Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191501	Simplify	( square root of x^2+1)^2	${(\sqrt{x^{2} + 1})}^{2}$
191502	Graph	-f(x)-2	$- f (x) - 2$
191503	Write in Standard Form	(2+7x)(2-7x)	$(2 + 7 x) (2 - 7 x)$
191504	Solve the Inequality for x	\|2x-7\|+18>=30	$\| 2 x - 7 \| + 18 \geq 30$
191505	Evaluate	6^2+(3*4)-2^4	$6^{2} + (3 \cdot 4) - 2^{4}$
191506	Simplify	1/((2 square root of 2)/3)	$\frac{1}{\frac{2 \sqrt{2}}{3}}$
191507	Find the Domain and Range	f(x)=3+ square root of 2-4x	$f (x) = 3 + \sqrt{2 - 4 x}$
191508	Solve the System of Equations	2x-3y+z=10 y+2z=13 z=5	$2 x - 3 y + z = 10$ $y + 2 z = 13$ $z = 5$
191509	Simplify	( square root of 2^6+(11-5^2))/(\|-10-2*3\|)	$\frac{\sqrt{2^{6}} + (11 - 5^{2})}{\| - 10 - 2 \cdot 3 \|}$
191510	Solve for x	2^(x+2)>=1/32	$2^{x + 2} \geq \frac{1}{32}$
191511	Solve for x	6x^3+21x^2-90x=0	$6 x^{3} + 21 x^{2} - 90 x = 0$
191512	Simplify	3-(-2+4i)-(5i)	$3 - (- 2 + 4 i) - (5 i)$
191513	Solve Using the Quadratic Formula	72x^4-74x^2+14=0	$72 x^{4} - 74 x^{2} + 14 = 0$
191514	Solve for x	\|2x-3\|-\|x+5\|=1	$\| 2 x - 3 \| - \| x + 5 \| = 1$
191515	Find the Distance Between Two Points	(-2,2) and (-8,-6)	$(- 2, 2)$ and $(- 8, - 6)$
191516	Find the Domain and Range	f(x)=2 square root of -x+2	$f (x) = 2 \sqrt{- x} + 2$ ?
191517	Solve for w	4w^2=-12w-9	$4 w^{2} = - 12 w - 9$
191518	Simplify	cube root of -2^10	$\sqrt[3]{- 2^{10}}$
191519	Graph	y>1/4x+6 y>2x-1	$y > \frac{1}{4} x + 6$ $y > 2 x - 1$
191520	Evaluate Using the Given Value	2(x+1)-3 when x=6	$2 (x + 1) - 3$ when $x = 6$
191521	Solve for x	-6x^5+x^4-96x^3+16x^2=0	$- 6 x^{5} + x^{4} - 96 x^{3} + 16 x^{2} = 0$
191522	Find the Holes in the Graph	(x^2+4x+4)/(x+2)	$\frac{x^{2} + 4 x + 4}{x + 2}$
191523	Multiply	(8x+6)*(-7x-y+3)	$(8 x + 6) \cdot (- 7 x - y + 3)$
191524	Evaluate	3+(2+3)^2-6/2	$3 + {(2 + 3)}^{2} - \frac{6}{2}$
191525	Subtract	(3x^3-5x^2-6x+3)-(2x^3+4x-8)	$(3 x^{3} - 5 x^{2} - 6 x + 3) - (2 x^{3} + 4 x - 8)$
191526	Graph	-6<x+1	$- 6 < x + 1$
191527	Divide Using Synthetic Division	(2x^5-x^4+3x^2-x+5)÷(x-1)	$(2 x^{5} - x^{4} + 3 x^{2} - x + 5) \div (x - 1)$
191528	Solve for q	a(q-c)=d	$a (q - c) = d$
191529	Solve for u	f(u)=(-9u+8)/(-12u+11)	$f (u) = \frac{- 9 u + 8}{- 12 u + 11}$
191530	Multiply	2/53/64	$\frac{2}{5} \cdot \frac{3}{6} \cdot 4$
191531	Solve for v	-v^2+24v+16=-6v^2	$- v^{2} + 24 v + 16 = - 6 v^{2}$
191532	Multiply	(4(x+6))/(x-2)*(x+10)/(24(x+6))	$\frac{4 (x + 6)}{(x - 2)} \cdot \frac{(x + 10)}{24 (x + 6)}$
191533	Simplify	square root of 3* square root of 3* square root of 3	$\sqrt{3} \cdot \sqrt{3} \cdot \sqrt{3}$
191534	Solve for t	A=P(1+rt) for t	$A = P (1 + r t)$ for $t$
191535	Divide	((x^2+10x+16)/(x^2-6x-16))÷((x+8)/(x^2-64))	$\frac{x^{2} + 10 x + 16}{x^{2} - 6 x - 16} \div \frac{x + 8}{x^{2} - 64}$
191536	Evaluate Using the Given Value	K=a-y , y	$K = a - y$ , $y$
191537	Simplify	8a^2-2+5+10a+9+7	$8 a^{2} - 2 + 5 + 10 a + 9 + 7$
191538	Solve the Inequality for x	-6(-3+6x)>-38-8x	$- 6 (- 3 + 6 x) > - 38 - 8 x$
191539	Solve for x	3/x+4/(2x)=x-1	$\frac{3}{x} + \frac{4}{2 x} = x - 1$
191540	Simplify	xy+x^2+2xy+y^2-3x^2	$x y + x^{2} + 2 x y + y^{2} - 3 x^{2}$
191541	Solve the Absolute Value Inequality for x	\|x-3\|+2=5	$\| x - 3 \| + 2 = 5$
191542	Find the Exact Value	tan(-75 degrees )	$\tan (- 75 °)$
191543	Solve the Inequality for x	-3<x-1<=5	$- 3 < x - 1 \leq 5$
191544	Write the Fraction in Simplest Form	(9m+9n)/(9r-9s)	$\frac{9 m + 9 n}{9 r - 9 s}$
191545	Solve for x	x-x/5=30	$x - \frac{x}{5} = 30$
191546	Solve for x	x/5-3<=6	$\frac{x}{5} - 3 \leq 6$
191547	Solve for a	(x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4	$(x + 4) (a x^{2} + b x + c) = 2 x^{3} + 9 x^{2} + 3 x - 4$
191548	Simplify	(x^2-3y+1)(x^2+2x)	$(x^{2} - 3 y + 1) (x^{2} + 2 x)$
191549	Graph	y=x^2+3,x<=4; x+4,x>4	$y = {\begin{cases} x^{2} + 3, x \leq 4 \\ x + 4, x > 4 \end{cases}$
191550	Solve for x	9x+3x-10=3(3x+x)	$9 x + 3 x - 10 = 3 (3 x + x)$
191551	Solve Using the Quadratic Formula	f(x)=x^2+10x-1	$f (x) = x^{2} + 10 x - 1$
191552	Solve for x	3x-1/5-2/9x=124/5	$3 x - \frac{1}{5} - \frac{2}{9} x = \frac{124}{5}$
191553	Graph	x/2+3/2	$\frac{x}{2} + \frac{3}{2}$
191554	Simplify	cube root of -8/27	$\sqrt[3]{\frac{- 8}{27}}$
191555	Solve for b	4-9\|-6-b\|=-14	$4 - 9 \| - 6 - b \| = - 14$
191556	Graph	R(x)=-x^5+5x^3-9x	$R (x) = - x^{5} + 5 x^{3} - 9 x$
191557	Solve the Inequality for x	(7x)/(x^2-36)>=0	$\frac{7 x}{x^{2} - 36} \geq 0$
191558	Factor	12qw^3-12q^4	$12 q w^{3} - 12 q^{4}$
191559	Solve for d	s=n/2(2a+(n-1)d)	$s = \frac{n}{2} (2 a + (n - 1) d)$
191560	Solve for x	(2x)/(x-2)-1=4/(x-2)	$\frac{2 x}{x - 2} - 1 = \frac{4}{x - 2}$
191561	Find the Quadratic Equation Given the Roots	2 and -5	$2$ and $- 5$
191562	Evaluate	1/(1+sin(x))-1/(1-sin(x))	$\frac{1}{1 + \sin (x)} - \frac{1}{1 - \sin (x)}$
191563	Simplify	(5-3)(5+3)	$(5 - 3) (5 + 3)$
191564	Solve the System of Equations	z=3y+4 and z=-y	$z = 3 y + 4$ and $z = - y$
191565	Find the Distance Between Two Points	(0,0) and (3,-4)	$(0, 0)$ and $(3, - 4)$
191566	Simplify	( square root of 6+ square root of 3)( square root of 2-2)	$(\sqrt{6} + \sqrt{3}) (\sqrt{2} - 2)$
191567	Find the Domain and Range	y=1/(\|x\|)	$y = \frac{1}{\| x \|}$
191568	Subtract	(-4x^2+6)-(9x^2-7x)	$(- 4 x^{2} + 6) - (9 x^{2} - 7 x)$
191569	Solve for r	r+4<5	$r + 4 < 5$
191570	Evaluate	3/2+(-6/5)	$\frac{3}{2} + (- \frac{6}{5})$
191571	Solve the Inequality for x	(x-c)/d>y	$\frac{x - c}{d} > y$
191572	Find the Remainder	(6x^4+11x^3+2x^2-x+5)/(2x^2+3x+1)	$\frac{6 x^{4} + 11 x^{3} + 2 x^{2} - x + 5}{2 x^{2} + 3 x + 1}$
191573	Factor	y=x^2-8x+16	$y = x^{2} - 8 x + 16$
191574	Graph	y>-2x+3 y<=x-2	$y > - 2 x + 3$ $y \leq x - 2$
191575	Solve the Inequality for x	x^3-x^2<=0	$x^{3} - x^{2} \leq 0$
191576	Solve the Inequality for a	a/2-3>=2a	$\frac{a}{2} - 3 \geq 2 a$
191577	Multiply	(x^2-16)/(6x)*(7x)/(x+4)	$\frac{x^{2} - 16}{6 x} \cdot \frac{7 x}{x + 4}$
191578	Solve for x	5/(x+4)+(x+3)/(x-4)=7/(x-4)	$\frac{5}{x + 4} + \frac{x + 3}{x - 4} = \frac{7}{x - 4}$
191579	Evaluate the Function	f(x)=8x^2+11x at x=7	$f (x) = 8 x^{2} + 11 x$ at $x = 7$
191580	Simplify	(x^3)/((x^-6)^3)	$\frac{x^{3}}{{(x^{- 6})}^{3}}$
191581	Evaluate	(-5/13)^2-(12/13)^2	${(- \frac{5}{13})}^{2} - {(\frac{12}{13})}^{2}$
191582	Solve for x	y=3(x-2)+x	$y = 3 (x - 2) + x$
191583	Find the Exact Value	( square root of 5)^2	${(\sqrt{5})}^{2}$
191584	Graph	f(x,y) = square root of x^2+y^2	$f (x, y) = \sqrt{x^{2} + y^{2}}$
191585	Evaluate	sec(x)-1/(sec(x))	$\sec (x) - \frac{1}{\sec (x)}$
191586	Find the Exact Value	csc(-600 degrees )	$\csc (- 600 °)$
191587	Factor	bm^2+by^2-(cm^2)-cy^2	$b m^{2} + b y^{2} - {cm}^{2} - c y^{2}$
191588	Graph	3x-2y<=-1 x+4y>=-12	$3 x - 2 y \leq - 1$ $x + 4 y \geq - 12$
191589	Factor by Grouping	x^3-x	$x^{3} - x$
191590	Solve for x	(5x)/(x-1)-10/x=5	$\frac{5 x}{x - 1} - \frac{10}{x} = 5$
191591	Find the Distance Between Two Points	(-6,6) and (-3,3)	$(- 6, 6)$ and $(- 3, 3)$
191592	Solve for y	(x+4)^2+y^2=22	${(x + 4)}^{2} + y^{2} = 22$
191593	Solve the Inequality for x	(x^2-9)(1-x)(x+1)<0	$(x^{2} - 9) (1 - x) (x + 1) < 0$
191594	Solve the Absolute Value Inequality for w	4/3\|3w-6\|=16	$\frac{4}{3} \| 3 w - 6 \| = 16$
191595	Describe the Transformation	y=-1/3\|x\|	$y = - \frac{1}{3} \| x \|$
191596	Write in Standard Form	5+ square root of -16	$5 + \sqrt{- 16}$
191597	Solve for x	(5+4i)-(x+yi)=-1-3i	$(5 + 4 i) - (x + y i) = - 1 - 3 i$
191598	Find the x and y Intercepts	f(x)=-9x^3-9+5x+9x^2	$f (x) = - 9 x^{3} - 9 + 5 x + 9 x^{2}$
191599	Simplify	(36a^3bc^2)/(24ab^4c^2)	$\frac{36 a^{3} b c^{2}}{24 a b^{4} c^{2}}$
191600	Find the Quadratic Equation Given the Roots	6 and -5	$6$ and $- 5$