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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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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 purpose of the first step in Changing Integer Subtraction to Integer Addition is to
axiom
supplementary angles
x/100
change the operation from subtraction to addition

2. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
quotient
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
The sum of all the integers from 20 to 100 - inclusive
x = (+-) a

3. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Carry the 10's digit of the product to the top of the 10's column of factors.
Even
quadrilateral
commutative law of multiplication

4. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Even
Aliquant Part
5/8
prime number

5. The absolute value of the numerator is smaller than the absolute value of the denominator.
congruent
Step 2 of Converting mixed numbers to improper fractions
Decreases
proper fraction

6. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
proper fractions
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
like fractions
Even - Odd or Non-Int

7. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
inverse operations
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
To add integers that have the same sign (both positive or both negative):

8. One of those primes must be the number __ ?
A sum of 2 primes is Odd
Even div. by 4
median
2

9. A polygon with six sides.
1
Adding negative integers will always produce a negative sum
hexagon
A = (Base x Height) / 2 - A = (BH)/2

10. The smallest multiple that two or more numbers have in common
Odd or Non-Int
complementary angles
least common multiple (LCM)
Revenue ($) - Cost ($)

11. Expresses fractional parts that are greater than 1.
A = (D1 x D2) / 2
( (Last - First) / Increment ) + 1
Axiom VI.
mixed number

12. Having the same value
absolute value
they have the same absolute value
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
equivalent

13. A known quantity we refer to as One.
commutative law of multiplication
Unity - or a Unit
equilateral triangle
Even

14. Adding integers that have opposite signs means
one is positive and the other is negative
Even
proper fraction
To square an equation to solve it

15. The difference between the least and greatest values in a set of numbers.
mode
proper fractions
Axiom VII.
range

16. The lower number in a fraction is the
probability
Even
'six cubed'
denominator

17. Any value divided by one
Is equal to the original value
percent
A plus sign (+) is used for two entirely different purposes:
exactly the same portion

18. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
To make sure to solve for Both cases.
improper fractions
higher terms
Multitude

19. Odd +/- ____ = Odd
angle
Even
'six cubed'
prime number

20. To indicate the addition operation- to indicate a positive integer value
product
Original + Change = New Change/Original = Percent Change
A plus sign (+) is used for two entirely different purposes:
when there are explicit or implicit equations in the problem:

21. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
multiplicand
factor
Known (Given) and Unknown (Sought)

22. Whole is equal in Multitude to a Part of the other.
equal to 1
Equal
2
( (Last - First) / Increment ) + 1

23. Is equal to zero. 0 x a = 0
prism
Zero multiplied by any value
composite number
ordered pair

24. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
lowest terms
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
whether the addends have the same sign or opposite signs
Odd

25. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Magnitude
Positive-value integers
Aliquot Part
cross product

26. What are the only prime factors that a fraction resulting in a terminating decimals have?
acute angle
lowercase letters
2 and/or 5 only
common factor

27. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
2
Even and Odd
proportion
mixed fraction

28. The whole is equal to all of its parts taken together.
Relative multitude
integer or whole number
diameter
Axiom V.

29. Every quantity is equal to itself.
Aliquot and Aliquant Parts
Axiom II.
Increases the value.
Number

30. 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
Axiom V.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
To add integers that have opposite signs:
Axiom IV.

31. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mixed number
To add integers that have the same sign (both positive or both negative):
Percent Decrease Formula
Greater

32. A number with only two factors: the number itself and one.
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
To convert any fraction to higher terms
prime number
Increases the value.

33. The distance around a figure
simplify
circumference
x-axis
perimeter

34. To indicate the subtraction operation - to indicate a negative integer value
proper fractions
A minus sign ( - ) is used for two entirely different purposes:
Relative multitude
A plus sign (+) is used for two entirely different purposes:

35. In a division problem - it's the number being divided
Decreases
x = (+-) a
dividend
Whole

36. An eight-sided polygon
octagon
Axiom I.
numerator
Shift DP 2 places left

37. 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:
Axiom IV.
acute angle
Original x (1 - x/100) = New

38. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Axiom II.
proper fraction
2 and/or 5 only
More

39. A number that tells how many times the base is multiplied by itself
simplify
exponent
from left to right
When numbers do not divide evenly

40. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
radius
Inserting a zero at the right end of a whole number
square unit

41. A quadrilateral with one pair of parallel sides
2^3 = 8
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
mixed number
trapezoid

42. Reducing fractions is
dividing the numerator and denominator by the same number
similar figures
quotient
Evaluating Powers With Negative Exponents

43. ' x percent' = ?
1 and itself
x/100
Number Systems
composite number

44. Basic Number Properties and elementary operations.
x-axis
Number Systems
Zero multiplied by any value
Aliquant Part

45. A value that combines a whole number and a fractional amount
mixed number
To add integers that have opposite signs:
Step 1 of Converting Improper Fractions to Mixed Numbers
mean

46. A triangle with one right angle
right triangle
1 - (y/100)
Long Division
Even

47. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
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
Inequality
improper fraction

48. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
range
To add integers that have the same sign (both positive or both negative):
One... the number 2
x-coordinate

49. 'y percent less than' = ?
1 - (y/100)
ordered pair
vertex (vertices - plural)
quadrilateral

50. A triangle with two equal sides and two equal angles
absolute value
squared
Odd
isosceles triangle