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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. Original x (1 - x/100) = New
Percent Decrease Formula
Equal
integer values
Axiom IV.

2. 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.
1
square root
Aliquant Part
referred to Unity in the same way

3. Cross-multiply
Zero (0)
To find out - easily - if one fraction is bigger than another
mixed fractions
Even

4. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
mixed number
simplify
ratio
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

5. A comparison of the two values of two numbers
Odd
dividend
Sum of Interior Angles of a Polygon: (n - 2) x 180
ratio

6. The whole is equal to all of its parts taken together.
Original x (1 - x/100) = New
y-coordinate
Axiom V.
A minus sign ( - ) is used for two entirely different purposes:

7. When will a decimal terminate and why?
Reducing by the Largest Common Factor (LCF)
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
right angle
Terminating decimal

8. What are the 2 'percent change' equations?
Proof
prime factorization
Odd or Non-Int
Original + Change = New Change/Original = Percent Change

9. A quadrilateral with one pair of parallel sides
pyramid
Change / Original Formula?
polygon
trapezoid

10. Profit = ?
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
2
Revenue ($) - Cost ($)
0

11. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an 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
Known (Given) and Unknown (Sought)
they have the same absolute value
x-coordinate

12. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Multitude
Sale Price - Unit Cost
1
change the operation from subtraction to addition

13. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Composite number
similar figures
x-axis
Original + Change = New Change/Original = Percent Change

14. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
parallel lines
Same units
congruent
mean

15. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
x-axis
quadrilateral
like fractions
y-coordinate

16. In a group of values - the value that occurs most often
mode
A minus sign ( - ) is used for two entirely different purposes:
Even
'six cubed'

17. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
multiplier
Absolute and Relative
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.
Mathematics

18. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Is zero
The concept of trading decimal places and how it works
Inserting a zero at the right end of a whole number
parallel lines

19. Odd +/- ____ = Odd
Even
Relative multitude
multiplicand
Aliquot Part

20. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
To square an equation to solve it
More
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
The rule for adding negative integers is the same as the rule for adding positive integers:

21. Two numbers listed in a specific order; it describes a point on the coordinate graph
ordered pair
y-coordinate
rhombus
multiplier

22. Is the opposite of raising fractions to higher terms.
integer values
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
Reducing fractions
Terminating decimal

23. A mirror image of a figure shown over a line of reflection
Known (Given) and Unknown (Sought)
mixed number
reflection
Unit Price x Qty. Sold

24. A parallelogram with all sides equal and congruent
rhombus
Carry the 10's digit of the product to the top of the 10's column of factors.
dividing the numerator and denominator by the same number
product

25. A solid figure that has triangles for its sides and a polygon as its base
commutative law of multiplication
pyramid
order of operations
Percent Change

26. The horizontal number line of a coordinate graph
Absolute and Relative
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
The height of a triangle
x-axis

27. Species and Number may be
Homogenous or Heterogenous
Aliquot and Aliquant Parts
Axiom I.
Same units

28. Even X Even = ? ... and is div. by ?
Even div. by 4
the same point on the number line
Mathematics
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New

29. A number with an exponent of 3 is often said to be
cubed
Arithmetic - Music - Geometry and Astronomy
the Complement of that part to the whole
squared

30. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
The height of a triangle
The bottom side of the triangle
Power notation

31. Rules that tell which steps to follow when solving an expression.
order of operations
Proof
pentagon
proportion

32. 5/8 --> Decimal ?
exactly the same portion
0.625
Even and Odd
sum

33. The Sum of n consecutive integers is divisible by n if n is
perimeter
Odd
improper fractions
Unit Cost + Markup

34. Part of the population that is studied to find the characteristics of the whole population.
sample
A = (Diagonal1 x Diagonal2) / 2
vertex (vertices - plural)
Terminating decimal

35. A fraction with a numerator that is larger than or equal to its denominator.
improper fraction
Decreases
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
complementary angle

36. An angle that measures 180 degrees
(Last - First + 1)
equilateral triangle
Equal
straight angle

37. What are the rules for picking numbers in VICS?
numerator
Reducing: The Brute-Force Method
polygon
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

38. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
numerator
Number Systems
Proof
proper fractions

39. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
Percent Decrease Formula
One... the number 2
Step 2 of Converting mixed numbers to improper fractions
2^3 = 8

40. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
Even
enclosing the numbers in a pair of vertical lines | |
Wage Rate ($ per hr) x Hrs worked

41. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
base
integers
combination of addition and subtraction

42. An eight-sided polygon
To add integers that have the same sign both positive or both negative:
octagon
pi
Decimals/Percents

43. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
unit ratio
Homogenous or Heterogenous
Relative multitude
Step 1 of Converting Improper Fractions to Mixed Numbers

44. A unit for measuring area
Unity - or a Unit
square unit
probability
A sum of 2 primes is Odd

45. A known quantity we refer to as One.
median
Converting mixed numbers to improper fractions.
Unity - or a Unit
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

46. An equation stating that two ratios are equal
equal to itself.
To add integers that have opposite signs:
multiplier
proportion

47. 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.
probability
composite number
percent
Revenue ($) - Cost ($)

48. The ratio of a number to 100 (per one hundred). The symbol %
percent
proportion
Arithmetic - Music - Geometry and Astronomy
supplementary angles

49. What is the formula forCounting consecutive integers?
Same units
polygon
Axiom VII.
(Last - First + 1)

50. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
scale drawing
'five squared'
factor
Whole Numbers