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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. A known quantity we refer to as One.
Unity - or a Unit
Number Systems
rectangle
1
2. A number that is not a prime number is called a
composite number
0
y-axis
prime number
3. Change / Original Formula
equation
farther to the left on the number line
multiplier
Change + - Original = New
4. Has no sign value
Zero (0)
prime factorization
Is equal to the original value
Always completed first
5. Things are Equal in Multitude when they are
referred to Unity in the same way
Evaluating Powers With Negative Exponents
Change + - Original = New
order of operations
6. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
product
probability
prism
absolute value
7. A whole number that has only one set of factors - itself and 1.
prime number
least common multiple (LCM)
Different Units
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
8. What are the properties of the diagonals of a Rhombus?
straight angle
When the addends have the same sign both + or both -
Axiom X.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
9. Any number with an exponent of 0
radius
equal to 1
proper fractions
Original x (1 - x/100) = New
10. The horizontal number line of a coordinate graph
x-axis
scalene triangle
lowest terms
Line Segments
11. The process of breaking a number down into its factors is called
quadrilateral
Multitude
The Decimal Numbering System
factoring
12. An eight-sided polygon
mode
Axiom IV.
octagon
Different Units
13. Two angles whose sum is 180 degrees
Change + - Original = New
Even
supplementary angles
Some integer/Some Power of 10
14. Taken together - the multiplicand and multiplier are known as
Step 2 of Converting mixed numbers to improper fractions
unit ratio
factors of the multiplication operation
'five squared'
15. Profit = ?
Revenue ($) - Cost ($)
area
Computation
Decimals/Percents
16. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
factoring
parallelogram
when there are explicit or implicit equations in the problem:
17. A fraction with all common factors (other than 1) factored out of the numerator and denominator
median
lowest terms
equal to 1
Zero multiplied by any value
18. Any whole number can be expressed in terms of the
product
Quantity
5/8
Unit Cost + Markup
19. The exact procedure for adding signed integers depends upon
hexagon
Even
whether the addends have the same sign or opposite signs
Subtracting Signed Integers
20. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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21. The lower number in a fraction is the
denominator
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.
integer values
integers
22. Is Always perpendicular (at 90 deg. to) the base!
Known quantities
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
The height of a triangle
probability
23. Multiply both the numerator and denominator by the same integer value.
lowercase letters
x/100
To convert any fraction to higher terms
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
24. The absolute value of the numerator is smaller than the absolute value of the denominator.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
proper fraction
multiplier
mode
25. The upper number in a fraction is the
numerator
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
squared
multiplier
26. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
change the operation from subtraction to addition
acute angle
divisor
27. What is the formula forCounting consecutive multiples?
rectangle
( (Last - First) / Increment ) + 1
Reducing fractions
1 - (y/100)
28. What is the formula forCounting consecutive integers?
cylinder
x-coordinate
(Last - First + 1)
when there are explicit or implicit equations in the problem:
29. An equation stating that two ratios are equal
How the Last Digit Shortcut works
The Decimal Numbering System
Every integer between 1 and X - inclusive - must be a factor of X
proportion
30. What are the only prime factors that a fraction resulting in a terminating decimals have?
enclosing the numbers in a pair of vertical lines | |
diameter
2 and/or 5 only
integer or whole number
31. By the first letters of the alphabet (a - b - c - d - etc..)
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
inverse
congruent
Unknown quantities
32. Rules that tell which steps to follow when solving an expression.
mean
proportion
order of operations
Odd
33. Species are distinguished into
Magnitude at Rest and Magnitude in Motion
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Known (Given) and Unknown (Sought)
( (Last - First) / Increment ) + 1
34. The distance around a circle (the perimeter of a circle).
(Last - First + 1)
circumference
before solving
factoring
35. A statement that needs to be demonstrated and is called in Latin demonstrandum.
mixed number
Greater
theorem
circumference
36. A number with only two factors: the number itself and one.
they have the same absolute value
fraction or broken number
prime number
equal to 1
37. What are the 3 main formulaic properties of evenly-spaced sets?
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. 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
Multitudes and Magnitudes
proper fraction
38. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
1
cross product
theorem
39. The numerator of the fraction part of the mixed number is the remainder from the
numerator
theorem
Original x (1 - x/100) = New
quotient
40. A ratio that compares two different types of quantities
product
rate
x/100
Even - Odd or Non-Int
41. Reversed position or direction
mixed fraction
To find out - easily - if one fraction is bigger than another
equal to 1
inverse
42. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Odd
Some integer/Some Power of 10
To make sure to solve for Both cases.
denominator
43. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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44. Surface space that is measured in square units
divisor
2
area
exactly the same portion
45. Indicates the number to be multiplied
1 - (y/100)
rectangle
base
unit ratio
46. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
both integers are positive or both are negative
x-coordinate
Positive-value integers
scale drawing
47. What is the formula for: The Area of a Triangle ?
reflection
Axiom IX.
product
A = (Base x Height) / 2 - A = (BH)/2
48. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
To convert any fraction to higher terms
cross product
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
change the operation from subtraction to addition
49. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
denominator
Decreases
lowercase letters
mixed fractions
50. 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
radius
exactly the same portion
polygon
There are two parts in the procedure for subtracting signed integers: