Algebra - practice problems - page 2 of 292
Number of problems found: 5829
- 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 - 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)}. - 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. - 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.
- Five and four
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? - Find value Find value of x: x/5+x/2=-1/5-3x/2
- 37 pens
Thirty-seven pens and 53 pencils together cost 95.5 USD, while 53 pens and 37 pencils together cost 111.5 USD. Find the cost of a pen and a pencil. - Petrol, fuel
In a car meter shows that it has kept oil 1/5 of its fuel capacity. When 22 liters of petrol is filled the meter went on 3/4 of its capacity. Find the capacity of the car.
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