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






2. Logarithm (Log)






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






4. There are two common types of operations:






5. Is Written as a






6. Division ( / )






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






8. If a < b and c > 0






9. 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.






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






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






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






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






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






15. The inner product operation on two vectors produces a






16. 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).






17. 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






18. 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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19. (a






20. The value produced is called






21. May not be defined for every possible value.






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






23. If a < b and b < c






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






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






26. Is Written as a + b






27. Not commutative a^b?b^a






28. A binary operation






29. 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






30. Is called the type or arity of the operation






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






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






33. 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.






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






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






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






37. b = b






38. If a < b and c < 0






39. The codomain is the set of real numbers but the range is the






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






41. Are called the domains of the operation






42. k-ary operation is a






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






44. If a < b and c < d






45. () 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.






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






47. Operations can have fewer or more than






48. The squaring operation only produces






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






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