Unit 2 Lesson 1 - Equations and Their Solutions.pdf

Choice 3 is not an equation because it does not

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Choice (3) is not an equation because it does not express an equality between two expressions Exercise #2: Consider the equation . (a) Why can‛t you determine whether this equation is true or false? (b) If , will the equation be true? How can you tell? (c) Show that makes the equation true. Remember to think very carefully always about your order of operations. We cannot determine if this is a true or false equation because its truth will depend on what value of x is used to evaluate the expression. Since 2 does not equal 5, this equation is false for an x value of 5. Since 4 does equal 4, this equation is true for an x value of 6.
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4 Solutions to Equations A value for a variable is called a solution to the equation if, when substituted into both expressions, results in the equation being true . This concept of the solution to an equation is amazingly important . It implies that you can always know when you have solved an equation correctly. As long as you can check the truth of the equation with arithmetic, then you will know if your value (of x often) is correct.
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