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






2. 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.






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






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






5. Logarithm (Log)






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






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






8. Is called the codomain of the operation






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






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






11. Is Written as a + b






12. 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.






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






14. 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).






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






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






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






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






19. Is an equation involving derivatives.






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






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






22. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






23. The inner product operation on two vectors produces a






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






25. Are called the domains of the operation






26. A






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






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






29. Is an equation involving integrals.






30. Operations can have fewer or more than






31. Division ( / )






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






33. If a = b then b = a






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






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






36. 1 - which preserves numbers: a






37. 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)






38. A + b = b + a






39. The process of expressing the unknowns in terms of the knowns is called






40. If a < b and b < c






41. A binary operation






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






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






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






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






46. 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)






47. b = b






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






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






50. (a