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. So working with expressions, solving equations, systems of equations.Number of problems found: 6095
- Elimination method
Use the method of elimination to solve the following simultaneous equations. 5a − 2b = 14 2a + 2b = 14 - Carnival
Kevin is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $3.00. Kevin spent $18 altogether, and the number of games he played is 4 times the number of rides he went on. Write a system of equations that could be used - Two sons and man
A man's age is three times the sum of the ages of his two sons. After five years, his age will be twice the sum of the ages of his two sons. Find the man's current age. - Father and son
The age of a father is 5 times the age of his son. After 10 years, the age of the father will be 3 times the age of the son. Find the present age of both of them. - Amusement park.
A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking costs $16.75, and tickets cost $32.75 per person including tax. Write and solve an equation to determine the number of people who can go to - Circular track 3
Henry and Margo both start travelling around a circular track at the same time from the same point. Henry is riding his bike and Margo is walking. Henry takes 7 minutes to complete a lap, and Margo takes 12 minutes. How many minutes will pass until they m - Horses equation
Some men and an equal number of horses are travelling together. Half the men are riding the horses and the rest are walking alongside them. If the total number of feet on the ground is 70, how many horses are there? - Daughter and Mom A mother is seven times as old as her daughter. In 7 years' time, she will be five times as old as her daughter. How old is each of them?
- GP - negative term
The first term of a geometric progression is −3 and the square of the second term equals its 4th term. Find the 7th term of the progression. - Mother and daughter 6 A mother is six times as old as her daughter. In 6 years' time, she will be four times as old as her daughter. How old is each of them?
- Journey trip A man performs 2/15 of his total journey by rail, 9/20 by bus, and the remaining 10 km by bicycle. What is the total length of his journey?
- Last Friday
3/4 of the children were present at school last Friday. If 90 children were present, how many were absent? - Two friends 5 Two friends, X and Y: X is 36 years old and Y is 16 years old. In how many years will X be twice as old as Y?
- 4100 USD
$4,100 was distributed among 50 boys and girls. Each boy received $90 and each girl $65. Find the number of boys. - 5 yrs 5 years ago, the average age of Rasmi and Suravi was 20 years. Now, the average age of Rasmi, Suravi, and Mita is 30 years. What will be the age of Mita after 15 years?
- Reciprocal in equation
A positive number, when increased by 10, equals 200 times its reciprocal. What is the number? - Horses and hens
In a park, there are some horses and some hens. If the total number of heads is 68 and the total number of legs is 198, find the number of hens in the park. - Sarah 7
Sarah bought snacks for her team's practice. She bought a bag of chips for $1.56 and a 20-pack of juice bottles. The total cost before tax was $33.96. Write and solve an equation to determine how much each bottle of juice cost. - Expression - two variables
The formula with two variables is given: y = 5x + 38. Solve for x. - The supplementary angles
Two supplementary angles differ by 50°. Find the measure of each angle.
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