Visual Algebra:
(XY Pegboard)
https://play.google.com/store/apps/details?id=com.nummolt.visual.algebra
XY Pegboard:
Help tool to solve problems graphically
linear, quadratic, cubic and more....
TRAINS CROSSING: A train leaves Washington at 5 p.m. and arrives in New York at 9 p.m. Fast train leaves New York at 6 p. m. and arrives in Washington at 9 p. m. What time do they cross? At what place of the travel?
TRAINS
CHASING: A train leaves New York at 5 p.m. and arrives in Washington at
10 p.m. Fast train leaves New York at 6 p.m. and arrives in Washington
at 9 p.m. m. What time does it reach the first one? Where on the trip?
WATER TANK: The main faucet fills the pool in 5 hours, a second auxiliary faucet fills it in 8 hours and the drain empties it in 10 hours. If we leave the faucets and the drain open, in how many hours will the pool fill up?
PAINTERS: A painter would paint the walls of a house in 8 hours. A second painter would paint them in 12 hours. How many hours would it take the two painters to paint the house?
CLOCK HANDS OVERLAPPING: The hands of a clock overlap many times every 12 hours. At what point do they overlap for the first time after 12 o'clock? And the following?
AGES: The ages of two people add 18. The multiplication of the numbers that correspond to their ages is 56. What are their ages?
GARDEN: A small garden measures 7m. by 11m. We add around a perimeter path of fixed width. The garden with the path has grown 63m² How wide is the new perimeter path?
SQUARE GROWING: If the side of a square grows 4cm. and still is a square, then the area grows 64cm². Which was the original side size of the square?
NUMBERS: A number multiplied by the next number is 56. What are the numbers?
BOX: We want to build a 3 cm high square box containing 48 cm³. How long will the side of the base be?
CUBOID: We have a cube, and we make it grow 1m. in the first dimension, 2m. in the second dimension and 3m. in the third dimension. The original volume has increased by 52m³. What was the side of the original cube?
DIRECT RULE OF 3: We need 3 cans of paint to paint 2 rooms. How many cans of paint will we need to paint 6 rooms?
INVERSE RULE OF 3: 2 big printers print and bind 1600 books in 8 hours. How many big printers would we need to print and bind 2400 books in 6 hours?
TRAPEZOID: The parallel faces of a trapezoid measure 3 and 9 and the distance between parallel faces is 7. Split the surface of the trapezoid in two of equal surface with a parallel line to both already parallel. How far is the dividing line from the shorter parallel face?
Here is a cube made of magnesium and wolfram: Density of Mg = 1.7 Density of Wolfram = 19.3 Both cubes weight the same. Size of the tiny cube made of wolfram?
Doubling the cube: "When suffering from the plague of eruptive typhoid fever, consulted the oracle at Delos as to how they could stop it. Apollo replied that they must double the size of his altar which was in the form of a cube".
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