Equations practice problems - page 12 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: 4210
- Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Rectangle 83142
How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available? - Basketball 83137
In the basketball game, the players threw 37 times, including 2-pointers and 3-pointers, for a total of 82 points. How many were 2 points, and how many were 3 points? - Banknotes 83131
Cashier Samuel had a total of 20 banknotes in the cash register with a total value of 850 euros. They were only €50 and €20 notes. How many of each bill did he have? - Jendo's 83123
Jenda, Milan, and Tomáš have a total of 203 Pokemon cards. Jenda has twice as many cards as Tomáš, and Milan has a quarter of Jendo's number of cards. a) How many cards does Jenda have? b) How many fewer cards do Milan have than Jenda and Tomáš? - Arrangements 83122
A florist was preparing floral arrangements for a wedding. One-third of the flowers were roses, six peonies, and five-twelfth tulips; the remaining 10 were lilies. a) How many flowers did the florist use? b) How many tulips were there - Remaining 83116
Ondra was reading a book. On the first day, he read one-tenth. On the second day, he read half of the remainder; on the third day, he read 20% of the new remainder; and on the fourth day, he read the remaining 72 pages. Thus, the book had 72 pages. - Questions 83115
Irena solves the test. She solved three-quarters of all questions during the first reading and another sixth during the review. In total, she solved 22 questions. How many questions does the whole test consist of? - Circumferences 83111
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape. - Determine 83110
Write the problem: adding twice x and a number three times larger than x reduced by 1 gives the sum 27. Determine the number x. - Friend 83103
A friend spent 2/5 on a pencil case and 3/10 on a laptop, leaving her with 3.3 euros. Thus, her total was 3.3 euros. - Notebooks 83101
Jana bought 36 notebooks, three times as many with lines as with squares notebooks. Calculate how many lined notebooks she purchased. - Solution 83099
There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Distilled 83093
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need? - Pages 83075
The book has 500 pages. Pepa has read half as many pages as he has left. How many pages did Pep read? - Calculate 83068
The internal volume of the barrel is 15 times greater than the bucket's volume. The volume of the bucket is 5 times the volume of the kettle. We took a third of the water from a barrel, leaving 60 liters in it. Calculate the volume of the kettle in liters - Warehouse 83041
At half past six in the evening, a truck left the warehouse at an average speed of 40 km/h. In 1.5 hours, a car drove behind him with an average speed of 70 km/h. How long and at what distance will the truck catch up from the warehouse? - Calculate 83039
The whole movie lasts 1 hour. The time left until the end of the film is half of the time that has already passed since the film's beginning. Calculate how many minutes are left until the end of the movie. - Simultaneously 83038
The cable car can take a given group of skiers out in 20 minutes and the lift in 30 minutes. How long will the lift and cable car take this group out simultaneously?
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