Check solutions of Equations
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Lesson Summary:
In this lesson, you will learn how to determine whether a given number is a solution to an equation. The steps are to replace the variable with the number, simplify each side of the equation, and check if both sides simplify to the same number. If they do, then that number is a solution. You will see examples of equations being checked for solutions, including cases where a given equation has multiple solutions or no solutions at all. The lesson emphasizes the importance of checking your work in algebra to ensure accuracy.
Lesson Description:
Shows how to decide if a given number is a solution to an equation.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you check solutions of equations?
- How do you know if a number is a solution to an equation?
- What are the steps for figuring out if a number is a solution to a given equation?
- How do you know if 2 is a solution to 3x + 9 = 2x + 11?
- Is 6 a solution to 2x + 7 = 3x?
- Is 5 a solution of x - 3 = x - 3?
- Is 10 also a solution to x - 3 = x - 3?
- How can you tell if 2/3 is a solution of 18x = 12?
- Is 13 a solution to x - 6 = x?
- Can some equations have more than 1 solution?
- Are there some equations that have no solutions?
- How can you check if a number is a solution to an algebraic equation if there is an exponent in the problem?
- Is 2 a solution to x^2 + 5x = 14?
- Is 5 a solution of 2x^2 - 20 = 6x?
- Is 3 a solution to x^2 = 5x?
- How do you check your work in Algebra?
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Staff Review
This lesson explains the steps for how to determine whether a given number is a solution to an equation. A whole bunch of example problems are shown in this video. This method is a very important step for solving any equation in Algebra to make sure that you solved it correctly.
