1.6 Translating Problems into Equations Objective: To translate simple word problems into equations. Warm – up: – A season ticket good for 39 basketball games costs $1092. (Cost of one admission with this ticket) – One eighth of a pizza sold for $0.95. (Cost of the whole pizza) – A student solves all but the last four exercises in a homework assignment of 30 exercises. (Number of exercises solved)

1.6 Translating Problems into Equations Steps to solving word problems: – Step 1: Decide what the unknowns are. Decide what the facts are. – Step 2: Choose a variable for one unknown. Write an expression for the other unknown using the variable and one of the facts. – Step 3: Use the other fact from the problem to write an equation.

1.6 Translating Problems into Equations (1)Marta has twice as much money as Heidi. (2)Together they have $36. How much does each have? Step 1: – The unknowns are the amounts of money Marta and Heidi have. Step 2: Use sentence (1). – Choose a variable: Let h be the Heidi’s amount of money. – Then ________ is Marta’s amount of money. Step 3: Use sentence (2). – Write an equation: ____________________

1.6 Translating Problems into Equations (1)State College has 620 students. (2)There are 20 more women than men. How many women are there? Step 1: – The unknowns are the number of women and men. Step 2: Use sentence (1). – Choose a variable: Let m be the number of men on campus. – Then ___________ is the number of women on campus. Step 3: Use sentence (2). – Write an equation: ____________________

1.6 Translating Problems into Equations Examples: (1)The Steelers won half as many games as they lost. (2)They played 16 games. How many games did they win? Homework: – Pg. 24 Problems #1 – 11 odd