Download PDF by LearningExpress Editors: Algebra in 15 Minutes a Day (Junior Skill Builders)

By LearningExpress Editors

ISBN-10: 1576856739

ISBN-13: 9781576856734

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Example text

5. There are two terms, because xy and 2z are separated by addition; x, y, and z are all variables. Practice 2 1. In the term 5x3, the number 5 multiplies x3, so 5 is the coefficient and x is the base. The exponent of the base is 3. 2. The term z5 has no number in front of z5, so the coefficient of the term is 1. The base is z and the exponent is 5. 3. The term 3b can be rewritten as 3b1 . Since b is multiplied by 13 , the coefficient of the term is 13 and the base is b. b has no small number written above it and to the right, so it has an exponent of 1.

What is –5(3a2 – 24) when a = 3? SIMPLIFYING EXPRESSIONS Some expressions may have only one variable, but that variable appears more than once in the expression. For instance, 8x + 2x, or 2(j – 6) – 7j. We have two choices for evaluating these expressions. We can replace every occurrence, or instance, of the variable with its value, or we can simplify the expression first and then replace the variable with its value. Example What is 5v – 8v when v = 10? First, try replacing every v with 10: 5(10) – 8(10).

First, check that we have like terms. Both terms have a base of e and an exponent of 3, so we are ready to subtract. Next, combine the two different signs into a single minus sign: –6e3 – (+4e3) = –6e3 – 4e3. Now, subtract 4 from –6: –6 – 4 = –10, so –6e3 – 4e3 = –10e3. Practice 3 1. 11g9 – 9g9 = 2. qxd:JSB 32 12/18/08 11:45 AM Page 32 algebra basics 3. 18n4 – (+13n4) = 4. h2 + (–7h2) = 5. –8z3 – z3 – z3 = 6. 16t15 – 9t15 – (+t15) = 7. 3r–2 – 4r–2 + (–7r–2) = ADDING AND SUBTRACTING UNLIKE TERMS This might be the shortest topic in this book—because you cannot add or subtract unlike terms.

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Algebra in 15 Minutes a Day (Junior Skill Builders) by LearningExpress Editors


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