Equations practice problems - page 62 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4232
- Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka, only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan, and how many are Marie - Perpendicular 41811
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Miguel
Miguel and Kat are reading the same book. Miguel reads three times as many pages of the book as Kat. Together they read 48 pages. Write an equation that we can use to find how many pages Kat read. - Jordan
Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with his classmates (and himself). Answer the questions to help Jordan decide
- Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term. - Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A - No solutions
Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions? - The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - Maturity value
IKEA Furniture can purchase furniture with a three-year simple interest loan at 8% interest per year. What is the maturity value of a 3500 loan?
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Apples investment
The merchant bought a certain amount of apples and paid one denarius for every seven apples. The next day he sold all the apples for one denarius for five pieces and earned 12 denarii. How many apples did he originally buy, and how many did he have to inv - Guilders 40991
The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy? - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically.
- Pedestrians 40811
From Tatranská Lomnica to Ždiar, 40 km apart, two groups of tourists went opposite each other. Pedestrians left Tatranská Lomnica at 9:00 AM at an average speed of 4 km/h. Cyclists from Ždiar at 9:30 at an average speed of 15 km/h. When will they meet? At - Four bicycles
In the department store, they sell bicycles for families with children. Women's bicycles are 10% more expensive than men's, and children's bikes are a third cheaper than women's. The family paid a total of CZK 31,030 for two children's, one man's, and one - Determine
Determine the salary of a part-time worker if the employer deducted (taxes etc.) 840 eur from him, which was 6/50 of his salary. - Tributaries 40641
We would fill the water tank with one inflow in 3 hours and the other inflow in 2 hours. How long will it take for both tributaries to open? - Tennis racket
Tennis rackets became cheaper by 16% in winter. In the spring, the price increased by 15%. After this increase, it cost € 38. How much did the rocket cost in the winter before cheapening?
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