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Lesson 3-4 Solving Multi-Step Equations Definition • Working Backward- work the axiom of order backwards. Examples • Solve each problem by working backwards. – A) A number is multiplied by seven, and then the product is added to 13. The result is 55. What is the number? – B) A bacteria population triples in number each day. If there are 2,187,000 bacteria on the seventh day, how many bacteria were there on the first day? Definition • Multi-step equations- an equation with more than one type of operation. Solve. Then check your solution. a) 5q 13 37 b) r 8 c) 2 3 s 9 11 12 Write an equation for the problem below. Then solve the equation. • Eight more than five times a number is negative 62. Definitions • Consecutive integers- are integers in counting order, such as 7, 8, and 9. • Number theory- The study of numbers and the relationship between them. • Find three consecutive odd integers whose sum is 57. • Find three consecutive integers whose sum is 42.