ALEKS Math Exam with Complete
Solutions
Real numbers - ANS-set of all rational and irrational numbers ex.) -√7, -1/3, 0, 1, 3/4
Integer - ANS-All whole numbers (both positive and negative) and zero.
Rational number - ANS-A number that can be written as a fraction
irrational number - ANS-Any real number which cant be expressed as a fraction of two
integers
linear in equality (shading) - ANS-If its greater than and equal to or greater then shade
above the line. if it is less than and equal to or greater then shade below the line
Inequalities multiplying or dividing by a negative number - ANS-the inequality sign flips
multiplying powers with the same base - ANS-add the exponents
multiply two monomials with powers - ANS-multiply by like terms and add their
exponents
dividing exponents - ANS-subtract the exponents
power to a power - ANS-multiply the exponents
Systems of linear equations - ANS-is a set of two or more linear equations in the same
variables. (goal find x and y coordinates
methods of solving linear equations - ANS-subsitiution, elimination
quadratic equations - ANS-a function that has the variable raised to the second power
Methods to Solving a Quadratic - ANS-Factoring, Graphing, Quadratic Formula,
completing the square, square roots
linear functions - ANS-Mathematical expressions in which the variables appear in
separate terms and are raised to the first power.
parabolic function - ANS-f(x)=x^2
Solutions
Real numbers - ANS-set of all rational and irrational numbers ex.) -√7, -1/3, 0, 1, 3/4
Integer - ANS-All whole numbers (both positive and negative) and zero.
Rational number - ANS-A number that can be written as a fraction
irrational number - ANS-Any real number which cant be expressed as a fraction of two
integers
linear in equality (shading) - ANS-If its greater than and equal to or greater then shade
above the line. if it is less than and equal to or greater then shade below the line
Inequalities multiplying or dividing by a negative number - ANS-the inequality sign flips
multiplying powers with the same base - ANS-add the exponents
multiply two monomials with powers - ANS-multiply by like terms and add their
exponents
dividing exponents - ANS-subtract the exponents
power to a power - ANS-multiply the exponents
Systems of linear equations - ANS-is a set of two or more linear equations in the same
variables. (goal find x and y coordinates
methods of solving linear equations - ANS-subsitiution, elimination
quadratic equations - ANS-a function that has the variable raised to the second power
Methods to Solving a Quadratic - ANS-Factoring, Graphing, Quadratic Formula,
completing the square, square roots
linear functions - ANS-Mathematical expressions in which the variables appear in
separate terms and are raised to the first power.
parabolic function - ANS-f(x)=x^2