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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. 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






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






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






4. Not associative






5. 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.






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






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






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






9. 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






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






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






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






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






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






15. Is an equation involving derivatives.






16. 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






17. A unary operation






18. Is Written as a + b






19. Is an equation involving integrals.






20. If a = b then b = a






21. b = b






22. Are called the domains of the operation






23. 1 - which preserves numbers: a






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






26. Is algebraic equation of degree one






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






28. The value produced is called






29. 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






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






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






32. 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.






33. Include composition and convolution






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






35. Is Written as a






36. The operation of multiplication means _______________: a






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






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






39. If a < b and b < c






40. () 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.






41. If a < b and c < d






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






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






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






45. (a






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






47. 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).






48. Is called the type or arity of the operation






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