Algebra - practice problems - page 2 of 303
Number of problems found: 6056
- 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. 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. 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? 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? 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. 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. 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 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 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 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? 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. 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. 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 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
- X and Y  X and Y are positive integers. If X+Y+XY=32, what is the difference between X and Y? X and Y are positive integers. If X+Y+XY=32, what is the difference between X and Y?
- Two numbers at a ratio  If 1.5x = 0.04y, then find the value of {(y - x)/(y + x)}. If 1.5x = 0.04y, then find the value of {(y - x)/(y + x)}.
- Adjust numerators  If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 5/8. If the numerator and the denominator of the same fraction are each increased by 1, the fraction becomes 1/2. Find the fraction. If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 5/8. If the numerator and the denominator of the same fraction are each increased by 1, the fraction becomes 1/2. Find the fraction.
- Pole2  4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm is still in the mud. Find the full length of the pole. 4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm is still in the mud. Find the full length of the pole.
- Five and four  Five divided by four times the number is 0.25. What is that number? Five divided by four times the number is 0.25. What is that number?
- Land cost 2  If a 13/18 plot of land is worth 65000 EUR, what is the value of 3/5? If a 13/18 plot of land is worth 65000 EUR, what is the value of 3/5?
- Find value  Find value of x: x/5+x/2=-1/5-3x/2 Find value of x: x/5+x/2=-1/5-3x/2
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