Equations practice problems - page 7 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: 4215
- Tadeo
Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend? Write a system of equations that represents the situation. Let x r - Kevin 4
Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin? - Stephen
Stephen was thinking of a number. Stephen halves the number and gets an answer of 44.3. Form an equation with x from the information. - The product 12
The product of 2 1/4 and another fraction is 7 1/2. Find the other fraction.
- Complex equation
If c - d = 2 and c = 12 + 7 i, find d. Write the result in the form of a + bi. - The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? - Laila
Laila is 3/2 m tall, which is 4/5 as tall as Shanika. How tall is Shanika? What formula or equation does represent this situation? - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl
- Salt water
The ratio of water (in liters) to salt (in grams) needs to be 3 to 2. If we add 10 grams of salt, how much water do we need to add? - 56.9 divided
56.9 divided by 10 missing exponents = 0.569 - Solve 22
Solve the equation with two ratios: x:14=28:196 - 440 meters
440 meters is 1/4 of the way around a race track. How far is it around the whole race track? - Three mixed
5 1/4 is added to a number, and the answer is 11 1/2. What is the number?
- Solve 20
Solve an equation with fractions: 5 1/2 - blank equals 23/4. - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - A man 10
A man gave 1/6 of his SSNIT benefits to his aged mother, 1/5 to his father, and 1/2 to his wife. If he still has 400 left, which he distributed among his four sons. Calculate a) his total SSNIT b) the amount is given to his mother c) the amount is given t - The mean
The mean of four numbers is 5, and the mean of three different numbers is 12. What is the mean of the seven numbers together? - Solve 19
Solve equation with fractions: 1/3+what=1/5
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