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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. Are called the domains of the operation






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






3. Is an algebraic 'sentence' containing an unknown quantity.






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






5. Is an equation in which the unknowns are functions rather than simple quantities.






6. 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.






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






8. Operations can have fewer or more than






9. Is Written as a






10. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






11. The value produced is called






12. The values for which an operation is defined form a set called its






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






14. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






15. The operation of exponentiation means ________________: a^n = a






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






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






18. An operation of arity k is called a






19. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






20. Is an equation involving derivatives.






21. Is Written as ab or a^b






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






23. There are two common types of operations:






24. May not be defined for every possible value.






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






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






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






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






29. Division ( / )






30. 1 - which preserves numbers: a^1 = a






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






32. In which abstract algebraic methods are used to study combinatorial questions.






33. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






34. That 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.






35. If a < b and b < c






36. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






37. A binary operation






38. The values of the variables which make the equation true are the solutions of the equation and can be found through






39. 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






40. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






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






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






43. Can be added and subtracted.






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






45. (a






46. b = b






47. Is an equation of the form aX = b for a > 0 - which has solution






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






49. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






50. Applies abstract algebra to the problems of geometry






Can you answer 50 questions in 15 minutes?



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