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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. Not associative






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






3. Is an equation involving integrals.






4. If a < b and c < d






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






6. May not be defined for every possible value.






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






8. The inner product operation on two vectors produces a






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






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






11. () 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.






12. 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).






13. Not commutative a^b?b^a






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






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






16. 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.






17. 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






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






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






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






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






22. 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






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






24. 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.






25. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






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






28. 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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29. 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).






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






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






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






33. Is an equation involving derivatives.






34. Is an equation involving a transcendental function of one of its variables.






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






36. An operation of arity k is called a






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






38. Can be defined axiomatically up to an isomorphism






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






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






41. k-ary operation is a






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






43. There are two common types of operations:






44. 1 - which preserves numbers: a






45. The values combined are called






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






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






48. Are called the domains of the operation






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






50. A