By LearningExpress Editors

ISBN-10: 1576856739

ISBN-13: 9781576856734

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**Example text**

Then, we add: 30 + 4 = 34. If we were to add 5 and 4 ﬁrst and then multiply by 6, our answer would be 54, which is incorrect. That’s why the order of operations is so important. Example 2(6 + 4) – 42 = Begin with the operation in parentheses: 6 + 4 = 10. The expression is now 2(10) – 42. Next, work with the exponents: 42 = 16, and the expression becomes 2(10) – 16. Multiplication is next: 2(10) = 20, and we are left with 20 – 16. Finally, subtract: 20 – 16 = 4. The expression 2(6 + 4) – 42 is equal to 4.

The exponent of a in the answer is –7. (–63a)(–7a8) = 9a–7. 3. Begin with the coefﬁcients: 30 ÷ –5 = –6. Carry the bases (p, q, and r) from the dividend into the answer. There are no bases in the divisor that are not in the dividend. Because p does not appear in the divisor, carry its exponent into the answer. Next, subtract the exponent of q in the divisor from the exponent of q in the dividend: 4 – 2 = 2. Finally, subtract the exponent of r in the divisor from the exponent of r in the dividend: 2 – 3 = –1.

The coefficient of x in the term 5x is 51, because x 1 5 can be written as 5 x. In algebra, the base of a term is often raised to an exponent. qxd:JSB 26 12/18/08 11:44 AM Page 26 algebra basics by itself. Exponents are small numbers (superscripts) that appear above and to the right of a base. The term x2 is equal to x multiplied by x. The term y6 means (y)(y)(y)(y)(y)(y). If a variable appears to have no exponent, then it has an exponent of 1: x1 = x. PRACTICE 2 For each term, ﬁnd the coefﬁcient, the base, and the exponent.

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

by Ronald

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