Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162601	Write in Standard Form	-x^5+1/5+x^3	$- x^{5} + \frac{1}{5} + x^{3}$
162602	Solve for x	x^2+11x+15=-3	$x^{2} + 11 x + 15 = - 3$
162603	Find the Function	f(x)=4x^2	$f (x) = 4 x^{2}$
162604	Solve the System of Equations	3x-4y=-6 2x+4y=16	$3 x - 4 y = - 6$ $2 x + 4 y = 16$
162605	Graph Using a Table of Values	f(x)=5x	$f (x) = 5 x$
162606	Graph	(-6,5)	$(- 6, 5)$
162607	Simplify	(19 square root of 9m^4)(4 square root of 10m^2)	$(19 \sqrt{9 m^{4}}) (4 \sqrt{10 m^{2}})$
162608	Prove that a Root is on the Interval	f(x)=x^3 , [-4,4]	$f (x) = x^{3}$ , $[- 4, 4]$
162609	Solve for x	-3/2x=-1	$- \frac{3}{2} x = - 1$
162610	Combine Like Terms	-k-(-8k+7)	$- k - (- 8 k + 7)$
162611	Solve the Inequality for q	8q-3<10q+7	$8 q - 3 < 10 q + 7$
162612	Solve the Inequality for x	-x<-x+7(x-2)	$- x < - x + 7 (x - 2)$
162613	Factor	y^4+x^2y^5	$y^{4} + x^{2} y^{5}$
162614	Solve the System of Equations	y=2x-4 y=x^2-4	$y = 2 x - 4$ $y = x^{2} - 4$
162615	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+6x-16=0	$x^{2} + 6 x - 16 = 0$
162616	Simplify	7/(2(x-6)^2-4)	$\frac{7}{2 {(x - 6)}^{2} - 4}$
162617	Solve the Inequality for g	-2g+4<=-6g-9	$- 2 g + 4 \leq - 6 g - 9$
162618	Find the x and y Intercepts	f(x)=(4x^2-16)/(5x^2+15x+10)	$f (x) = \frac{4 x^{2} - 16}{5 x^{2} + 15 x + 10}$
162619	Graph Using a Table of Values	f(x)=x-2	$f (x) = x - 2$
162620	Simplify	(2/(x-1)-7/(x-4))/(6/(x-1))	$\frac{\frac{2}{x - 1} - \frac{7}{x - 4}}{\frac{6}{x - 1}}$
162621	Solve the Inequality for h	3h+7>=-h-10	$3 h + 7 \geq - h - 10$
162622	Solve by Factoring	5x^2+7=16x+4	$5 x^{2} + 7 = 16 x + 4$
162623	Solve the Absolute Value Inequality for x	\|x\|<5	$\| x \| < 5$
162624	Simplify	(x^2-11x+28)/(x^3-4x^2)	$\frac{x^{2} - 11 x + 28}{x^{3} - 4 x^{2}}$
162625	Solve the System of Equations	-5x+13y=-7 5x+4y=24	$- 5 x + 13 y = - 7$ $5 x + 4 y = 24$
162626	Simplify	(8x^2+19x+4)+(3x+2)(x-5)	$(8 x^{2} + 19 x + 4) + (3 x + 2) (x - 5)$
162627	Solve by Completing the Square	24=x^2-4x+3	$24 = x^{2} - 4 x + 3$
162628	Graph Using a Table of Values	y=4x^2	$y = 4 x^{2}$
162629	Graph	f(x)=-(x-1)(x-2)^2(x+1)^2	$f (x) = - (x - 1) {(x - 2)}^{2} {(x + 1)}^{2}$
162630	Find the Exact Value	log base 6 of 36	$\log_{6} (36)$
162631	Simplify	5/(2+4i)	$\frac{5}{2 + 4 i}$
162632	Solve for h	3h-2(4h-5)=10-5h	$3 h - 2 (4 h - 5) = 10 - 5 h$
162633	Solve the Rational Equation for x	x^(5/2)=32	$x^{\frac{5}{2}} = 32$
162634	Solve for y	2(y+1)+4y=3(2y-1)+8	$2 (y + 1) + 4 y = 3 (2 y - 1) + 8$
162635	Solve the Inequality for c	9c-1<4c-5	$9 c - 1 < 4 c - 5$
162636	Solve for x	40/(x+1)=15/6	$\frac{40}{x + 1} = \frac{15}{6}$
162637	Simplify	square root of 72+1/4 square root of 98	$\sqrt{72} + \frac{1}{4} \sqrt{98}$
162638	Rationalize the Numerator	( square root of x- square root of x+h)/(h square root of x square root of x+h)	$\frac{\sqrt{x} - \sqrt{x + h}}{h \sqrt{x} \sqrt{x + h}}$
162639	Solve for b	-4\|6b-8\|<=12	$- 4 \| 6 b - 8 \| \leq 12$
162640	Multiply	(q^2+4/7)^2	${(q^{2} + \frac{4}{7})}^{2}$
162641	Solve for a	22+2a=37+6+a	$22 + 2 a = 37 + 6 + a$
162642	Solve for a	3/x+5/(x^2)=(ax+b)/(x^2)	$\frac{3}{x} + \frac{5}{x^{2}} = \frac{a x + b}{x^{2}}$
162643	Subtract	2/4-1/3	$\frac{2}{4} - \frac{1}{3}$
162644	Solve the Inequality for x	3x+2>x+8	$3 x + 2 > x + 8$
162645	Solve the Inequality for g	-9g+9>-g-7	$- 9 g + 9 > - g - 7$
162646	Factor	x^3y^4+xy^4	$x^{3} y^{4} + x y^{4}$
162647	Solve the Inequality for g	2g-7<=5g-1	$2 g - 7 \leq 5 g - 1$
162648	Solve for x	12+ square root of 1-5x=18	$12 + \sqrt{1 - 5 x} = 18$
162649	Solve the Inequality for d	9d-7<=d+2	$9 d - 7 \leq d + 2$
162650	Solve for k	log base 3 of k^2-23 = log base 3 of 4k-2	$\log_{3} (k^{2} - 23) = \log_{3} (4 k - 2)$
162651	Evaluate	sin(theta)=( square root of 2)/2	$\sin (θ) = \frac{\sqrt{2}}{2}$
162652	Solve for m	square root of m+55+1=m	$\sqrt{m + 55} + 1 = m$
162653	Multiply	-1/3*-2	$- \frac{1}{3} \cdot - 2$
162654	Simplify	8x^3y^3(10x^5)	$8 x^{3} y^{3} (10 x^{5})$
162655	Solve the Inequality for h	9h-2<=10h-5	$9 h - 2 \leq 10 h - 5$
162656	Solve for p	3(p+q)=p	$3 (p + q) = p$
162657	Solve for g	(3-2g)(7-g)=0	$(3 - 2 g) (7 - g) = 0$
162658	Solve Using the Quadratic Formula	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
162659	Factor	(x^3+1)	$(x^{3} + 1)$
162660	Factor	x^2+xy^3	$x^{2} + x y^{3}$
162661	Solve for N	(-N)/5=-5	$\frac{- N}{5} = - 5$
162662	Simplify	(6 square root of 22a^2)(4 square root of 2a^6)	$(6 \sqrt{22 a^{2}}) (4 \sqrt{2 a^{6}})$
162663	Factor	xy^4+x^3y^4	$x y^{4} + x^{3} y^{4}$
162664	Solve the Inequality for m	-3m+3<=8m-7	$- 3 m + 3 \leq 8 m - 7$
162665	Divide	(3x^4-6x^2-x)/x	$\frac{3 x^{4} - 6 x^{2} - x}{x}$
162666	Simplify	(x+5)/(x^2-2x-15)-1/(x-5)	$\frac{x + 5}{x^{2} - 2 x - 15} - \frac{1}{x - 5}$
162667	Simplify	3(x+y)^2	$3 {(x + y)}^{2}$
162668	Simplify	13/(2x)-5/x	$\frac{13}{2 x} - \frac{5}{x}$
162669	Solve the Inequality for x	2x^2+5x-3<0	$2 x^{2} + 5 x - 3 < 0$
162670	Solve the Inequality for x	((x+5)(x-7))/(x+3)<=0	$\frac{(x + 5) (x - 7)}{x + 3} \leq 0$
162671	Find the Holes in the Graph	f(x)=(3x^2-15x)/(4x^2+4x)	$f (x) = \frac{3 x^{2} - 15 x}{4 x^{2} + 4 x}$
162672	Solve the Inequality for s	2s-5>6s-6	$2 s - 5 > 6 s - 6$
162673	Write in Standard Form	-10-9x^2+x	$- 10 - 9 x^{2} + x$
162674	Solve for x	-2+2=-3(x-4)	$- 2 + 2 = - 3 (x - 4)$
162675	Simplify the Radical Expression	square root of 16	$\sqrt{16}$
162676	Divide	(8-x-6x^2+x^3)÷(x^2-7x+6)	$(8 - x - 6 x^{2} + x^{3}) \div (x^{2} - 7 x + 6)$
162677	Solve the Inequality for x	x^2-9>=0	$x^{2} - 9 \geq 0$
162678	Solve the Inequality for w	6w+7>=10w+2	$6 w + 7 \geq 10 w + 2$
162679	Factor	y+x^2y^5	$y + x^{2} y^{5}$
162680	Evaluate	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
162681	Solve the Inequality for z	5z+6<=-7z+7	$5 z + 6 \leq - 7 z + 7$
162682	Find the Holes in the Graph	f(x)=(x^2-5x)/(2x^2+7x)	$f (x) = \frac{x^{2} - 5 x}{2 x^{2} + 7 x}$
162683	Solve for x	5x-2x-4=x+7-5	$5 x - 2 x - 4 = x + 7 - 5$
162684	Solve for t	(t+9)/(t+4)=5	$\frac{t + 9}{t + 4} = 5$
162685	Write in Standard Form	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
162686	Solve for x	(3x)/(x-3)=(2x+3)/(x-3)	$\frac{3 x}{x - 3} = \frac{2 x + 3}{x - 3}$
162687	Write in Standard Form	y=4	$y = 4$
162688	Solve the Inequality for c	8c-6<=-5c-3	$8 c - 6 \leq - 5 c - 3$
162689	Solve the Inequality for x	7>x/4	$7 > \frac{x}{4}$
162690	Solve the Inequality for x	2x-3<=4x+3<2x+5	$2 x - 3 \leq 4 x + 3 < 2 x + 5$
162691	Divide	(x^3+x^2-x)÷(x-1)	$(x^{3} + x^{2} - x) \div (x - 1)$
162692	Solve the Inequality for x	(4x-1)/x>0	$\frac{4 x - 1}{x} > 0$
162693	Solve the System of Equations	-3x-3y=3 y=-5x-17	$- 3 x - 3 y = 3$ $y = - 5 x - 17$
162694	Solve for t	16-2t=5t+9	$16 - 2 t = 5 t + 9$
162695	Solve the System of Inequalities	4x-39>-43 and 8x+31<23	$4 x - 39 > - 43$ and $8 x + 31 < 23$
162696	Find the Perfect Square Trinomial	b^2-4ac	$b^{2} - 4 a c$
162697	Write in Slope-Intercept Form	(-6,-5) , (-4,-4)	$(- 6, - 5)$ , $(- 4, - 4)$
162698	Write in Standard Form	square root of -36	$\sqrt{- 36}$
162699	Solve for x	4^2+4^2=x^2	$4^{2} + 4^{2} = x^{2}$
162700	Solve the Inequality for s	s-8>9s+8	$s - 8 > 9 s + 8$