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






2. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






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






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






5. 0 - which preserves numbers: a + 0 = a






6. Include composition and convolution






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






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






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






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






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






12. (a






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






14. 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)






15. The values combined are called






16. k-ary operation is a






17. If a < b and c > 0






18. Is Written as a






19. If a = b then b = a






20. Is an equation involving integrals.






21. 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






22. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






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






24. The squaring operation only produces






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






26. 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






27. If a < b and c < d






28. 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).






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






30. A unary operation






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






32. Subtraction ( - )






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






34. Is an equation in which a polynomial is set equal to another polynomial.






35. Symbols that denote numbers - is to allow the making of generalizations in mathematics






36. Applies abstract algebra to the problems of geometry






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






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






39. Logarithm (Log)






40. Division ( / )






41. Not associative






42. Not commutative a^b?b^a






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






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






45. Is an equation involving derivatives.






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






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






48. May not be defined for every possible value.






49. Is Written as ab or a^b






50. A binary operation