# Absolute value - 9th grade (14y) - examples

1. Cylinders
Area of the side of two cylinders is same rectangle of 50 cm × 11 cm. Which cylinder has a larger volume and by how much?
2. Speed of Slovakian trains
Rudolf decided to take the train from the station 'Trnava' to 'Zemianske Kostoľany'. In the train timetables found train R 725 Remata : km0Bratislava hl.st.12:574Bratislava-Vinohrady13:0113:0219Pezinok13:1213:1346Trnava13:3013:3263Leopoldov13:4514:0168H
3. Vector
Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
4. Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
5. Circle
Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?
6. Cube - wall
V kocke ABCDEFGH je ?. Aký je povrch kocky?
7. Vectors
Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
8. Two cars
Car A1 goes at average speed of 106 km/h and the second car A2 goes at 103 km/h. How many second will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
9. 3d vector component
The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
10. ABS
What is the value of ? ?
11. Equation with abs
Solve this equation with absolute value member: ?
12. Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis?
13. Coordinate axes
Determine the area of the triangle given by line -7x+7y+63=0 and coordinate axes x and y.
14. Three points
Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?

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