Equations practice problems - page 44 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
- Beginning 66104
The kangaroo always jumps three steps up. Each time he jumps, the bunny jumps down two steps. On which stairs will they meet? The kangaroo stands on the 1st step at the beginning and the bunny on the 100th. - Summands 66044
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2. - Consecutive 66034
There are five consecutive natural numbers. If the middle number is subtracted from the sum of the other four, I get 21. Specify these numbers. - Original 66004
They reduced the shoes by CZK 132 to 85% of the original price. How much did they cost before the discount?
- Vertically 65984
We threw the stone vertically upwards at a speed of v = 15m. s-1. How long will it be at a) 10 m, b) 12 m? - Together 65964
Danka and Janka are the same age. If one were ten times less and the other five times less, they would only have three years together. How old are Jana and Danka? - Door-to-door 65904
The door-to-door seller of domestic apples sold 40% of the apples in the first household, 20% of the rest in the second, and 24kg in the third. How many kilograms of apples did the seller sell to the first two households together? - Reduction 65814
The Shop first reduced the tablet price by 10%, and later Shop reduced the new price by 20%. After the tablet cost € 720 to double the reduction, what was its original price? - Annual interest
How many euros did Mr. Slovak deposit in the bank if, after a year, at an annual interest rate of 3.8%, he had 2,076 euros in his account?
- Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Probability 65634
There are seven red balls and 13 blue balls in the pocket. How many blue balls do we need to add to the pocket so that the probability of removing the red ball is 0.2? - 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.
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