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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 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.






2. 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.






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






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






5. 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






6. The squaring operation only produces






7. 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






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






9. Include composition and convolution






10. 0 - which preserves numbers: a + 0 = a






11. If a < b and c > 0






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






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






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






15. Subtraction ( - )






16. 1 - which preserves numbers: a






17. The operation of multiplication means _______________: a






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






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






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






21. If a < b and c < 0






22. () 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.






23. The inner product operation on two vectors produces a






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






25. Not associative






26. Is an equation involving integrals.






27. The values combined are called






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






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






30. Is an equation involving derivatives.






31. 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).






32. If a = b then b = a






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






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






35. In which the specific properties of vector spaces are studied (including matrices)






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






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






38. 1 - which preserves numbers: a^1 = a






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






40. 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






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






42. 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






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






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






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






46. A






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






48. An operation of arity k is called a






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






50. Is Written as a