138 Chapter 3 Solving Equations Study Skills Exercise After you get a test back, it is a good idea to correct the test so that you do not make the same errors again. One recommended approach is to use a clean sheet of paper and divide the paper down the middle vertically, as shown. For each problem that you missed on the test, rework the problem correctly on the left-hand side of the paper. Then write a written explanation on the right-hand side of the paper. Take the time this week to make corrections from your last test. Vocabulary and Key Concepts 1. a. A is a number or the product or quotient of numbers and variables. b. The term 5xy is called a (constant/variable) term, whereas the term 5 is called a (constant/variable) term. c. The numerical factor within a term is called the of the term. d. Two terms are terms if they each have the same variables and the corresponding variables are raised to the same powers. e. The commutative property of addition tells us that the expression 6 x can be written as . The commutative property of multiplication tells us that the expression x(6) can be written as . f. The property of addition tells us that 5 (7 x) can be written as (5 7) x. g. The property of multiplication tells us that 5(7x) can be written as (5 7)x. h. The distributive property of multiplication over addition tells us that a (b c) . Using this property, the expression 4(x 5) can be written as . Review Exercises 2x2 y2 x 10 y 6 2. Evaluate the expression for and . For Exercises 3–8, simplify. 6 42 122 09 3 0 3. 4 219 32 4. 5. 6. 7. 122 8. 11222 09 0 03 0 Concept 1: Identifying Like Terms For Exercises 9–12, for each expression, list the terms and identify each term as a variable term or a constant term. (See Example 1.) 9. 2a 5b2 6 10. 5x 4 7y 11. 8 9a 12. 12 8k Perform the correct math here. Explain the process here. Do multiplication before addition. 2 4(5) 2 20 22 Section 3.1 Practice Exercises
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