Algebra - practice problems

Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.

Number of problems found: 5234

Guadalupe
Guadalupe bought snacks for her team's practice. She bought a bag of chips for $1.93 and a 15-pack of juice bottles. The total cost before tax was $32.83. Write and solve an equation which can be used to determine x, how much each bottle of juice cost.
Two equivalent fractions
2/4= what over 12
Two-thirds 82565
Karol spent half of his pocket money. He gave two-thirds of the rest to his friend Michal. He had 50 CZK left from his pocket money. A. Calculate how much money Karol gave Michal. B. Calculate how much money Karol received as pocket money.
Together 82509
The boys are 235 cm tall together. Pepa is 25 cm shorter than Petko. how tall are the boys?
Dostaneli
If we get 5% of the amount that Petr has in his wallet and 4% of the amount that Paul has with him, we will have 46 CZK. However, if we get 4% from Peter's amount and 5% from Paul's amount, we will only have 44 CZK. How many crowns do Petr and Paul have w
Misha 82482
Misha the bear slept 60 hours in one week. More than he was awake. How many hours per week did Mišo sleep?
Denominations 82479
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there?
Expensive 82475
The alarm clock, women's watch, and men's watch cost a total of 1370 CZK. How much does each item cost if a women's watch is six times more expensive than an alarm clock and a men's watch is 200 Sk more expensive than a women's watch?
Equation: 32
Equation: 4.7m = 43.71 To isolate the variable on one side of the equal sign, divide both sides of the equation by simplifying.
Originally 82448
The bicycles were sold for ½ the original price, that is for 5,600 CZK. How much did it cost originally?
Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class?
Common denominators
Find the common denominator 5/6 and 1/3
Three equations
Find the solution to the equations x-y+z=-1 x+y+3z=-3 2x-y+2z=0
Purchased 82340
The company secretary bought stamps worth CZK 20 and CZK 15. The total number of purchased stamps is 120 and the secretary paid a total of 2265 CZK. How many stamps worth 15 CZK did she buy?
I read
I read 24 pages of a book. Three-fifth part of the book is still left for reading. How many pages does the whole book have?
Emily 2
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to represent Emily's number.
Four friends 2
Four friends attend a school play and pay $6.75 per ticket. Each also buys a healthy snack bag sold by the theater club. If the friends spent a total of $37.00, how much did each healthy snack bag cost, b?
Boiler 82273
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship?
LCM or HCF
Find the lowest common multiple of these two numbers: 105 226
Jason 4
Jason spent 1/2 of his money on paper and 1/3 of it on pencils. How much money did he start with if he had 15.00 left?

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