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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. Include composition and convolution






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. 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.






4. Can be added and subtracted.






5. Is Written as ab or a^b






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






7. 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)






8. 1 - which preserves numbers: a






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






10. The squaring operation only produces






11. 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.






12. 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






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






14. Are called the domains of the operation






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






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






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






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






19. Is an equation involving derivatives.






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






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






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






23. (a






24. The inner product operation on two vectors produces a






25. A + b = b + a






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






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






29. () 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.






30. If a < b and b < c






31. 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






32. Not commutative a^b?b^a






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






34. 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






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






36. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






37. Are true for only some values of the involved variables: x2 - 1 = 4.






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






39. 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).






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






41. 0 - which preserves numbers: a + 0 = a






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






43. 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)






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






45. Not associative






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






47. Is called the type or arity of the operation






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






49. Is an equation where the unknowns are required to be integers.






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







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