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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. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
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 make sure to solve for Both cases.
Original x (1 - x/100) = New
0

2. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
Long Division
Same units
probability
composite number

3. The result of muliplying two or more numbers
product
Inequality
farther to the right on the number line.
A = (D1 x D2) / 2

4. The exact procedure for adding signed integers depends upon
Unity - or a Unit
Axiom X.
whether the addends have the same sign or opposite signs
square unit

5. Cross-multiply
To find out - easily - if one fraction is bigger than another
Odd
quadrilateral
Axiom VIII.

6. A triangle with one right angle
prime factorization
scalene triangle
quotient
right triangle

7. The sum of a group of numbers divided by the number of numbers. Also known as the average.
One... the number 2
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
factor
mean

8. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
like fractions
When numbers do not divide evenly
Zero (0)

9. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
Is zero
(Last - First + 1)
Computation

10. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
composite number
absolute value
exponent
The Ratio of Any two of the following: Original - Change and New

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
Even
congruent
rectangle
There are two parts in the procedure for subtracting signed integers:

12. A parallelogram with four right angles
0.625
percent
order of operations
rectangle

13. Is the opposite of raising fractions to higher terms.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Even
improper fraction
Reducing fractions

14. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
polygon
When to use the Heavy Division Shortcut - and how to do it
2
Aliquot Part

15. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
1 and itself
square unit
prime number
vertex (vertices - plural)

16. A value such as 5^2 can be called

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17. Is equal to the original value. a x 1 = 1
Is zero
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Greater
Any value multiplied by one

18. Two or more fractions that have the same denominator
trapezoid
Arithmetic - Music - Geometry and Astronomy
Reducing fractions
like fractions

19. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
Revenue ($) - Cost ($)
median
( (Last - First) / Increment ) + 1

20. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
rhombus
rectangle
y-coordinate

21. What are the only prime factors that a fraction resulting in a terminating decimals have?
2
2 and/or 5 only
expression
To add integers that have the same sign (both positive or both negative):

22. 5/8 --> Decimal ?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
0.625
least common multiple (LCM)
mode

23. Is the agreement of things in Quanity.
unit ratio
'five squared'
Equality
greatest common factor (GCF)

24. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
putting that number over 1
Reducing: The Brute-Force Method
x-coordinate
fraction or broken number

25. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Known quantities
lowest terms
Being divided by a power of 10
The concept of trading decimal places and how it works

26. Species of Quantities are signified by
When to use the Heavy Division Shortcut - and how to do it
lowercase letters
1 - (y/100)
When numbers do not divide evenly

27. The Sum of n consecutive integers is divisible by n if n is
Odd
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
right angle
product

28. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
common factor
order of operations
Number
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements

29. A triangle with sides of different lengths and no two angles are the same
Revenue ($) - Cost ($)
A sum of 2 primes is Odd
scalene triangle
equivalent

30. 0 to any power is equal to
median
congruent
0
Sum of Interior Angles of a Polygon: (n - 2) x 180

31. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
How the Last Digit Shortcut works
mean
Even

32. 1 to any power is equal to
1
quadrant
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
mixed fraction

33. A number with only two factors: the number itself and one.
the Complement of that part to the whole
prime number
Multitudes and Magnitudes
composite number

34. What are the 3 main formulaic properties of evenly-spaced sets?
Computation
Percent Change
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
ratio

35. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
2
0.625
lowercase Variables
isosceles triangle

36. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
polygon
Multitude

37. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
equilateral triangle
absolute value
y-coordinate
To add integers that have opposite signs:

38. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
lowercase Variables
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
x-axis

39. Any number with an exponent of 0
proportion
equal to 1
the Complement of that part to the whole
reflection

40. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
divisor
Reducing: The Brute-Force Method
Absolute and Relative
Step 2 of Converting Improper Fractions to Mixed Numbers

41. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
x-coordinate
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
they have the same absolute value
When to use the Heavy Division Shortcut - and how to do it

42. Breaking down a composite number until all of the factors are prime
Number Systems
order of operations
prime factorization
Even

43. The terms Species and Number
Parts
Quantity is expressed
the Complement of that part to the whole
Proof

44. To indicate the subtraction operation - to indicate a negative integer value
unit ratio
A minus sign ( - ) is used for two entirely different purposes:
Even
enclosing the numbers in a pair of vertical lines | |

45. The largest single factor for two or more numbers.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
greatest common factor (GCF)
polygon
The Ratio of Any two of the following: Original - Change and New

46. The ratio of a number to 100 (per one hundred); the symbol %
percent
perimeter
(Last - First + 1)
Axiom VIII.

47. What is the formula forCounting consecutive multiples?
percent
quotient
( (Last - First) / Increment ) + 1
Even div. by 4

48. Multiply both the numerator and denominator by the same integer value.
equilateral triangle
prism
median
To convert any fraction to higher terms

49. A triangle that has three equal sides and three equal angles
A = (D1 x D2) / 2
The bottom side of the triangle
Even and Odd
equilateral triangle

50. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
rectangle
pi
Is equal to the original value
multiplicand