Equations practice problems - page 44 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
- Agricultural 65594
Six identical harvesters were supposed to work on the harvest for 12 days in the agricultural cooperative. After three days, however, two harvesters left for another team. Find how long the harvest time in the farm cooperative has increased. - Deposited 65534
Danka and Janka deposited their money in the bank in an account with an interest rate of 2.9 percent pa. How many euros did Janka invest if she earned 4.64 euros in interest and Danka 29 cents less? - Slovakia's 65524
Slovakia's VAT rate is reduced to 10% on some goods (e.g., books, textbooks, and medicines). Normal VAT is 20%. How much would we pay for a book that cost 69.00 euros if we didn't have to pay VAT? - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c
- Marbles
Leo has 40 marbles. His brother has thrice as many marbles as he does. They have 160 marbles. What does Leo's brother have? - Swimming pool
Thaddeus set off on foot to the swimming pool, which is 18 km from his residence. The trip took him two and a half hours. An hour later, his brother Viliam met him on his bicycle, whose journey took three-quarters of an hour. a) Show the described situati - Unknown 65404
If we reduce the unknown number by 336, we get 65% of its value. Specify an unknown number. - Determine 65384
We divide the number 210 into two summands so that one summand is 30 less than three times the other. Determine the larger of the summands. - Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.
- Arithmetic 65324
Martin has an arithmetic average of 2.8 out of five history grades. If he only gets one from now, how many ones would he have to get at least so that the arithmetic mean of his history grades is less than 2? - Individually 65314
A bakery worker makes 300 rolls more than an apprentice in 2 hours. In 4 hours, they both made 9800 rolls together. What are the hourly output of the worker and the apprentice individually? - Expensive 65184
Barborka chose a backpack for school that was three times more expensive than a slipper pocket. If the backpack were 30 euros cheaper, it would cost the same as a slipper pocket. How many euros did a backpack cost? - Together 65074
Jana washes 20 windows alone in 4 hours. Petra would be able to do it in 6 hours. How long will it take to work together? - Bricklayer 65064
The bricklayer would be able to repair the wall himself in 30 minutes. It would take students an hour to learn. How long will it take for them to work together?
- Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Substituted 65024
Which number should be substituted for the variable and in the equation: 4x² (7-x) = a-3- (x-2), so that the root of the equation is the number 5? - Bratislava 64954
A truck drove from Bratislava to Banská Bystrica at a speed of 30 km/h. At the same time, a tractor drove at a speed of 40 km/h. The tractor arrived in Banská Bystrica 1 hour and 45 minutes earlier than the truck. What is the distance between the cities? - Husband 64914
Milan, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they? - Nearest 64894
We can write the number 1003 in the form 7n + 2. Which can we write the nearest number in this form?
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