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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. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






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






4. 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.






5. Is called the codomain of the operation






6. Is algebraic equation of degree one






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






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






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






10. The operation of multiplication means _______________: a






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






12. 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)






13. Can be added and subtracted.






14. Not commutative a^b?b^a






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






16. If a < b and b < c






17. The values combined are called






18. The value produced is called






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






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






21. (a






22. 0 - which preserves numbers: a + 0 = a






23. 1 - which preserves numbers: a^1 = a






24. The inner product operation on two vectors produces a






25. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






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






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






28. A






29. 1 - which preserves numbers: a






30. 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






31. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






32. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






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






34. Operations can have fewer or more than






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






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






37. An operation of arity k is called a






38. If a < b and c > 0






39. Is an equation of the form log`a^X = b for a > 0 - which has solution






40. Is an equation involving derivatives.






41. 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)






42. The squaring operation only produces






43. If a < b and c < d






44. 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.






45. Include composition and convolution






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






47. k-ary operation is a






48. In an equation with a single unknown - a value of that unknown for which the equation is true is called






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






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