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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. () 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.






2. The value produced is called






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






4. 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).






5. If a < b and c > 0






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






7. If a < b and c < d






8. 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






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






10. Logarithm (Log)






11. If a < b and c < 0






12. Not associative






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






14. If a = b then b = a






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






16. Is an equation involving derivatives.






17. There are two common types of operations:






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






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






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






21. 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.






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






23. Subtraction ( - )






24. Can be added and subtracted.






25. A unary operation






26. Is Written as ab or a^b






27. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






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






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






30. 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.






31. Operations can have fewer or more than






32. 1 - which preserves numbers: a






33. 1 - which preserves numbers: a^1 = a






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






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






36. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






37. The values combined are called






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






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






40. 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






41. A binary operation






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






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






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






45. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






46. 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.






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






48. 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






49. k-ary operation is a






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







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