By Jane Cook
The first step in complicated math is now the simplest.
Alpha educate your self Algebra I in 24 Hours presents readers with a dependent, self-paced, straight-forward instructional to algebra. it is the excellent textbook significant other for college kids being affected by algebra, an excellent primer for these trying to get a head begin on an upcoming type, and a welcome refresher for fogeys tasked with assisting out with homework, all in 24 one-hour classes.
• Algebra is the second-most well known mathematic path for school- certain highschool scholars
• approximately all college-bound highschool scholars now take algebra
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Extra resources for Alpha Teach Yourself Algebra I in 24 Hours
Using the Properties of Real Numbers You already used some of these properties in Hour 3 when you learned how to add positive and negative numbers. Look back at an example from that section: 9 + (–2) + (–1) = To find the answer, which is 6, you probably first added –2 to –1, getting –3. You then combined that with 9 to get your final answer, 6. You were actually using the associative property of addition when you chose to add the two negative terms first and then added the answer to 9. 35 36 Hour 4 Or maybe you combined the 9 and –2 first, getting 7, and combined that 7 with –1 to get the correct answer, 6.
A real-life example of this situation is when you owe someone $1 and then borrow another $10. Now you owe this person a total of $11. But because it’s a debt, it’s really –11. You can see clearly that adding –1 and –10 will give a sum of –11. Let’s get back to the algebra. The rule is that, when adding negative numbers, you remove their negative signs, add them, and put the nega tive sign on the final answer. Mathematically, adding two or more nega tive numbers gives a negative number. FYI In algebra problems, parentheses surrounding more than one term affect the order of operations (as described in Hour 1), but when used around a single term, they exist only to separate or emphasize the terms and are not used as grouping symbols.
Write the following expressions in algebraic form: 2. 3. 4. 5. –8 is greater than or equal to –9 0 is less than or equal to 5 5 is greater than 0 10 is greater than –10 The Real Number Line Write the following algebraic expressions in words: 6. 7. 8. 9. 12 b 14 –6 > –10 –5 r –8 3b3 Ordering numbers means you use the inequality symbols you just learned (< and >) to correctly write algebraic sentences. Is 4 less than, greater than, or equal to 1? Because 4 is less than 1, 4 < 1 makes a true statement.