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1-1. Variables and Expressions. Warm Up. Problem of the Day. Lesson Presentation. Course 3. 1-1. Variables and Expressions. Course 3. Warm Up Evaluate. 1. 21  2(3). 15. 2. 4 + 3  9. 31. 3. 2(9) + (3). 21. 4. 6(1.4) + 12. 20.4. 5. 7(2.9)  5. 15.3. 1-1.

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  1. 1-1 Variables and Expressions Warm Up Problem of the Day Lesson Presentation Course 3

  2. 1-1 Variables and Expressions Course 3 Warm Up Evaluate. 1. 21  2(3) 15 2. 4 + 3  9 31 3. 2(9) + (3) 21 4. 6(1.4) + 12 20.4 5. 7(2.9)  5 15.3

  3. 1-1 Variables and Expressions Price Trees Price Trees $23.99 Dogwood $22.99 Maple Elm $16.99 $26.99 Crab apple $19.99 $17.99 Birch Oak Course 3 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? $337.90

  4. 1-1 Variables and Expressions Course 3 Learn to evaluate algebraic expressions.

  5. 1-1 Variables and Expressions Course 3 Vocabulary variable coefficient algebraic expression constant evaluate substitute

  6. 1-1 Variables and Expressions Course 3 A variable is a letter that represents a value that can change or vary. The coefficient is the number multiplied by the variable. Coefficient Variable

  7. 1-1 Variables and Expressions Remember! Order of Operations PEMDAS: 1. Parentheses 2. Exponents 3. Multiply and Divide from left to right. 4. Add and Subtract from left to right. Course 3

  8. 1-1 Variables and Expressions Course 3 Additional Example 1A: Evaluating Algebraic Expressions with One Variable Evaluate each expression for the given value of the variable. x – 5 for x = 12 12– 5 Substitute 12 for x. 7 Subtract.

  9. 1-1 Variables and Expressions Course 3 Additional Example 1B: Evaluating Algebraic Expressions with One Variable Evaluate each expression for the given value of the variable. 2y + 1 for y = 4 2(4) + 1 Substitute 4 for y. 8 + 1 Multiply. 9 Add.

  10. 1-1 Variables and Expressions Course 3 Check It Out: Examples 1 Evaluate each expression for the given value of the variable. A.x + 5 for x = 3 3+ 5 Substitute 3 for x. 8 Add. B.4c + 1 for c = 11 4(11) + 1 Substitute 11 for c. 44 + 1 Multiply. 45 Add.

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

  12. 1-1 Variables and Expressions Course 3 Check It Out: Example 2 Evaluate each expression for the given values of the variables. A.3x + 2y for x = 3 and y = 4 3(3) + 2(4) Substitute 3 for x and 4 for y. 9 + 8 Multiply. 17 Add. B.8q – 3r for q = 2 and r = 2 8(2) – 3(2) Substitute 2 for q and 2 for r. 16 – 6 Multiply. 10 Subtract.

  13. 1-1 Variables and Expressions Course 3 Additional Example 3A: Physical Science Application Use the expression 1.8c + 32 to convert the boiling point temperature from degrees Celsius to degrees Fahrenheit. Boiling point of water at sea level: 100°C 1.8c + 32 1.8(100) + 32 Substitute 100 for c. 180 + 32 Multiply. 212 Add. 100°C = 212°F Water boils at 212°F.

  14. 1-1 Variables and Expressions Course 3 Lesson Quiz • Evaluate each expression for the given values of the variables. • 6x + 9 for x = 3 • 4x + 3y for x = 2, y = 3 • 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 17 $515

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