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






2. If a < b and c < 0






3. The operation of multiplication means _______________: a






4. Can be combined using the function composition operation - performing the first rotation and then the second.






5. Include composition and convolution






6. If a = b and c = d then a + c = b + d and ac = bd; that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.

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






8. In which the specific properties of vector spaces are studied (including matrices)






9. Symbols that denote numbers - is to allow the making of generalizations in mathematics






10. Is called the type or arity of the operation






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






12. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






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






14. The value produced is called






15. Will have two solutions in the complex number system - but need not have any in the real number system.






16. Is the claim that two expressions have the same value and are equal.






17. Involve only one value - such as negation and trigonometric functions.






18. The process of expressing the unknowns in terms of the knowns is called






19. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






20. Is an equation of the form X^m/n = a - for m - n integers - which has solution






21. Division ( / )






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






23. 0 - which preserves numbers: a + 0 = a






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






25. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






26. 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.






27. Is Written as ab or a^b






28. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






29. Is an equation involving integrals.






30. Is an equation where the unknowns are required to be integers.






31. If a < b and b < c






32. A binary operation






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






34. The squaring operation only produces






35. A unary operation






36. 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.






37. Is an equation involving derivatives.






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






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






40. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






41. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






42. Is called the codomain of the operation






43. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






44. (a






45. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






46. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






47. 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)






48. Is Written as a + b






49. The values combined are called






50. (a + b) + c = a + (b + c)







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