Algebra - math word problems - page 78 of 312

Number of problems found: 6224

Equation solving
Solve the equation (y + 5 / y-3) + (y + 3 / y-5) = 3
Turtle Daughter Age Difference
Turtle Dorota is 158 years old, and her daughter Dorotka is 71 years old. How many years ago was Dorota 30 times older than her daughter?
Number product increase
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors.
School lunch pupils
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a
Evaluation of expressions
If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³
Expression with powers
If x-1/x=5, find the value of x⁴+1/x⁴
Father and Sons Age
A father aged 56 has three sons, 28,22,16. When will a father be as old as his sons together?
Ages Four Years Ago
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul?
Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden?
Algebraic Expression Expansion
Edit expression: (a-2) * (a-b + 5)
Tickets Sold Fraction
The salesman had several tickets. He sold a third to the first customer and a third to the others. He has six tickets left. How many did he initially have?
Brick scale balance
Not one bowl of isosceles scales is two bricks and weighs 0.5 kg. The second bowl is half a brick and weighs 5 kg. How much does the whole brick weighs when the scales are in balance?
Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence.
Consecutive Numbers Product Difference
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers.
Hotel rooms
In the 45 rooms, there were 169 guests. Some rooms were three-bedrooms and some five-bedrooms. How many rooms were there?
Unknown number
Find a number that is by eight larger than its third.
Unknown number x
If 5/18 of some number = 425, what is the value 13/18 of this number?
Hockey card donation
Juraj donated three-fifths of his collection of hockey players to his friend Josef. He has 100 cards left. How many cards did Juraj initially have in his collection before the donation?
Trip Minibus Cost Reduction
The pupils traveled on the trip by minibus, while the cost per participant was 15 euros. If they occupied the last 4 free seats in the minibus, the cost per participant would be reduced by 3 euros. What was the total cost of minibus transportation?
Sponsor
The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they answered: "You have so many that none of you will have more than ten balls, and all will have the same number o

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