Unit 2 Lesson 1 - Equations and Their Solutions.pdf

# Choice 3 is not an equation because it does not

• Homework Help
• 9

This preview shows page 3 - 5 out of 9 pages.

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.

Subscribe to view the full document.

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.

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern