Equations practice problems - page 81 of 211
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: 4215
- Distance 20493
A snail emerges from the leaf at a speed of 1 cm/min. At the same time, an ant rushes towards it from the stone at a speed of 5 cm/min. The distance between the leaf and the stone is 1.2 meters. How soon will they meet, and at what distance? - Travels 20483
When and where will the two cars that drove at the same time from cities A and B 90 km apart if the car from city A travels at a speed of 75 km/h and the car from city B at a speed of 60 km/h meet? - Motorcyclist 20473
The cyclist leaves place A at a speed of 25 km/h. A motorcyclist rides against him at a speed of 55 km/h. The distance between places A and B is 60 km. When and where do I meet? - Individual 20463
There are 59 pupils in the 9th grade. In 9A, there are 15% more pupils than in 9B. In 9C, there are 20% fewer than in 9B. How many pupils are in individual classes?
- Roofers 20413
Three roofers put the roofing on the roof in 8 days. How long will it take to get two more after three days? - Accommodations 20393
Anna and Elsa are going skiing in the Alps for the weekend and have agreed to split the costs equally. Anna paid a total of 96 euros for both accommodations in the mountain hotel, and Elza bought 118 euros for both ski passes to the cable cars. How many e - In the classroom
There are 30 boys and a few girls in the class. In the six months, 28 boys and all girls benefited, which was 95% of all pupils. How many pupils are there in the classroom? - Building 20293
Two workers will build the building in 10 hours. How many hours would they have built the building if three more workers had helped them? - Perimeter 20283
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side
- Troops
There are two leaders in the tourist group, with an average age of 30 years, and several children with an average age of 10 years. The total age of the group is 12 years. How many children are in the group? - Average 20173
The average of the two numbers is 2.8. One number is 5. What is the second number? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Horses 20063
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days? - Supermarket 20053
When only three checkouts are open in a supermarket, people wait in line for an average of 10 minutes. How many minutes will the average waiting time in line be if two more checkouts open?
- Apples 20043
From 10 kg of fresh apples, we get 1.25 kg of dried. How many kg of fresh do we need per 10 kg of dried? - Marks at school
There are 30 students in the class. Five students in the class had a mark of three or triple at the end of the math certificate, and the other students had a mark of one or two. The average mark in all students' mathematics in the class at the end of the - Substitution 19793
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system. - Complete 19783
Two roofers were to cover the roof in 14 days. After five days, they added one roofer. How long will it take them to complete the work? How many days will it take them to cover? - Square sides
If we enlarge the side of the square by a third, its circumference will be 20 cm larger than the original. What is the side of the square?
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