110 CHAPTER 1 Equations and Inequalities EXAMPLE 5 Applying the Simple Interest Formula A woman borrowed $5240 for new furniture. She will pay it off in 11 months at an annual simple interest rate of 4.5%. How much interest will she pay? SOLUTION Use the simple interest formula I = Prt. I = 524010.0452a 11 12b = 216.15 P = 5240, r = 0.045, and t = 11 12 (year) She will pay $216.15 interest on her purchase. S Now Try Exercise 59. 1.1 Exercises CONCEPT PREVIEWFill in the blank to correctly complete each sentence. 1. A(n) is a statement that two expressions are equal. 2. To an equation means to find all numbers that make the equation a true statement. 3. A linear equation is a(n) because the greatest degree of the variable is 1. 4. A(n) is an equation satisfied by every number that is a meaningful replacement for the variable. 5. A(n) is an equation that has no solution. CONCEPT PREVIEWDecide whether each statement is true or false. 6. The solution set of 2x + 5 = x - 3 is 5-86. 7. The equation 51x - 82 = 5x - 40 is an example of an identity. 8. The equation 5x = 4x is an example of a contradiction. 9. Solving the literal equation A = 1 2 bh for the variable h gives h = A 2b. 10. CONCEPT PREVIEW Which one is not a linear equation? A. 5x + 71x - 12 = -3x B. 9x2 - 4x + 3 = 0 C. 7x + 8x = 13x D. 0.04x - 0.08x = 0.40 Solve each equation. See Examples 1 and 2. 11. 5x + 4 = 3x - 4 12. 9x + 11 = 7x + 1 13. 613x - 12 = 8 - 110x - 142 14. 41-2x + 12 = 6 - 12x - 42 15. 5 6 x - 2x + 4 3 = 5 3 16. 7 4 + 1 5 x - 3 2 = 4 5 x 17. 3x + 5 - 51x + 12 = 6x + 7 18. 51x + 32 + 4x - 3 = -12x - 42 + 2 19. 23x - 14 + 2x2 + 34 = 2x + 2 20. 432x - 13 - x2 + 54 = -6x - 28 21. 1 1413x - 22 = 1 101x + 102 22. 1 1512x + 52 = 1 91x + 22 23. 0.2x - 0.5 = 0.1x + 7 24. 0.01x + 3.1 = 2.03x - 2.96 25. -412x - 62 + 8x = 5x + 24 + x 26. -813x + 42 + 6x = 41x - 82 + 4x 27. 0.5x + 4 3 x = x + 10 28. 2 3 x + 0.25x = x + 2
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