Algebra - practice problems - page 6 of 305

Number of problems found: 6082

Equation 94
If 9 more than twice a number is 3 less than 3 times the same number. What is the number?
The pole in the mud
4/7 of a pole is in the mud. When 1/3 of it is pulled out, an 8 m long piece of the pole still remains in the mud. What is the full length of the pole?
Two fractions
The fractions 10/3 and 10/X give the same answer when multiplied as they do when they are added. Find the value X.
Fredrik
Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
Evaluate complex eq
If z=x+yi and 3x+(3x-y)i=4-6i then z=
A man 14
A man gave 1/3 of his wealth to his wife, 2/3 of the remaining to his daughter, and divided the remaining between his two sons equally. If the daughter received Rs 3000000 more than one of the sons, find the value of the father's property.
Elton
Elton is n years old now. How old was he 8 years ago? How old will he be 16 years from now? If his age in 16 years time will be four times his age 8 years ago, how old is he now?
A man 13
A man traveled 7/10 th of his journey by train, half of the remaining by bus, and the remaining 30km by car. Calculate the length of the whole journey.
A barrel
A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh?
There 33
There is a number that is three-fifths the total of the other number. When four is added to one of the numbers, their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Express 71
Express 2 minutes 30 seconds as a fraction of 3/4 hours.
I added
I added 10 to 3 times a number; the result is equal to 4 times the number. What is the number?
Fruits
(I) bought three apples, two oranges, four pears, and five bananas, which in total cost £3.73. (i) I bought twenty-one apples, no oranges, eight pears, and fifteen bananas, which in total cost £7.57. (i) I bought one apple, eighteen oranges, fourteen pear
One-third of a drum
1/3 rd of a drum is filled with water. Needed another 60 l of water to fill the whole drum, then what is the capacity of a drum?
Petra 4
Petra had 20 meters of cloth. She made 3 dresses of the same size, and two meters were left. How many meters did each dress take?
The 8th
The 8th term of GP is greater than the 5th term, and the 10th term is 10 times the 2nd term find: 1) the common ratio 2) 20th term
Belle
Belle is planning to buy a cake and a dress as a gift for Alice. The price of the cake is Php 40.00 more than half the price of the dress. The total cost of the cake and the dress is 670.00 Php. How much is the cake?
Fraction equation
3/5 of a number is 6, more than 1/5 of the number. What is the number?
On monday 2
On Monday, 1/4 of the workers were absent. On Tuesday, only 1/6 of the workers were absent. If 12 more workers were absent on Monday than on Tuesday, how many workers are there altogether?
Solve 24
Solve the following equation and answer as a reduced, mixed number. Then, place the correct number in the box provided. 4(2x -3) + 8(x - 4) = 2(2x + 6)

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