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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. The values combined are called






2. There are two common types of operations:






3. If a < b and c > 0






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






5. 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)






6. Is an equation in which a polynomial is set equal to another polynomial.






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






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






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






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






11. 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






12. 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)






13. 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






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






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






16. Operations can have fewer or more than






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






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






19. Can be defined axiomatically up to an isomorphism






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






21. Division ( / )






22. Subtraction ( - )






23. If a < b and c < d






24. k-ary operation is a






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






26. If a = b and b = c then a = c






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






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






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






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






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






32. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






33. 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






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






35. Is algebraic equation of degree one






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






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






38. 1 - which preserves numbers: a






39. A






40. Logarithm (Log)






41. Not commutative a^b?b^a






42. If a = b then b = a






43. () 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.






44. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






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






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






47. The inner product operation on two vectors produces a






48. Is an equation involving integrals.






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






50. 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.







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