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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 operation of multiplication means _______________: a






2. If a < b and c > 0






3. If a < b and c < 0






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






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






6. 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).






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






8. 0 - which preserves numbers: a + 0 = a






9. The inner product operation on two vectors produces a






10. 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.






11. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






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






14. May not be defined for every possible value.






15. b = b






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






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






18. 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






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






20. Can be added and subtracted.






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






22. Is Written as a + b






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






24. A + b = b + a






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






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






27. k-ary operation is a






28. Is an equation in which the unknowns are functions rather than simple quantities.






29. 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






30. Not commutative a^b?b^a






31. In which abstract algebraic methods are used to study combinatorial questions.






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






33. 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.






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






35. Is called the codomain of the operation






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






37. If a < b and b < c






38. If a = b then b = a






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






40. Is an equation involving derivatives.






41. There are two common types of operations:






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






43. Operations can have fewer or more than






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






45. 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.






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






47. 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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48. If a < b and c < d






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






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







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Can you answer 50 questions in 15 minutes?


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