🏅 Top 10 in the last 30 days
No results yet. Be the first!
Test
The process of solving an equation typically involves several steps, including rearranging the equation, isolating or revealing the unknowns, performing operations on the equations, and determining the final value.
Test results will be stored only on this device in your browser’s local storage. They will not be sent to the Catestia.com database. If you disable this feature, all saved history will be permanently deleted.
Disabling solution history will permanently delete all test results saved on this device. Are you sure you want to continue?
Add b to both sides of a × x − b = c. Then a × x = c + b, so x = (c + b) ÷ a. Check in the original equation.
Subtract b from both sides of x ÷ a + b = c. Then x ÷ a = c − b. Multiply both sides by a: x = (c − b) × a.
If x ÷ b = c, the unknown dividend equals the divisor times the quotient: x = b × c. Check by division.
For (a + b × x) × c = d, first divide both sides by c. Then subtract a and divide by b: x = (d ÷ c − a) ÷ b. Follow this order of operations.
Solve a × x + b = c using inverse operations: subtract b from c, then divide the difference by a. Thus x = (c − b) ÷ a. Substitute the result into the original equation to check.
Combine the x terms: a × x + b × x = (a + b) × x. Subtract the constant c from the right-hand side and divide by a + b: x = (d − c) ÷ (a + b).
Add b to both sides of a × x − b = c. Then a × x = c + b, so x = (c + b) ÷ a. Check in the original equation.
Solve a × x + b = c using inverse operations: subtract b from c, then divide the difference by a. Thus x = (c − b) ÷ a. Substitute the result into the original equation to check.
Combine the x terms: a × x + b × x = (a + b) × x. Subtract the constant c from the right-hand side and divide by a + b: x = (d − c) ÷ (a + b).
Divide both sides of a × (x − b) = c by a to obtain x − b = c ÷ a. Add b: x = c ÷ a + b. Check the solution in the original equation.
Time left: 00:00:00
Top 10 registered students. Only each student’s best result in the period counts.
No results yet. Be the first!
A solution is a value of the unknown that makes both sides equal. Transform an equation by performing the same operation on both sides and using inverse operations.
Simplify both sides, isolate the unknown, calculate its value and substitute it into the original equation. Verification is especially important when parentheses, fractions or several operations are involved.
This test develops understanding of volume and capacity and the distinction between them. Tasks involve space occupied by solid objects, selection of suitable cubic or capacity units and simple practical calculations.
This test reviews the four basic operations with natural numbers. Students add, subtract, multiply and divide, apply the order of operations and check whether a result is consistent with the conditions of the problem.
Percentage tasks are mathematical problems where one needs to find a part or a percentage of the whole based on certain conditions or given values.
Your test result is
????
We've marked wrong answers in red.
Try the test again and aim to improve your score!
Answered all questions ahead of schedule.
You can finish the test now or review your answers and complete the test later by pressing the appropriate button.
Scan and solve
Scan the QR code with a phone to open this test.
https://www.catestia.com/en/mathematics/6th-grade/solving-equations-test/5/