Equations practice problems - page 4 of 211
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: 4211
- The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y. - Solve 25
Solve for a in (a+8)/2-3(a+10)/5=1. - 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? - The 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. - Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - The balance 2
If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment? - Years 3
How long will it take for a given sum of money to triple itself at 20% annual compound interest? - Flower shop
In a flower shop, a bunch containing 3 tulips, 2 roses, and 1 daffodil cost $10.79. A different bunch containing 1 tulip, 2 roses, and 3 daffodils costs $10.13. A tulip costs 35 cents more than a rose. How much does 1 tulip and 1 rose, and 1 daffodil cost - 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? - Domino
Domino and Winnie share some biscuits. The ratio of biscuits between them was 4:3. Domino gave Winnie 5 biscuits, and the ratio changed to 1:2. How many biscuits are in total? - 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? - The length 18
The length of a rectangle is three times its width. Suppose the perimeter is 96 cm. Calculate the width of the rectangle. - Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept. - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B.
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