By Barbara Jund
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Extra info for Algebra success in 20 minutes a day
The multiplicative inverse of – ᎏ34ᎏ is – ᎏ43ᎏ. You probably get the idea now—you get the multiplicative inverse of a number by inverting the number. In other words, by turning it upside down! 42 Team-LRN – SOLVING MULTI-STEP EQUATIONS – A number times its multiplicative inverse will always equal 1. Thus, ᎏ45ᎏ · ᎏ54ᎏ = 1. Here’s how you use the multiplicative inverse to solve equations with a fraction in front of the variable: Example: ᎏ23ᎏx + 1 = 5 Subtract 1 from both sides of the equation. 2 ᎏᎏx + 1 – 1 = 5 – 1 3 2 ᎏᎏx = 4 3 Simplify both sides of the equation.
Remember, ab means a times b. The expression ab is one term because it is connected with an understood multiplication sign. The expression 3a + b + 2c has three terms. The expression 3ab +2c has two terms. Secondly, what are like terms and why are they important? Like terms have the same variable(s) with the same exponent, such as 3x and 10x. More examples of like terms are: 3ab and 7ab 2x 2 and 8x 2 4ab 2 and 6ab 2 5 and 9 You can add and subtract like terms. When you add and subtract like terms, you are simplifying an algebraic expression.
______ 1. a + 10 = 4 ______ 6. s – (–2) = 7 ______ 2. d – 7 = 8 ______ 7. –m + 5 = 1 ______ 3. x – 5 = –6 ______ 8. –b + 10 = 2 ______ 4. y – –10 = 3 ______ 9. –x + 12 = –5 ______ 5. t – 8 = –3 ______10. c – –12 = –5 Checking Your Answers You can use an answer key at the end of the book to check your answers. However, in the world of work there is no answer key to tell you if you got the correct answer to an equation. There is a way to check your answer. When you replace the variable with your answer, you should get a true statement.