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Adrian Mathesis

The greatest unsolved theorem in mathematics is why some people are better at it than others.
In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.

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Prerequisite 205 Tests Checklists

 

Mathematics 205 Diagnostic Exam: Part 1

 

15 Questions

Passing Score:  12

 

Review the following concepts prior to testing.  You will be allowed two attempts and then will be required to have a thirty-day waiting period and visit with your instructor.

 

 

 

Order of operations with integers

 

Zero divided by a non-zero number

 

How placement of an exponent affects the answer

 

Adding fractions

 

Subtracting fractions

 

Multiplying fractions

 

Absolute value

 

Dividing fractions

 

Word problems involving arithmetic operations

 

Adding decimals

 

Subtracting decimals

 

Multiplying decimals

 

Dividing decimals

 

Decimals raised to powers

 

Dividing by zero

 

 

 

 

Mathematics 205 Diagnostic Exam:  Part 2

 

20 Questions

Passing Score: 14

 

Review the following concepts prior to testing.  You will be allowed two attempts and then will be required to have a thirty-day waiting period and visit with your instructor.

 

 

 

Simplify algebraic expressions

 

Solve linear equations using addition

 

Solve linear equations using multiplication

 

Solve linear equations using + and x

 

Solve linear equations involving fractions 5

 

Solve linear equations involving decimals

 

Solve absolute value equations

 

Word problems involving ratios and percents

 

Integer exponents applied to algebraic fractions 

 

Slope of a line

 

Exponents - product rule

 

Exponents - power rule

 

Reading graphs

 

Equations of lines

 

Factor polynomials

 

Common factors

 

Difference of squares

 

General trinomials

 

Add - subtract polynomials

 

Multiply polynomials

 

Solving linear inequalities

 

 

 

Mathematics 205 Diagnostic Exam: Part 3

 

20 Questions

Passing Score:  14

 

Review the following concepts prior to testing.  You will be allowed two attempts and then will be required to have a thirty-day waiting period and visit with your instructor.

 

 

Find common denominators of algebraic fractions.

 

Simplify algebraic fractions

 

Add and subtract algebraic fractions

 

Multiply and divide algebraic fractions

 

Simplify complex fractions

 

Solve fractional equations

 

Evaluate functions.

 

Solve systems of equations.

 

Solve formulas for a given letter

 

Solve absolute value inequalities.

 

Simplify radicals.

 

Add and subtract radicals.

 

Multiply and divide radicals

 

Solve equations with radicals

 

Solve quadratic equations

 

Numerical sequences

 

Simplify rational exponents 

 

Word problems with perimeter, area and geometric figures volume.

 

Other word problems

 

Find the domain of functions.

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