Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234101	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-1) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 2, - 1)$ and has a slope of $1$ ?
234102	Simplify	1/( square root of x^2-4)	$\frac{1}{\sqrt{x^{2} - 4}}$
234103	Solve the Inequality for x	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
234104	Write in Slope-Intercept Form	y+2x>3	$y + 2 x > 3$
234105	Evaluate	(7+\|-8-5^2\|)/((1-4)^3+17)	$\frac{7 + \| - 8 - 5^{2} \|}{{(1 - 4)}^{3} + 17}$
234106	Convert to a Decimal	-630deg	$- 630$ degrees
234107	Solve the Absolute Value Inequality for x	3-5\|10-4x\|=-57	$3 - 5 \| 10 - 4 x \| = - 57$
234108	Simplify	(3n^3-5n+n^2)-(-8n^2+3n^3)	$(3 n^{3} - 5 n + n^{2}) - (- 8 n^{2} + 3 n^{3})$
234109	Solve the Inequality for x	6x^2+4x+4<-x+8	$6 x^{2} + 4 x + 4 < - x + 8$
234110	Evaluate	-3 3/4+1/2	$- 3 \frac{3}{4} + \frac{1}{2}$
234111	Solve for x	2x^2=x+3	$2 x^{2} = x + 3$
234112	Combine Like Terms	3/4x-7.3+5/4x+21.3	$\frac{3}{4} x - 7.3 + \frac{5}{4} x + 21.3$
234113	Solve the Rational Equation for x	4x^(3/2)=32	$4 x^{\frac{3}{2}} = 32$
234114	Find Where Undefined/Discontinuous	f(x)=(x-2)/(\|x-1\|)	$f (x) = \frac{x - 2}{\| x - 1 \|}$
234115	Simplify	-5/(2 square root of 5)	$- \frac{5}{2 \sqrt{5}}$
234116	Simplify	( square root of 5+x)/( square root of 5+ square root of x)	$\frac{\sqrt{5 + x}}{\sqrt{5} + \sqrt{x}}$
234117	Solve for x	f(-x)=3x^2+2x-2	$f (- x) = 3 x^{2} + 2 x - 2$
234118	Simplify	(x-b)^5+(b-a)^5	${(x - b)}^{5} + {(b - a)}^{5}$
234119	Find the Product	(x-y)(2x-y)	$(x - y) (2 x - y)$
234120	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(2x+2)(5x-2)(x+3)	$p (x) = (2 x + 2) (5 x - 2) (x + 3)$
234121	Simplify	(8^(5/2))/(8^(1/2))	$\frac{8^{\frac{5}{2}}}{8^{\frac{1}{2}}}$
234122	Find the x and y Intercepts	f(x)=(x+2)(x-1)(x-(4+3i))(x-(4-3i))	$f (x) = (x + 2) (x - 1) (x - (4 + 3 i)) (x - (4 - 3 i))$
234123	Round to the Nearest Hundredth	2/9	$\frac{2}{9}$
234124	Find the Domain of the Composition f(g(x))	f(x)=6/(x+8) , g(x)=x+1	$f (x) = \frac{6}{x + 8}$ , $g (x) = x + 1$
234125	Simplify the Radical Expression	2/(3 square root of 5)	$\frac{2}{3 \sqrt{5}}$
234126	Solve for x	(6x-9)/3=x/9	$\frac{6 x - 9}{3} = \frac{x}{9}$
234127	Simplify	(1+x square root of 2)^2	${(1 + x \sqrt{2})}^{2}$
234128	Simplify the Radical Expression	i^23	$i^{23}$
234129	Simplify	3 square root of 12ab^2+3b square root of 75a-3 square root of 27ab^2	$3 \sqrt{12 a b^{2}} + 3 b \sqrt{75 a} - 3 \sqrt{27 a b^{2}}$
234130	Find the Exact Value	(43+7^2)/(2^2)	$\frac{(43 + 7^{2})}{2^{2}}$
234131	Solve for x	log base 2 of x+3+ log base 4 of 5-x=3	$\log_{2} (x + 3) + \log_{4} (5 - x) = 3$
234132	Simplify	((a^2-4ab+4b^2)/(a^2+2ab))((a^2)/(a^2-4b^2))	$(\frac{a^{2} - 4 a b + 4 b^{2}}{a^{2} + 2 a b}) (\frac{a^{2}}{a^{2} - 4 b^{2}})$
234133	Simplify	2x cube root of 8x^5+x^2 cube root of 27x^2	$2 x \sqrt[3]{8 x^{5}} + x^{2} \sqrt[3]{27 x^{2}}$
234134	Simplify	(x^5y^8)^5(4xy)	${(x^{5} y^{8})}^{5} (4 x y)$
234135	Solve for x	6/5=2/(5x)	$\frac{6}{5} = \frac{2}{5 x}$
234136	Write with Rational (Fractional) Exponents	seventh root of x^-6	$\sqrt[7]{x^{- 6}}$
234137	Factor by Grouping	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$
234138	Evaluate	25% of 8	$25 %$ of $8$
234139	Simplify	(8b+y)/(40b)-(6y+b)/(30y)	$\frac{8 b + y}{40 b} - \frac{6 y + b}{30 y}$
234140	Solve Using the Quadratic Formula	8x+5=36x^2	$8 x + 5 = 36 x^{2}$
234141	Simplify	square root of 5x^3* square root of 12x^6	$\sqrt{5 x^{3}} \cdot \sqrt{12 x^{6}}$
234142	Evaluate	5(2c-3)=3(3c-5)	$5 (2 c - 3) = 3 (3 c - 5)$
234143	Simplify	2x^3y^-7*3x^-2y^2	$2 x^{3} y^{- 7} \cdot 3 x^{- 2} y^{2}$
234144	Factor	343n+125nz^3	$343 n + 125 n z^{3}$
234145	Simplify the Radical Expression	( square root of 15)/( square root of 3)	$\frac{\sqrt{15}}{\sqrt{3}}$
234146	Find the Excluded Values	40/(x-4)+7=3/(x-4)	$\frac{40}{x - 4} + 7 = \frac{3}{x - 4}$
234147	Solve by Addition/Elimination	11x-20y=28 and 3x+4y=36	$11 x - 20 y = 28$ and $3 x + 4 y = 36$
234148	Solve the Inequality for m	-(2+2m)-2>6	$- (2 + 2 m) - 2 > 6$
234149	Simplify	(6m)/(5a)*(15a)/(2m)	$\frac{6 m}{5 a} \cdot \frac{15 a}{2 m}$
234150	Solve the Rational Equation for x	(x-2)^(2/3)=16	${(x - 2)}^{\frac{2}{3}} = 16$
234151	Solve for x	square root of x- square root of x-5=2	$\sqrt{x} - \sqrt{x - 5} = 2$
234152	Evaluate	(x*y)^-3	${(x \cdot y)}^{- 3}$
234153	Graph	y = square root of 1/3x	$y = \sqrt{\frac{1}{3}} x$
234154	Solve the Rational Equation for k	square root of -3-k=2	$\sqrt{- 3 - k} = 2$
234155	Multiply	(x^2+4x-21)*(x-3)	$(x^{2} + 4 x - 21) \cdot (x - 3)$
234156	Solve the Inequality for x	3x=15	$3 x = 15$
234157	Graph	x\|x\|>=0	$x \| x \| \geq 0$
234158	Simplify	(5s^5+7s^4+7s+3)+(7s^5-7s^4)	$(5 s^{5} + 7 s^{4} + 7 s + 3) + (7 s^{5} - 7 s^{4})$
234159	Solve for n	n=3 , a=-216	$n = 3$ , $a = - 216$
234160	Evaluate Using the Given Value	n^2-m ; use m=7 ; and n=8	$n^{2} - m$ ; use $m = 7$ ; and $n = 8$
234161	Solve for x	log base 5 of 125- log base 5 of square root of 5 = log base 5 of x	$\log_{5} (125) - \log_{5} (\sqrt{5}) = \log_{5} (x)$
234162	Find the Exact Value	(3^-4)/3	$\frac{3^{- 4}}{3}$
234163	Evaluate Using the Given Value	Evaluate (3x+2y)/(2xy) when x=-1 and y=1	Evaluate $\frac{3 x + 2 y}{2 x y}$ when $x = - 1$ and $y = 1$
234164	Write the Fraction in Simplest Form	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
234165	Evaluate	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
234166	Simplify	(4b^3*3a^4b^2)/(3a^-2b^4)	$\frac{4 b^{3} \cdot 3 a^{4} b^{2}}{3 a^{- 2} b^{4}}$
234167	Simplify	fifth root of p^11 square root of p^7	$\sqrt[5]{p^{11}} \sqrt{p^{7}}$
234168	Find the End Behavior	f(x)=x^5-3x^3+x	$f (x) = x^{5} - 3 x^{3} + x$
234169	Simplify	square root of 11* square root of -6	$\sqrt{11} \cdot \sqrt{- 6}$
234170	Solve Using the Quadratic Formula	32=25x^2-4	$32 = 25 x^{2} - 4$
234171	Solve for x	3x-6+1=-2x-5+5x	$3 x - 6 + 1 = - 2 x - 5 + 5 x$
234172	Subtract	4-5/(4m+8)	$4 - \frac{5}{4 m + 8}$
234173	Multiply	2/3*9/4	$\frac{2}{3} \cdot \frac{9}{4}$
234174	Find the x and y Intercepts	g(x)=(3x^2)/(x-1)	$g (x) = \frac{3 x^{2}}{x - 1}$
234175	Solve for x	635/72=-5/2(-11/4+x)	$\frac{635}{72} = - \frac{5}{2} (- \frac{11}{4} + x)$
234176	Solve by Substitution	y=1/3x+2 x-3y=6	$y = \frac{1}{3} x + 2$ $x - 3 y = 6$
234177	Find the Exact Value	16*4	$16 \cdot 4$
234178	Convert to Radical Form	-3 square root of 5+2 square root of 5	$- 3 \sqrt{5} + 2 \sqrt{5}$
234179	Graph	y = square root of 4+x	$y = \sqrt{4 + x}$
234180	Solve for x	(2x+6)/2-x=3	$\frac{2 x + 6}{2} - x = 3$
234181	Solve for x	8(x-x)=8	$8 (x - x) = 8$
234182	Graph	y=-x(x-1)(x+2)	$y = - x (x - 1) (x + 2)$
234183	Multiply	(10x+y^2)(10x-y^2)	$(10 x + y^{2}) (10 x - y^{2})$
234184	Solve for b	cube root of b+5=4	$\sqrt[3]{b + 5} = 4$
234185	Simplify	2x-3x-(-4x)-5x	$2 x - 3 x - (- 4 x) - 5 x$
234186	Solve for x	-2 1/2+(-5*x)=-27 1/2	$- 2 \frac{1}{2} + (- 5 \cdot x) = - 27 \frac{1}{2}$
234187	Simplify	8(3x+2y)+12x+16y	$8 (3 x + 2 y) + 12 x + 16 y$
234188	Simplify	square root of 16x^3y- square root of xy+ square root of 9xy^3	$\sqrt{16 x^{3} y} - \sqrt{x y} + \sqrt{9 x y^{3}}$
234189	Write in Standard Form	(4x^2+x-2)(x^2+x+2)	$(4 x^{2} + x - 2) (x^{2} + x + 2)$
234190	Multiply	3ab^3(a+b)	$3 a b^{3} (a + b)$
234191	Convert to Interval Notation	x^2+6x+9<0	$x^{2} + 6 x + 9 < 0$
234192	Evaluate	(y^(4/3)*y^(2/3))^(-1/2)	${(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}})}^{- \frac{1}{2}}$
234193	Evaluate	square root of b+6=7	$\sqrt{b + 6} = 7$
234194	Solve for x	x-3=(5x-1)^(1/2)	$x - 3 = {(5 x - 1)}^{\frac{1}{2}}$
234195	Simplify	16w-7-5w-11+4(w-5)	$16 w - 7 - 5 w - 11 + 4 (w - 5)$
234196	Evaluate	x^-2*x^(11/9)	$x^{- 2} \cdot x^{\frac{11}{9}}$
234197	Multiply	(4 square root of 3a^3)^2	${(4 \sqrt{3 a^{3}})}^{2}$
234198	Find All Complex Solutions	x^2-x=6	$x^{2} - x = 6$
234199	Simplify	(2x+7)+(x^2-5x+3)	$(2 x + 7) + (x^{2} - 5 x + 3)$
234200	Solve for θ	1+cos(theta)=3cos(theta)	$1 + \cos (θ) = 3 \cos (θ)$