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Thinking Mathematically

This guide explores the application of linear equations through various mathematical problems. For example, find the number where four subtracted from three times the number equals twenty. The solution involves setting up the equation 3x - 4 = 20, leading to the result that the number is 8. Additionally, we analyze a situation where the total number of sophomores and freshmen at a college is 2450, with 550 more freshmen than sophomores. By forming and solving the equation 2x + 550 = 2450, we determine there are 950 sophomores and 1500 freshmen.

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Thinking Mathematically

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  1. Thinking Mathematically Applications of Linear Equations

  2. Applications of Linear Equations Four subtracted from 3 times a number is 20. What is the number? Solution: x : The number 3x - 4: Three times the number minus 4 3x- 4 = 20 3x = 20 +4 = 24 x = 8 The number is 8.

  3. (x) + (x + 550): (sophomores) + (freshmen) 2x + 550 = 2450 2x = 2450 - 550 = 1900 x = 950 and x + 550 = 1500 Applications of Linear Equations Suppose there are 550 more freshmen in the college than there are sophomores. The total number of freshmen and sophomores is 2450. Find the number of freshmen and the number of sophomores. Solution: x : The number of sophomores x + 550: The number of freshmen There are 950 sophomores and 1500 freshmen.

  4. Thinking Mathematically Applications of Linear Equations

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