Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2201	Add	5x^2+19x+24 , -7x^2+12x+9 , -x^2-9x+11	$5 x^{2} + 19 x + 24$ , $- 7 x^{2} + 12 x + 9$ , $- x^{2} - 9 x + 11$
2202	Add	5a-3b-2c , a-3b+2c+4 , a+3b-4c	$5 a - 3 b - 2 c$ , $a - 3 b + 2 c + 4$ , $a + 3 b - 4 c$
2203	Subtract the Expressions	-1/4x-5 , 3/4x-9	$- \frac{1}{4} x - 5$ , $\frac{3}{4} x - 9$
2204	Combine	m^2-m^2n-2mn^2	$m^{2} - m^{2} n - 2 m n^{2}$
2205	Combine	y-0.25(x-6.5)^2-20	$y - 0.25 {(x - 6.5)}^{2} - 20$
2206	Convert to Interval Notation	3x^2-2x+1<0	$3 x^{2} - 2 x + 1 < 0$
2207	Find the Antiderivative	x^2-14x-6	$x^{2} - 14 x - 6$
2208	Find the Maximum/Minimum Value	f(x)=-2x^2+9x+1	$f (x) = - 2 x^{2} + 9 x + 1$
2209	Find the Distance Between Two Points	(-2,6) , (-6,3)	$(- 2, 6) (- 6, 3)$
2210	Find the Domain	y=x*3+2	$y = x \cdot 3 + 2$
2211	Find the Domain	y=x-9/5	$y = x - \frac{9}{5}$
2212	Find the Domain	y=n(x-2)^2-3	$y = n {(x - 2)}^{2} - 3$
2213	Find the Domain	y=tg(x-pi/6)	$y = t g (x - \frac{π}{6})$
2214	Find the Domain	y=x+30	$y = x + 30$
2215	Find the Domain	y = natural log of x+2	$y = \ln (x + 2)$
2216	Find the Domain	y = log of 12*144	$y = \log (12) \cdot 144$
2217	Find the Domain	y = log of 3x+10-2	$y = \log (3 x + 10) - 2$
2218	Find the Domain	y=7x^2	$y = 7 x^{2}$
2219	Find the Domain	y=7250-600x	$y = 7250 - 600 x$
2220	Find the Domain	y=7-x	$y = 7 - x$
2221	Find the Domain	y=7x+3	$y = 7 x + 3$
2222	Find the Domain	y=8x^2-3x-9	$y = 8 x^{2} - 3 x - 9$
2223	Find the Domain	y=800-50x	$y = 800 - 50 x$
2224	Find the Domain	y=8x+3	$y = 8 x + 3$
2225	Find the Domain	y=8x-8	$y = 8 x - 8$
2226	Solve by Substitution	2x+4y=25 , x+5y=2	$2 x + 4 y = 25$ , $x + 5 y = 2$
2227	Solve by Substitution	-6x+28y-61=0 , 8x+30y-29=0	$- 6 x + 28 y - 61 = 0$ , $8 x + 30 y - 29 = 0$
2228	Solve by Substitution	6x+3y=24 , 4x+2y=-26	$6 x + 3 y = 24$ , $4 x + 2 y = - 26$
2229	Solve by Substitution	7x-3y=2 , 5x-2y=3	$7 x - 3 y = 2$ , $5 x - 2 y = 3$
2230	Solve by Substitution	99x+10.99y=331 , x+y=115	$99 x + 10.99 y = 331$ , $x + y = 115$
2231	Solve by Substitution	99x+10.99y=331 , x+y=36	$99 x + 10.99 y = 331$ , $x + y = 36$
2232	Solve by Substitution	9x+2y=30 , 3x-4y=24	$9 x + 2 y = 30$ , $3 x - 4 y = 24$
2233	Solve by Substitution	x+2y=4 , 2x+4y=32	$x + 2 y = 4$ , $2 x + 4 y = 32$
2234	Solve by Substitution	x-6y=-13 , 5y-4x=14	$x - 6 y = - 13$ , $5 y - 4 x = 14$
2235	Solve by Substitution	z=3 , x=3-5z	$z = 3$ , $x = 3 - 5 z$
2236	Solve by Substitution	2x+y=6 , 6x=-3y+12	$2 x + y = 6$ , $6 x = - 3 y + 12$
2237	Solve by Substitution	y=3x , 4x-3y=20	$y = 3 x$ , $4 x - 3 y = 20$
2238	Solve by Substitution	y=-x+3 , y=2x-1	$y = - x + 3$ , $y = 2 x - 1$
2239	Solve by Substitution	y=x+3 , y=2x-1	$y = x + 3$ , $y = 2 x - 1$
2240	Solve by Substitution	0.05x+0.25y=22 , 0.15x+0.05y=24	$0.05 x + 0.25 y = 22$ , $0.15 x + 0.05 y = 24$
2241	Solve by Substitution	0.2x+y=5.8 , 0.9x-2y=-6.4	$0.2 x + y = 5.8$ , $0.9 x - 2 y = - 6.4$
2242	Solve by Substitution	-11x-11y=-4092 , 10x+13y=4464	$- 11 x - 11 y = - 4092$ , $10 x + 13 y = 4464$
2243	Find the Domain	y=-x-4	$y = - x - 4$
2244	Write as a Vector Equality	2a-2b=0 , d+3g=2 , 3a-3b=0 , a-b+2d+6g=4	$2 a - 2 b = 0$ , $d + 3 g = 2$ , $3 a - 3 b = 0$ , $a - b + 2 d + 6 g = 4$
2245	Write as a Vector Equality	2a-b=-8 , 2a+b=8	$2 a - b = - 8$ , $2 a + b = 8$
2246	Write as a Vector Equality	2x+15y=10 , 4x+5y=8	$2 x + 15 y = 10$ , $4 x + 5 y = 8$
2247	Write as a Vector Equality	2x+2y+4z=0 , w-y-3z=0 , 2w+3x+y+z=0 , -2w+x+3y-2z=0	$2 x + 2 y + 4 z = 0$ , $w - y - 3 z = 0$ , $2 w + 3 x + y + z = 0$ , $- 2 w + x + 3 y - 2 z = 0$
2248	Write as a Vector Equality	2x+2y=110 , x-y=5	$2 x + 2 y = 110$ , $x - y = 5$
2249	Write as a Vector Equality	2x+2y=16 , -2x+2y=12	$2 x + 2 y = 16$ , $- 2 x + 2 y = 12$
2250	Write as a Vector Equality	2x+2y=17 , 2x-7=-4	$2 x + 2 y = 17$ , $2 x - 7 = - 4$
2251	Write as a Vector Equality	2x+2y=34 , x=2+2y	$2 x + 2 y = 34$ , $x = 2 + 2 y$
2252	Write as a Vector Equality	2x+3y+z+w=15 , x+y+z+w=2 , 2x+3y+2z+w=3 , 3x+y+z+2w=1	$2 x + 3 y + z + w = 15$ , $x + y + z + w = 2$ , $2 x + 3 y + 2 z + w = 3$ , $3 x + y + z + 2 w = 1$
2253	Write as a Vector Equality	2x+3y=0 , x=0 , -x-2y=0	$2 x + 3 y = 0$ , $x = 0$ , $- x - 2 y = 0$
2254	Write as a Vector Equality	2x+3y=18 , x+y=5	$2 x + 3 y = 18$ , $x + y = 5$
2255	Write as a Vector Equality	2x+3y=5 , 3x+5y=7	$2 x + 3 y = 5$ , $3 x + 5 y = 7$
2256	Write as a Vector Equality	2x+3y=9 , -3x+2y=19	$2 x + 3 y = 9$ , $- 3 x + 2 y = 19$
2257	Write as a Vector Equality	-2x+3y-5z=28 , 2x+7y+4z=17	$- 2 x + 3 y - 5 z = 28$ , $2 x + 7 y + 4 z = 17$
2258	Write as a Vector Equality	2x+3y-z=0 , x+2y+4z=0 , x-14z=0	$2 x + 3 y - z = 0$ , $x + 2 y + 4 z = 0$ , $x - 14 z = 0$
2259	Write as a Vector Equality	2x+3y-z=3 , x-y+z=0 , x-2y-2z=3	$2 x + 3 y - z = 3$ , $x - y + z = 0$ , $x - 2 y - 2 z = 3$
2260	Write as a Vector Equality	-2x+4y=3 , -1/2x+y=6	$- 2 x + 4 y = 3$ , $- \frac{1}{2} x + y = 6$
2261	Write as a Vector Equality	2x+4y=6 , 5x+10y=15	$2 x + 4 y = 6$ , $5 x + 10 y = 15$
2262	Write as a Vector Equality	2x+4y-2z=0 , 3x+5y=1	$2 x + 4 y - 2 z = 0$ , $3 x + 5 y = 1$
2263	Write as a Vector Equality	2x+4y-3z=1 , x+2y-2z=0 , 2x+y+3z=5	$2 x + 4 y - 3 z = 1$ , $x + 2 y - 2 z = 0$ , $2 x + y + 3 z = 5$
2264	Write as a Vector Equality	2x+4y-z=15 , x+2y+4z=12 , x+2y-2z=6	$2 x + 4 y - z = 15$ , $x + 2 y + 4 z = 12$ , $x + 2 y - 2 z = 6$
2265	Write as a Vector Equality	2x+5y=7 , x+4y=2	$2 x + 5 y = 7$ , $x + 4 y = 2$
2266	Write as a Vector Equality	2x+8y=18 , y=(-x)+6	$2 x + 8 y = 18$ , $y = (- x) + 6$
2267	Write as a Vector Equality	2x+9y=17 , x+3y=7	$2 x + 9 y = 17$ , $x + 3 y = 7$
2268	Write as a Vector Equality	2x+b-3c=12 , 5a-4b+7c=27 , 10a+3b-c=40	$2 x + b - 3 c = 12$ , $5 a - 4 b + 7 c = 27$ , $10 a + 3 b - c = 40$
2269	Write as a Vector Equality	2x+y+3z=13 , x+2y=11 , 3x+z=10	$2 x + y + 3 z = 13$ , $x + 2 y = 11$ , $3 x + z = 10$
2270	Write as a Vector Equality	2x+y+z=0 , x-y+z=0 , 4x-y+3z=0	$2 x + y + z = 0$ , $x - y + z = 0$ , $4 x - y + 3 z = 0$
2271	Write as a Vector Equality	2x+y=3 , 6x+3y=9	$2 x + y = 3$ , $6 x + 3 y = 9$
2272	Write as a Vector Equality	2x+y=3 , y=2x-3	$2 x + y = 3$ , $y = 2 x - 3$
2273	Write as a Vector Equality	2x+y=4 , 5x-2y=1	$2 x + y = 4$ , $5 x - 2 y = 1$
2274	Write as a Vector Equality	2x+y=5 , x-y=1	$2 x + y = 5$ , $x - y = 1$
2275	Write as a Vector Equality	2x+y=5z+8w , x=z+2w	$2 x + y = 5 z + 8 w$ , $x = z + 2 w$
2276	Write as a Vector Equality	2x+y=a , 3x+6y=b	$2 x + y = a$ , $3 x + 6 y = b$
2277	Write as a Vector Equality	2x+y-3z=0 , 4x+5y+z=8 , -2x-y+4z=2	$2 x + y - 3 z = 0$ , $4 x + 5 y + z = 8$ , $- 2 x - y + 4 z = 2$
2278	Write as a Vector Equality	2x+y-4z=0 , x-y+2z=5 , 3x+2y+2z=3	$2 x + y - 4 z = 0$ , $x - y + 2 z = 5$ , $3 x + 2 y + 2 z = 3$
2279	Write as a Vector Equality	2x=3y-4 , -6x+12y=26	$2 x = 3 y - 4$ , $- 6 x + 12 y = 26$
2280	Write as a Vector Equality	2x-3y=12 , 2x-y-z=4 , y+2z=6	$2 x - 3 y = 12$ , $2 x - y - z = 4$ , $y + 2 z = 6$
2281	Write as a Vector Equality	2x-3y=-8 , 4x+y=-2	$2 x - 3 y = - 8$ , $4 x + y = - 2$
2282	Write as a Vector Equality	2x-5=20 , y=x-7	$2 x - 5 = 20$ , $y = x - 7$
2283	Write as a Vector Equality	2x-8y=4 , x-4y=2	$2 x - 8 y = 4$ , $x - 4 y = 2$
2284	Write as a Vector Equality	2x-y+3z=-9 , x+3y-2=10 , 3x+y-2=8	$2 x - y + 3 z = - 9$ , $x + 3 y - 2 = 10$ , $3 x + y - 2 = 8$
2285	Write as a Vector Equality	2x-y+3z-w=-3 , 3x+2y-z+w=13 , x-3y+z-2w=-4 , -x+y+4z+3w=0	$2 x - y + 3 z - w = - 3$ , $3 x + 2 y - z + w = 13$ , $x - 3 y + z - 2 w = - 4$ , $- x + y + 4 z + 3 w = 0$
2286	Write as a Vector Equality	2x-y+7z=-8 , 6x-8y+3z=2 , 9y-3z=-6	$2 x - y + 7 z = - 8$ , $6 x - 8 y + 3 z = 2$ , $9 y - 3 z = - 6$
2287	Write as a Vector Equality	2x-y+z=5 , 3x+2y-z=-1 , x-y-z=0	$2 x - y + z = 5$ , $3 x + 2 y - z = - 1$ , $x - y - z = 0$
2288	Write as a Vector Equality	2x-y=0 , 4x+y=6	$2 x - y = 0$ , $4 x + y = 6$
2289	Write as a Vector Equality	2x-y=3 , 3x+y=7	$2 x - y = 3$ , $3 x + y = 7$
2290	Write as a Vector Equality	2x-y=5 , -y=3	$2 x - y = 5$ , $- y = 3$
2291	Write as a Vector Equality	2x-y-3z=7 , 3x+y+z=10 , 5x+y+2z=15	$2 x - y - 3 z = 7$ , $3 x + y + z = 10$ , $5 x + y + 2 z = 15$
2292	Write as a Vector Equality	-2y+12=7x , 5x+3y=18	$- 2 y + 12 = 7 x$ , $5 x + 3 y = 18$
2293	Write as a Vector Equality	2y=14-6x , 3x+y=7	$2 y = 14 - 6 x$ , $3 x + y = 7$
2294	Write as a Vector Equality	x-y=3 , 2x-y=4	$x - y = 3$ , $2 x - y = 4$
2295	Write as a Vector Equality	x-y=7 , 2x-2y=k	$x - y = 7$ , $2 x - 2 y = k$
2296	Write as a Vector Equality	x-y=9 , 4x-3y=1 , 17x-13y=10	$x - y = 9$ , $4 x - 3 y = 1$ , $17 x - 13 y = 10$
2297	Write as a Vector Equality	y=1/2x-4 , y=1/2x+2	$y = \frac{1}{2} x - 4$ , $y = \frac{1}{2} x + 2$
2298	Write as a Vector Equality	y=1/3x-2 , 3y=x-6	$y = \frac{1}{3} x - 2$ , $3 y = x - 6$
2299	Write as a Vector Equality	y=2x+3 , 1/2y=x+3/2	$y = 2 x + 3$ , $\frac{1}{2} y = x + \frac{3}{2}$
2300	Write as a Vector Equality	y=2x-2 , y-2x=5	$y = 2 x - 2$ , $y - 2 x = 5$