$5x-4=11$

$12x+7=31$

$3(2x-4)=9-(x+7)$

$4(x+7)=40+2x$

$3x+8=3(x+2)+2$

$3x+8=3(x+1)+4$

$x-(5x-2)=7(x-1)-2$

$7+4(3+y)=8(3y-1)+3$

${\displaystyle \frac{2}{x+3}}={\displaystyle \frac{5}{11x-1}}$

${\displaystyle \frac{7}{x+2}}={\displaystyle \frac{3}{x-2}}$

${\displaystyle \frac{y+5}{2}}+{\displaystyle \frac{y-1}{3}}={\displaystyle \frac{7y+3}{8}}+{\displaystyle \frac{4}{3}}$

${\displaystyle \frac{y-3}{6}}-{\displaystyle \frac{y-4}{5}}=-{\displaystyle \frac{1}{6}}$

$|2x-3|=|4x+5|$

$|5x-3|=|x+4|$

$|2x-1|=|2x+7|$

$|x-1|=2-x$

$|3x-2|=2x+1$

$|1-2x|=x+5$

$p=k+gt$ for g

$RK=4+3K$ for K

$T={\displaystyle \frac{2B}{B-1}}$ for B

$S={\displaystyle \frac{a}{1-r}}$ for r

$x^2-7x=0$

$x^2-32x=0$

$x^2-3x-10=0$

$2x^2-9x-18=0$

${(x-1)}^2=2x^2+3x-5$

${(x+2)}^2=x(3x+2)$

${\displaystyle \frac{x^2}{4}}+x={\displaystyle \frac{5}{4}}$

${\displaystyle \frac{x^2}{4}}+{\displaystyle \frac{7}{16}}=x$

$3x(x+1)=2x+2$

$x^2-x=3(5-x)$

$x^2-3x-1=0$

$x^2+6x+2=0$

$2x^2+x-1=0$

$x^2+4x+1=0$

$3x^2-12x-24=0$

$2x^2+4x-3=0$

$2x^2-x-2=0$

$3x^2-5x+1=0$

$x^2-x+1=0$

$3x^2+4x+3=0$

$x^2-6x+13=0$

$x^2-8x+20=0$

$4x^2-8x+13=0$

$3x^2-4x+2=0$

$3x^2-11x+6=0$

$x^2-14x+49=0$

$5x^2+2x+1=0$

$9x^2=25$

$\sqrt{x^2-16}=0$

$\sqrt{x+6}=x$

$\sqrt{4-7x}=\sqrt{2}x$

$t-2\sqrt{t}+1=0$

$y-2\sqrt{y}-3=0$

$\sqrt{3x+4}-\sqrt{x-3}=3$

$\sqrt{x}-1=\sqrt{5+\sqrt{x}}$

${\displaystyle \frac{1}{{(1-x)}^2}}-{\displaystyle \frac{7}{1-x}}=-10$

${(7x+5)}^2+2(7x+5)-15=0$

${(x^2-1)}^2-11(x^2-1)+24=0$

$x^{2/3}+3x^{1/3}-4=0$

$x^{-2/3}+x^{-1/3}-6=0$

${(\sqrt{t}+5)}^2-9(\sqrt{t}+5)+20=0$

$3{\left({\displaystyle \frac{y-1}{6}}\right)}^2-7\left({\displaystyle \frac{y-1}{6}}\right)=0$

$4x^4-37x^2+9=0$

${\displaystyle \frac{1}{x}}+{\displaystyle \frac{1}{x-1}}={\displaystyle \frac{5}{6}}$

${\displaystyle \frac{2x+1}{2x-1}}={\displaystyle \frac{x-1}{x+1}}$

$6-{\displaystyle \frac{2}{x}}={\displaystyle \frac{4}{x-1}}$

${\left({\displaystyle \frac{7x}{x+1}}\right)}^2-3\left({\displaystyle \frac{7x}{x+1}}\right)=18$

${\left({\displaystyle \frac{4x^2-3}{x}}\right)}^2=1$

$x^2+2yx-3y^2=0$

$x^2+(y-2z)x-2yz=0$

$x^2+(3-2y)x+y^2-3y+2=0$

$x^2+(1-2y)x+y^2-y-2=0$

$x+5<3$

$2x+1<9$

$3(x-3)\le 8$

$x+5\le 19+3x$

$x+2\ge {\displaystyle \frac{2}{3}}x-2x$

$2x+1\ge {\displaystyle \frac{5x-6}{3}}$

${\displaystyle \frac{1}{6}}>{\displaystyle \frac{4-3x}{3}}$

${\displaystyle \frac{2}{5}}>{\displaystyle \frac{3-2x}{2}}$

${\displaystyle \frac{x-3}{3}}-2\le {\displaystyle \frac{x}{6}}+{\displaystyle \frac{1}{2}}$

${\displaystyle \frac{x+1}{2}}-3\le {\displaystyle \frac{x}{4}}+{\displaystyle \frac{1}{2}}$

${\displaystyle \frac{3-2x}{4}}+1>{\displaystyle \frac{x-5}{3}}$

${\displaystyle \frac{5-3x}{5}}-2>{\displaystyle \frac{2-x}{3}}$

$3x-1<2$ or $11-2x<5$

$3-2x>5$ or $15-3x<6$

$4x-5<7$ and $7-3x<1$

$2x-1<3$ and $4-3x>1$

$-3\le 2x+1<7$

${\displaystyle \frac{1}{6}}\le {\displaystyle \frac{3x-4}{3}}\le 4$

$-3<3-2x\le 97$

$-{\displaystyle \frac{1}{2}}<{\displaystyle \frac{4-3x}{3}}\le {\displaystyle \frac{1}{2}}$

$x^2+x-6\ge 0$

$x^3-9x\le 0$

${\displaystyle \frac{(x-1)(x+3)}{(x+2)(x+5)}}\ge 0$

${\displaystyle \frac{x^2+4x+3}{x^2+6x+8}}\le 0$

$|3x+2|\le 7$

$|x-4|\ge 2$

$4|x-2|+8>12$

$3|x-1|+4<10$

$\left|{\displaystyle \frac{4-x}{5}}\right|\ge 1$

$\left|{\displaystyle \frac{1-x}{6}}\right|<1$

$\left|{\displaystyle \frac{x-1}{x+2}}\right|\le 3$

$\left|{\displaystyle \frac{x+3}{x-5}}\right|<4$

$\left|{\displaystyle \frac{2x-3}{x+2}}\right|\ge 2$

$\left|{\displaystyle \frac{x+1}{2x-5}}\right|>3$

A circular lens has a circumference of 22 centimeters. Find the radius of the lens.

A rectangle has a perimeter of 18 inches and a length of 5 inches. Find the width of the rectangle.

A trapezoid has an area of 32 square meters and a height of 8 meters. If one base is 5 meters, what is the length of the other base?

What principal must be deposited for four years at 7% annual simple interest to earn $354.20 in interest?

The volume of a box is 4212 cubic centimeters. If the box is 27 centimeters long and 12 centimeters wide, how high is it?

The ratio of the current assets of a business to its current liabilities is called the current ratio of the business. Assuming that the current ratio is 2.7 and the current assets total $256,500, find the current liabilities of the business.

A cylindrical shaft has a volume of $8750\pi$ cubic centimeters. If the radius is 5 centimeters, how long is the shaft?

A car dealer deducted 15% of the selling price of a car he had sold on consignment and gave the balance, $2210, to the owner. What was the selling price of the car?

The third angle in an isosceles triangle measures 40 degrees more than twice either base angle. Find the number of degrees in each angle of the triangle.

A 600-mile trip took 12 hours. Half of the time was spent traveling across flat terrain, and half was through hilly terrain. Assuming that the average rate over the hilly section was 20 miles per hour slower than the average rate over the flat section, find the two rates and the distance traveled at each rate.

A total of $30,000 is invested in two stocks. At the end of the year, one returned 6% and the other returned 8% on the original investment. How much was invested in each stock if the total profit was $2160?

The monthly note on a car that was leased for two years was $250 less than the monthly note on a car that was leased for a year and a half. The total income from the two leases was $21,300. Find the monthly note on each.

Two solutions, one containing $4{\displaystyle \frac{1}{2}}\%$ iodine and the other containing 12% iodine, are to be mixed to produce 10 liters of a 6% iodine solution. How many liters of each are required?

Two cars leave from the same place at the same time traveling in opposite directions. One travels 5 kilometers per hour faster than the other. After three hours, they are 495 kilometers apart. How fast is each car traveling?

A total of 28 handshakes were exchanged at the end of a party. Assuming that everyone shook hands with everyone else, how many people were at the party?

Find two positive numbers that differ by 7 and whose product is 408.

Lavina bought some shares of stock for $18,040. Later when the price had gone up $18 per share, she sold all but 20 of them for $20,000. How many shares had she bought?

Joann drives her car for 15 miles at a certain speed. She then increases her speed by 10 mph and drives for another 20 miles. If the total trip takes one hour, find her original speed.

One-fourth of a herd of wild horses is in a forest. Twice the square root of the number of horses in the herd has gone to the mountains, and the remaining 15 are on the bank of the river. What is the total number of horses in the herd?

A path of uniform width surrounds a rectangular swimming pool that is 30 ft long and 16 ft wide. Find the width of the path, assuming that its area is ${312\text{ ft}}^2.$

The Botany Club chartered a bus for $324 to go on a field trip, the cost to be divided equally among those attending. At the last minute, four more members decided to go, which reduced the cost by $0.90 per person. How many members went on the trip?