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Mathematical Expression Problem Solving

Learn how to represent word problems as mathematical expressions using variables. Solve various problem types such as age, travel, and geometry problems.

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Mathematical Expression Problem Solving

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  1. Warm Up Represent each statement as a mathematical expression using variables: (copy each “phrase” into your notebook) Five more than a number Three times a number is decreased by two A number increased by two is less than twice the same number decreased by four Five inches taller than Mark An initial fifty dollars plus two dollars per month Fifteen dollars for the first 100, then 20 cents per copy after that.

  2. Five more than a number Let n be a number n+ 5

  3. Three times a number is decreased by two Let n be a number 3n - 2

  4. A number increased by two is less than twice the same number decreased by four Let n be a number n + 2 < 2n - 4

  5. Five inches taller than Mark Let h be Mark’s height h + 5

  6. An initial fifty dollars plus two dollars per month Let m be number of months 50 + 2m

  7. Fifteen dollars, total, for the first 100 copies, then 20 cents per copy after that Let c be number of copies 15 + .20c

  8. Objective: I can solve word problems! Grab: Algebra 2 Quiz Review

  9. Word Problem Solving Strategies • Read through the entire problem. • Highlight the important information and key words that you need to solve the problem. • Identify and define your variables. • Write the equation or inequality. • Solve. • Write your answer in a complete sentence. • Check or justify your answer (optional).

  10. Age Problem Write an equation and solve: Suzie is 3 years older than twice Crystal’s age. If the sum of their ages is 6, how old are Suzie and Crystal?

  11. Travel Problem Write an equation and solve: Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55mi/h and the other bus averages 45mi/h. When will they be 400 miles apart?

  12. Geometry Problem Write an equation and solve: The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. What are the dimensions of the rectangle?

  13. Inequality Key Words • at least - means greater than or equal to • At most –means less than or equal to • no more than - means less than or equal to • more than - means greater than • less than - means less than • Between -means compound inequality with and

  14. Homework: Page 30: 27, 45, 53, 61 Page 38: 11, 13, 25, 27, 51, 55

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