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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. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






2. 0 - which preserves numbers: a + 0 = a






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






4. Are called the domains of the operation






5. There are two common types of operations:






6. If a < b and b < c






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






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






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






10. Division ( / )






11. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






12. 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






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






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






15. The inner product operation on two vectors produces a






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






17. If a < b and c < 0






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






19. Include composition and convolution






20. Applies abstract algebra to the problems of geometry






21. A






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






23. The operation of multiplication means _______________: a






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






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






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






27. Is Written as ab or a^b






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






29. 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)






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






31. Not associative






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






33. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






34. If a < b and c < d






35. Operations can have fewer or more than






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






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






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






39. Logarithm (Log)






40. 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.






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






42. 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.






43. Is Written as a + b






44. The squaring operation only produces






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






46. The values combined are called






47. (a






48. 1 - which preserves numbers: a^1 = a






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






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







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