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Creating Algebraic Expressions and Equations from Real-World Problems

This guide provides a clear approach to writing algebraic expressions and equations based on various scenarios. Learn how to express relationships such as "six less than five times n" or "Doug's age compared to Lee's." Examples include calculating Jose's last year's salary based on current earnings, understanding energy consumption differences between TVs, and determining a baseball player's batting average using at-bats and hits. Mastery of these concepts will enhance your problem-solving skills in algebra.

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Creating Algebraic Expressions and Equations from Real-World Problems

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  1. 2-9 Writing EquationsWarm-up Problems • Write an algebraic expression. • Six less than five times n. • One third the sum of p and q. • Doug is five years more than 3 times Lee’s age. Let L be Lee’s age. Write an expression for Doug’s age. • Let d be the number of miles Jay runs each week. Nina runs 5 less than twice as far as Jay. Write an expression for the distance Nina runs each week.

  2. Chapter 2 2-9 Writing Equations

  3. Example 1 • Write an equation that could be used to solve the problem. • Jose’s salary this year was $23,400. This is $1700 more than he made last year. What was his salary last year?

  4. Example 2 • Write an equation that could be used to solve the problem. 2. A color television set uses about 420 kilowatt hours (kWh) of electrical energy in a year. That is 3.5 times the amount of energy used by a black-and-white set. How many kWh does a black-and-white set use in a year?

  5. Example 3 • Write an equation that could be used to solve the problem. 3. In baseball, a player’s batting average multiplied by the number of times at bat equals the number of hits. A player had 125 at-bats and 36 hits. What was this player’s batting average?

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