Equations practice problems - page 25 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: 4223
- Calculate 80804
The school bought 20 tablets and 15 laptops for the students for a total of exactly €6,000. Calculate the amount of one tablet and the price of a laptop if the tablet was €50 cheaper than the laptop. - Multiply 80797
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Apple 80796
A total of 18 pear and apple trees grow in the set. Pears are 2 times less than apple trees. How many pears and apple trees are there? - Grandmother 80795
The grandmother is 4 times older than the grandson. In 7 years, it will be only 3 times. How old is grandma?
- Increases 80774
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus - Increases 80772
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Motorcyclist 80762
A motorcycle travels at a speed of 116 km/h, and a truck at a speed of 88 km/h. At what time will the motorcyclist reach the truck if, at 7:00 AM, the truck is ahead of him by 56 km? - Unknown 80760
If we add 5 to twice the unknown number, we get the number 6.02 - Repairing 80759
They spent three days repairing the damaged pipe, 115 m long. On the first day, they repaired a quarter of what they did on the second day, and on the third day, they repaired 20m less than on the second day. How many m of pipe did they repair on the firs
- Originally 80757
There were 45 sheep and several shepherds in the meadow. After half of the shepherds and a third of the sheep left the meadow, the remaining shepherds and sheep had a total of 126 legs. All sheep and all shepherds usually had leg counts. how many shepherd - Numbers 80756
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these?? - Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Beginning 80744
Katerina has a large package of candies. She ate a quarter and offered a fifth to her friends. She divided the rest of the candies into two equal parts and gave them to her siblings. Brother Michal received 33 candies. How many candies did Katarina have a - Subtract 80730
I think a number. If I multiply it by three and then subtract 120, I get the number 900. What is that number?
- Remaining 80727
In the hotel, half of the people live on the first floor, a third on the second floor, and the remaining 40 guests live in the attic. What is the capacity of the hotel if it is 3/4 occupied? - Determine 80714
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t - Follows 80693
A train travels at a speed of 50 km/h from city A. In 15 minutes, a second train follows him at 20 m/s. We are sitting on the first train. When will the second train catch up with the first? - Single-digit 80674
There are cows, ducks, and geese on the farm. They have a total of 126 legs. Ducks are 3 more than houses. And there are 20 cows. If we count all the animals, we have to divide them by the number three, and we should get a single-digit number. - Determine 80662
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
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