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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. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






2. Can be added and subtracted.






3. 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






4. Is called the type or arity of the operation






5. Is an equation involving derivatives.






6. k-ary operation is a






7. 0 - which preserves numbers: a + 0 = a






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






9. 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






10. If a < b and c > 0






11. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






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






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






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






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






16. b = b






17. Subtraction ( - )






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






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






20. 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






21. If a < b and c < 0






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






23. Are denoted by letters at the beginning - a - b - c - d - ...






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






25. The operation of multiplication means _______________: a






26. There are two common types of operations:






27. 1 - which preserves numbers: a






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






29. Is Written as ab or a^b






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






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






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. A binary operation






34. () 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.






35. 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)






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






37. The inner product operation on two vectors produces a






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






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






40. 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).






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






42. Is an equation involving integrals.






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






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






45. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






46. 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.






47. If a < b and c < d






48. An operation of arity k is called a






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






50. A unary operation