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California Standards

California Standards. AF1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. Also covered: AF1.3. Vocabulary. variable constant. A letter that represents a number that can vary. A number that cannot change.

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California Standards

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  1. California Standards AF1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. Also covered: AF1.3

  2. Vocabulary variable constant A letter that represents a number that can vary. A number that cannot change.

  3. Example 1A: Evaluating Algebraic Expressions The expression b + 9 represents Chad’s age when his brother is b years old. Evaluate the expression for each value of b, and then tell what the value of the expression means. b + 9 b =5 Substitute 5 for b. 5 + 9 14 Add. When his brother is 5, Chad is 14.

  4. Example 1B: Evaluating Algebraic Expressions b + 9 b = 2 Substitute 2 for b. 2 + 9 11 Add. When his brother is 2, Chad is 11.

  5. Multiplication and division of variables can be written in several ways, as shown in the table. When evaluating expressions, use the order of operations.

  6. Example 2: Evaluating Algebraic Expressions Involving Order of Operations Evaluate the expression for the given value of the variable. A. 4x – 3 for x = 2 4(2) – 3 Substitute 2 for x. 8 – 3 Multiply. 5 Subtract.

  7. Example 2: Evaluating Algebraic Expressions Involving Order of Operations B. s ÷ 5 + s, for s = 15 15 ÷ 5 + 15 Substitute 15 for s. 3 + 15 Divide. 18 Add.

  8. Example 3: Evaluating Algebraic Expressions with More than One Variable 6 a Evaluate + 4b − c, for a = 3, b = 2, and c = 7. 6 a + 4b − c Substitute 3 for a, 2 for b, and 7 for c. 6 3 + 4(2) − 7 Divide and multiply from left to right. 2 + 8− 7 Add and subtract from left to right. 3

  9. Check It Out! Example 1 The expression y + 7 represents Sidney’s age when her brother is y years old. Evaluate the expression for each value of y, and then tell what the value of the expression means. y + 7 y =8 Substitute 8 for y. 8 + 7 15 Add. When her brother is 8, Sidney is 15.

  10. Check It Out! Example 2 Evaluate the expression for the given value of the variable. 4y2 + 2y, for y = 3 4(3)2 + 2(3) Substitute 3 for y. 4(9) + 2(3) Evaluate the power. 36 + 6 Multiply. 42 Add.

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