204 Chapter 2 Linear Equations and Inequalities Chapter 2 Review Exercises 3x y 10 9x 10y 2xy Equation 41x 32 Expression 12 5x 7 Equation Equation A linear equation can be written in the form ax b c, a 0. 4x2 8 10 x 18 72 No Yes No Yes 3 2y2 0 4p 5 6p 4y 9 3, y 3 No y 0 No y 3 Yes y 2 No 5. 6. a 6 2 8 6 z 9 15 0.1r 7 70 21 4 7. 8. 21 5 9. 5x 21 10. 2 5 4 7 11. 12. m 27 27 k 13. The quotient of a number and negative six is equal to negative ten. Find the number. 12 18 14. The difference of a number and is . Find the number. The number is . 15. Four subtracted from a number is negative twelve. Find the number. 16. Six subtracted from a number is negative eight. Find the number. 5 10 7 60 t 3 20 3 4 k 9 2 Section 2.1 1. Label the following as either an expression or an equation: a. b. c. d. 2. Explain how to determine whether an equation is linear in one variable. 3. Determine if the given equation is a linear equation in one variable or not.Answer yes or no. a. b. c. d. 4. For the equation, determine if the given numbers are solutions. a. b. c. d. For Exercises 5–12, solve the equation using the addition property, subtraction property, multiplication property, or division property of equality. The number is 60. The number is 8. 7 24 The number is 2. Section 2.2 For Exercises 17–28, solve the equation. 17. 18. 9 4 19. 20. 7c 3c 9 28 5w 2 6 21. 22. 23. 24. 3p 7 5p 1 4t 6 12t 18 3 4a 9 31a 32 312c5221c82 25. 26. 27. 28. 0 1 7b 31b 12 3 8 21b 82 2 2 118 x2 21x 12 41x 22 8 6 29. Explain the difference between an equation that is a contradiction and an equation that is an identity. For Exercises 30–35, label each equation as a conditional equation, a contradiction, or an identity. 30. x 3 3 x 31. 3x 19 2x 1 32. 5x 6 5x 28 33. 2x 8 21x 42 34. 35. 8x 9 81x 92 4x 4 3x 2 Section 2.3 For Exercises 36–53, solve the equation. 36. 37. 38. 13 39. 27 40. 41. 42. 43. 44. 17.3 2.7q 10.55 2.5 45. 4.9z 4.6 3.2z 2.2 4 2 7 1w 42 1 2 1 4 12 3t2 3 4 1 4 y 3 4 1 2 y 1 1 10 p 3 2 5 p x 6 3 2x 8 2 12 x 5 2 2x 10 9 5 22 y 15 2 3 4 5 6 x 8 1 4 1 2 18 2 3 3 h 5 7 b 3 1 0 3 5 4d 2 6 1 5c 6 9 3 4 A contradiction has no solution and an identity is true for all real numbers. Identity Conditional equation Contradiction Identity Contradiction Conditional equation 10 7 5 3 9 4 Writing Translating Expression Geometry Scientific Calculator Video
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