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Extra resources for Algebra in 15 Minutes a Day
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).
Next, add the coefﬁcients of the terms. The coefﬁcient of 4x3 is 4 and the coefﬁcient of 3x3 is 3. 4 + 3 = 7. Our answer has the same base and the same exponent as the bases and exponents of the terms that we have added, so 4x3 + 3x3 = 7x3. TIP: Do not forget to write the base and exponent of your answer. Once you are sure that you are adding like terms, write the base and the exponent of your answer right away. Before finding the sum of 13v7 and 28v7, write v7 as part of your answer, and then find the sum of the coefficients.
23q12 + (+11q12) = 4. 3b2 + b2 + 10b2 = 5. 10a3 – (–5a3) = 6. –9t8 + 8t8 + (+13t8) = 7. 15y4 + 12y4 – (–17y4) = SUBTRACTING LIKE TERMS Just as with addition, to subtract one like term from another, we work with the coefﬁcients of the terms. Our answer has the same base and the same exponent as the term we are subtracting and the term from which we are subtracting. To ﬁnd the difference between two like terms, subtract the coefﬁcient of the second term from the coefﬁcient of the ﬁrst term: 8x7 – 3x7 = 5x7.
Algebra in 15 Minutes a Day by LearningExpress LLC Editors