Equations practice problems - page 183 of 251
Number of problems found: 5001
- Triangle sides
If we increase one side of the triangle by 11 cm and reduce the other by 11 cm, we get an equilateral triangle. Four times the shortest side of the triangle is 10 cm greater than three times the triangle's longest side. Find all the lengths of the sides o - Population growth
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be? - Flax oil
25% oil is obtained from one flaxseed. From how many kg of flax seeds is 1.5 kg of oil obtained? - Race track
Cycling races had 4 stages. The length of the first was 1/3 of the length of the entire track. The length of the second stage was 2/9 of the length of the entire track, and the length of the third stage was 1/4 of the track. The fourth stage was 15 km sho - Aircraft speeds
Two planes take off simultaneously from airports A and B, fly towards each other, and meet in 20 minutes. The distance between the airports is 220 km, and the average speed of the aircraft flying from airport A is 60 km/h more than the average speed of th - Tank filling
A worker would fill the tank with one inlet in 36 minutes, the other in 45 minutes. How long will it take to fill the tank if the water flows through the first inlet for 9 minutes and then both simultaneously? - Wine cost
Five liters of white wine and six liters of red wine cost 432 CZK. One liter of red wine is CZK 6, which is more expensive than one liter of white wine. Thus, we pay CZK 6 for one liter of white wine and CZK 6 for one liter of red wine. - Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Father and sons
After 15 years, the father will have as many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now? - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Water temperature
Mom is going to wash by hand in water that should be at 40 °C. The tub already has 10 liters of water at a temperature of 12.3 °C and can still hold 5 liters. What temperature should the water be allowed to be? - Plane meeting The distance between the two airports is 3480 km. There are regular connections from airport 1. The plane takes off at 6:30 am at an average speed of 600 km/h. From airport two at 7:00 am at a speed of 540 km/h. When will they meet?
- Factorial equation
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number. - Car speeds
A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty - Time gone The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older.
- Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the other leg. Determine the perimeter and area of the triangle. - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Equation notation
The number x - twice increased by seven to 31. Write the notation and calculate the equation. - Equation solving
If we add 9 to its four times, we get 33. Make a notation and solve the equation - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have?
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