Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192701	Solve the Inequality for x	x-6<=15+8x	$x - 6 \leq 15 + 8 x$
192702	Solve for p	p-9÷(1/3)=6	$p - 9 \div \frac{1}{3} = 6$
192703	Solve the Inequality for x	(x+5)^2(x+3)(x-1)>0	${(x + 5)}^{2} (x + 3) (x - 1) > 0$
192704	Divide	(-2/3)÷0 , 4	$- \frac{2}{3} \div 0$ , $4$
192705	Find the Exact Value	5/6+1/3	$\frac{5}{6} + \frac{1}{3}$
192706	Solve for x	(x^2-16)(4x^2-81)=0	$(x^{2} - 16) (4 x^{2} - 81) = 0$
192707	Solve the Absolute Value Inequality for m	\|m-2\|<8	$\| m - 2 \| < 8$
192708	Solve the System of Equations	-x+y+z=-1 x+y-2z=7 4x-2y+2z=-4	$- x + y + z = - 1$ $x + y - 2 z = 7$ $4 x - 2 y + 2 z = - 4$
192709	Find g(f(x))	f(x)=2x-5 and g(x)=x^2-2	$f (x) = 2 x - 5$ and $g (x) = x^{2} - 2$
192710	Evaluate	-5 1/2+6 3/4+(-4 1/4)	$- 5 \frac{1}{2} + 6 \frac{3}{4} + (- 4 \frac{1}{4})$
192711	Simplify	3-17-9a+2a	$3 - 17 - 9 a + 2 a$
192712	Evaluate	(5+(-1))/2	$\frac{5 + (- 1)}{2}$
192713	Solve for r	44r-31r-12=14	$44 r - 31 r - 12 = 14$
192714	Divide	(x^2)÷2x	$x^{2} \div 2 x$
192715	Graph	x<=-2 or x>=3	$x \leq - 2$ or $x \geq 3$
192716	Graph	y=x-3 y=-3/5x+5	$y = x - 3$ $y = - \frac{3}{5} x + 5$
192717	Simplify	(x+2)-(x^2-4)	$(x + 2) - (x^{2} - 4)$
192718	Solve the Inequality for g	g-28<=1	$g - 28 \leq 1$
192719	Graph	y=-1/2(x+2)^2	$y = - \frac{1}{2} {(x + 2)}^{2}$
192720	Graph	f(x)=x-1 if -2<=x<0; 1 if x=0; 3 if 0<x<=2	$f (x) = {\begin{cases} x - 1 & - 2 \leq x < 0 \\ 1 & x = 0 \\ 3 & 0 < x \leq 2 \end{cases}$
192721	Find the x and y Intercepts	f(x)=(x^2-18x+81)/(x^2-9x)	$f (x) = \frac{x^{2} - 18 x + 81}{x^{2} - 9 x}$
192722	Solve for h	m=2ha+2ht	$m = 2 h a + 2 h t$
192723	Solve by Addition/Elimination	-5/7-11/7x=-y 2y=7+5x	$- \frac{5}{7} - \frac{11}{7} x = - y$ $2 y = 7 + 5 x$
192724	Convert to Interval Notation	2x^2+x-6<=0	$2 x^{2} + x - 6 \leq 0$
192725	Solve for x	(-x)/15=4/(-15x)	$\frac{- x}{15} = \frac{4}{- 15 x}$
192726	Multiply	1/21/21/21/21/21/21/21/21/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
192727	Solve for x	(3x-21)^(1/3)=(19-x)^(1/3)	${(3 x - 21)}^{\frac{1}{3}} = {(19 - x)}^{\frac{1}{3}}$
192728	Graph	y=x^2+3,x>4; x+4,x<=4	$y = {\begin{cases} x^{2} + 3, x > 4 \\ x + 4, x \leq 4 \end{cases}$
192729	Evaluate Using the Given Value	6q+m-m ; use m=8 ; and q=3	$6 q + m - m$ ; use $m = 8$ ; and $q = 3$
192730	Solve for z	8z+7<3z-4	$8 z + 7 < 3 z - 4$
192731	Find the x and y Intercepts	f(x)=[x]	$f (x) = [x]$
192732	Evaluate	1/3*pi	$\frac{1}{3} \cdot π$
192733	Write the Fraction in Simplest Form	(7p-7p)/p*(2p^2)/(8p-8)	$\frac{7 p - 7 p}{p} \cdot \frac{2 p^{2}}{8 p - 8}$
192734	Find the Inverse	y = square root of 1-x^3	$y = \sqrt{1 - x^{3}}$
192735	Solve the Inequality for x	3x^2+6x-45<=0	$3 x^{2} + 6 x - 45 \leq 0$
192736	Graph	cos(theta)>0 , cot(theta)<0	$\cos (θ) > 0$ , $\cot (θ) < 0$
192737	Solve for x	5/4x-3/2(5x+5)=-(8x+3/2)	$\frac{5}{4} x - \frac{3}{2} (5 x + 5) = - (8 x + \frac{3}{2})$
192738	Graph	h(x)=-f(1/2(x+1))+2	$h (x) = - f (\frac{1}{2} (x + 1)) + 2$
192739	Solve for x	7/5x=1/2(6x-4)-3/2x	$\frac{7}{5} x = \frac{1}{2} (6 x - 4) - \frac{3}{2} x$
192740	Subtract	2/(x^2-49)-7/(x-7)	$\frac{2}{x^{2} - 49} - \frac{7}{x - 7}$
192741	Identify the Zeros and Their Multiplicities	f(x)=(x+3)(x+1)^2(x-1)	$f (x) = (x + 3) {(x + 1)}^{2} (x - 1)$
192742	Solve the System of Equations	1/5x-1/4y=-6 -3/4x+1/2y=-2	$\frac{1}{5} x - \frac{1}{4} y = - 6$ $- \frac{3}{4} x + \frac{1}{2} y = - 2$
192743	Simplify	1/( square root of x^5)	$\frac{1}{\sqrt{x^{5}}}$
192744	Find the End Behavior	f(x)=36x^2+210x+392+2x^3	$f (x) = 36 x^{2} + 210 x + 392 + 2 x^{3}$
192745	Simplify the Radical Expression	x square root of x^5	$x \sqrt{x^{5}}$
192746	Find the Exact Value	limit as x approaches pi/4 of (cos(2x))/(sin(x)-cos(x))	$lim_{x \to \frac{π}{4}} \frac{\cos (2 x)}{\sin (x) - \cos (x)}$
192747	Solve for x	2x(x^2-49)(100x^2-81)=0	$2 x (x^{2} - 49) (100 x^{2} - 81) = 0$
192748	Evaluate	x+2=5	$x + 2 = 5$
192749	Solve for k	k/4=-17/2	$\frac{k}{4} = - \frac{17}{2}$
192750	Solve for x	\|3-x\|>=2	$\| 3 - x \| \geq 2$
192751	Simplify	((6x^2-6)/(8x^2+8x))/((3-3x)/(4x^2+4x))	$\frac{\frac{6 x^{2} - 6}{8 x^{2} + 8 x}}{\frac{3 - 3 x}{4 x^{2} + 4 x}}$
192752	Evaluate	(2(3+5)+6)4	$(2 \times (3 + 5) + 6) \times 4$
192753	Subtract	5/8-(-7/8)	$\frac{5}{8} - (- \frac{7}{8})$
192754	Solve the System of Equations	y-x=4 y=(x^2+2x-8)/4	$y - x = 4$ $y = \frac{x^{2} + 2 x - 8}{4}$
192755	Convert to Interval Notation	x+1>=3 or 4/3x<-8	$x + 1 \geq 3$ or $\frac{4}{3} x < - 8$
192756	Subtract	3/(x^2-49)-9/(x^2-14x+49)	$\frac{3}{x^{2} - 49} - \frac{9}{x^{2} - 14 x + 49}$
192757	Subtract	9/4-9/2	$\frac{9}{4} - \frac{9}{2}$
192758	Solve for r	P=r+s-5	$P = r + s - 5$
192759	Find the Domain and Range	f(x)=1/x+5/(x-3)	$f (x) = \frac{1}{x} + \frac{5}{x - 3}$
192760	Find the Roots (Zeros)	2x^3+x^2-7x-6=0	$2 x^{3} + x^{2} - 7 x - 6 = 0$
192761	Simplify	-2+8x-3-X	$- 2 + 8 x - 3 - X$
192762	Evaluate	cube root of 2-1	$\sqrt[3]{2 - 1}$
192763	Solve by Completing the Square	-6x^2-586=84x-4	$- 6 x^{2} - 586 = 84 x - 4$
192764	Find the Degree	(x-2)(x+2)(x-4)=0	$(x - 2) (x + 2) (x - 4) = 0$
192765	Simplify	(-5a^2b)(2ab^2c)(-3b)	$(- 5 a^{2} b) (2 a b^{2} c) (- 3 b)$
192766	Solve for y	4/y-5=5/(2y)	$\frac{4}{y} - 5 = \frac{5}{2 y}$
192767	Solve the System of Equations	-2x-3y+z=-6 x+y-z=5 7x+8y-6z=31	$- 2 x - 3 y + z = - 6$ $x + y - z = 5$ $7 x + 8 y - 6 z = 31$
192768	Solve for x	square root of 4x-13=5	$\sqrt{4 x} - 13 = 5$
192769	Solve Using the Quadratic Formula	x^2-bx+100	$x^{2} - b x + 100$
192770	Graph	x-4>=-1	$x - 4 \geq - 1$
192771	Write in Standard Form	(x-3)(x-2)^2=0	$(x - 3) {(x - 2)}^{2} = 0$
192772	Graph	\|2x+3\|>=19	$\| 2 x + 3 \| \geq 19$
192773	Solve for m	5(1+2m)=12(8+20m)	$5 (1 + 2 m) = 12 (8 + 20 m)$
192774	Simplify	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
192775	Simplify	(5 cube root of x)(2 fourth root of x)	$(5 \sqrt[3]{x}) (2 \sqrt[4]{x})$
192776	Simplify	-7/8+(-1/2)	$- \frac{7}{8} + (- \frac{1}{2})$
192777	Solve for x	square root of 1-x< square root of 2x+6	$\sqrt{1 - x} < \sqrt{2 x + 6}$
192778	Solve for x	square root of x+12+2 = square root of 3x-8	$\sqrt{x + 12} + 2 = \sqrt{3 x - 8}$
192779	Simplify	((pq)/(p^2-q^2)+q/(q-p))÷(p-q+(4q^2-p^2)/(p+q))	$(\frac{p q}{p^{2} - q^{2}} + \frac{q}{q - p}) \div (p - q + \frac{4 q^{2} - p^{2}}{p + q})$
192780	Evaluate	(g(x+h)-g(x))/h	$\frac{g (x + h) - g (x)}{h}$
192781	Write in Standard Form	(-3 square root of -81)(-5+ square root of -9)+9i	$(- 3 \sqrt{- 81}) (- 5 + \sqrt{- 9}) + 9 i$
192782	Solve for x	7/(x-4)+(x+2)/(x+1)=5/(x^2-3x-4)	$\frac{7}{x - 4} + \frac{x + 2}{x + 1} = \frac{5}{x^{2} - 3 x - 4}$
192783	Solve for a	((x^5)^(1/4))/( fourth root of x)=x^a	$\frac{{(x^{5})}^{\frac{1}{4}}}{\sqrt[4]{x}} = x^{a}$
192784	Simplify	(3x^3+5x^2)/(12x^2+20x)	$\frac{3 x^{3} + 5 x^{2}}{12 x^{2} + 20 x}$
192785	Convert to Interval Notation	9y+5(y+3)<4y-35	$9 y + 5 (y + 3) < 4 y - 35$
192786	Subtract	(4x^3-3x^2+5)-(x^3+2x^2+x)	$(4 x^{3} - 3 x^{2} + 5) - (x^{3} + 2 x^{2} + x)$
192787	Graph	(-1,1/2)	$(- 1, \frac{1}{2})$
192788	Find the End Behavior	f(x)=-3/4x(3x-2)(2x+7)(x+5)(x-1)	$f (x) = - \frac{3}{4} x (3 x - 2) (2 x + 7) (x + 5) (x - 1)$
192789	Graph	f(x)=\|4-x\|	$f (x) = \| 4 - x \|$
192790	Simplify	-(2x)/(a^-4)	$- \frac{2 x}{a^{- 4}}$
192791	Simplify	((x^2)/2-2)/((x+7)/10+1/x)	$\frac{\frac{x^{2}}{2} - 2}{\frac{x + 7}{10} + \frac{1}{x}}$
192792	Simplify	6/(y^2-xy)-6/(x^2-xy)	$\frac{6}{y^{2} - x y} - \frac{6}{x^{2} - x y}$
192793	Combine Like Terms	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
192794	Evaluate	(-2x^2-4x+2)-(-6x+2)	$(- 2 x^{2} - 4 x + 2) - (- 6 x + 2)$
192795	Evaluate	(x+y)(x+y)	$(x + y) (x + y)$
192796	Find the Holes in the Graph	(2x+9)/(4x-9)	$\frac{2 x + 9}{4 x - 9}$
192797	Find the Exact Value	log base square root of 7 of 49	$\log_{\sqrt{7}} (49)$
192798	Subtract	x/(x-7)-(x^2)/(x^2-8x+7)	$\frac{x}{x - 7} - \frac{x^{2}}{x^{2} - 8 x + 7}$
192799	Solve for x	10=10-2/3x	$10 = 10 - \frac{2}{3} x$
192800	Graph Using a Table of Values	f(x)=1/3x	$f (x) = \frac{1}{3} x$