Equations practice problems - page 145 of 236
Number of problems found: 4716
- From Pardubice
Mrs. Černá left Pardubice and rode to Rychnov nad Kněžnou at an average speed of 60 km/h. At the same time, Dáša rode her bicycle from Rychnov nad Kněžnou and rode to Pardubice at an average speed of 25 km/h. The place on the road where they passed was 10 - Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers? - Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - Remainder 6493
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 - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Repair pipe
Twenty workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last? - Daughter's 6484
Jana is four years old. Her father is six times more aged. How many years will a father's age be three times his daughter's?
- Buns and toasts
Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh? - Klara
Klara and Jitka went on a hiking trip at 13 o'clock at a speed of 5km/h. At 14 o'clock, Thomas rode on the bike at an average speed of 28 km/h. How many hours and at what distance from the beginning of the road did Thomas catch the two girls? - 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?
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