By Jane Cook
The first step in complicated math is now the best.
Alpha train your self Algebra I in 24 Hours offers readers with a dependent, self-paced, straight-forward educational to algebra. it is the ideal textbook spouse for college students being affected by algebra, a pretty good primer for these trying to get a head begin on an upcoming type, and a welcome refresher for fogeys tasked with supporting out with homework, all in 24 one-hour classes.
• Algebra is the second-most well known mathematic direction for school- sure highschool scholars
• approximately all college-bound highschool scholars now take algebra
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Additional info for Alpha Teach Yourself Algebra I in 24 Hours
Arrange the like terms together: x + 6x and –4 + (–9) + 8. Combining like terms gives the final answer: 7x + (–5) or 7x – 5 1 and 3 are reciprocals, so their product is 1. 1 · x = x 3 1 12 and are reciprocals, so their product is 1. 1 · y = y 12 1 Rewriting 14 as 2 · 7 m 2 7 x 2 1 x 2x 7 1 Rewriting 24 as 3 · 8 m 3 8 ab = 3ab 8 1 Distributing the gives 4 1 1 1 1 16a 24 44a 4 6 = 4a + 6 4 4 4 4 1 Rewriting –10 as –5 · 2 m 5 2xy = 2xy 5 Real Numbers: Properties and Rules 12.
Some of the properties are so basic that they seem unnecessary, and oth ers are more complex, but each plays an important role in algebra. Let’s begin with seven of the basic arithmetic properties, each followed by the same property in algebraic form. Hour 4 Real Numbers: Properties and Rules 34 Hour 4 C OMMUTATIVE P R OP E R TY In basic arithmetic, you can add or multiply two numbers in any order, and the answer will be the same. For example, 2 + 3 = 3 + 2 and 2 · 3 = 3 · 2. In algebra, you can add or multiply two algebraic values in any order, and the answer will be the same.
You may never need to refer to them by name, but you must be able to use them with ease as you make the transition from basic arithmetic to algebra. 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.
Alpha Teach Yourself Algebra I in 24 Hours by Jane Cook