Quadratic equation - high school - practice problems - page 15 of 23
Number of problems found: 457
- Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions? - Simultaneously 5610
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1 - Unknown variable
Find the number x, which if it increases by 2, then its square increases by 21 percent. - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n - Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient. - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Variable
Find variable P: PP plus P x P plus P = 160 - Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows? - Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Tableau pyramid
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the - Parallelogram 5027
Calculate the area of the parallelogram if the side sizes are a = 80, b = 60, and the size of the diagonal angle is 60°. - Equation 5013
Solve the equation in quotient form: 6x * (3x-2) / x + 7 = 0 - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9)
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