Equations practice problems - page 184 of 241
Number of problems found: 4815
- Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm. - Geometric progression
Find the quotient and the sixth term of GP if a1 = 420, a1 + a2 = 630. - Arithmetic progression
Determine the fourth term and the difference AP if a1 = 3.2 and a2 + a3 = 7. - Unknown number 7
16% of the unknown number is 21 less than the unknown number itself. Determine the unknown natural number. - Exponent value
Determine what z equals in the expression 169^z = 2 · 6.5 - Exponent equation
What is the solution of the equation: 2^x = 2/64 - Geometric progression
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6 - Work time
Josef would do the work himself in 5 hours. Josef and Michal would do the work together in 3.5 hours. Determine how long it would take Michal to do the job independently. - Number difference
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers. - Exponential equation
Determine the value of having y in the expression (3^y): (4-1)=36. Unknown y is a natural number greater than zero. - Unknown number 5
Daniel thinks of an integer. When he changed this number to a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks. - Exponent value
Determine the value of f: 0.49^f = 0.7 - Number calculation
1/6 of y equals 8.6. Determine y. - Exponential equation
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5 - Unknown number 6
Determine x if 1/6 of x equals 2/5 of the number 24. - Number puzzle
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean? - Work time
Michal would cut the fence himself in 12 hours. It would take Michal and Juraj 8 hours together. Determine how long it would take for Juraj to do the job. - Number ratio
Dano had a natural number in mind. If he changed this number to a 2:5 ratio, he would get the number 24 smaller. What number did Dano think? - School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school? - Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig
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