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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. Logarithm (Log)






2. Is an equation involving derivatives.






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






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






5. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






6. May not be defined for every possible value.






7. A binary operation






8. The operation of multiplication means _______________: a






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






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






11. If a < b and c > 0






12. Is Written as a






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






14. 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






15. 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.






16. 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.






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






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






19. Is an equation involving integrals.






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






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






22. Symbols that denote numbers - is to allow the making of generalizations in mathematics






23. () 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.






24. k-ary operation is a






25. Include composition and convolution






26. Is Written as a + b






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






28. Can be added and subtracted.






29. 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.






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






31. A






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






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






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






35. 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)






36. 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






37. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






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






42. Can be defined axiomatically up to an isomorphism






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






44. There are two common types of operations:






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






46. 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).






47. The inner product operation on two vectors produces a






48. 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






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






50. 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).