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






2. () 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.






3. If a < b and c > 0






4. 0 - which preserves numbers: a + 0 = a






5. Operations can have fewer or more than






6. The inner product operation on two vectors produces a






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






8. b = b






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






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






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






12. Applies abstract algebra to the problems of geometry






13. 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).






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






15. 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






16. 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






17. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






18. 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.






19. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






20. 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






21. Is algebraic equation of degree one






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






23. 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.






24. k-ary operation is a






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






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






28. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






29. A






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






31. If a < b and b < c






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






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






34. A + b = b + a






35. Is an equation involving integrals.






36. A unary operation






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






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






39. Logarithm (Log)






40. A binary operation






41. The value produced is called






42. If a < b and c < 0






43. The squaring operation only produces






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






45. 1 - which preserves numbers: a






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






47. Can be defined axiomatically up to an isomorphism






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






49. Include composition and convolution






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