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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. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
(Last - First + 1)
Composite number
cross product
Revenue ($) - Cost ($)
2. No integer (except 1) that divides evenly into both the numerator and denominator.
Equality
reduced fraction
The Ratio of Any two of the following: Original - Change and New
median
3. The whole-number system uses only ten characters -0 through 9.
referred to the same Unit
Some integer/Some Power of 10
The Decimal Numbering System
before solving
4. Always try to Factor a quadratic equation
x/100
pentagon
before solving
Line Segments
5. An angle that measures 180 degrees
straight angle
integers
greatest common factor (GCF)
Even
6. Is equal to zero. 0 x a = 0
Decreases
Negative-value integers
greatest common factor (GCF)
Zero multiplied by any value
7. A number that tells how many times the base is multiplied by itself
exponent
the same point on the number line
1
prime factorization
8. Reversed position or direction
2 and/or 5 only
Even or Non-Int
percent
inverse
9. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
lowercase letters
0.625
The Decimal Numbering System
exactly the same portion
10. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Positive-value integers
A minus sign ( - ) is used for two entirely different purposes:
quotient
x-coordinate
11. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
exponent
product
integer values
12. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
right angle
Reducing by the Largest Common Factor (LCF)
denominator
13. What is the formula forCounting consecutive integers?
(Last - First + 1)
product
lowest terms
Known (Given) and Unknown (Sought)
14. Includes an integer as well as a fractional part
parallel lines
1
mixed fraction
Axiom VIII.
15. The two kinds of Multitude
parallelogram
sample
y-axis
Absolute and Relative
16. Having the same value
equivalent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
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
y-axis
17. A quadrilateral with two pairs of congruent - parallel sides
polygon
parallelogram
Axiom IV.
improper fractions
18. Any value divided by one
Is equal to the original value
Zero (0)
before solving
Aliquot and Aliquant Parts
19. The numerator is greater than - or equal to - the denominator
Unit Cost + Markup
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Any value multiplied by one
improper fraction
20. The ratio of a number to 100 (per one hundred); the symbol %
percent
Power notation
Alternative to the algebraic manipulation method to solving a VIC
Arithmetic - Music - Geometry and Astronomy
21. Change + - Original = New
scale drawing
before solving
isosceles triangle
Change / Original Formula?
22. What are the 3 main formulaic properties of evenly-spaced sets?
complementary angle
Species
1
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
23. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
proper fraction
lowest terms
inverse operations
trapezoid
24. Adding integers that have opposite signs means
dividend
Odd or Non-Int
one is positive and the other is negative
Odd
25. When the product in the 1's column is greater than 9
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26. Every number is contained in itself once.
Axiom VII.
0.625
ordered pair
Axiom II.
27. The exact procedure for adding signed integers depends upon
A = (Diagonal1 x Diagonal2) / 2
whether the addends have the same sign or opposite signs
simplify
pentagon
28. The result of muliplying two or more numbers
Number Systems
Even
product
A = (Base x Height) / 2 - A = (BH)/2
29. The Only possible factors for a prime number are
1 and itself
numerator
Wage Rate ($ per hr) x Hrs worked
Even
30. Operations enclosed in a sign of grouping
Always completed first
Sum of Interior Angles of a Polygon: (n - 2) x 180
To add integers that have opposite signs:
To square an equation to solve it
31. A ratio that compares two different types of quantities
parallelogram
Equality
rate
inverse
32. A mathematical sentence that uses an equal sign
composite number
trapezoid
mixed number
equation
33. The two kinds of parts
quadrilateral
ratio
Aliquot and Aliquant Parts
( (Last - First) / Increment ) + 1
34. Two angles whose sum is 180 degrees
Reducing fractions
the denominator of the original improper fraction
reflection
supplementary angles
35. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
absolute value
inverse
One... the number 2
36. 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').
Odd
Whole Numbers
exponent
Original + Change = New Change/Original = Percent Change
37. A number that is not a prime number is called a
composite number
Quantity
equilateral triangle
cross product
38. The result of dividing one number by another; the solution to a division problem
quotient
Shift DP 2 places right
Sum of Interior Angles of a Polygon: (n - 2) x 180
Odd
39. Method: convert Percent to Decimal?
Number
squared
Axiom IX.
Shift DP 2 places left
40. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
higher terms
reflection
When to use fractions
A = (Base x Height) / 2 - A = (BH)/2
41. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
62.5%
Species
prime number
higher terms
42. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
sample
Even
Equality
the Complement of that part to the whole
43. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
order of operations
Odd or Non-Int
A = (Base x Height) / 2 - A = (BH)/2
Different Units
44. 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.
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.
quotient
vertex (vertices - plural)
rectangle
45. Two angles whose sum equals 90 degrees.
Even
Converting Improper Fractions to Mixed Numbers
Axiom IX.
complementary angles
46. A mirror image of a figure shown over a line of reflection
When you are absolutely sure the variable or expression <> 0
quadrant
reflection
'six cubed'
47. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
UnitPrice ($/unit) x Qty.Purchas'd (units)
Non-Int
improper fraction
48. In a group of values - the value that occurs most often
scalene triangle
difference
mode
Axiom VI.
49. 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.
To add integers that have opposite signs:
composite number
x-coordinate
putting that number over 1
50. Taken together - the multiplicand and multiplier are known as
Equal
factors of the multiplication operation
( (Last - First) / Increment ) + 1
Odd