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CLEP College Algebra: Algebra Principles

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. A binary operation






2. Not associative






3. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






4. Letters from the beginning of the alphabet like a - b - c... often denote






5. Is an action or procedure which produces a new value from one or more input values.






6. The value produced is called






7. If a < b and b < c






8. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






9. The codomain is the set of real numbers but the range is the






10. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






11. A vector can be multiplied by a scalar to form another vector






12. Is an equation involving a transcendental function of one of its variables.






13. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






14. Can be added and subtracted.






15. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






16. 1 - which preserves numbers: a






17. If a < b and c < d






18. Include the binary operations union and intersection and the unary operation of complementation.






19. Are true for only some values of the involved variables: x2 - 1 = 4.






20. The values combined are called






21. An operation of arity k is called a






22. A






23. Is called the type or arity of the operation






24. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






25. Is Written as a + b






26. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






27. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






28. Include composition and convolution






29. Is a function of the form ? : V ? Y - where V ? X1






30. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






31. The inner product operation on two vectors produces a






32. In which properties common to all algebraic structures are studied






33. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






34. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






35. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






36. Are called the domains of the operation






37. There are two common types of operations:






38. A + b = b + a






39. Is an equation involving integrals.






40. Is algebraic equation of degree one






41. Is Written as a






42. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






43. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






44. If a = b then b = a






45. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






46. Are denoted by letters at the beginning - a - b - c - d - ...






47. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






48. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






49. Logarithm (Log)






50. If it holds for all a and b in X that if a is related to b then b is related to a.