Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
60001	Solve by Addition/Elimination	7x-5y=31 4x-7y=-3	$7 x - 5 y = 31$ $4 x - 7 y = - 3$
60002	Solve for r	s=2prh+2pr^2	$s = 2 p r h + 2 p r^{2}$
60003	Solve for r	y=1/3*(pr^2x)	$y = \frac{1}{3} \cdot (p r^{2} x)$
60004	Solve for x	square root of 2x+7-2=x	$\sqrt{2 x + 7} - 2 = x$
60005	Solve for x	90/x-90/(x-5)=-1/4	$\frac{90}{x} - \frac{90}{x - 5} = - \frac{1}{4}$
60006	Solve for x	2x-3>23	$2 x - 3 > 23$
60007	Solve for x	square root of x=9	$\sqrt{x} = 9$
60008	Solve by Addition/Elimination	8x-y=54 8x+2y=60	$8 x - y = 54$ $8 x + 2 y = 60$
60009	Solve for c	c^2-4c=0	$c^{2} - 4 c = 0$
60010	Solve by Addition/Elimination	9x+4y=5 , 6x+6y=0	$9 x + 4 y = 5$ , $6 x + 6 y = 0$
60011	Solve by Addition/Elimination	9x-2y=73 5x-9y=9	$9 x - 2 y = 73$ $5 x - 9 y = 9$
60012	Simplify	((a^8a^6)^(1/7))/(a^2)	$\frac{{(a^{8} a^{6})}^{\frac{1}{7}}}{a^{2}}$
60013	Find the Asymptotes	f(x)=(x^2-36)/(x^3-36x)	$f (x) = \frac{x^{2} - 36}{x^{3} - 36 x}$
60014	Solve for f	f=-(GMn)/(D^2)	$f = - \frac{G M n}{D^{2}}$
60015	Solve by Addition/Elimination	-9x-6y=15 9x-10y=145	$- 9 x - 6 y = 15$ $9 x - 10 y = 145$
60016	Factor	8x^2+10x+2	$8 x^{2} + 10 x + 2$
60017	Solve by Addition/Elimination	r+3s=7 2r-s=7	$r + 3 s = 7$ $2 r - s = 7$
60018	Solve for y	y=-4x+2	$y = - 4 x + 2$
60019	Solve for y	y=7x	$y = 7 x$
60020	Factor	ab+4+a+4b	$a b + 4 + a + 4 b$
60021	Solve by Addition/Elimination	x^2+y^2=116 , x^2-y^2=84	$x^{2} + y^{2} = 116$ , $x^{2} - y^{2} = 84$
60022	Solve for z	z^4-10z^2+9=0	$z^{4} - 10 z^{2} + 9 = 0$
60023	Solve for z	-28+15-22z=31	$- 28 + 15 - 22 z = 31$
60024	Convert to Interval Notation	(x^2+3x+2)/(x-4)<=0	$\frac{x^{2} + 3 x + 2}{x - 4} \leq 0$
60025	Evaluate	64^(7/12)	$64^{\frac{7}{12}}$
60026	Solve for x	110/x-110/(x-5)=-1/5	$\frac{110}{x} - \frac{110}{x - 5} = - \frac{1}{5}$
60027	Simplify	(g-1)/9-(g+1)/6	$\frac{g - 1}{9} - \frac{g + 1}{6}$
60028	Simplify	square root of 400/5	$\sqrt{\frac{400}{5}}$
60029	Solve for x	square root of x^2+49=x+5	$\sqrt{x^{2} + 49} = x + 5$
60030	Solve for x	6(x-4)+7=-5	$6 (x - 4) + 7 = - 5$
60031	Solve by Addition/Elimination	x^2-xy+5y^2=9 , x-y=2	$x^{2} - x y + 5 y^{2} = 9$ , $x - y = 2$
60032	Simplify	(-2/3x)(3y)(-2x)	$(- \frac{2}{3} x) (3 y) (- 2 x)$
60033	Solve for x	(x-2)^2=25	${(x - 2)}^{2} = 25$
60034	Solve for x	(x-6)^2=49	${(x - 6)}^{2} = 49$
60035	Solve for x	(5-x)^(1/2)=x+1	${(5 - x)}^{\frac{1}{2}} = x + 1$
60036	Solve for x	(2x+3)^2=25	${(2 x + 3)}^{2} = 25$
60037	Solve for x	(x+4)(x-12)=5x	$(x + 4) (x - 12) = 5 x$
60038	Solve for y	4y-6=1-2y	$4 y - 6 = 1 - 2 y$
60039	Solve for y	6(4.5y-12)=9	$6 (4.5 y - 12) = 9$
60040	Solve for y	6x+y=9	$6 x + y = 9$
60041	Factor	-3x-3y-3z	$- 3 x - 3 y - 3 z$
60042	Factor	35d+5d^2-30	$35 d + 5 d^{2} - 30$
60043	Solve for y	3y+1=4y-6	$3 y + 1 = 4 y - 6$
60044	Solve for y	-4-2y=4	$- 4 - 2 y = 4$
60045	Multiply	(2x^2-4x+1)(5x-7)	$(2 x^{2} - 4 x + 1) (5 x - 7)$
60046	Simplify	square root of 3y^18z	$\sqrt{3 y^{18} z}$
60047	Solve for y	2-y=6	$2 - y = 6$
60048	Solve for y	14-3y=4y	$14 - 3 y = 4 y$
60049	Solve for y	0-y=4	$0 - y = 4$
60050	Solve for y	x=4y	$x = 4 y$
60051	Solve by Addition/Elimination	x+y=1 x-y=-3	$x + y = 1$ $x - y = - 3$
60052	Simplify	(a^3-2a+5)-(4a^3-5a^2+a-2)	$(a^{3} - 2 a + 5) - (4 a^{3} - 5 a^{2} + a - 2)$
60053	Solve for Y	X=2/3*(y+Z)	$X = \frac{2}{3} \cdot (y + Z)$
60054	Solve for y	7x+y=4	$7 x + y = 4$
60055	Solve for y	k=16yz	$k = 16 y z$
60056	Solve by Addition/Elimination	-x+y=-2 2x-3y=4	$- x + y = - 2$ $2 x - 3 y = 4$
60057	Solve for y	K=10yz	$K = 10 y z$
60058	Solve by Addition/Elimination	x+y=2 x-y=14	$x + y = 2$ $x - y = 14$
60059	Solve for y	K=5yz	$K = 5 y z$
60060	Simplify	5 square root of -50-3 square root of -18+2 square root of -8	$5 \sqrt{- 50} - 3 \sqrt{- 18} + 2 \sqrt{- 8}$
60061	Factor	-4+8a-4a^2	$- 4 + 8 a - 4 a^{2}$
60062	Use the Rational Roots Test to Find All Possible Roots	f(x)=5x^3-7x+11	$f (x) = 5 x^{3} - 7 x + 11$
60063	Solve by Addition/Elimination	x+y=3 2x-y=3	$x + y = 3$ $2 x - y = 3$
60064	Solve by Addition/Elimination	-x+y=-3 3x+2y=9	$- x + y = - 3$ $3 x + 2 y = 9$
60065	Solve for y	y=2(0)-3	$y = 2 (0) - 3$
60066	Solve by Addition/Elimination	x+y=5 x-y=3	$x + y = 5$ $x - y = 3$
60067	Solve for y	3x+4y=12	$3 x + 4 y = 12$
60068	Solve by Addition/Elimination	x+y=6 x-y=2	$x + y = 6$ $x - y = 2$
60069	Solve for y	y=2/3x+3	$y = \frac{2}{3} x + 3$
60070	Solve by Addition/Elimination	x+y=6 x-y=8	$x + y = 6$ $x - y = 8$
60071	Solve for y	y=3^2	$y = 3^{2}$
60072	Solve for x	log of x+5 = log of 5x-4	$\log (x + 5) = \log (5 x - 4)$
60073	Solve by Addition/Elimination	x+y=8 -x+2y=7	$x + y = 8$ $- x + 2 y = 7$
60074	Solve for x	log of x+9 = log of x+ log of 9	$\log (x + 9) = \log (x) + \log (9)$
60075	Solve for x	log of x+16 = log of x+ log of 16	$\log (x + 16) = \log (x) + \log (16)$
60076	Solve for x	log of 3x=4	$\log (3) x = 4$
60077	Solve for x	log of 3x+10=2	$\log (3 x + 10) = 2$
60078	Solve for x	x+1/6=-2/3	$x + \frac{1}{6} = - \frac{2}{3}$
60079	Solve for x	x+(7-5x)/2=1	$x + \frac{7 - 5 x}{2} = 1$
60080	Find the Discriminant	0=-x^2+4x-2	$0 = - x^{2} + 4 x - 2$
60081	Solve by Addition/Elimination	-x-2y=6 2x-y=3	$- x - 2 y = 6$ $2 x - y = 3$
60082	Solve for x	x-2/3=4/5	$x - \frac{2}{3} = \frac{4}{5}$
60083	Solve for x	sin(x)=1/2	$\sin (x) = \frac{1}{2}$
60084	Solve by Addition/Elimination	x-3y=-19 2x+y=-3	$x - 3 y = - 19$ $2 x + y = - 3$
60085	Graph	f(x)=x^3-3x^2-4x	$f (x) = x^{3} - 3 x^{2} - 4 x$
60086	Solve for x	-x+10-8x+2x=17	$- x + 10 - 8 x + 2 x = 17$
60087	Solve for x	x-y=-8	$x - y = - 8$
60088	Solve for x	x-5=2	$x - 5 = 2$
60089	Solve by Addition/Elimination	x-4y=-15 , 8x-5y=42	$x - 4 y = - 15$ , $8 x - 5 y = 42$
60090	Solve for x	x-3y=4	$x - 3 y = 4$
60091	Solve for x	x-3y=5	$x - 3 y = 5$
60092	Solve for x	x-3=5	$x - 3 = 5$
60093	Graph	y=x^2+10x+24	$y = x^{2} + 10 x + 24$
60094	Solve by Addition/Elimination	x-y=19 , -2x+y/6=28	$x - y = 19$ , $- 2 x + \frac{y}{6} = 28$
60095	Solve for x	-3(x+n)=x	$- 3 (x + n) = x$
60096	Solve by Addition/Elimination	x-y=4 4x-y=28	$x - y = 4$ $4 x - y = 28$
60097	Solve for x	3(x-2)+7=2(x+5)	$3 (x - 2) + 7 = 2 (x + 5)$
60098	Solve for x	2x+y=11	$2 x + y = 11$
60099	Solve for x	2x+5y=5	$2 x + 5 y = 5$
60100	Find the Slope and y-intercept	(-3,4) , (6,1)	$(- 3, 4) (6, 1)$