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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. The squaring operation only produces






2. Is called the codomain of the operation






3. 0 - which preserves numbers: a + 0 = a






4. If a < b and c < d






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






6. 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.






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






8. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






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






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






11. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






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






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






14. The value produced is called






15. Are called the domains of the operation






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






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






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






19. Include composition and convolution






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






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






22. 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'.






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






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






25. Is Written as ab or a^b






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






27. 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.






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






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






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






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






33. If a = b then b = a






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






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






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






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






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






39. If a < b and c < 0






40. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






41. A binary operation






42. Applies abstract algebra to the problems of geometry






43. In which abstract algebraic methods are used to study combinatorial questions.






44. May not be defined for every possible value.






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






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






47. 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






48. 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).






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






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







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