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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. 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






2. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






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






5. Is algebraic equation of degree one






6. If a < b and b < c






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






8. The operation of multiplication means _______________: a






9. Is Written as ab or a^b






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






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






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






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






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






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






16. Is an equation involving derivatives.






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






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






19. 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)






20. Are called the domains of the operation






21. Is Written as a + b






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






23. (a






24. k-ary operation is a






25. 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.






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. If a < b and c < 0






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






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






30. The value produced is called






31. Not associative






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






33. Subtraction ( - )






34. Is an equation involving integrals.






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






36. Include composition and convolution






37. Is called the type or arity of the operation






38. 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.






39. 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.






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






41. Is Written as a






42. Logarithm (Log)






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






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






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






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






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






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






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






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







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Can you answer 50 questions in 15 minutes?


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