Chapter 1 – Connections to Algebra 1.5 – A Problem Solving Plan Using Models

When translating verbal phrases into Algebra, look for words that indicate operations Order is important for subtraction and division ONLY

1.5 – A Problem Solving Plan Using Models Example 1 Translate the phrase into an algebraic expression Six less than 4 times a number y Three more than the difference of five and a number n A number y decreased by the sum of 8 and the square of another number x

1.5 – A Problem Solving Plan Using Models Example 2 Translate the phrase into an algebraic expression Eight more than the sum of two times a number y and three Four less than the sum of five and twice a number n

1.5 – A Problem Solving Plan Using Models In English, there is a difference between a phrase and a sentence. Verbal phrases  expressions Verbal sentences  equations or inequalities

1.5 – A Problem Solving Plan Using Models Phrase The sum of four and a number Expression 4 + x Sentence The sum of four and a number is ten. Equation 4 + x = 10 Sentence Three times a number is less than twenty. Inequality 3x < 20

1.5 – A Problem Solving Plan Using Models Example 3 You and your friends go to Best Buy to buy DVD’s on sale for $6 each. Together you spent $77.76, including tax of $5.76. Use mental math to solve the equation for how many DVD’s you bought together.

1.5 – A Problem Solving Plan Using Models Example 4 A salesperson drives at a speed of 50 miles per hour. When he is 175 miles from his destination, he remembers he has a meeting in 3 hours. At his current speed, will he be on time for his meeting?

1.5 – A Problem Solving Plan Using Models HOMEWORK Page 35 #14 – 38 even