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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. The inner product operation on two vectors produces a






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






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






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






5. An operation of arity k is called a






6. Is algebraic equation of degree one






7. If a < b and c < 0






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






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






10. If a = b then b = a






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






12. Division ( / )






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






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






15. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






16. Is Written as ab or a^b






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






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






19. Subtraction ( - )






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






21. 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)






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






23. 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)






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






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






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






27. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






28. Include composition and convolution






29. Can be added and subtracted.






30. A binary operation






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






32. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






33. 1 - which preserves numbers: a^1 = a






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






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






36. k-ary operation is a






37. Is Written as a






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






39. A + b = b + a






40. 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.






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






42. If a < b and b < c






43. 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).






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






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






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






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






48. The squaring operation only produces






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






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