Equations practice problems - page 91 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4221
- Calculate 12451
Petr found out that he would save CZK 1,680 with a 24% discount when selling winter goods. Calculate the original price of ski equipment. - Motorcycle 12381
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both - Traveling 12371
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists? - Rectangle field
The field has a shape of a rectangle, having a length of 119 m and a width of 19 m. , How many meters have to shorten its length and increase its width to maintain its area and circumference increased by 24 m?
- Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Determine 12331
An annulus with an area S = 4.2 square meters has an inner radius r = 2.25 m. Determine the outer radius of the annulus. - Where and when
The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average speed of 80km/h. How many kilometers from Kremnica will the passenger car reach the truck, and when? - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - Ice skates
Ice skates were raised twice, first by 25% and second by 10%. After the second price, their cost was 82.5 euros. What was the original price of the skates?
- Flowerbed
We enlarged the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius. - Inspection 12171
During the inspection of the trees, we found that 1/3 was broken and 2/5 bitten. In the beginning, there were only 40 pieces. How much was planted in total? - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square? - Harvest time
Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants ten days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in
- Father and sons
Father is 27, and his sons are two and one years. In how many years will his sons sum up to half his age? - Cooperative 11981
According to the plan, the cooperative secured 210 tons of silage for the winter. However, it then bought 10 heads of cattle, so it was necessary to reduce the amount of silage by half a ton per head. How many tons of silage did the cooperative initially - Radius
Find the radius of the circle with area S = 200 cm². - Sides of right angled triangle
One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle. - Before yesterday
The merchant adds a sale sign in his shop window to the shown pair of shoes in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the
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