Learn to plug in variables to solve problems.

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Presentation transcript:

Learn to plug in variables to solve problems.

A variable is a letter that represents a number that can change. The coefficient is the number that doesn’t change in a problem Coefficient Variable

Additional Examples 1A and 1B: Evaluating Algebraic Expressions with One Variable Evaluate each expression for the given value of the variable. A. x – 5 for x = 12 12 – 5 Substitute 12 for x. 7 Subtract. B. x + 5 for x = 3 3 + 5 Substitute 3 for x. 8 Add.

Additional Examples 1A and 1B: Evaluating Algebraic Expressions with One Variable Evaluate each expression for the given value of the variable. A. 4c + 1 for c = 11 4(11) + 1 Substitute 11 for c. 44 + 1 Multiply. 45 Add. B. 10 – 2y for y = 4 10 - 2(4) Substitute 4 for y. 10 – 8 Multiply. 2 Subtract.

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

Try This: Example 1C Evaluate the expression for the given values of the variable. C. 5(n + 3) – 2 for n = 3, 4, 5 3 4 5 n Substitute Parentheses Multiply Subtract 5(3 + 3) – 2 5(6) – 2 30 – 2 28 5(4 + 3) – 2 5(7) – 2 35 – 2 33 5(5 + 3) – 2 5(8) – 2 40 – 2 38

Additional Example 2: Evaluating Algebraic Expressions with Two Variables Evaluate each expression for the given value 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. 8r – 2p for r = 2 and p = 5 8(2) – 2(5) Substitute 2 for r and 5.5 for p. 16 – 10 Multiply. 6 Subtract.

Additional Example 3A: Physical Science Application Use the expression 1.8c + 32 to convert the boiling point temperature from degrees Celsius to degrees Fahrenheit. A. 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.