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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. Operations can have fewer or more than






2. Is an equation involving integrals.






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






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






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






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






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






8. 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)






9. b = b






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






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






12. If a < b and c < 0






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






14. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






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






17. The squaring operation only produces






18. If a < b and c < d






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






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






21. A unary operation






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






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






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






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






26. 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.






27. Are called the domains of the operation






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






29. 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






30. May not be defined for every possible value.






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






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






33. 1 - which preserves numbers: a






34. (a






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






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






37. The values combined are called






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






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






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






41. An operation of arity k is called a






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






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






44. A + b = b + a






45. 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






46. 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)






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






48. 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).






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






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







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