Equations practice problems - page 96 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: 4231
- Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper? - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Original 9251
If the length of the square pad tent is reduced by 6 cm, its area will be reduced by 2.76 dm². Specify the side length of the original and reduced pads. - Rectangular 9241
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m.
- Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Age question
Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano, and how old is Zdeno? - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then? - Athletic club
All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Radek and behind Radek, another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x. 1, - Birthdays 9011
Three sisters have birthdays today, and their ages are in the ratio of 2:3:4. In two years, their ages will be in the ratio of 5:7:9. Find what their ages will be in four years.
- Interesting 8981
Solve an interesting equation: (1 * x) + (2 * x) + (3 * x) + (4 * x) + (5 * x) + (6 * x) = 100 - Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Remaining 8931
The car driver plans to drive to a distance of 30 km in 0.5 hours. For twenty minutes, he follows the column at a speed of 30 km/h. What speed would he have to go in the remaining time? - Forty-eight 8861
Forty-eight pupils go to school, there are ten boys more than girls. How many girls go to school? - Orienteering 8851
The first patrol of the pupils' orientation run started at 8 a.m. at an average speed of 5 km. H-1. At 8:36 a.m., the leader of the orienteering race followed them on a bicycle at a speed of 20 km. H -1. When and how far from the start will he catch up wi
- Copper sulphate
How much g of water do we have to add to 240 g of an 84% CuSO4 solution to produce a 60% solution? (Express the mass of crystalline CuSO4 in the original solution and the resulting solution and compare them. ) - The second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles? - Notebooks 8651
I need to buy exercise books and covers. One notebook costs CZK 12, and one cover costs CZK 3. I have one fifty crown and one twenty crown. How many notebooks and covers can I buy for it? Come up with more options. - Distance 8591
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)? - Prices
The price of the product was increased by 35%. How many percents of the new price do we have to make it cheaper so that its price is equal to the original price?
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