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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

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. To make a fraction easier to work with by taking out common factors
order of operations
integer or whole number
1 and itself
simplify

2. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Shift DP 2 places left
product
perimeter
More

3. What is the increment of a set of consecutive integers?
fraction or broken number
1
Multitudes and Magnitudes
cross product

4. Everything may be assumed as unity.
Reducing by the Largest Common Factor (LCF)
Axiom I.
radius
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices

5. Two numbers are said to be equal (=) when they are at
the same point on the number line
x-axis
Homogenous or Heterogenous
sample

6. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
ordered pair
inverse operations
lowercase Variables
common denominator

7. The result of multiplying two or more numbers.
( (Last - First) / Increment ) + 1
Whole
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
product

8. The numerator is smaller than the denominator
Step 1 of Converting mixed numbers to improper fractions
polygon
simplify
proper fraction

9. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
radius
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
improper fraction
Even

10. Two numbers listed in a specific order; it describes a point on the coordinate graph
ordered pair
To add integers that have opposite signs:
Absolute and Relative
the Complement of that part to the whole

11. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
There are two parts in the procedure for subtracting signed integers:
Reducing fractions
least common multiple (LCM)
Axiom IX.

12. The whole is more or greater than its part.
Change + - Original = New
Axiom IV.
improper fraction
Line Segments

13. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
composite number
squared
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
quotient

14. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Adding negative integers will always produce a negative sum
Even
parallel lines
Greater

15. A number that when multiplied by itself results in the original number
cross product
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
x-axis
square root

16. A value such as 6^3 can described as

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17. Operations enclosed in a sign of grouping
Always completed first
Number
(Last - First + 1)
To add integers that have the same sign both positive or both negative:

18. Always perform the operations
Being divided by a power of 10
Same units
from left to right
base

19. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
1
Change + - Original = New
ordered pair

20. Every quantity is equal to itself.
Axiom II.
order of operations
polygon
Parts

21. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
ratio
factors of the multiplication operation
Even - Odd or Non-Int
whether the addends have the same sign or opposite signs

22. Things are Equal in Magnitude when they are
referred to the same Unit
mixed fraction
proportion
perimeter

23. What are the properties of the diagonals of a Rhombus?
Axiom IX.
right triangle
Whole
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

24. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Inserting a zero at the left end of a whole number
A minus sign ( - ) is used for two entirely different purposes:
quotient
Axiom IX.

25. What are the rules for picking numbers in VICS?
supplementary angles
inverse
ordered pair
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices

26. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Both
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Whole
Wage Rate ($ per hr) x Hrs worked

27. When will a decimal Not terminate and why?
similar figures
prime factorization
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Different Units

28. All whole numbers (both positive and negative) and zero.
'five squared'
integers
Unknown quantities
UnitPrice ($/unit) x Qty.Purchas'd (units)

29. The difference between the least and greatest values in a set of numbers
Axiom II.
y-coordinate
range
(Last - First + 1)

30. A whole number can be expressed as an improper fraction by
quadrant
acute angle
putting that number over 1
parallel lines

31. Any number with an exponent of 0
Original + Change = New Change/Original = Percent Change
mixed fractions
equal to 1
diameter

32. The ratio of integers that results in a terminating decimal
Change / Original Formula?
Some integer/Some Power of 10
x/100
integer values

33. A triangle with sides of different lengths and no two angles are the same.
reciprocal
scalene triangle
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Relative multitude

34. In a group of values - the value that occurs most often
numerator
octagon
Even
mode

35. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
numerator
y-axis
Sum of Interior Angles of a Polygon: (n - 2) x 180
farther to the left on the number line

36. 1 to any power is equal to
diameter
1
Power notation
Some integer/Some Power of 10

37. When the factors of a number are all prime numbers - the factors are said to be the
1
cross product
Zero (0)
prime factors

38. What is the perimeter of a Polygon?
Shift DP 2 places left
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
numerator
Unit Price x Qty. Sold

39. A sign of grouping can be omitted when it
vertex (vertices - plural)
percent
contains only a single number
unit ratio

40. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
radius
simplify
Step 1 of Converting Improper Fractions to Mixed Numbers
enclosing the numbers in a pair of vertical lines | |

41. What is the formula for: The Area of a Triangle ?
Parts
quotient
median
A = (Base x Height) / 2 - A = (BH)/2

42. Things are Equal in Multitude when they are
proportion
referred to Unity in the same way
The sum of all the integers from 20 to 100 - inclusive
median

43. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Mathematics
Axiom X.
theorem
integer or whole number

44. A statement that needs to be demonstrated and is called in Latin demonstrandum.
factor
range
The concept of trading decimal places and how it works
theorem

45. Rules that tell which steps to follow when solving an expression.
Magnitude at Rest and Magnitude in Motion
order of operations
To square an equation to solve it
square root

46. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
prime factorization
Odd
x-coordinate
2 and/or 5 only

47. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
Power notation
Original + Change = New Change/Original = Percent Change
Even

48. Profit = ?
absolute value
like fractions
Revenue ($) - Cost ($)
radius

49. A number is increased by 25%... what must you reduce the new number by to get the old number again?
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
dividend
least common multiple (LCM)
rhombus

50. A fraction with a numerator that is larger than or equal to its denominator.
improper fraction
order of operations
1 and itself
To find out - easily - if one fraction is bigger than another