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Splash Screen. Lesson 1 Contents. Example 1 Write Algebraic Expressions Example 2 Write Algebraic Expressions with Powers Example 3 Evaluate Powers Example 4 Write Verbal Expressions. c – 5. Answer: Thus, the algebraic expression is . . Example 1-1a.

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  1. Splash Screen

  2. Lesson 1 Contents Example 1Write Algebraic Expressions Example 2Write Algebraic Expressions with Powers Example 3Evaluate Powers Example 4Write Verbal Expressions

  3. c – 5 Answer: Thus, the algebraic expression is . Example 1-1a Write an algebraic expression for five less than a number c. The words less than suggest subtraction. a number c less five

  4. Answer: The expression can be written as . Example 1-1b Write an algebraic expression for the sum of 9 and 2 times the number d. Sum implies add, and times implies multiply.

  5. Answer: The expression can be written as Example 1-1c Write an algebraic expression for two thirds of the original volume v. The word of implies multiply.

  6. Answer: Answer: Answer: Example 1-1d Write an algebraic expression for each verbal expression. a. nine more than a number h b. the difference of 6 and 4 times a number x c. one half the size of the original perimeter p

  7. Write the product of to the seventh power algebraically. Answer: Example 1-2a

  8. Answer: Example 1-2b Write the sum of 11 and x to the third power algebraically.

  9. Answer: Answer: Example 1-2c Write each expression algebraically. a. the difference of 12 and x squared b. the quotient of 6 and x to the fifth power

  10. Evaluate . Use 3 as a factor 4 times. Answer: Multiply. Example 1-3a

  11. Evaluate . Use 8 as a factor 2 times. Answer: Multiply. Example 1-3b

  12. Evaluate each expression. a. b. Example 1-3c Answer: 625 Answer: 32

  13. Write a verbal expression for . Example 1-4a Answer: the quotient of 8 times x squared and 5

  14. Write a verbal expression for . Example 1-4b Answer: the difference of y to the fifth power and 16 times y

  15. Write a verbal expression for each algebraic expression. a. b. Example 1-4c Answer: 7 times a to the fourth power Answer: the sum ofxsquared and 3

  16. End of Lesson 1

  17. Lesson 2 Contents Example 1Evaluate Expressions Example 2Grouping Symbols Example 3Fraction Bar Example 4Evaluate an Algebraic Expression Example 5Use Algebraic Expressions

  18. Evaluate . Multiply 2 and 3. Add 6 and 4. Subtract 10 and 6. Answer: Example 2-1a

  19. Evaluate Evaluate powers. Divide 48 by 8. Multiply 6 and 3. Add 18 and 5. Answer: Example 2-1b

  20. Evaluate each expression. a. b. Example 2-1c Answer: 23 Answer: 7

  21. Evaluate . Evaluate inside grouping symbols. Multiply. Answer: Multiply. Example 2-2a

  22. Evaluate . Evaluate innermost expression first. Evaluate expression in grouping symbol. Evaluate power. Answer: Multiply. Example 2-2b

  23. Evaluate each expression. a. b. Example 2-2c Answer: 88 Answer: 3

  24. Evaluate Evaluate the power in the numerator. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator. Example 2-3a

  25. Evaluate the power in the denominator. Multiply 5 and 3 in the denominator. Answer: Subtract from left to right in the denominator. Then simplify. Example 2-3b

  26. Evaluate Example 2-3c Answer: 1

  27. Evaluate Replace x with 4, y with 3 and z with 2. Evaluate . Subtract 16 and 3. Evaluate . Multiply 2 and 13. Answer: Add. Example 2-4a

  28. Evaluate . Example 2-4b Answer: 28

  29. Answer: Example 2-5a Architecture Each of the four sidesof the Great Pyramid at Giza, Egypt, is a triangle.The base of each triangle originally measured230 meters. The height of each triangle originallymeasured 187 meters. The area of any triangleis one-half the product of the length of the base b and the height h. Write an expression that represents the area of one side of the GreatPyramid. one half of the product of length of base and height

  30. Evaluate Multiply 230 by 187. . Divide 43,010 by 2. Answer: The area ofone side of the Great Pyramid is 21,505 . Example 2-5b Find the area of one side of the Great Pyramid.

  31. Answer: Example 2-5c Find the area of a triangle with a base of 123 feet and a height of 62 feet.

  32. End of Lesson 2

  33. Lesson 3 Contents Example 1Use a Replacement Set to Solve an Equation Example 2Use Order of Operations to Solve an Equation Example 3Find the Solution Set of an Inequality Example 4Solve an Inequality

  34. Find the solution set for if the replacement set is {2,3,4,5,6}. Replace a in with each value in the replacement set. a True or False? 2 false 3 false 4 true 5 false 6 false Example 3-1a Answer: The solution set is{4}.

  35. Find the solution set for if the replacement set is {2,3,4,5,6}. Replace with each value in the replacement set. a True or False? 2 false 3 false 4 false 5 false 6 true Example 3-1b Answer: The solution set is{6}.

  36. Find the solution set for each equation if the replacement set is {0,1,2,3,4}. a. b. Example 3-1c Answer: {2} Answer: {0}

  37. Solve Original equation Add 8 and 2 in the numerator.Subtract 5 and 3 in the denominator. Evaluate the power in the denominator. Simplify. Answer: Divide. Example 3-2a

  38. Example 3-2b Answer: 6

  39. Find the solutionset for if the replacement set is {20,21,22,23,24}. Replace with each value in the replacement set. a True or False? 20 false 21 true 22 true 23 true 24 true Answer:Thesolution set foris{21, 22, 23, 24}. Example 3-3a

  40. Find the solutionset for if the replacementset is {2,3,4,5}. Example 3-3b Answer: {5}

  41. Explore The expression can be used to represent the cost of vehicles. The family wants to spend no more than $100. The situation can be represented by the inequality . Example 3-4a Outdoors A four-wheel-drive tour of Canyon de Chelly National Monument in Arizona costs $45 for the first vehicle and $15 for each additional vehicle. How many vehicles can the Velo family take on the tour if they want to spend no more than $100? Plan Since no replacement set is given, estimate to find reasonable values for the replacement set.

  42. Solve Start by letting and then adjust values up or down as needed. Original inequality Multiply 15 and 6. Add 45 and 90. Example 3-4a The estimate is too high. Decrease the value of n.

  43. n Reasonable? 5 too high 2 too low 3 almost 4 too high Answer:They can take as many as vehicles and stay within their budget. Example 3-4a Examine The solution set is {0, 1, 2, 3}. In addition to the first vehicle, the Velo family can take up to 3 additional vehicles and spend no more than $100.

  44. Example 3-4b Books A mail-order Book Club is having a sale on paperback books. You can purchase an unlimited number of books for $8.50 each. There is a $7.00 charge for shipping. How many books can you buy if you have $60 to spend? Answer: 6

  45. End of Lesson 3

  46. Lesson 4 Contents Example 1Identify Properties Example 2Evaluate Using Properties

  47. Name the property used in . Then find the value of n. Answer:Multiplicative Property of Zero Example 4-1a

  48. Name the property used in . Then find the value of n. Answer:Multiplicative Inverse Property Example 4-1b

  49. Name the property used in . Then find the value of n. Answer:Additive Identity Property Example 4-1c

  50. Name the property used in each equation. Then find the value of n. a. b. c. Answer:Multiplicative Inverse Property; Answer:Additive Identity Property; Answer:Multiplicative Property of Zero; Example 4-1d

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