//chapter1 section1 group1 equation_identify_classify //

 var san_equation_identify_classify_max_count = 5;
 
 var san_equation_identify_classify_1 =
 'An equation is a conditional equation.';
 var answer_san_equation_identify_classify_1 =
 'sometimes';
  var feedback_right_san_equation_identify_classify_1 =
 'CORRECT:  Can you give an example of a mathematical statement which is an equation but is not a conditional equation?';
  var feedback_wrong_san_equation_identify_classify_1 =
 'INCORRECT:  Some equations, like 3 + 4 = 7, are identities and other equations, '
 +'like x<sup>2</sup> = -4 are contradictions.  Only sometimes are equations classified as conditional equations.';
 
 
var san_equation_identify_classify_2 =
 'An conditional equation is an equation.';
 var answer_san_equation_identify_classify_2 =
 'always';
  var feedback_right_san_equation_identify_classify_2 =
 'CORRECT:';
  var feedback_wrong_san_equation_identify_classify_2 =
 'INCORRECT:  The definition of conditional equation begins with An equation is a ... which mandates '
 +'that every conditional equation be first of all an equation.'; 

 
var san_equation_identify_classify_3 =
 'An equation contains a variable.';
 var answer_san_equation_identify_classify_3 =
 'sometimes';
  var feedback_right_san_equation_identify_classify_3 =
 'CORRECT:  Can you give an example of an equation which does not contain a variable?<br>'
 +'Can you give an example of an equation which contains exactly three variables.';
  var feedback_wrong_san_equation_identify_classify_3 =
 'INCORRECT:  Some equations, like 3 + 4 = 7 contain no variables.'; 
 
 var san_equation_identify_classify_4 =
 'An equation contains an equal symbol.';
 var answer_san_equation_identify_classify_4 =
 'always';
  var feedback_right_san_equation_identify_classify_4 =
 'CORRECT:';
  var feedback_wrong_san_equation_identify_classify_4 =
 'INCORRECT:The definition of equation requires two things: first the object must be a mathematical expression and '
 +',secondly the object must contain an equal symbol';
 
 var san_equation_identify_classify_5 =
 'An identity is an equation.';
 var answer_san_equation_identify_classify_5 =
 'always';
  var feedback_right_san_equation_identify_classify_5 =
 'CORRECT:';
  var feedback_wrong_san_equation_identify_classify_5 =
 'INCORRECT:  The definition of identity requires that it be an equation.'; 
 
 
 
 //chapter1 section1 group2 equation_solution_solve //
 
 var san_equation_solution_solve_max_count = 6;
  
   
  var san_equation_solution_solve_1 =
 'An equation has a solution.';
 var answer_san_equation_solution_solve_1 =
 'sometimes';
  var feedback_right_san_equation_solution_solve_1 =
 'CORRECT:';
  var feedback_wrong_san_equation_solution_solve_1 =
 'INCORRECT:  A contradiction is an equation and it has no solutions.'; 
 
  var san_equation_solution_solve_2 =
 'If 17 is added to both sides of an equation, the resulting equation has the same solution set as '
 +'the original equation.';
 var answer_san_equation_solution_solve_2 =
 'always';
  var feedback_right_san_equation_solution_solve_2 =
 'CORRECT: ';
  var feedback_wrong_san_equation_solution_solve_2 =
 'INCORRECT:  The first property of equations states that if an expression (17 is an expression) '
 +'is added to both sides of an equation, the resulting equation is equivalent to the original and the definition '
 +'of equivalent equations states that two equations are equivalent if they have the same solution set.  '
 +'Consequently adding 17 to both sides of an equation yields an equation with the same solution set as '
 +'the original.';  
 
  var san_equation_solution_solve_3 =
 'If 3 - 5x is added to both sides of an equation, the resulting equation has the same solution set as '
 +'the original equation.';
 var answer_san_equation_solution_solve_3 =
 'always';
  var feedback_right_san_equation_solution_solve_3 =
 'CORRECT: ';
  var feedback_wrong_san_equation_solution_solve_3 =
 'INCORRECT:  The first property of equations states that if an expression (3 - 5x is an expression) '
 +'is added to both sides of an equation, the resulting equation is equivalent to the original and the definition '
 +'of equivalent equations states that two equations are equivalent if they have the same solution set.  '
 +'Consequently adding 3 - 5x to both sides of an equation yields an equation with the same solution set as '
 +'the original.';  
 
 
  var san_equation_solution_solve_4 =
 'If both sides of an equation are multiplied by 17, the resulting equation has the same solution set as '
 +'the original equation.';
 var answer_san_equation_solution_solve_4 =
 'always';
  var feedback_right_san_equation_solution_solve_4 =
 'CORRECT: ';
  var feedback_wrong_san_equation_solution_solve_4 =
 'INCORRECT:  The second property of equations states that if both sides of an equation are multiplied by a non-zero '
 +'real number (17 is a non-zero real number), the resulting equation is equivalent to the original '
 +'and the definition of equivalent equations states that two equations are equivalent if they have the same '
 +'solution set. Consequently multiplying both sides of an equation by 17 yields an equation which has the same solution '
 +'set as the original equation.';  
 
 var san_equation_solution_solve_5 =
 'If both sides of an equation are multiplied by 3x, the resulting equation has the same solution set as '
 +'the original equation.';
 var answer_san_equation_solution_solve_5 =
 'sometimes';
  var feedback_right_san_equation_solution_solve_5 =
 'CORRECT: ';
  var feedback_wrong_san_equation_solution_solve_5 =
 'INCORRECT:  The second property of equations states that if both sides of an equation are multiplied by a non-zero '
 +'real number (3x is NOT a non-zero real number).  There is no property which states that multiplication by a '
 +'variable expression will yield an equivalent equation. In fact multiplying both sides of an equation by a variable '
 +'expression sometimes yields an equation which has the same solution set as the original equation AND sometimes yields '
 +'an equation which has a different solution set.';  
 
  var san_equation_solution_solve_6 =
 'If 7 is solution of two different equations, then those two equations are equivalent.';
 var answer_san_equation_solution_solve_6 =
 'sometimes';
  var feedback_right_san_equation_solution_solve_6 =
 'CORRECT: ';
  var feedback_wrong_san_equation_solution_solve_6 =
 'INCORRECT:  Two equations are equivalent if they have the same solution sets.  Simply sharing a solution '
+'a solution is not sufficient to make to equations equivalent.'; 


 //chapter1 section 1 group 3 equation_linear_one_variable //
 
 var san_equation_linear_one_variable_max_count = 4;
  
   
  var san_equation_linear_one_variable_1 =
 'A linear equation in one variable has no solution.';
 var answer_san_equation_linear_one_variable_1 =
 'sometimes';
  var feedback_right_san_equation_linear_one_variable_1 =
 'CORRECT:  What are the other possibilities ?';
  var feedback_wrong_san_equation_linear_one_variable_1 =
 'INCORRECT:  Some linear equation in one variable have no solutions, others have one solution, and others have infinitiy many solutions.'; 
 
  var san_equation_linear_one_variable_2 =
 'A linear equation in one variable has one solution.';
 var answer_san_equation_linear_one_variable_2 =
 'sometimes';
  var feedback_right_san_equation_linear_one_variable_2 =
 'CORRECT:  What are the other possibilities ?';
  var feedback_wrong_san_equation_linear_one_variable_2 =
 'INCORRECT:  Some linear equation in one variable have no solutions, others have one solution, and others have infinitiy many solutions.'; 
 
  
 var san_equation_linear_one_variable_3 =
 'A linear equation in one variable has infinitly many solutions.';
 var answer_san_equation_linear_one_variable_3 =
 'sometimes';
  var feedback_right_san_equation_linear_one_variable_3 =
 'CORRECT:  What are the other possibilities ?';
  var feedback_wrong_san_equation_linear_one_variable_3 =
 'INCORRECT:  Some linear equation in one variable have no solutions, others have one solution, and others have infinitiy many solutions.'; 
  
 var san_equation_linear_one_variable_4 =
 'A linear equation in one variable has a graph.';
 var answer_san_equation_linear_one_variable_4 =
 'sometimes';
  var feedback_right_san_equation_linear_one_variable_4 =
 'CORRECT:  Can you construct a linear equation in one variable which has no graph ?';
  var feedback_wrong_san_equation_linear_one_variable_4 =
 'INCORRECT:  A linear equation in one variable which has no solution has no graph while any other linear equation in one variable does have a graph.'; 
   
 
 //chapter1 section3 group1 equation_quadratic_one_variable //
 
 var san_equation_quadratic_one_variable_max_count = 7;
     
var san_equation_quadratic_one_variable_1 = 'A quadratic equation in one variable has no real solution.';
var answer_san_equation_quadratic_one_variable_1 = 'sometimes';
var feedback_right_san_equation_quadratic_one_variable_1 = 'CORRECT:  What are the other possibilities ?';
var feedback_wrong_san_equation_quadratic_one_variable_1 = 'INCORRECT:  Some quadratic equations in one variable have no real solutions, others have one real solution, and others two real solutions.'; 
 
  var san_equation_quadratic_one_variable_2 =
 'A quadratic equation in one variable has one solution.';
 var answer_san_equation_quadratic_one_variable_2 =
 'sometimes';
  var feedback_right_san_equation_quadratic_one_variable_2 =
 'CORRECT:  What are the other possibilities ?';
  var feedback_wrong_san_equation_quadratic_one_variable_2 =
 'INCORRECT:  Some quadratic equations in one variable have no real solutions, others have one real solution, and others two real solutions.'; 
 
  
 var san_equation_quadratic_one_variable_3 =
 'A quadratic equation in one variable can be solved with the Quadratic Formula.';
 var answer_san_equation_quadratic_one_variable_3 =
 'always';
  var feedback_right_san_equation_quadratic_one_variable_3 =
 'CORRECT:  ';
  var feedback_wrong_san_equation_quadratic_one_variable_3 =
 'INCORRECT: '; 
  
 var san_equation_quadratic_one_variable_4 =
 'A quadratic equation in one variable can be solve by factoring in conjunction with The Zero Factor Property.';
 var answer_san_equation_quadratic_one_variable_4 =
 'sometimes';
  var feedback_right_san_equation_quadratic_one_variable_4 =
 'CORRECT:  Can you construct a quadratic equation in one variable which cannot be factored ?';
  var feedback_wrong_san_equation_quadratic_one_variable_4 =
 'INCORRECT:  '; 
   
 var san_equation_quadratic_one_variable_5 =
 'The graph of a quadratic equation in one variable is on the Real Number Line';
 var answer_san_equation_quadratic_one_variable_5 =
 'always';
  var feedback_right_san_equation_quadratic_one_variable_5 =
 'CORRECT:  ';
  var feedback_wrong_san_equation_quadratic_one_variable_5 =
 'INCORRECT:  ';  
 
 var san_equation_quadratic_one_variable_6 =
 'The discriminant of a quadratic equation in one variable is a complex number.';
 var answer_san_equation_quadratic_one_variable_6 =
 'never';
  var feedback_right_san_equation_quadratic_one_variable_6 =
 'CORRECT:  ';
  var feedback_wrong_san_equation_quadratic_one_variable_6 =
 'INCORRECT:  If a, b, and c are real numbers then b<sup>2 - 4ac is a real number.';   
 
 
 var san_equation_quadratic_one_variable_7 =
 'One solution of a quadratic equation in one variable is a real number and another solution of the same equation is a complex number.';
 var answer_san_equation_quadratic_one_variable_7 =
 'never';
  var feedback_right_san_equation_quadratic_one_variable_7 =
 'CORRECT:  ';
  var feedback_wrong_san_equation_quadratic_one_variable_7 =
 'INCORRECT:  '; 
 
 
   //chapter1 section4 group1 complex_numbers // 
 
  var san_complex_numbers_max_count = 11;
     
var san_complex_numbers_1 = 'A complex number is a real number.';
var answer_san_complex_numbers_1 = 'sometimes';
var feedback_right_san_complex_numbers_1 = 'CORRECT: ';
var feedback_wrong_san_complex_numbers_1 = 'INCORRECT:  '; 
 
var san_complex_numbers_2 = 'A real number is a complex number.';
var answer_san_complex_numbers_2 = 'always';
var feedback_right_san_complex_numbers_2 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_2 = 'INCORRECT:  '; 
 
  
var san_complex_numbers_3 = 'The norm of a complex number is a real number.';
var answer_san_complex_numbers_3 = 'always';
var feedback_right_san_complex_numbers_3 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_3 = 'INCORRECT: '; 
  
var san_complex_numbers_4 = 'i<sup>2</sup> is a real number.';
var answer_san_complex_numbers_4 = 'always';
var feedback_right_san_complex_numbers_4 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_4 = 'INCORRECT:  '; 
   
var san_complex_numbers_5 = 'The opposite of a non-real complex number is a non-real complex number.';
var answer_san_complex_numbers_5 = 'always';
var feedback_right_san_complex_numbers_5 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_5 = 'INCORRECT:  ';  
 
var san_complex_numbers_6 = 'The square of a complex number is a non-negative real number.';
var answer_san_complex_numbers_6 = 'sometimes';
var feedback_right_san_complex_numbers_6 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_6 = 'INCORRECT: ';   
 
 
var san_complex_numbers_7 = 'A complex number may be solved.';
var answer_san_complex_numbers_7 = 'never';
var feedback_right_san_complex_numbers_7 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_7 = 'INCORRECT:  '; 
 
var san_complex_numbers_8 = 'The product of two complex numbers is a real number.';
var answer_san_complex_numbers_8 = 'sometimes';
var feedback_right_san_complex_numbers_8 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_8 = 'INCORRECT:  ';  
 
var san_complex_numbers_9 = 'The sum of two complex numbers is a real number.';
var answer_san_complex_numbers_9 = 'sometimes';
var feedback_right_san_complex_numbers_9 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_9 = 'INCORRECT:  ';   
 
var san_complex_numbers_10 = 'The complex component of a complex number is a real number.';
var answer_san_complex_numbers_10 = 'always';
var feedback_right_san_complex_numbers_10 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_10 = 'INCORRECT:  ';   
 
var san_complex_numbers_11 = 'The product of a complex number and its conjugate is its norm.';
var answer_san_complex_numbers_11 = 'always';
var feedback_right_san_complex_numbers_11 = 'CORRECT:  ';
var feedback_wrong_san_complex_numbers_11 = 'INCORRECT:  ';