Quadratic equation + basic functions - practice problems - page 7 of 8
Number of problems found: 158
- Apples
A 2 kg of apples costs a certain sum of money. This sum equals the number of kilograms for which we pay 72 CZK. How much is 1 kg of apples? - Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years. - Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The area of the trapezium is 128 cm². Calculate the length of the base and the height of the trapezoid.
- Substitute 2633
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Quadratic function 2
Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4) - Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4) - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters. - Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends? - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% length of the second leg, and its area is 24 cm².
- Difference 1632
The difference between the two numbers is 7. Their product 144. What are the numbers? - Do you solve this?
Determine area S of a rectangle and the length of its sides if its perimeter is 102 cm. - QuizQ2
The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is five times greater than the first, and neither of the numbers is not equal to zero. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
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