Equations practice problems - page 30 of 228
Number of problems found: 4560
- Grandmother 82543
Michal is saving for a new computer. His parents gave him 130 euros, which was 26 percent of the total amount. He received 20 percent of the price of the computer from his grandmother, and his aunt added another 35 euros. How many euros does Michal still
- Roofers 82541
Three roofers cover a third of the roof in 10 days. In how many days would 5 roofers cover the entire roof at the same rate?
- Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas.
- Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned?
- Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1.
- Together 82509
The boys are 235 cm tall together. Pepa is 25 cm shorter than Petko. How tall are the boys?
- Subtracted 82507
I think two numbers. Their ratio is 5:7. If 3 is subtracted from the first and 7 from the second, then the ratio is 6:7. What number was I thinking?
- Misha 82482
Misha the bear slept 60 hours in one week. More than he was awake. How many hours per week did Mišo sleep?
- Taking 82481
There were pears in the basket. I took a third of them, which was 6 pears. How many pears were in the basket before taking it?
- Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many
- Denominations 82479
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there?
- Determine 82478
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line.
- Calculate 82472
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.
- Rectangle 82456
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle.
- Originally 82448
The bicycles were sold for ½ the original price, that is for 5,600 CZK. How much did it cost originally?
- Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class?
- Grandmother's 82432
Filip traveled 15 km from Monika's house to his grandmother's village. Monika can visit him. They meet at the point where the bikes arrive. They both left the house at 9:00. At what time did they meet when Philip was walking at a speed of 19 km/h and Moni
- Increased 82424
If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product?
- Remaining 82419
Seven pavers would pave the square in 15 shifts. After five shifts, two pavers fell ill. How long will it take for the remaining pavers to finish the job?
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