Equations practice problems - page 146 of 239
Number of problems found: 4780
- Evaluation of expressions
If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³ - Girls
The boys and girls in the class formed groups without the rest of the five, two girls and three boys. Six girls are missing to create mixed pairs (1 boy and one girl). How many girls are in the classroom? - Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today? - Expression with powers If x-1/x=5, find the value of x4+1/x4
- Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Taxi
A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation using two variables representing the total cost of the taxi ride. - Distance 6460
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go? - Together 6452
A father aged 56 has three sons, 28,22,16. When will a father be as old as his sons together? - Together 6451
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? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - 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? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box? - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Initially 6442
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? - The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Pupils 6434
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there? - The math test The math test contains 20 problems. For each correctly solved problem, the solver gets 3 points. For each incorrectly solved or unsolved problem, 2 points are deducted. Ondrej got 25 points. How many problems did he solve correctly?
- Young mathematician One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou
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