NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 6-4 Homework Practice Algebra: Write Expressions Define a variable. Then write each phrase as an algebraic expression. 1. nine less than a number 2. five times the number of books in the library 3. three more pancakes than his brother ate 4. two more than seven times Lynn’s age 5. 9 minutes less than Frances’ time 6. SPORTS The distance around a basketball, or circumference, is about three times the circumference of a softball. Define a variable and write an expression to represent the circumference of a basketball. 7. PLUMBING A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable and write an expression to represent the total cost of hiring a plumber. 8. CAMPING A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed. Course 1 • Chapter 6 Expressions 93 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 6-4 Study Guide Algebra: Write Expressions Steps for writing an algebraic expression: Step 1: Describe the situation. Use only the most important words. Step 2: Define a variable by choosing a variable to represent the unknown quantity. Step 3: Translate your verbal model into an algebraic expression. Example 1 Write ten cans more than Vanessa collected as an algebraic expression. ten cans more than Vanessa collected Step 1: Words Vanessa Step 2: Variable c Let c represent the number of cans Vanessa collected. Step 3: Expression c 10 The expression is c + 10. Example 2 Tradd bought two movie tickets and one bottle of water. The water cost $2.50. Write an expression to represent the total amount he spent. Step 1: The tickets cost an unknown amount. Define a variable to represent the cost of one ticket. t Step 2: Show the cost of two tickets, plus $2.50. t t $2.50 The expression is 2t + 2.50. Course 1 • Chapter 6 Expressions 93