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Additional info for Algebra in 15 Minutes a Day (Junior Skill Builders)
Our answer, 7g 7g10y–4, could also be written as y . In fact, we could write both the 10 4 original problem and the answer as fractions: 35 g 10 4 5y 7 g 10 . 4 y = Now, it’s a little easier to see what happened: 35 was divided by 5, g10 was not divided by anything and went straight into our answer, and we could not divide by y4, so we kept it in the denominator of our answer. You probably still have a few questions. What if a base is common to the dividend and the divisor, but the exponent of the divisor is greater?
3. What is 2r2 + 3r2 when r = –3? 4. What is 4h – 8h + 6(h + 2) when h = 4? 5. What is 5s + s2 – 9 when s = –2? qxd:JSB 52 12/18/08 11:45 AM Page 52 algebra basics ANSWERS Practice 1 1. This expression contains subtraction and division. Since division comes before subtraction in the order of operations, divide ﬁrst: 6 ÷ 2 = 3. The expression becomes 5 – 3. Subtract: 5 – 3 = 2. 2. Parentheses are ﬁrst in the order of operations. 10 + 3 = 13, and the expression becomes –2(13). Multiply: –2(13) = –26.
The exponent of n in the answer is –4. (–42m2n–2o5)(6mn2) = –7mn–4o5. qxd:JSB 12/18/08 11:45 AM Page 47 L E S S O N 4 single-variable expressions “Obvious” is the most dangerous word in mathematics. —ERIC TEMPLE BELL (1883–1960) MATHEMATICIAN AND SCIENCE FICTION AUTHOR In this lesson, you’ll review the order of operations and learn how to evaluate algebraic expressions. THE ADDITION SENTENCE 3x + 7x, or even just 3x alone is an algebraic expression. An algebraic expression is one or more terms, at least one of which contains a variable, which may or may not contain an operation (such as addition or multiplication).
Algebra in 15 Minutes a Day (Junior Skill Builders) by LearningExpress Editors