Algebra - practice problems - page 2 of 312

Number of problems found: 6224

Repeating to infinity
How do I express 0.99999999… as a fraction? (nine repeating) Additional questions: Can you write 0.9999… repeating as a fraction? How do you convert 0.9 repeating into a fraction?
Twice the unknown
I am twice a certain number. If 8 is subtracted from me, the result is 6. What am I?
5 years
5 years ago, a father's age was three times the age of his son. In 5 years' time, the father's age will be twice the age of his son. Find their current ages.
Money exchange
A told B, "If you give me 1/3 of your money, I'll have $50." In turn, B told A, "If you give me $9, we'll have the same amount." Find how much money each of them has.
The sum 50
The sum of five consecutive integers is 385. Which one of these five integers is prime?
LCM and HCF 3
LCM of two integers is 1237. What is their HCF?
System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4
Two games
In a class of 65 students, 30 students play cricket, 20 students play tennis, and 10 students play both games. Then, find the number of students who play neither.
Simple equation 12
Three times a number, divided by 2, plus 5 equals 20. Find the number.
A tank 3
A tank is 3/5 full of water. 50 liters more of water is required to fill the tank, how many liters of water can the tank hold?
Big cities
City A has a population of 136000 which is decreasing at the rate of 2400/yr. City B has a population of 84000 which is increasing at the rate of 1600/yr.In how years will the population of two cities become equal?
15 years
15 years hence, a man will be just 4 times as old as he was 15 years ago. Find his present age.
Numerators and denominators 2
A fraction becomes 2 when 1 is added to both the numerator and denominator and it becomes 3 when 1 is subtracted from both numerator and denominator. Find the difference of numerator and denominator.
Solve 28
Solve the following system of linear equations: x + 2y - z = -1 3x + 8y+ 2z = 28 4x + 9y + z =14
Blank fraction
Find unknown fraction: 3/5* blank=2/3
The library
A certain number of people agreed to contribute equally to buy books worth $12000 for a school library. Five people pulled out, so others agreed to contribute an extra $100 each. Their contribution enabled them to buy books worth $ 2000 more than they ori
Two sets 2
If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements, how many elements does X ⋂ Y have?
The sum 48
The sum of a number and its reciprocal is 5.2. Find the number.
A positive
A positive number plus itself squared is 240. What is the number? Please show your work.
Three athletes
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point

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