3-11 More Expressions and Equations Warm-ups Write an algebraic expression. 1.The sum of x and the quantity three times x 2.The differences between c and one third of c 3.The integer one greater than the integer n 4.The product of s and the quantity s plus 5 5.Three times the number n

Chapter More Expressions and Equations

Example 1 The cost of a main-floor seat is three times as much as the cost of a balcony seat. Write an expression showing the total cost for one of each type of seat. Let b = cost of a balcony seat. 3b = cost of a main floor seat. b + 3b = total cost

Try This a.There are half as many boys in a certain club as there are girls. Write an expression for the total number of boys and girls.

Example 2 Write an expression for the sum of an integer and three times the next larger integer. Let x = an integer (x + 1) = the next larger integer x + 3(x + 1) = the sum of an integer and three times the next integer

Try This b.Write an expression for the sum of three consecutive odd integers.

Example 3 Solve. Manuel scored 35 points fewer in his second bowling game than in his first game. His total score for two games was 395. How many points did he score in each game? let f = points in the first game f – 35 = points scored in the second game Second game = f – 35 = 215 – 35 = 180

Try This Solve. c.The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions. d.The sum of an integer and twice the next consecutive integer is 29. What are the integers?