Equations practice problems - page 98 of 251
Number of problems found: 5001
- 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. - Variation element increase
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? - Rectangle area function
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. - Table side calculation
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 1,008 g. 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. - Number multiplication puzzle
The number x decreases by 10, the result is multiplied by six, and you get the number 18 - Bun basket calculation
There were buns in the basket on the table. Josef ate half of the half, Eve ate the rest, Kate 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 Miller excavated the gas pipeline in 15 hours, worker Lawrence in 12 hours, and worker Spencer in 10 hours. After how many hours of joint work will the excavation be completed? - Barrel water remaining
There were 50 liters of water in two barrels. Kate took several liters from the first barrel and watered the vegetables in the garden. From the second barrel, Kevin took as much water as was left in the first barrel and watered the flowers. How many liter - Class boy girl
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? - Trip passenger calculation
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 number sum
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 space diagonals are 24 cm and 25 cm 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 she have to read per day if she wants to finish three days earlier? - Robot kit savings
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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