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






2. Operations can have fewer or more than






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






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






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






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






7. Is Written as a






8. The operation of multiplication means _______________: a






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






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






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






12. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






13. 1 - which preserves numbers: a






14. A + b = b + a






15. Is called the codomain of the operation






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






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






18. Can be defined axiomatically up to an isomorphism






19. Can be added and subtracted.






20. An operation of arity k is called a






21. 1 - which preserves numbers: a^1 = a






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






23. Is algebraic equation of degree one






24. If a < b and c > 0






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






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






27. May not be defined for every possible value.






28. 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






29. Can be combined using logic operations - such as and - or - and not.






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






31. Is an equation involving derivatives.






32. If a = b then b = a






33. Include composition and convolution






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






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






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






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






38. 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)






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






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






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






42. b = b






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






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






45. Referring to the finite number of arguments (the value k)






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






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






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






49. 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).






50. A







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Can you answer 50 questions in 15 minutes?


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