Equations practice problems - page 13 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: 4223
- 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? - Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Determine 83021
Determine the kinetic energy of a car with a mass of 800 kg if it travels at a speed of 10 m. s-1b, 20m. s-1 - Corrects 83017
The new teacher corrects papers for 9 hours, and the older one fixes them in 6 hours. How much will they repair together?
- Textbooks 83010
At 9 a.m., a truck with textbooks left Brno at a speed of 50 km/h; at 9:30 a.m., a passenger car left Brno with another delivery of textbooks at a speed of 70 km/h. When will the passenger car catch up with the truck? - Simultaneously 83009
A passenger train will travel from Brno to Bratislava (144km) in 3 hours; a freight train will cover this distance in 4.5 hours. How long will they meet if a passenger train from Brno and a freight train from Bratislava leave simultaneously? How many kilo - Ostrava 83008
A truck with a speed of 45 km/h left Ostrava. When he had passed 15 km, a car with a 90 km/h speed came behind him. How long does a car catch up with a truck take? How far from Ostrava? - Encyclopedias 83005
The seller sells books for 20 euros and encyclopedias for 50 euros. How many books and encyclopedias did he sell if he sold 121 books? He won €8,000 for both types. - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common.
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