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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. Basic Number Properties and elementary operations.
exponent
Number Systems
improper fraction
numerator
2. When are you allowed to divide by a variable - (or Any expression) ?
Sale Price - Unit Cost
both integers are positive or both are negative
'six cubed'
When you are absolutely sure the variable or expression <> 0
3. The two kinds of Multitude
scalene triangle
Absolute and Relative
cylinder
perimeter
4. A unit for measuring area
probability
square unit
prime factors
acute angle
5. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Aliquant Part
Shift DP 2 places right
ratio
To add integers that have opposite signs:
6. Multiply both the numerator and denominator by the same integer value.
x = (+-) a
improper fractions
putting that number over 1
To convert any fraction to higher terms
7. An equation stating that two ratios are equal
Odd
proportion
Quantity
Reducing by the Largest Common Factor (LCF)
8. To indicate the subtraction operation - to indicate a negative integer value
diameter
rectangle
A minus sign ( - ) is used for two entirely different purposes:
Decreases
9. The ratio of a number to 100 (per one hundred). The symbol %
percent
integer values
improper fraction
Greater
10. 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
always clear the innermost groups first
mixed fraction
median
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
11. Rules that tell which steps to follow when solving an expression
Even div. by 4
order of operations
vertex (vertices - plural)
Step 1 of Converting Improper Fractions to Mixed Numbers
12. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
exactly the same portion
polygon
vertex (vertices - plural)
proper fraction
13. 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.
Axiom VI.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
like fractions
To add integers that have the same sign (both positive or both negative):
14. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
Unit Cost + Markup
sum
Unit Price x Qty. Sold
15. A number with an exponent of 3 is often said to be
product
cubed
the Complement of that part to the whole
change the operation from subtraction to addition
16. Can have many different combinations of factors
Composite number
Revenue ($) - Cost ($)
Unit Price x Qty. Sold
improper fraction
17. How many Even primes are there?
One... the number 2
range
Even
mode
18. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
square root
divisor
ordered pair
19. Sale Price = ?
dividing the numerator and denominator by the same number
expression
Unit Cost + Markup
Even
20. Is Always perpendicular (at 90 deg. to) the base!
The height of a triangle
exactly the same portion
Same units
Relative multitude
21. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Inserting a zero at the right end of a whole number
Converting mixed numbers to improper fractions.
reciprocal
More
22. In a division problem - it's the number being divided
mean
The Decimal Numbering System
prime number
dividend
23. What are the rules for picking numbers in VICS?
1
denominator
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
equilateral triangle
24. 'y percent less than' = ?
2
y-coordinate
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
1 - (y/100)
25. Things are Equal in Multitude when they are
Alternative to the algebraic manipulation method to solving a VIC
greatest common factor (GCF)
unit ratio
referred to Unity in the same way
26. A quadrilateral with one pair of parallel sides
octagon
lowest terms
trapezoid
Decreases
27. A fraction with a numerator that is larger than or equal to its denominator.
polygon
The Ratio of Any two of the following: Original - Change and New
mode
improper fraction
28. The result of muliplying two or more numbers
product
proper fractions
5/8
sample
29. The absolute value of the numerator is smaller than the absolute value of the denominator.
mixed number
ratio
octagon
proper fraction
30. Where do fractions occur on a number line?
dividend
Fractions allow you to plot values between whole numbers and integers.
quotient
mode
31. A triangle with one right angle
right triangle
supplementary angles
When to use the Heavy Division Shortcut - and how to do it
Negative-value integers
32. A Polygon is a closed shape formed by
perimeter
octagon
Line Segments
Reducing by the Largest Common Factor (LCF)
33. The distance around a circle (the perimeter of a circle).
hexagon
To add integers that have the same sign (both positive or both negative):
circumference
Percent Decrease Formula
34. All whole numbers (both positive and negative) and zero.
( (Last - First) / Increment ) + 1
integers
rectangle
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
35. The number doing the dividing is called the
divisor
dividing the numerator and denominator by the same number
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
Equal
36. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
A = (Diagonal1 x Diagonal2) / 2
scalene triangle
change the operation from subtraction to addition
Computation
37. One number is said to be less than (<) another when it is
farther to the left on the number line
mixed number
x/100
A = (D1 x D2) / 2
38. Having the same size and shape
congruent
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Whole
denominator
39. A value such as 5^2 can be called
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40. 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.
greatest common factor (GCF)
Unknown quantities
vertex (vertices - plural)
Homogenous or Heterogenous
41. 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
Absolute and Relative
There are two parts in the procedure for subtracting signed integers:
Inserting a zero at the right end of a whole number
probability
42. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Magnitude at Rest and Magnitude in Motion
acute angle
Reducing: The Brute-Force Method
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
43. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
combination of addition and subtraction
improper fraction
Even
Inserting a zero at the left end of a whole number
44. Rules that tell which steps to follow when solving an expression.
improper fraction
range
cubed
order of operations
45. The formula for the Area of a Rhombus is?
mixed fractions
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
A = (Diagonal1 x Diagonal2) / 2
Number
46. 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
y-coordinate
Step 2 of Converting Improper Fractions to Mixed Numbers
Unit Cost + Markup
2
47. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Fractions allow you to plot values between whole numbers and integers.
axiom
Odd
reduced fraction
48. Species are distinguished into
Axiom VIII.
To add integers that have the same sign (both positive or both negative):
Composite number
Known (Given) and Unknown (Sought)
49. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Different Units
A minus sign ( - ) is used for two entirely different purposes:
square root
Reducing: The Brute-Force Method
50. 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.
Computation
Aliquant Part
radius
inverse