Equations practice problems - page 39 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: 4228
- Knitting a scarf
Rebecca is knitting a scarf. She runs out of yarn when the scarf is 1 1/2 feet long, which is ⅔ of the length she wants to make. How long is the scarf when finished? Write a multiplication and division equation to represent this situation. - Positive 70974
The sum of two positive numbers is 2.5. A smaller number is four times smaller than a larger number. What is the value of a smaller number? - Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order? - Shopping trips
Luke bought some fresh produce. He picked up two oranges and three bananas. The cost of Luke's shopping was $18. Georgia also went to the same shop and bought five oranges and seven bananas. The cost of Georgia's shopping was $44. Write and solve a system
- Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Peter 70794
Peter is x years old. Juraj is 2/5 older than Peter. They are 72 years old in total. How old is Peter, and how old is Juraj? - Polya's method
On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her backpack, Swiper jumped into her path and grabbed her bag. It stole half of her cookies plus two more. A bit shaken, Dora continued home. Before she had a ca - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Tributaries 70734
The pool would fill with three identical tributaries in 52 hours. After 20 hours, two more inlets were added. How many hours did the pool fill up?
- Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Madam 2
Madam Lowa bought four cakes and four puffs for $16. Each cake costs $0.50 more than each puff. How much did one puff cost? - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Improvements 70344
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task?
- Performance 70314
Of the 17-member team, two workers fell ill. By what percentage do others have to increase their performance to do at least as much as when the team is working in full force? - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Directions 70274
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - Kilometers 70234
We're going to Grandma's. We have already driven 30 km. We have 1/7 of the way ahead of us. How many kilometers is Grandma from us?
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