Absolute value - practice problems - last page

Number of problems found: 131

Null points
Calculate the roots of the equation: -1 |x +7| +1 |x +4| -2 |x -6| = 63
Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much?
Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
Compass
What angle is between directions SSE (SouthSouthEast) and SW (SouthWest) on the compass?

Angle between lines
Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r₁=32 cm, r₂=47 cm, and its distance v=21 cm.
ABS CN
Calculate the absolute value of the complex number -15-29i.
Geometric progression
Fill 3 numbers between 5 and 405 to form a geometric progression.
Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL) if the track is 158 km long.

Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
Speed of Slovakian trains
Rudolf took the train from the station 'Nitra' to 'Nové Zámky'. In the train timetables found train Os 5004 : km 0 Prievidza 14:25 4 Koš 14:30 14:31 9 Nováky 14:36 14:37 13 Zemianske Kostoľany 14:42 14:43 16 Bystričany 14:47 14:48 19 Oslany 14:51 14:51 23

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