Linear Relations Word Problems Translating Words into Algebra

Linear Relations Word Problems: Translating Words into Algebra Unit 1

Warm-Up Question • In groups find words that mean: • • • Add Substract Multiply Divide Equal

Word Problems • The purpose of today’s lesson is to create linear equation(s) from a word problem. 1. Identify unknowns and declare them as variables. -Make sure the units agree. -This may involve some trial and error 2. Write the equations using the variables 3. Solve using the method of your choice. Choose carefully. 4. Write a concluding statement that answers the original question from the word problem

Ex. 1 Translate Words into Algebra a) Write each phrase as a mathematical expression i. The value five increased by a number ii. Seven less than twice a number

Ex. 1 Translate Words into Algebra b) Write the following sentence as a mathematical equation. i. Half of a value, decreased by seven, is one. ii. Twice a number subtracted from five is three more than seven times the number.

Ex. 1 Translate Words into Algebra c) Translate the following sentence into an equation, using two variables. i. Mario’s daily earnings are $80 plus 12% commission on his sales. i. Fitness Club 24/7 charges a $150 initial fee to join the club and a $20 monthly fee.

Ex. 2 Brian and Catherine want to get Internet access for their home. There are two companies in the area. IT Plus charges a flat rate of $25/month for unlimited use. Techies Inc. charges $10/month plus $1/h. If Brian and Catherine expect to use the Internet for approximately 18 h/month, which plan is the better option for them? Determine the two equations you would use to solve the problem.

Homework: • Translating Words into Symbols WS