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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 vector can be multiplied by a scalar to form another vector






2. Is Written as a






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






4. b = b






5. Operations can have fewer or more than






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






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






8. (a






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






10. If a < b and c > 0






11. 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.

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12. The inner product operation on two vectors produces a






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






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






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






16. 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.






17. If a < b and c < d






18. Logarithm (Log)






19. A






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






21. There are two common types of operations:






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






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






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






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






26. 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.






27. Not commutative a^b?b^a






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






29. Are called the domains of the operation






30. 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






31. Is called the type or arity of the operation






32. k-ary operation is a






33. Not associative






34. Is Written as ab or a^b






35. Is an equation of the form X^m/n = a - for m - n integers - which has solution






36. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






37. 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).






38. The values combined are called






39. The values of the variables which make the equation true are the solutions of the equation and can be found through






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






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






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






43. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






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






45. A binary operation






46. The squaring operation only produces






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






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






49. Applies abstract algebra to the problems of geometry






50. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.