# Concerning Certain Solvable Equations with Functional by Machal A.D.

By Machal A.D.

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Score the solution as full credit, partial credit, or no credit. Explain your choice. If you choose partial credit or no credit, explain how you would change the answer to earn a score of full credit. 0 Week, x Profit, y 0 2$320 –50 1 2$280 –100 2 2$240 3 2$200 4 2$160 –200 5 2$120 –250 It will take Peter 8 weeks to make back the cost of the lawn mower. To find my answer, I reasoned that since it took 4 weeks to make back half the cost of the lawn mower, it must take 8 weeks to make back the full cost of the lawn mower.

KEY TERM U sequence The Pythagoreans were a society founded by Pythagoras of Samos (c. ). They studied numbers, music, and geometry. Patterns and Sequences 15 GOAL b b LEARN HOW TO... U U find a rule to extend a pattern make a table to organize your work AS YOU... U explore patterns using pattern blocks . . . . . . . . . KEY TERMS U U U rule term term number . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7 8 9 10 Describe the order in which the operations are performed to get the answers shown. a. 3 6 2 5 = 13 b. 20 2 6 2 = 8 c. 30 4 10 + 5 = 8 d. 15 2 4 3 + 6 = 9 How do parentheses affect the order in which operations are performed? ) a. 3 (6 2 5) = 3 b. (20 2 6) 2 = 28 c. 30 4 (10 + 5) = 2 d. (15 2 4) 3 + 6 = 39 Try This as a Class Use your results from Questions 5–8. Describe the order of operations in a way that is clear and easy to remember. For each problem, write an expression that uses both addition and multiplication and can be used to solve the problem.