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Translating Sentences into Equations Objective – To translate word sentences into equations Applications of algebra frequently require you to translate word sentences about numbers into equations. Sometimes you can translate the words in order, sometimes you can’t. You may need grouping symbols. Twice the sum of a number and four is ten. 2 (n + 4) 2(n +4) = 10 = 10 When a number is multiplied by four and the result is decreased by six, the final result is 10. 4 n - 6 = 10 Three less than the number x is 12. x - 3 = 12 Remember, you have to be very careful when you see the words ‘less than’. x – 3 = 12 Use the figure and the information below to write and equation. Perimeter = the sum of all the sides 14 = 4 + 4 + x 14 = 8 + x 4 4 x Perimeter = 14 a. Choose a variable to represent the number described by the words in parentheses. b. Write an equation that represents the given information The distance traveled in 3 hours of driving was 240 km. (Hourly rate.) Let r be the hourly rate. Since rate x time = distance, r · 3 = 240, or 3r = 240 Assignment • Page 20 – 22 – #1 – 34 (Written exercises)