Exam 1: The Art of Problem Solving

Decide whether the argument is an example of inductive or deductive reasoning. -5 + 31 = 36, 17 + 5 = 22, 17 + 37 = 54. Therefore, the sum of two prime numbers is even.

Determine the indicated term in the given sequence. -The 9th term of 6, 5.7, 5.4, . . .

Use problem solving strategies to solve the problem. -The number of dogs and chickens on a farm add up to 12. The number of legs between them is 28. How many dogs and how many chickens are on the farm if there are at least twice as many Chickens as dogs?

Complete the magic (addition)square. A magic square has the property that the sum of the numbers in any row, column, or diagonal is the same. -Use each number 24, 25, 26, 27, 28, 29, 30, 31, and 32 once. 26 27 28 32 25

Use problem solving strategies to solve the problem. -There is a number between 2 and 8, such that if you raise any of the remaining numbers to the power of this number, the units digit of the result will always be equal to the base. What is the Number?

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -2.2 - 15.8 ÷ 2 + 2

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. - $\sqrt [ 5 ] { 33.95 }$

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -6, 12, 18, 30, 48, . . .

Use inductive reasoning to predict the next equation. -76 - 74 + 72 - 70 = 77 - 75 + 73 - 71 86 - 84 + 82 - 80 = 87 - 85 + 83 - 81

Determine the indicated term in the given sequence. -The 5th term of 3 , 6 , 12 , . . .

Use problem solving strategies to solve the problem. -A boxer takes 3 drinks of water after each of the first three rounds of a championship fight. After the fourth round he increases the number of drinks by 1. If he continues to increase his drinks by 1 After each round, how many drinks will he take between the 14th and 15th rounds?

Use this graph to answer the question. -What were the total sales for the first 6 months of 2009?

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. - $\sqrt { 1410.7536 }$

Use the indicated formula to find the sum. -Use $S = \frac { n ( n + 1 ) } { 2 }$ to find the sum of $20 + 21 + 22 + \ldots + 725$ .

Solve the problem using inductive reasoning. -Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once. Number of teams Number of games played 3 teams 3 games 4 teams 6 games 5 teams 10 games 6 teams - games 7 teams - games

Find a pattern and use it to solve the problem. -Find the next term: S, S, M, T, W

Use the appropriate formula to find the indicated figurate number. -the 14th hexagonal number

Use logic to solve the problem. -In India, water lilies grow extremely fast. In one pond, a lily grew so fast that each day it doubled the area it covered. In 28 days it covered the pond. How long would it take 2 such lilies to cover the Pond?

Use this graph to answer the question. -What month in 2009 had the highest sales?

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. - $4.6 ^ { 2 }$