Equations practice problems - page 94 of 236
Number of problems found: 4717
- Function 3
Function f(x)=a(x-r)(x-s) the graph of the function has an x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s. - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Circumference 26651
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t. - Rectangular 26641
The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table. - Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now. - 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book? - A bottle
A bottle full of cola weighs 1,320 g. If we drink three-tenths of it, it will weigh 1,008g. How much does an empty bottle weigh?
- The sum
The sum of five consecutive odd numbers is 75. Please find out the sum of the second and fourth of them. - Multiplied 26421
The number x decreases by 10, the result is multiplied by six, and you get the number 18 - Quarter 26363
There were buns in the basket on the table. Josef ate half of the half, Eva ate the rest, Katka ate two buns, and Dunčo ate a quarter. How many buns were on the table? - Finite arithmetic sequence
How many numbers should be inserted between the numbers 1 and 25 so that all numbers create a finite arithmetic sequence and that the sum of all members of this group is 117? - Gas pipeline
Worker Molnár excavated the gas pipeline in 15 hours, worker Lakatoš in 12 hours, and worker Soukup in 10 hours. After how many hours of joint work will the excavation be completed? - Vegetables 26181
There were 50 liters of water in two barrels. Katka took several liters of water from the first and watered the vegetables in the garden. From the second, Kamil took as much water as was left in the first barrel and watered the flowers in the garden. How - Students 26111
There were 24 pupils from the whole class on the school trip. Out of 4/7 of all girls, ¼ did not go. Since all the boys went, there were an equal number of boys and girls on the trip. How many students are there in the class? How many boys are there? - Passengers 26071
Forty-eight people took part in the winning trip to Paris. There were 4 more family members than people who won the trip. People who did not win the trip but bought the trip from one of the winners were 6 less than half of the passengers on the bus. How m
- Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords. - Consecutive 26031
Five consecutive numbers give the sum of 220. Identify the smallest of them. - Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long. - Book reading
Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier? - Everything 25961
They have a third of everything in the kit store. Pepin has 1,200 crowns saved and wants to buy a space robot kit, which costs 1,950 crowns before the discount. How many crowns does he still have to save?
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