Equations practice problems - page 190 of 239
Number of problems found: 4769
- Equations
Solve the following equations without fractions: a) 5 (x-1) -7 = 17-3 (1-x) b) 3 (y-2) -4y = 2- (1 + 2y)
- Three-eighths 3533
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: 3525
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?
- Identical 3518
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?
- Proportion 3514
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?
- Interested 3512
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?
- Right-angled 3511
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.
- Performance 3510
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?
- Together 3491
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?
- Infinitely 3489
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
- Grandmother
Grandmother wants to give the candies to grandchildren so that when she gives five candy everyone, three are missing, and when she gives four candies, 3 are surplus. How many grandchildren have a grandmother, and how many sweets do they have?
- Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume.
- Calculated 3465
The master calculated that six looms would weave the ordered fabric in 15 hours. One condition appeared. How long before the ordered substance matches the remaining states?
- Original reduce
If we reduce the unknown number by 469, we get 65% of the original number. What is the original number?
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