Chapter 9 - XYZ Custom Plus

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570 Chapter 98 Solving Equations and Inequalities Step 3 Use the multiplication property of equality to get just one x isolated on either side of the equation. Step 4 Check the solution in the original equation if necessary. If the original equation contains fractions, you can begin by multiplying each side by the LCD for all fractions in the equation. Evaluating Formulas [9.6] 6. When w 5 8 and l 5 13 the formula P 5 2w 1 2l becomes P 5 2 ? 8 1 2 ?13 5 16 1 26 5 42 In mathematics, a formula is an equation that contains more than one variable. For example, the formula for the perimeter of a rectangle is P 5 2l 1 2w. We evaluate a formula by substituting values for all but one of the variables and then solving the resulting equation for that variable.
Chapter 9 Review Simplify the expressions by combining similar terms. [9.1] 1. 10x 1 7x 2. 8x 2 12x 3. 2a 1 9a 1 3 2 6 4. 4y 2 7y 1 8 2 10 5. 6x 2 x 1 4 6. 25a 1 a 1 4 2 3 7. 2a 2 6 1 8a 1 2 8. 12y 2 4 1 3y 2 9 Find the value of each expression when x is 4. [9.1] 9. 10x 1 2 10. 5x 2 12 11. 22x 1 9 12. 2x 1 8 13. Is x 5 23 a solution to 5x 2 2 5 217? [9.2] 14. Is x 5 4 a solution to 3x 2 2 5 2x 1 1? [9.2] Solve the equations. [9.2, 9.3, 9.4] 15. x 2 5 5 4 19. 2x 1 4 5 3x 2 5 23. 3(2x 1 1) 2 4 5 27 16. 2x 1 3 1 2x 5 6 2 7 20. 4x 1 8 5 2x 2 10 24. 4(3x 1 1) 5 22(5x 2 2) 17. 2x 1 1 5 7 18. 3x 2 5 5 1 21. 3(x 2 2) 5 9 22. 4(x 2 3) 5 220 25. 5x 1 } 3 8 } 5 2}1 4 } 26. } 7 x } 2 }2 5 } 5 1 27. Number Problem The sum of a number and 23 is 25. Find the number. [9.5] 28. Number Problem If twice a number is added to 3, the result is 7. Find the number. [9.5] 29. Number Problem Three times the sum of a number and 2 is 26. Find the number. [9.5] 30. Number Problem If 7 is subtracted from twice a number, the result is 5. Find the number. [9.5] 31. Geometry The length of a rectangle is twice its width. If the perimeter is 42 meters, find the length and the width. [9.5] 32. Age Problem Patrick is 3 years older than Amy. In 5 years the sum of their ages will be 31. How old are they now? [9.5] In Problems 33-36, use the equation 3x 1 2y 5 6 to find y. [9.6] 33. x 5 22 34. x 5 6 35. x 5 0 36. x 5 1 _ 3 In Problems 37–39, use the equation 3x 1 2y 5 6 to find x when y has the given value. [9.6] 37. y 5 3 38. y 5 23 39. y 5 0 Chapter 9 Review 571
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Solving Equations and Inequalities
Page 3 and 4:
The Distributive Property and Algeb
Page 5 and 6:
9.1 The Distributive Property and A
Page 7 and 8:
9.1 The Distributive Property and A
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9.1 Problem Set 517 Problem Set 9.1
Page 11 and 12: 9.1 Problem Set 519 Find the value
Page 13 and 14: 9.1 Problem Set 521 91. Temperature
Page 15 and 16: Introduction . . . The Addition Pro
Page 17 and 18: 9.2 The Addition Property of Equali
Page 19 and 20: 9.2 Problem Set 527 Problem Set 9.2
Page 21 and 22: 9.2 Problem Set 529 Applying the Co
Page 23 and 24: The Multiplication Property of Equa
Page 25 and 26: 9.3 The Multiplication Property of
Page 29 and 30: 9.3 Problem Set 537 Find the value
Page 31 and 32: Introduction . . . Linear Equations
Page 33 and 34: 9.4 Linear Equations in One Variabl
Page 37 and 38: 9.4 Problem Set 545 C Applying the
Page 39 and 40: Introduction . . . Applications As
Page 41 and 42: 9.5 Applications 549 Step 2 Assign
Page 43 and 44: 9.5 Applications 551 Example 4 The
Page 45 and 46: 9.5 Applications 553 Step 2 Assign
Page 49 and 50: 9.5 Problem Set 557 Coin Problems 3
Page 51 and 52: Introduction . . . Evaluating Formu
Page 53 and 54: 9.6 Evaluating Formulas 561 The rat
Page 57 and 58: 9.6 Problem Set 565 B Maximum Heart
Page 59 and 60: 9.6 Problem Set 567 Applying the Co
Page 61: Chapter 9 Summary Combining Similar
Page 65 and 66: Chapter 9 Cumulative Review 573 28.
Page 67 and 68: Chapter 9 Projects Solving Equation
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Chapter 9 - XYZ Custom Plus

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