Test your basic knowledge |

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. 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).






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






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






4. Is algebraic equation of degree one






5. The squaring operation only produces






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






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






8. 0 - which preserves numbers: a + 0 = a






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






10. May not be defined for every possible value.






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






12. If a < b and c < d






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






14. If a = b then b = a






15. A






16. 1 - which preserves numbers: a






17. The operation of multiplication means _______________: a






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






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






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






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






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






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






24. 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)






25. 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






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






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






28. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






29. Operations can have fewer or more than






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






31. The inner product operation on two vectors produces a






32. The value produced is called






33. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.






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






35. 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.






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






37. 1 - which preserves numbers: a^1 = a






38. 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)






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






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






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






42. Is called the codomain of the operation






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






44. 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






45. Is an action or procedure which produces a new value from one or more input values.






46. 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






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






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






49. 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.






50. The values combined are called