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1.1 Evaluating Algebraic Expressions

1.1 Evaluating Algebraic Expressions. Objective:. Use the correct order of operations to evaluate algebraic expressions (AF 1.2) Use algebraic terminology correctly (AF 1.4). Words to know…. Expression. a mathematical phrase that contains operations, numbers, and/variables. Variable.

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1.1 Evaluating Algebraic Expressions

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  1. 1.1 Evaluating Algebraic Expressions Objective: Use the correct order of operations to evaluate algebraic expressions (AF 1.2) Use algebraic terminology correctly (AF 1.4)

  2. Words to know… Expression a mathematical phrase that contains operations, numbers, and/variables. Variable a letter that represents a value that can change or vary. contains only numbers Numerical expression contains one or more variables. Algebraic expression Evaluate substitute a given number for the variable

  3. Evaluating Algebraic Expressions with One Variable x – 5 for x = 12 12– 5 7

  4. Order of Operations PEMDAS: 1.Parentheses 2.Exponents 3.Multiply and Divide from left to right. 4.Add and Subtract from left to right.

  5. Evaluating Algebraic Expressions with One Variable 2y + 1 for y = 4 2(4) + 1 Substitute 4 for y. 8 + 1 Multiply. 9 Add.

  6. Evaluating Algebraic Expressions with One Variable 6(n + 2) – 4 for n = 5, 6, 7 38 6(5 + 2) – 4 6(7) – 4 42 – 4 48 – 4 44 6(8) – 4 6(6 + 2) – 4 54 – 4 50 6(7 + 2) – 4 6(9) – 4

  7. Summary: What is the Order of operations?

  8. Evaluating Algebraic Expressions with Two Variables A. 4x + 3y for x = 2 and y = 1 4(2) + 3(1) 8 + 3 11 B. 9r – 2p for r = 3 and p = 5 9(3) – 2(5) 27 – 10 17

  9. Physical science application Boiling point of water at sea level: 100°C Use the expression 1.8c + 32 to convert the temperature from degrees Celsius to degrees Fahrenheit. 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 at sea level.

  10. Classwork Evaluate each expression for the given value(s) of the variables. 1. 6x + 9 for x = 3 2.x + 14 for x = 8 3. 4x + 3y for x = 2, y = 3 4.y(27– x) 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 48 $515

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