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






2. Is algebraic equation of degree one






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






4. (a + b) + c = a + (b + c)






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






6. Is called the type or arity of the operation






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






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






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






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






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






12. If a < b and c < 0






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






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






15. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






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






17. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






18. Subtraction ( - )






19. Is Written as ab or a^b






20. 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






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






22. 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.






23. Division ( / )






24. If a < b and b < c






25. 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.






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






27. A






28. 1 - which preserves numbers: a






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






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






31. 1 - which preserves numbers: a^1 = a






32. Not commutative a^b?b^a






33. If a < b and c < d






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






35. Can be defined axiomatically up to an isomorphism






36. 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.






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






38. The operation of multiplication means _______________: a






39. 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)






40. A unary operation






41. () 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.






42. Is Written as a






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






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






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






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






47. Are called the domains of the operation






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






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






50. A binary operation







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