Equations practice problems - page 82 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: 4228
- 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? - Water tanks
A different amount of water is poured into the three identical vessels. Water fills 30% of its volume in the first vessel, and in the second vessel, 40% of its volume. The third container contains 19 liters of water. If we distributed the water from all t - Tractors 19713
Two tractors are working on plowing the field. If only the first tractor plowed, it would plow the field in 3 hours. The second tractor would plow the field by itself in 6 hours. How long will it take to plow if they work together, but the other starts wo
- Equation 19683
Fill in the signs so that equation 3 2 3 4 = 3 applies. - Equation: 19613
Equation: 6 (x + 1) -4 (2x + 3) = 7 (x-1) +5 (9-x) - Accounted 19563
During the fishing of the pond, 19 catfish were caught. They accounted for 4% of all fish caught. How many fish were caught? - Calculate 19543
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18cm and 8cm. How many solutions does the task have? List all solutions. - Forty-eight 19513
25% of children did not attend the course because they were ill. Forty-eight children passed the course. How many children were initially supposed to complete the course?
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