Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189701	Solve for x	2+ square root of 12-2x=x	$2 + \sqrt{12 - 2 x} = x$
189702	Graph	y=1/2\|x\|-3	$y = \frac{1}{2} \| x \| - 3$
189703	Solve for k	8=-12+k/-4	$8 = - 12 + \frac{k}{- 4}$
189704	Solve for x	-2(2x-2)+5>-5x-6	$- 2 (2 x - 2) + 5 > - 5 x - 6$
189705	Find the Exact Value	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)}$
189706	Subtract	-2/3-5/6	$- \frac{2}{3} - \frac{5}{6}$
189707	Find the Parallel Line	(-7,-2) which is parallel to the line y=2x-3	$(- 7, - 2)$ which is parallel to the line $y = 2 x - 3$
189708	Simplify	((x-8)/(10x^3+70x^2))÷(1/(x+7))	$\frac{x - 8}{10 x^{3} + 70 x^{2}} \div \frac{1}{x + 7}$
189709	Solve for x	x^2-5x=-9/4	$x^{2} - 5 x = - \frac{9}{4}$
189710	Find the Exact Value	-2^2-5^2+6^2	$- 2^{2} - 5^{2} + 6^{2}$
189711	Graph	y=(-x)^2-2	$y = {(- x)}^{2} - 2$
189712	Graph Using a Table of Values	f(x)=(x^2-4x+4)/(x^3-4x^2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{3} - 4 x^{2}}$
189713	Solve for x	2x+y=5x-6	$2 x + y = 5 x - 6$
189714	Solve for x	x/5+2/3=x/9	$\frac{x}{5} + \frac{2}{3} = \frac{x}{9}$
189715	Graph Using a Table of Values	y=x^5	$y = x^{5}$
189716	Solve for k	-144pi=-12pik	$- 144 π = - 12 π k$
189717	Evaluate	10-4 square root of 1/16	$10 - 4 \sqrt{\frac{1}{16}}$
189718	Solve the System of Inequalities	24>-3r>-9	$24 > - 3 r > - 9$
189719	Solve for θ	tan(theta)^2=1	$\tan^{2} (θ) = 1$
189720	Write in Standard Form	(510^3)(9*10^7)	$(5 \cdot 10^{3}) \cdot (9 \cdot 10^{7})$
189721	Solve the System of Equations	-x+y+4z=10 x+3y+2z=4 2x+2y-3z=-7	$- x + y + 4 z = 10$ $x + 3 y + 2 z = 4$ $2 x + 2 y - 3 z = - 7$
189722	Solve for k	5/6k+2/3=4/3	$\frac{5}{6} k + \frac{2}{3} = \frac{4}{3}$
189723	Graph	F(x)=1/((x+5)(x-2))	$F (x) = \frac{1}{(x + 5) (x - 2)}$
189724	Solve for x	8x+1=(3x+1)/5	$8 x + 1 = \frac{3 x + 1}{5}$
189725	Simplify	((2x+1)/x)/((4-x)/x)	$\frac{\frac{2 x + 1}{x}}{\frac{4 - x}{x}}$
189726	Solve for p	15-8p+6.75p=10	$15 - 8 p + 6.75 p = 10$
189727	Solve for x	(3x-7)/2-(x+2)/3=x-6	$\frac{3 x - 7}{2} - \frac{x + 2}{3} = x - 6$
189728	Evaluate	-1^2+3^2+-1-3	$- 1^{2} + 3^{2} + - 1 - 3$
189729	Simplify	(2^-4)/(4^0)	$\frac{2^{- 4}}{4^{0}}$
189730	Determine if Parallel	y=(8x)/3+2 -32x+12y=3	$y = \frac{8 x}{3} + 2$ $- 32 x + 12 y = 3$
189731	Solve for b	7b+4=5b	$7 b + 4 = 5 b$
189732	Find the Roots (Zeros)	15x^2-5x+6=9x^2	$15 x^{2} - 5 x + 6 = 9 x^{2}$
189733	Simplify	limit as x approaches 3 of (x^3-27)/(x-3)	$lim_{x \to 3} \frac{x^{3} - 27}{x - 3}$
189734	Solve for a	7a-8b=10x	$7 a - 8 b = 10 x$
189735	Find the GCF	b	$b$
189736	Simplify	cube root of (54w^6)/(2w^3v^-3)	$\sqrt[3]{\frac{54 w^{6}}{2 w^{3} v^{- 3}}}$
189737	Solve for θ	csc(theta)=1	$\csc (θ) = 1$
189738	Solve for x	4-2(x+7)=3(x+5)	$4 - 2 (x + 7) = 3 (x + 5)$
189739	Solve for m	6/m+2=(m+3)/(m-1)	$\frac{6}{m} + 2 = \frac{m + 3}{m - 1}$
189740	Solve the Absolute Value Inequality for a	(\|6a+3\|)/3>2	$\frac{\| 6 a + 3 \|}{3} > 2$
189741	Find All Complex Solutions	5cos(x)=-2sin(x)^2+4	$5 \cos (x) = - 2 \sin^{2} (x) + 4$
189742	Simplify the Radical Expression	7 square root of 96m^3	$7 \sqrt{96 m^{3}}$
189743	Simplify	(1/(b^2)+a^2)/(1/(a^2)+b^2)	$\frac{\frac{1}{b^{2}} + a^{2}}{\frac{1}{a^{2}} + b^{2}}$
189744	Simplify	(x^2+x-6)/(x^2+6x+9)	$\frac{x^{2} + x - 6}{x^{2} + 6 x + 9}$
189745	Convert to Polar	x^2+y^2=4y	$x^{2} + y^{2} = 4 y$
189746	Evaluate	(8(2)-4^2)+7(4)	$(8 (2) - 4^{2}) + 7 (4)$
189747	Graph	f(x)=-1 if -1<=x<0; -2 if 0<=x<1; -3 if 1<=x<2	$f (x) = {\begin{cases} - 1 & - 1 \leq x < 0 \\ - 2 & 0 \leq x < 1 \\ - 3 & 1 \leq x < 2 \end{cases}$
189748	Find the x and y Intercepts	f(x)=(9x^2+12x)/(6x+8)	$f (x) = \frac{9 x^{2} + 12 x}{6 x + 8}$
189749	Solve for x	3/(x+4)+7/(x-4)=(x+3)/(x-4)	$\frac{3}{x + 4} + \frac{7}{x - 4} = \frac{x + 3}{x - 4}$
189750	Solve for x	5x+5=3(5x-4)-10x	$5 x + 5 = 3 (5 x - 4) - 10 x$
189751	Solve for x	3\|1/2x+2\|>6	$3 \| \frac{1}{2} x + 2 \| > 6$
189752	Solve for m	square root of 2m-6-16=0	$\sqrt{2 m - 6} - 16 = 0$
189753	Simplify	(- square root of 3)/3	$\frac{- \sqrt{3}}{3}$
189754	Write as a Single Logarithm	(2 log of 7)/3	$\frac{2 \log (7)}{3}$
189755	Find the x and y Intercepts	y=x square root of x+3	$y = x \sqrt{x + 3}$
189756	Solve for d	3/4d-1/2=3/8+1/2d	$\frac{3}{4} d - \frac{1}{2} = \frac{3}{8} + \frac{1}{2} d$
189757	Solve for θ	4sec(theta)+6=-2	$4 \sec (θ) + 6 = - 2$
189758	Solve the Absolute Value Inequality for x	4\|x+7\|+5>17	$4 \| x + 7 \| + 5 > 17$
189759	Evaluate Using the Given Value	9/g+2h+5 when g=3 and h=6	$\frac{9}{g} + 2 h + 5$ when $g = 3$ and $h = 6$
189760	Multiply	(a+b+c)(a+b-c)	$(a + b + c) (a + b - c)$
189761	Evaluate	4(4÷2+4)	$4 (4 \div 2 + 4)$
189762	Solve the Inequality for x	(7x)/3<2	$\frac{7 x}{3} < 2$
189763	Find the Product	fifth root of 4x^2* fifth root of 4x^2	$\sqrt[5]{4 x^{2}} \cdot \sqrt[5]{4 x^{2}}$
189764	Simplify	5a-6b+8c+9a-20c-b+6b-c	$5 a - 6 b + 8 c + 9 a - 20 c - b + 6 b - c$
189765	Solve the System of Equations	2x=16-8y x+4y=25	$2 x = 16 - 8 y$ $x + 4 y = 25$
189766	Divide	(14a^3b^4)/(-2ab^2)	$\frac{14 a^{3} b^{4}}{- 2 a b^{2}}$
189767	Solve for x	-x=1-1/2(-6x+1)-3/2x	$- x = 1 - \frac{1}{2} (- 6 x + 1) - \frac{3}{2} x$
189768	Simplify	x^2 square root of 8y^2	$x^{2} \sqrt{8 y^{2}}$
189769	Find the Vertex Form	f(x)=8x-x^2+3	$f (x) = 8 x - x^{2} + 3$
189770	Solve for x	4/3x-4=5+x	$\frac{4}{3} x - 4 = 5 + x$
189771	Evaluate	x^2+y^2=16	$x^{2} + y^{2} = 16$
189772	Solve for a	x^(1/6)x^(5/6)=x^a	$x^{\frac{1}{6}} x^{\frac{5}{6}} = x^{a}$
189773	Simplify	cos(x)^2sec(x)^2-cos(x)^2	$\cos^{2} (x) \sec^{2} (x) - \cos^{2} (x)$
189774	Solve the System of Equations	2x+2y+3z=4 5x+3y+5z=5 3x+4y+6z=5	$2 x + 2 y + 3 z = 4$ $5 x + 3 y + 5 z = 5$ $3 x + 4 y + 6 z = 5$
189775	Write the Fraction in Simplest Form	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
189776	Graph	-9x>=-90	$- 9 x \geq - 90$
189777	Simplify	-3mn(m^2n^3+2mn)	$- 3 m n (m^{2} n^{3} + 2 m n)$
189778	Solve the Inequality for c	c-5<=6	$c - 5 \leq 6$
189779	Solve for x	v^2=v_0^2+2a(x-x_0)	$v^{2} = {v_{0}}^{2} + 2 a (x - x_{0})$
189780	Solve for f	-10f+1>-f-5	$- 10 f + 1 > - f - 5$
189781	Find the x and y Intercepts	f(x)=(5x^2-43x-70)/(x^2+8x)	$f (x) = \frac{5 x^{2} - 43 x - 70}{x^{2} + 8 x}$
189782	Solve for x	2+ square root of x+10=x	$2 + \sqrt{x + 10} = x$
189783	Simplify	2x^3y^5*5xy^2	$2 x^{3} y^{5} \cdot 5 x y^{2}$
189784	Solve the Absolute Value Inequality for z	2\|z+1\|-3=z-2	$2 \| z + 1 \| - 3 = z - 2$
189785	Simplify	-x<-29	$- x < - 29$
189786	Simplify	1/4-1/3	$\frac{1}{4} - \frac{1}{3}$
189787	Find the End Behavior	y=(x-2)(x+3)^2(x+1)^3	$y = (x - 2) {(x + 3)}^{2} {(x + 1)}^{3}$
189788	Solve for a	2/(a-2)=(3a-1)/(2a+11)	$\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}$
189789	Solve for x	x/2+1/3<=0	$\frac{x}{2} + \frac{1}{3} \leq 0$
189790	Simplify	-8(7i-3i^2)	$- 8 (7 i - 3 i^{2})$
189791	Factor	f(x)=-x^5+52x^3+2x^2-147x-98	$f (x) = - x^{5} + 52 x^{3} + 2 x^{2} - 147 x - 98$
189792	Solve for x	3(x+5)-2(x+2)=20	$3 (x + 5) - 2 (x + 2) = 20$
189793	Combine Like Terms	5p+3p+(-9)	$5 p + 3 p + (- 9)$
189794	Graph	y<\|x+1\|	$y < \| x + 1 \|$
189795	Solve for y	4y-1/2=-1/2y+1/4	$4 y - \frac{1}{2} = - \frac{1}{2} y + \frac{1}{4}$
189796	Solve for y	w=6+(3xy)/75	$w = 6 + \frac{3 x y}{75}$
189797	Describe the Transformation	g(x)=2-(x+5)^2	$g (x) = 2 - {(x + 5)}^{2}$
189798	Solve for q	9q^2-60q+100=20	$9 q^{2} - 60 q + 100 = 20$
189799	Find the Product	(6x^2)(4x^2)	$(6 x^{2}) (4 x^{2})$
189800	Solve for x	1/2(-x+8)-9x=-6+5/2(-x+6)	$\frac{1}{2} (- x + 8) - 9 x = - 6 + \frac{5}{2} (- x + 6)$