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






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






3. A unary operation






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






5. The inner product operation on two vectors produces a






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






7. 1 - which preserves numbers: a






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






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






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






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






12. Are called the domains of the operation






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






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






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






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






17. 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).






18. Is called the codomain of the operation






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






20. Can be defined axiomatically up to an isomorphism






21. 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






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






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






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






25. The operation of multiplication means _______________: a






26. Operations can have fewer or more than






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






28. 0 - which preserves numbers: a + 0 = a






29. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






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






31. Is Written as ab or a^b






32. 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.

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






34. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






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






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






37. Is algebraic equation of degree one






38. 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)






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






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






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






42. 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






43. 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






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






45. 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.






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






48. k-ary operation is a






49. () 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.






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