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Transparency 4. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 4-1a. Objective. Evaluate simple algebraic expressions. Example 4-1a. Vocabulary. Variable A symbol, usually a letter, used to represent a number. Example 4-1a. Vocabulary.

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-1a Objective Evaluate simple algebraic expressions

  4. Example 4-1a Vocabulary Variable A symbol, usually a letter, used to represent a number

  5. Example 4-1a Vocabulary Algebraic Expression An expression that contains a variable, a number, and at least 1 operation X + 2

  6. Example 4-1a Vocabulary Algebra A branch of math that involves expressions with variables

  7. Example 4-1a Vocabulary Term Each part of an algebraic expression that is separated with a plus or minus sign 8x + y – 3 Terms are 8x, y, and -3

  8. Example 4-1a Vocabulary Coefficient The numerical factor of a term that contains a variable 8x + y – 3 8 is the coefficient of 8x 1 is the coefficient of y

  9. Example 4-1a Vocabulary Constant A term that does not contain a variable 8x + y – 3 -3 is the constant

  10. Lesson 4 Contents Example 1Evaluate an Expression Example 2Evaluate Expressions Example 3Evaluate Expressions Example 4Evaluate Expressions Example 5Use an Expression to Solve a Problem

  11. Evaluate Example 4-1a t - 4 Write expression 6 - 4 Replace t with 6 Subtract 6 - 4 2 Answer: 2 1/5

  12. Evaluate Example 4-1b Answer: 11 1/5

  13. Evaluate Example 4-2a Write expression 5x + 3y Replace x with 7 5(7) + 3(9) Replace y with 9 Follow Order of Operations Rules 35 + 27 P E MD AS Multiply from left to right Multiply 5(7) Bring down + Multiply 3(9) 2/5

  14. Evaluate Example 4-2a 35 + 27 Add 35 + 27 62 Answer: 62 2/5

  15. Evaluate Example 4-2b Answer: 24 2/5

  16. Evaluate Example 4-3a Write expression rs 4 Replace r with 7 Replace s with 12 7 7(12) 4 Bring down 4 Follow Order of Operation Rules P E MD AS Remember: A fraction bar can act as an enclosure 3/5

  17. Evaluate Example 4-3a Multiply 7(12) 7(12) 4 Bring down 4 84 A fraction bar means division 4 Divide 84 by 4 21 Answer: 21 3/5

  18. Evaluate Example 4-3b Answer: 12 3/5

  19. Evaluate Example 4-4a 5 + a2 Write expression Bring down 5 + 5 + 52 Replace a with 5 5 + 25 Follow Order of Operations Rules P E MD AS Do exponents first Bring down 5 + Find 52 4/5

  20. Evaluate Example 4-4a Add 5 + 25 5 + 25 30 Answer: 30 4/5

  21. Evaluate Example 4-4b Answer: 15 4/5

  22. Example 4-5a PHYSICSThe final speed of a falling object is found by using the expression v + 9.8t, where v is the speed when you begin timing and t is the length of time the object falls. Find the final speed when the object starts falling at 3 meters per second and falls for 2 seconds. v + 9.8t Write equation given Replace v which is speed with 3 3 + 9.8(2) Bring down + 9.8 Replace t which is time with 2 5/5

  23. Example 4-5a PHYSICSThe final speed of a falling object is found by using the expression v + 9.8t, where v is the speed when you begin timing and t is the length of time the object falls. Find the final speed when the object starts falling at 3 meters per second and falls for 2 seconds. Follow Order of Operations Rules 3 + 9.8(2) P E MD AS Multiply first 3 + 19.6 Bring down 3 + Multiply 9.8(2) 22.6 Add 3 + 19.6 Label Answer: 22.6 meters per second. 5/5

  24. Example 4-5b * BOWLINGDavid is going bowling with a group of friends. His cost for bowling can be described by the formula 1.75 + 2.5g, where g is the number of games David bowls. Find the total cost of bowling if David bowls 3 games. Answer: $9.25 5/5

  25. End of Lesson 4 Assignment

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