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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. Division ( / )






2. Is Written as ab or a^b






3. Is an equation involving integrals.






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






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






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






7. Not commutative a^b?b^a






8. A






9. A + b = b + a






10. 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.






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






12. 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).






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






14. Is an equation involving derivatives.






15. Is algebraic equation of degree one






16. Is called the type or arity of the operation






17. If a < b and c > 0






18. 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






19. Are called the domains of the operation






20. Is Written as a






21. The operation of multiplication means _______________: a






22. 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)






23. An operation of arity k is called a






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






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






26. Is Written as a + b






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






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






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






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






31. Not associative






32. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






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






34. 1 - which preserves numbers: a






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






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






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






38. Can be added and subtracted.






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






40. 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)






41. 1 - which preserves numbers: a^1 = a






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






43. Include composition and convolution






44. 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).






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






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






47. k-ary operation is a






48. A binary operation






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






50. Can be defined axiomatically up to an isomorphism