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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. A binary operation






2. 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).






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






4. A






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






6. If a < b and b < c






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






8. May not be defined for every possible value.






9. A + b = b + a






10. 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






11. Is Written as a + b






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






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






14. Include composition and convolution






15. 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.






16. Logarithm (Log)






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






18. Involve only one value - such as negation and trigonometric functions.






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






20. Operations can have fewer or more than






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






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






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






24. 0 - which preserves numbers: a + 0 = a






25. 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)






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






27. Is called the codomain of the operation






28. An operation of arity zero is simply an element of the codomain Y - called a






29. If a < b and c > 0






30. Not associative






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






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






33. 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






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






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






36. 1 - which preserves numbers: a






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






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






39. k-ary operation is a






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. Are called the domains of the operation






42. Division ( / )






43. 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






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






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






46. 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).






47. Not commutative a^b?b^a






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






49. The values combined are called






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