1. 1-1 Evaluating Algebraic Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 1-1 Evaluating Algebraic Expressions Warm Up Evaluate. 1. 21 – 2(3) ‏ 15 31 21 20.4 15.3 5. 7(2.9) – 5 4. 6(1.4) + 12 3. 2(9) + (3) ‏ 2. 4 + 3  9

3. 1-1 Evaluating Algebraic Expressions Problem of the Day Miss Smith obtained the prices below from the landscape company. She plans to buy five birch, two elm, one dogwood, and two oak trees. The landscape company will charge her $15 to plant each tree. How much will it cost? Trees Price Maple Elm Oak Dogwood Crab apple Birch $16.99 $22.99 $19.99 $23.99 $26.99 $17.99 $337.90

4. 1-1 Evaluating Algebraic Expressions Learn to evaluate algebraic expressions.

5. 1-1 Evaluating Algebraic Expressions Vocabulary variable coefficient algebraic expression constant evaluate substitute

6. 1-1 Evaluating Algebraic Expressions A variable is a letter that represents a value that can change or vary. The coefficient is the number multiplied by the variable. CoefficientVariable

7. 1-1 Evaluating Algebraic Expressions In the algebraic expression x + 6, 6 is a constant because it does not change. To evaluate an algebraic expression, substitute a given number for the variable, and find the value of the resulting numerical expression. An algebraic expression has one or more variables.

8. 1-1 Evaluating Algebraic Expressions Evaluate each expression for the given value of the variable. Additional Example 1A: Evaluating Algebraic Expressions with One Variable Substitute 12 for x. Subtract. x – 5 for x = 12 12 – 5 7

9. 1-1 Evaluating Algebraic Expressions Order of Operations PEMDAS: 1. Parentheses 2. Exponents 3. Multiply and Divide from left to right. 4. Add and Subtract from left to right. Remember!

10. 1-1 Evaluating Algebraic Expressions Evaluate each expression for the given value of the variable. Additional Example 1B: Evaluating Algebraic Expressions with One Variable Substitute 4 for y. Multiply. 2y + 1 for y = 4 2(4) + 1 8 + 1 Add. 9

11. 1-1 Evaluating Algebraic Expressions Evaluate the expression for the given values of the variable. Additional Example 1C: Evaluating Algebraic Expressions with One Variable 6(n + 2) – 4 for n = 5, 6, 7 567567 n Substitute Parentheses Multiply Subtract 6(5 + 2) – 46(7) – 4 42 – 4 38 6(6 + 2) – 46(8) – 4 48 – 4 44 6(7 + 2) – 46(9) – 4 54 – 4 50

12. 1-1 Evaluating Algebraic Expressions Evaluate each expression for the given value of the variable. Check It Out: Examples 1 Substitute 3 for x. Add. A. x + 5 for x = 3 3 + 5 8 Substitute 11 for c. Multiply. B. 4c + 1 for c = 11 4(11) + 1 44 + 1 Add. 45

13. 1-1 Evaluating Algebraic Expressions Evaluate the expression for the given values of the variable. Check It Out: Example 1 C. 5(n + 3) – 2 for n = 3, 4, 5 345345 n Substitute Parentheses Multiply Subtract 5(3 + 3) – 25(6) – 2 30 – 2 28 5(4 + 3) – 25(7) – 2 35 – 2 33 5(5 + 3) – 25(8) – 2 40 – 2 38

14. 1-1 Evaluating Algebraic Expressions Evaluate each expression for the given values of the variables. Additional Example 2: Evaluating Algebraic Expressions with Two Variables Substitute 2 for x and 1 for y. Multiply. A. 4x + 3y for x = 2 and y = 1 4(2) + 3(1) 8 + 3 Substitute 3 for r and 5 for p. Multiply. B. 9r – 2p for r = 3 and p = 5 9(3) – 2(5) 27 – 10 Add. 11 Subtract. 17

15. 1-1 Evaluating Algebraic Expressions Evaluate each expression for the given values of the variables. Check It Out: Example 2 Substitute 3 for x and 4 for y. Multiply. A. 3x + 2y for x = 3 and y = 4 3(3) + 2(4) 9 + 8 Substitute 2 for q and 2 for r. Multiply. B. 8q – 3r for q = 2 and r = 2 8(2) – 3(2) 16 – 6 Add. 17 Subtract. 10

16. 1-1 Evaluating Algebraic Expressions Use the expression 1.8c + 32 to convert the boiling point temperature from degrees Celsius to degrees Fahrenheit. Additional Example 3A: Physical Science Application Substitute 100 for c. Multiply. Boiling point of water at sea level: 100°C 1.8(100) + 32 180 + 32 1.8c + 32 Add. 212 100°C = 212°F Water boils at 212°F.

17. 1-1 Evaluating Algebraic Expressions Additional Example 3B: Physical Science Application Substitute 85 for c. Multiply. Boiling point of water at an altitude of 4400 t meters: 85°C 1.8(85) + 32 153 + 32 1.8c + 32 Add. 185 85°C = 185°F Water boils at 185°F at 4400 m.

18. 1-1 Evaluating Algebraic Expressions Use the expression 1.8c + 32 to convert the temperature from degrees Celsius to degrees Fahrenheit. Check It Out: Example 3A Substitute 50 for c. Multiply. Europe’s highest recorded temperature (Seville, Spain): 50°C 1.8(50) + 32 90 + 32 1.8c + 32 Add. 122 50°C = 122°F The highest recorded temperature in Europe is 122°F.

19. 1-1 Evaluating Algebraic Expressions Use the expression 1.8c + 32 to convert the temperature from degrees Celsius to degrees Fahrenheit. Check It Out: Example 3B Substitute 10 for c. Multiply. 10°C 1.8(10) + 32 18 + 32 1.8c + 32 Add. 50 10°C = 50°F

20. 1-1 Evaluating Algebraic Expressions Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

21. 1-1 Evaluating Algebraic Expressions Lesson Quiz Evaluate each expression for the given values of the variables. 1. 6x + 9 for x = 3 2. x + 14 for x = 8 3. 4x + 3y for x = 2, y = 3 4. 1.6x – 2.9y for x = 19, y = 6 5. If n is the amount of money in a savings account, then the expression n + 0.03n can be used to find the amount in the account after it has earned interest for one year. Find the total in the account after one year if $500 is the initial amount. 27 22 17 13 $515

22. 1-1 Evaluating Algebraic Expressions 1. Evaluate the expression for the given value of the variable. 6x + 12 for x = 7 A. 23 B. 40 C. 54 D. 65 Lesson Quiz for Student Response Systems

23. 1-1 Evaluating Algebraic Expressions 2. Evaluate the expression for the given value of the variable. k + 72 for k = 7 A. 79 B. 82 C. 96 D. 98 Lesson Quiz for Student Response Systems

24. 1-1 Evaluating Algebraic Expressions 3. Evaluate the expression for the given values of the variables. 2m + 2n for m = 4, n = 5 A. 18 B. 20 C. 22 D. 24 Lesson Quiz for Student Response Systems

25. 1-1 Evaluating Algebraic Expressions 4. Evaluate the expression for the given values of the variables. 3.2r – 4.6s for r = 20, s = 5 A. 30 B. 35 C. 39 D. 41 Lesson Quiz for Student Response Systems

26. 1-1 Evaluating Algebraic Expressions 5. If n is the amount of money that Bill had borrowed from a bank, then the expression n + 0.05n can be used to find the total amount Bill has to return after one year with respect to the interest rate. How much money should Bill pay after one year if $700 is the amount borrowed? A. $710 B. $717 C. $735 D. $742 Lesson Quiz for Student Response Systems