146 Chapter 3 Solving Equations Section 3.2 Practice Exercises Study Skills Exercise Does your school have a learning resource center or a tutoring center? If so, do you remember the location and hours of operation? Write them here. Location of learning resource center or tutoring center: _________________ Hours of operation: _________________ Vocabulary and Key Concepts 1. a. A equation in one variable is an equation that can be written in the form ax b c, (a 0). b. A to an equation is a value of the variable that makes the equation a true statement. c. The equations 3x 12 and x 4 are called equations because they have the same solution. d. The property of equality tells us that adding the same quantity to both sides of an equation, results in an equivalent equation. e. The property of equality tells us that subtracting the same quantity from both sides of an equation, results in an equivalent equation. Review Exercises 2. Explain why the terms in the given sum cannot be combined. 3x 7x2 For Exercises 3–8, simplify the expression. 3. 10a 3b 3a 13b 4. 4 23y2 11 16y2 5. 18h 2k 132 6. 314m 32 12 7. 5z 81z 32 20 8. 17p 122 1011 p2 6 Concept 1: Definition of a Linear Equation in One Variable For Exercises 9–16, determine whether the given number is a solution to the equation. (See Example 1.) 9. 5x 3 2; 1 10. 3y – 2 4; 2 11. z 8 20; 12 12. 7 w 10; 3 13. 13 13 6t; 0 14. 25 25 – 2x; 0 15. 15 2q 9; 3 16. 39 7p 4; 5 For Exercises 17–22, identify as an expression or an equation. 17. 8x 9 7 18. 24 5x 12 x 19. 8x 9 7 20. 24 5x 12 x 21. 21x 42 x 1 22. 21x 42 x 1
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