# Algebra - practice problems - page 2 of 282

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: 5626

- The difference 7

The difference between a proper fraction and its reciprocal is 7/12. Find the fraction. - Divisible by three

What least value must be assigned to the blank space so that the number 789_{563}is divisible by 3 - Father and son 10

Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages. - Students

In a school, 2/5 of the total number of students come by car while 1/4 by bus, and others walk to school, of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own. Find the total number

- An adventurer

An adventurer makes 2/5 of a car trip, 1/3 on horseback, and the rest on foot. He walks 80 km. What is the total length of your route? - Kevin and Mary

Kevin is 4 times as old as Mary was 2 years ago. In seven years Mary will be as old as Kevin is now. How old are they now. - Older or younger

The age of a man after 15 years is 4 times the age of that man 15 years before. Find his present age. - Empty rooms

In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory? - One muffin

Eight muffins and one drink cost $8.12. If the drink costs $1.24, find the cost of one muffin.

- Fraction money

5/8 of a sum of money is £1.10. What is the whole amount? - Fraction equation 3

A number minus one-ninth equals one-half. Find the number. - Soup mixes

You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars, and you receive the remaining amount. You sell 16 soup mixes for a total of (16x+96) dollars. How much money do you receive for each soup - Farmer 8

Farmer George cultivated 7/12 of his land with oranges and 1/5 of the remainder with cherries, and the remaining 40 acres he planted with cash crops. How much land did the farmer cultivate in all? What fraction of land does she plant with cherries? - The difference 6

The difference between a number and 15 is multiplied by -3, and the result is - 30

- Prealgebra ex

Find an unknown number/mixed number N in the given equation: N + 3 1/2 = 6 3/4 - Violin and dance lesson

Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - The population 2

If 3/5 of a village's population is 366 persons, what is the village's population? - Addition method

Solve for the variables by substitution or addition method: x + 3y = 19 5x + 3y = 35 - The land 3

A farmer uses 1/3 of his land to grow cassava, 2/5 to grow maize, and the rest for vegetables. If the area used to grow vegetables is 10 acres, what is the total area of the land?

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