//chapter1 section 1 group 1 equation_identify_classify //

 var fib_equation_identify_classify_max_count = 8;

 var fib_equation_identify_classify_1 =
 ' An <input name="answer"> is a mathematical statement which contains an = symbol.';
 var answer_fib_equation_identify_classify_1 =
 'equation';

 var fib_equation_identify_classify_2 =
 ' An <input name="answer"> is an equation which is true for every real number in the domain of the variables.';
 var answer_fib_equation_identify_classify_2 =
 'identity';
 
  var fib_equation_identify_classify_3 =
 ' A <input name="answer"> equation is an equation which is true when some values are substituted for the '
 +'variables and is false when some values are substituted for the variables.'; 
  var answer_fib_equation_identify_classify_3 =
 'conditional';
 
  var fib_equation_identify_classify_4 =
 'A <input name="answer"> is an equation that has no solution.';
 var answer_fib_equation_identify_classify_4 =
 'contradiction';

 var fib_equation_identify_classify_5 =
 ' An identity is an <input name="answer"> which is true for every real number in the domain of the variables.';
 var answer_fib_equation_identify_classify_5 =
 'equation';
 
  var fib_equation_identify_classify_6 =
 'A contradiction is an equation that has <input name="answer"> solution.';
 var answer_fib_equation_identify_classify_6 =
 'no'; 
 
  var fib_equation_identify_classify_7 =
 ' An equation is a mathematical <input name="answer"> which contains an = symbol.';
 var answer_fib_equation_identify_classify_7 =
 'statement';
  
  var fib_equation_identify_classify_8 =
 ' An identity is an equation which is <input name="answer"> for every real number in the domain of the variables.';
 var answer_fib_equation_identify_classify_8 =
 'true';
 
   //chapter1 section 1 group 2 equation_solution_solve //
 
var fib_equation_solution_solve_max_count = 20;
  
var fib_equation_solution_solve_1 =
 ' A number (or numbers) that makes an equation <input name="answer"> when substituted for the variable (or variables) is '
 +'called a solution of the equation.';
var answer_fib_equation_solution_solve_1 = 'true';  

var fib_equation_solution_solve_2 =
 ' The collection of all <input name="answer"> of an equation is called the solution set of the equation';
var answer_fib_equation_solution_solve_2 = 'solutions';   
  
var fib_equation_solution_solve_3 =
 ' A number (or numbers) that makes an equation true when substituted for the variable (or variables) is '
 +'called a <input name="answer"> of the equation.';
var answer_fib_equation_solution_solve_3 = 'solution';   
  
var fib_equation_solution_solve_4 =
 ' Two equations are <input name="answer"> if they have the same solution sets.';
var answer_fib_equation_solution_solve_4 = 'equivalent';   
  
var fib_equation_solution_solve_5 =
 ' The process of finding all the solutions (the solution set) of an equation is called <input name="answer"> the equation.';
var answer_fib_equation_solution_solve_5 = 'solving';     
  
var fib_equation_solution_solve_6 =
 ' The collection of all solutions of an equation is called the solution <input name="answer"> of the equation';
var answer_fib_equation_solution_solve_6 = 'set';    
  
var fib_equation_solution_solve_7 =
 ' The process of finding <input name="answer"> the solutions (the solution set) of an equation is called solving the equation.';
var answer_fib_equation_solution_solve_7 = 'all';     
  
var fib_equation_solution_solve_8 =
 ' A <input name="answer"> equation is an equation which has a single variable on one side of the equal sign and a '
 +'single number on the other side.';
var answer_fib_equation_solution_solve_8 = 'simplest';  
  
var fib_equation_solution_solve_9 =
 ' Two equations are equivalent if they have the same <input name="answer"> sets.';
var answer_fib_equation_solution_solve_9 = 'solution';   
  
var fib_equation_solution_solve_10 =
 ' The collection of all solutions of an equation is called the <input name="answer"> set of the equation';
var answer_fib_equation_solution_solve_10 = 'solution';    
 
var fib_equation_solution_solve_11 =
 '  If any <input name="answer"> is added to both sides of an equation the resulting equation is equivalent '
 +'to the original equation.';
var answer_fib_equation_solution_solve_11 = 'expression';  

var fib_equation_solution_solve_12 =
 'If both sides of an equation are <input name="answer"> by the same non-zero real number, the resulting equation is '
 +'equivalent to the original equation.';
var answer_fib_equation_solution_solve_12 = 'multiplied';  

var fib_equation_solution_solve_13 =
 ' A <input name="answer"> equation is an equation which has a single variable on one side of the equal sign and a '
 +'single number on the other side.';
var answer_fib_equation_solution_solve_13 = 'simplest';    
  
var fib_equation_solution_solve_14 =
 '  If any expression is <input name="answer"> to both sides of an equation the resulting equation is equivalent '
 +'to the original equation.';
var answer_fib_equation_solution_solve_14 = 'added';   

var fib_equation_solution_solve_15 =
 'The <input name="answer"> of an equation consists of all the points, and only those points, whose coordinates '
 +'are solutions of the equation.';
var answer_fib_equation_solution_solve_15 = 'graph'; 

var fib_equation_solution_solve_16 =
 'If both sides of an equation are multiplied by the same non-zero real number, the resulting equation is '
 +'<input name="answer"> to the original equation.';
var answer_fib_equation_solution_solve_16 = 'equivalent'; 

var fib_equation_solution_solve_17 =
 '  If any expression is added to both sides of an equation the resulting equation is <input name="answer"> '
 +'to the original equation.';
var answer_fib_equation_solution_solve_17 = 'equivalent'; 

var fib_equation_solution_solve_18 =
 'The graph of an equation consists of all the points, and only those points, whose <input name="answer"> '
 +'are solutions of the equation.';
var answer_fib_equation_solution_solve_18 = 'coordinates'; 
  
var fib_equation_solution_solve_19 =
 'If both sides of an equation are multiplied by the same <input name="answer"> real number, the resulting equation is '
 +'equivalent to the original equation.';
var answer_fib_equation_solution_solve_19 = 'non-zero';   
  
 var fib_equation_solution_solve_20 =
 'The graph of an equation consists of all the points, and only those points, whose coordinates '
 +'are <input name="answer"> of the equation.';
var answer_fib_equation_solution_solve_20 = 'solutions';  


   //chapter1 section 1 group 3 equation_linear_one_variable //
 
var fib_equation_linear_one_variable_max_count = 8;
  
var fib_equation_linear_one_variable_1 =
 ' The process to solve a linear equation in one variable is to generate a sequence of equations '
 +'each <input name="answer"> to the previous equation until a simplest equation is obtained.';
var answer_fib_equation_linear_one_variable_1 = 'equivalent';  

var fib_equation_linear_one_variable_2 =
 ' The process to solve a linear equation in one variable is to generate a sequence of equations '
 +'each  equivalent to the previous equation until a  <input name="answer"> equation is obtained.';
var answer_fib_equation_linear_one_variable_2 = 'simplest'; 

var fib_equation_linear_one_variable_3 =
 ' A linear equation in one variable is an equation that can be written in the form <input name="answer"> '
 +'where a and b are real numbers with a not zero.';
var answer_fib_equation_linear_one_variable_3 = 'ax + b = 0'; 

var fib_equation_linear_one_variable_4 =
 ' The process to solve a linear equation in one variable is to generate a sequence of <input name="answer"> '
 +'each  equivalent to the previous equation until a simplest equation is obtained.';
var answer_fib_equation_linear_one_variable_4 = 'equations'; 

var fib_equation_linear_one_variable_5 =
 ' A  <input name="answer"> equation in one variable is an equation that can be written in the form ax + b = 0 '
 +'where a and b are real numbers with a not zero.';
var answer_fib_equation_linear_one_variable_5 = 'linear'; 

var fib_equation_linear_one_variable_6 =
 ' If the solution set for a linear equation in one variable is a set containing a single number, the '
 +'graph of that linear equation in one variable is a single <input name="answer"> on the Real Number Line.';
var answer_fib_equation_linear_one_variable_6 = 'point'; 

var fib_equation_linear_one_variable_7 =
 ' If the solution set for a linear equation in one variable is the <input name="answer"> set, that equation has no graph.';
var answer_fib_equation_linear_one_variable_7 = 'empty'; 

var fib_equation_linear_one_variable_8 =
 ' If the solution set for a linear equation in one variable is the empty  set, that equation has <input name="answer"> graph.';
var answer_fib_equation_linear_one_variable_8 = 'no'; 




   //chapter1 section3 group1 equation_quadratic_one_variable //
 
var fib_equation_quadratic_one_variable_max_count = 8;
  
var fib_equation_quadratic_one_variable_1 =
 'A <input name="answer"> is an equation which may be written in the form ax<sup>2</sup> + bx + c = 0 where a, b, and c are real numbers and a is not 0.';
var answer_fib_equation_quadratic_one_variable_1 = 'quadratic equation';  

var fib_equation_quadratic_one_variable_2 =
 'A quadratic equation is an <input name="answer"> which may be written in the form ax<sup>2</sup> + bx + c = 0 where a, b, and c are real numbers and a is not 0.';
var answer_fib_equation_quadratic_one_variable_2 = 'equation'; 

var fib_equation_quadratic_one_variable_3 =
 ' If the discriminant of a quadratic equation is negative, the equation will have <input name="answer"> real solutions.';
var answer_fib_equation_quadratic_one_variable_3 = 'no'; 

var fib_equation_quadratic_one_variable_4 =
 'If the discriminant of a quadratic equation is positive, the equation will have <input name="answer"> real solutions. ';
var answer_fib_equation_quadratic_one_variable_4 = 'two'; 

var fib_equation_quadratic_one_variable_5 =
 ' If a quadratic has two complex solutions those solutions are <input name="answer"> of each other.';
var answer_fib_equation_quadratic_one_variable_5 = 'conjugates'; 

var fib_equation_quadratic_one_variable_6 =
 'Every quadratic equation can be solved with the <input name="answer">.';
var answer_fib_equation_quadratic_one_variable_6 = 'quadratic formula'; 

var fib_equation_quadratic_one_variable_7 =
 'The graph of a quadratic equation in one variable with two real solutions consists of <input name="answer"> points on the real number line.';
var answer_fib_equation_quadratic_one_variable_7 = 'two'; 

var fib_equation_quadratic_one_variable_8 =
 'The graph of a quadratic equation in one variable is drawn on the <input name="answer">.';
var answer_fib_equation_quadratic_one_variable_8 = 'real number line'; 


   //chapter1 section4 group1 complex_numbers //
 
var fib_complex_numbers_max_count = 10;
  
var fib_complex_numbers_1 =
 'A <input name="answer"> is a number that can be written in the form a + bi where a and b are real numbers and i = <img src="../../images/square_root_of_negative_one.gif" width="38" height="29" align="absmiddle">';
var answer_fib_complex_numbers_1 = 'complex number';  

var fib_complex_numbers_2 =
 'The <input name="answer"> of the complex number a + bi is a<sup>2</sup> + b<sup>2</sup>. ';
var answer_fib_complex_numbers_2 = 'norm'; 

var fib_complex_numbers_3 =
 'The <input name="answer"> of the complex number a + bi is a - bi. ';
var answer_fib_complex_numbers_3 = 'conjugate';

var fib_complex_numbers_4 =
 'The <input name="answer"> of the complex number a + bi is -a - bi. ';
var answer_fib_complex_numbers_4 = 'opposite';

var fib_complex_numbers_5 =
 'The <input name="answer"> of the complex numbers 3 + 2i and 5 - 6i is 8 - 4i. ';
var answer_fib_complex_numbers_5 = 'sum';

var fib_complex_numbers_6 =
 'The norm of the complex number 5 - 6i is <input name="answer">. ';
var answer_fib_complex_numbers_6 = '61';

var fib_complex_numbers_7 =
 'The multiplicative inverse of a complex number is its <input name="answer"> divided by its norm. ';
var answer_fib_complex_numbers_7 = 'conjugate';

var fib_complex_numbers_8 =
 'The multiplicative inverse of a complex number is its conjugate divided by its <input name="answer">. ';
var answer_fib_complex_numbers_8 = 'conjugate';

var fib_complex_numbers_8 =
 'Two complex numbers a + bi and c + di are <input name="answer"> if a = c and b = d.';
var answer_fib_complex_numbers_8 = 'equal';

var fib_complex_numbers_9 =
 'The <input name="answer"> of the complex number 8  5i is 8.';
var answer_fib_complex_numbers_9 = 'real component';

var fib_complex_numbers_10 =
 'The multiplicative inverse of a complex number is its conjugate divided by its <input name="answer">. ';
var answer_fib_complex_numbers_10 = 'norm';