MAT126 Week 1 Questions. See if the below questions apply to your course version. Solutions and where to find more information on each question is in the tutorial.
 1.    Question     State whether the following sequence is arithmetic, geometric, or neither.
4, 15, 26, 37, 48, 59, .....

               arithmetic sequence               geometric sequence               neither      
 2.    Question     Perform the indicated operations
4•3²-2•4

               28               56               136               568  

 3.    Question     The process of arriving at a specific conclusion based on previously accepted general statements is called ___________ reasoning.

         

 4.    Question     State whether the following sequence is arithmetic, geometric, or neither.
10, 10.25, 10.50625, 10.76890625, ....

              arithmetic sequence                geometric sequence               neither      

 5.    Question     Let U = {5, 10, 15, 20, 25, 30, 35, 40}
     A = {5, 10, 15, 20}
     B = {25, 30, 35, 40}
     C = {10, 20, 30, 40}.
Find A  ⋂  C.

              {5, 15, 30, 40}               Ø               {5, 10, 15, 20, 30, 40}                {10, 20}
 6.    Question     Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue

pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained exactly two of the three writing instruments?

              11               2               3                15
 7.    Question     Which sentence is not a statement?

              2 x 4 = 7                8 + 2               Jan and Ella are neighbors.               Bill is a photographer.  
 8.    Question     The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as

opposed to peak time. Round to the nearest hundreth.

               $1.76               $1.78               $3.52               $2.42
 9.    Question     In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math.  How many students were

taking a math class only?

              8                7               18               1
 10.    Question     Round to the nearest hundredth. 2.8749

              2.8740               2.8750                2.8700               2.8800
 11.    Question     A recipe calls for 3 cups of flour. If the baker wants to make half a recipe, how much flour should be used?

              6 cups                1 1/2 cups               2/3 cups               5 cups
 12.    Question     Which of the following expressions finishes the equation to demonstrate the associative property of addition?

(3+8)+5=

              3(8+5)               (3-8)-5               5+(3+8)                3+(8+5)  
 13.    Question     Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 1  3  7  13  15  19  25  27  31  37  ____

               39               41               43               45  
 14.    Question     Round to the nearest hundred. 3,653

     
 
 15.    Question     Write the set using set-builder notation {natural numbers greater than 11}.

              {12, 13, 14, 15, . . .}                {x | x  ∈  N and x > 11}               {x | x > 11}               {11, 12, 13, 14, . . .}      


 16.    Question     Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16 ____


 17.    Question     Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue

pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained none of the three writing instruments?

              3               11                2               15
 18.    Question     Find the general term of the set.  {8, 12, 16, 20, 24, . . .}

              8n                4n + 4               3n + 5               5n + 3         
         


 19.    Question     Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.11 12 9 10 7 8 5 6 ____

              7                3               5               9
 20.    Question     Which property of real numbers does the following equation demonstrate?
        4(x – 7) = 4x – 28

               distributive property               commutative property               associative property               inverse property