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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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**Lesson 1 Contents**Example 1Write Algebraic Expressions Example 2Write Algebraic Expressions with Powers Example 3Evaluate Powers Example 4Write Verbal Expressions**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**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.**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.**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**Write the product of to the seventh power algebraically.**Answer: Example 1-2a**Answer:**Example 1-2b Write the sum of 11 and x to the third power algebraically.**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**Evaluate .**Use 3 as a factor 4 times. Answer: Multiply. Example 1-3a**Evaluate .**Use 8 as a factor 2 times. Answer: Multiply. Example 1-3b**Evaluate each expression.**a. b. Example 1-3c Answer: 625 Answer: 32**Write a verbal expression for .**Example 1-4a Answer: the quotient of 8 times x squared and 5**Write a verbal expression for .**Example 1-4b Answer: the difference of y to the fifth power and 16 times y**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**Lesson 2 Contents**Example 1Evaluate Expressions Example 2Grouping Symbols Example 3Fraction Bar Example 4Evaluate an Algebraic Expression Example 5Use Algebraic Expressions**Evaluate .**Multiply 2 and 3. Add 6 and 4. Subtract 10 and 6. Answer: Example 2-1a**Evaluate**Evaluate powers. Divide 48 by 8. Multiply 6 and 3. Add 18 and 5. Answer: Example 2-1b**Evaluate each expression.**a. b. Example 2-1c Answer: 23 Answer: 7**Evaluate .**Evaluate inside grouping symbols. Multiply. Answer: Multiply. Example 2-2a**Evaluate .**Evaluate innermost expression first. Evaluate expression in grouping symbol. Evaluate power. Answer: Multiply. Example 2-2b**Evaluate each expression.**a. b. Example 2-2c Answer: 88 Answer: 3**Evaluate**Evaluate the power in the numerator. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator. Example 2-3a**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**Evaluate**Example 2-3c Answer: 1**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**Evaluate .**Example 2-4b Answer: 28**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**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.**Answer:**Example 2-5c Find the area of a triangle with a base of 123 feet and a height of 62 feet.**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**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}.**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}.**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}**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**Example 3-2b**Answer: 6**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**Find the solutionset for if the replacementset is**{2,3,4,5}. Example 3-3b Answer: {5}**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.**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.**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.**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**Lesson 4 Contents**Example 1Identify Properties Example 2Evaluate Using Properties**Name the property used in . Then find the value of n.**Answer:Multiplicative Property of Zero Example 4-1a**Name the property used in . Then find the value of n.**Answer:Multiplicative Inverse Property Example 4-1b**Name the property used in . Then find the value of n.**Answer:Additive Identity Property Example 4-1c**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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