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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. Even X Even = ? ... and is div. by ?
lowest terms
Axiom X.
equilateral triangle
Even div. by 4
2. Always perform the operations
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
from left to right
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
the denominator of the original improper fraction
3. When the product in the 1's column is greater than 9
4. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
mode
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.
Odd or Non-Int
Whole Numbers
5. A value such as 6^3 can described as
6. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
integer values
quotient
Is equal to the original value
7. 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.
Reducing: The Brute-Force Method
'five squared'
( (Last - First) / Increment ) + 1
before solving
8. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
More
always clear the innermost groups first
Magnitude
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
9. Reducing fractions is
radius
scalene triangle
congruent
dividing the numerator and denominator by the same number
10. 0 to any power is equal to
'five squared'
Axiom IX.
0
Wage Rate ($ per hr) x Hrs worked
11. The exact procedure for adding signed integers depends upon
whether the addends have the same sign or opposite signs
y-coordinate
farther to the right on the number line.
( (Last - First) / Increment ) + 1
12. A comparison of the two values of two numbers
Axiom VI.
unit ratio
proper fraction
ratio
13. An eight-sided polygon
cylinder
octagon
Original + Change = New Change/Original = Percent Change
Revenue ($) - Cost ($)
14. The sum of a group of numbers divided by the number of numbers; also known as the average
Arithmetic - Music - Geometry and Astronomy
area
polygon
mean
15. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
62.5%
like fractions
prism
difference
16. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Aliquot and Aliquant Parts
composite number
Even
Change + - Original = New
17. A combination of numbers and variables connected by one or more operations signs
Number
factoring
expression
ratio
18. The absolute value of numbers is indicated by
mean
obtuse angle
enclosing the numbers in a pair of vertical lines | |
Decimals/Percents
19. Every lesser number is contained in a greater more than once.
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.
Parts
1
Axiom VIII.
20. Unit Profit = ?
Sale Price - Unit Cost
right angle
Step 2 of Converting mixed numbers to improper fractions
Equality
21. Two numbers are said to be equal (=) when they are at
fraction or broken number
the same point on the number line
equal to 1
The Ratio of Any two of the following: Original - Change and New
22. A whole number that has only one set of factors - itself and 1.
reciprocal
prime number
least common multiple (LCM)
'five squared'
23. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Decreases
quotient
from left to right
Inserting a zero at the right end of a whole number
24. A number with only two factors: the number itself and one.
order of operations
prime number
Odd or Non-Int
1
25. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
polygon
Aliquant Part
diameter
Greater
26. When the factors of a number are all prime numbers - the factors are said to be the
Species
Long Division
prime factors
When the addends have the same sign both + or both -
27. Breaking down a composite number until all of the factors are prime
Change + - Original = New
Is equal to the original value
Some integer/Some Power of 10
prime factorization
28. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Even - Odd or Non-Int
simplify
range
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
29. Cross-multiply
square unit
To find out - easily - if one fraction is bigger than another
lowest terms
hexagon
30. An angle measuring more than zero degrees and less than 90 degrees
'six cubed'
acute angle
area
the same point on the number line
31. The amount that remains after one number has been subtracted from another
Step 1 of Converting mixed numbers to improper fractions
Decimals/Percents
difference
Decreases
32. 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 integ
Non-Int
Subtracting Signed Integers
When the addends have opposite signs one is + and the other is -
Converting Improper Fractions to Mixed Numbers
33. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
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
Aliquot Part
Odd
Step 2 of Converting Improper Fractions to Mixed Numbers
34. The whole is more or greater than its part.
Axiom IV.
parallelogram
prime factorization
numerator
35. What is the formula forCounting consecutive integers?
x-coordinate
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
(Last - First + 1)
greatest common factor (GCF)
36. 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.
Is zero
pyramid
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Mathematics
37. Has no sign value
congruent
Zero (0)
the denominator of the original improper fraction
circumference
38. Is the opposite of raising fractions to higher terms.
Unit Price x Qty. Sold
square root
Both
Reducing fractions
39. 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.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Axiom I.
parallel lines
diameter
40. In a division problem - the number that an amount is divided by
mean
integer or whole number
equivalent
divisor
41. The study of quantity
right triangle
improper fraction
Mathematics
(Last - First + 1)
42. Indicates the number of times the base is to be multiplied
Step 2 of Converting mixed numbers to improper fractions
Unit Cost + Markup
x = (+-) a
exponent
43. The number being multiplied is called the
multiplicand
quadrant
Equality
simplify
44. No integer (except 1) that divides evenly into both the numerator and denominator.
product
lowest terms
reduced fraction
Magnitude
45. A value that combines a whole number and a fractional amount
mixed number
(Last - First + 1)
Aliquant Part
circumference
46. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
47. Rules that tell which steps to follow when solving an expression.
order of operations
Step 1 of Converting Improper Fractions to Mixed Numbers
perimeter
Subtracting Signed Integers
48. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Homogenous or Heterogenous
Odd
supplementary angles
49. One of the four regions formed by the intersection of the axes of a coordinate graph
'six cubed'
A = (Diagonal1 x Diagonal2) / 2
Evaluating Powers With Negative Exponents
quadrant
50. The two kinds of Magnitude are
multiplier
Magnitude at Rest and Magnitude in Motion
parallelogram
median