Equations practice problems - page 191 of 241
Number of problems found: 4815
- Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - Rectangle area
The dimensions of the left rectangle are 4 cm and (x+1) cm. The right rectangle consists of two rectangles: the upper one with dimensions of 3 cm and x cm and the lower one with an area of 7 cm². We know that the area of the left rectangle is the same as - Number increases
We increased the unknown number by 29% once and 41% the second time. The difference between the new numbers was 420. What was the unknown number? - Equation and inequality
Example1: Solve a linear equation and perform a test: 6x- (3x + 2) = x-8 Example 2: Solve a linear inequality: 3y + 2 * (y + 1) ≥2y-7 - Equations
Solve the following equations without fractions: a) 5 (x-1) -7 = 17-3 (1-x) b) 3 (y-2) -4y = 2- (1 + 2y) - Cyclist route The cyclist drove two-fifths of the way on the first day and three-eighths on the second day. He still has 45 km to go to the finish. a) What is the length of the whole trip? b) How many km has he covered?
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2. - Equation solving
Solve the equation: 12- (12-5x) = 3x + (x-4) - Equation
16 + 2x-7 = 5x + 10-4x - Summerjob
Milan saved a quarter of the money from the summer job, bought a winter jacket for half, bought gifts for his parents and siblings for a sixth, and still had CZK 400 left. How much did Milan earn? - Milk mixing
You have 12 liters of milk with a temperature of 20°C. How much milk at 80°C do you have to add to have milk at 30°C? - Shelf lengths
The carpenter cut two identical pieces into shelves from a 2-meter longboard. He cut the rest into four side shelves of 20 cm. How long are the shelves? - Magnet proportion
The brothers collect magnets. Ondrej has 32, 18 he kept. He gave the rest to his brother. In what proportion did they split the magnets? How much more should he give to Ondřej's brother so that the ratio of numbers is 3:5? - Student plans
One-third of the 8A class student wants to go to high school after finishing primary school, and half of the students are interested in the field of study. The remaining four have not yet been decided. How many students are there in 8A? - Triangle angles
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - Ticket sales
They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold? - A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Painting time
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself? - Equation solutions The solution to the equation 3x = 8x is a / no real number b / x = 8/3 c / x = 3/8 d / x = 0 e / infinitely many solutions
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