Test your basic knowledge |

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. Logarithm (Log)






2. Not associative






3. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






4. 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






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






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






7. If a < b and b < c






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






9. The value produced is called






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






11. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






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






13. 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.






14. Is called the codomain of the operation






15. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






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






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






18. A binary operation






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






20. 1 - which preserves numbers: a^1 = a






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






22. 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.






23. 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






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






25. An operation of arity k is called a






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






27. Is Written as ab or a^b






28. The squaring operation only produces






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






30. Is the claim that two expressions have the same value and are equal.






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






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






33. 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)






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






35. 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.






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






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






38. If a = b then b = a






39. The values combined are called






40. 0 - which preserves numbers: a + 0 = a






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






42. May not be defined for every possible value.






43. There are two common types of operations:






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






45. Is Written as a + b






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






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






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






49. Include composition and convolution






50. 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)