \frac{1}{3}$
185872	Solve Using the Quadratic Formula	1=x^2-3x	$1 = x^{2} - 3 x$
185873	Solve for w	\|-7w-9\|=8w+3	$\| - 7 w - 9 \| = 8 w + 3$
185874	Solve for x	5/2x-5/6x=4/3	$\frac{5}{2} x - \frac{5}{6} x = \frac{4}{3}$
185875	Find the Distance Between Two Points	(4,2) and (8,8)	$(4, 2)$ and $(8, 8)$
185876	Simplify	(a+6)/(4-a^2)-(a+3)/(a+2)+(a-3)/(2-a)	$\frac{a + 6}{4 - a^{2}} - \frac{a + 3}{a + 2} + \frac{a - 3}{2 - a}$
185877	Factor	5m^2n+5mp^2+n^2p^2+mn^3	$5 m^{2} n + 5 m p^{2} + n^{2} p^{2} + m n^{3}$
185878	Simplify	-2 square root of 2p*2 square root of 22	$- 2 \sqrt{2 p} \cdot 2 \sqrt{22}$
185879	Find the Holes in the Graph	f(x)=(x^3+6x^2+8x)/(x^3-9x)	$f (x) = \frac{x^{3} + 6 x^{2} + 8 x}{x^{3} - 9 x}$
185880	Solve for x	(x-3)^2-(2x+5)^2=-16	${(x - 3)}^{2} - {(2 x + 5)}^{2} = - 16$
185881	Factor	21a+24y^3-24y^2-21ay	$21 a + 24 y^{3} - 24 y^{2} - 21 a y$
185882	Solve for x	2x=2pi	$2 x = 2 π$
185883	Find the x and y Intercepts	5/(3x+2)	$\frac{5}{3 x + 2}$
185884	Find the x and y Intercepts	f(x)=(x^2+2)(x^2+2)(x^2+3)	$f (x) = (x^{2} + 2) (x^{2} + 2) (x^{2} + 3)$
185885	Evaluate	-8-10*-7	$- 8 - 10 \times - 7$
185886	Find the Distance Between Two Points	(6,-1) and (-1,6)	$(6, - 1)$ and $(- 1, 6)$
185887	Solve Using the Quadratic Formula	x^4-8x^2+16=0	$x^{4} - 8 x^{2} + 16 = 0$
185888	Solve for x	(6x)^(2/3)=36	${(6 x)}^{\frac{2}{3}} = 36$
185889	Solve for x	(x^2-29)/(x^2-10x+21)=6/(x-7)+5/(x-3)	$\frac{x^{2} - 29}{x^{2} - 10 x + 21} = \frac{6}{x - 7} + \frac{5}{x - 3}$
185890	Solve the System of Equations	2x+y+z=-3 -2x+2y+z=4 -x+y+2z=5	$2 x + y + z = - 3$ $- 2 x + 2 y + z = 4$ $- x + y + 2 z = 5$
185891	Factor	x^2+(a+b)x+ab	$x^{2} + (a + b) x + a b$
185892	Solve Using the Quadratic Formula	A=pir^2	$A = π r^{2}$
185893	Convert to Radical Form	(3^8)/(3^2)	$\frac{3^{8}}{3^{2}}$
185894	Find the Midpoint	(4,6) and (1,3)	$(4, 6)$ and $(1, 3)$
185895	Graph	y=5/6x+7 y=-4/3x-6	$y = \frac{5}{6} x + 7$ $y = - \frac{4}{3} x - 6$
185896	Graph	y=x^2+3,x<4; x+4,x>=4	$y = {\begin{cases} x^{2} + 3, x < 4 \\ x + 4, x \geq 4 \end{cases}$
185897	Write in Slope-Intercept Form	(3,-2) and (0,4)	$(3, - 2)$ and $(0, 4)$
185898	Find the Parabola with Focus (9,0) and Directrix y=-4	(9,0) y=-4	$(9, 0)$ $y = - 4$
185899	Simplify	(x/8)/8	$\frac{\frac{x}{8}}{8}$
185900	Solve the Inequality for x	4/(x+1)<4	$\frac{4}{x + 1} < 4$