Practice Checking Solutions in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Checking solutions means substituting candidate values back into the original condition to verify they satisfy it.
Treat your answer as a hypothesis and test it by substituting back into the original equation to verify.
Example 1
easyCheck whether x = 5 is a solution of 2x - 3 = 7.
Example 2
mediumSolve \sqrt{x+3} = x - 3 and check for extraneous solutions.
Example 3
easyIs x = -2 a solution of x^2 + x = 2?
Example 4
mediumSomeone solved \frac{x}{x-2} = \frac{2}{x-2} and got x = 2. Is this valid?