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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. Signs of grouping may be nested
Fractions allow you to plot values between whole numbers and integers.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
square unit
squared
2. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
square root
hexagon
lowest terms
Evaluating Powers With Negative Exponents
3. Any number with an exponent of 0
Percent Change
Equal
median
equal to 1
4. TotalCost($) = ?
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5. Is the opposite of raising fractions to higher terms.
Homogenous or Heterogenous
Carry the 10's digit of the product to the top of the 10's column of factors.
Reducing fractions
product
6. Two or more fractions that have the same denominator
like fractions
multiplicand
denominator
2
7. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Converting mixed numbers to improper fractions.
mode
Odd
Even
8. The ratio of a number to 100 (per one hundred). The symbol %
62.5%
percent
radius
y-coordinate
9. Every quantity is equal to itself.
A = (D1 x D2) / 2
Axiom II.
product
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
10. Having the same value
A plus sign (+) is used for two entirely different purposes:
UnitPrice ($/unit) x Qty.Purchas'd (units)
equivalent
the denominator of the original improper fraction
11. Are those things collected in a whole.
Computation
composite number
Parts
Axiom VI.
12. The upper number in a fraction is the
mode
numerator
farther to the right on the number line.
right triangle
13. What is the formula forCounting consecutive integers?
perimeter
Arithmetic - Music - Geometry and Astronomy
Homogenous or Heterogenous
(Last - First + 1)
14. Method: convert Decimal to Percent?
pentagon
Shift DP 2 places right
reflection
sum
15. Even X Even = ? ... and is div. by ?
order of operations
scale drawing
the same point on the number line
Even div. by 4
16. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
inverse operations
Multitude
Equal
17. A sign of grouping can be omitted when it
contains only a single number
Inequality
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.
before solving
18. Two angles whose sum is 180 degrees
supplementary angles
Same units
When you are absolutely sure the variable or expression <> 0
the same point on the number line
19. In order to understand and use exponents that are fractions or decimals - you must first know about
Sale Price - Unit Cost
median
y-coordinate
roots of numbers
20. The horizontal number line of a coordinate graph
1
improper fraction
hexagon
x-axis
21. ' x percent' = ?
perimeter
dividing the numerator and denominator by the same number
Whole
x/100
22. 0.625 --> Fraction ?
Axiom II.
parallelogram
5/8
roots of numbers
23. The study of quantity
0.625
Mathematics
Fractions allow you to plot values between whole numbers and integers.
supplementary angles
24. 1 to any power is equal to
Every integer between 1 and X - inclusive - must be a factor of X
lowest terms
To add integers that have opposite signs:
1
25. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
factor
The rule for adding negative integers is the same as the rule for adding positive integers:
Parts
mean
26. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Inequality
Number Systems
A = (D1 x D2) / 2
27. By the last letters (u - x - y - etc.)
Known quantities
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?
acute angle
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
28. Two angles whose sum is 180 degrees
Odd
supplementary angles
Every integer between 1 and X - inclusive - must be a factor of X
Even
29. A triangle with one right angle
pi
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
obtuse angle
right triangle
30. What is the increment of a set of consecutive integers?
Shift DP 2 places left
product
1
quotient
31. Always perform combinations of multiplication and division before
the Complement of that part to the whole
When numbers do not divide evenly
octagon
combination of addition and subtraction
32. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
contains only a single number
Whole Numbers
Greater
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
33. Reversed position or direction
Species
( (Last - First) / Increment ) + 1
factors of the multiplication operation
inverse
34. Is Always perpendicular (at 90 deg. to) the base!
composite number
angle
right triangle
The height of a triangle
35. The method for indicating the power of a number
octagon
congruent
Power notation
Being divided by a power of 10
36. Species and Number may be
quadrilateral
acute angle
Homogenous or Heterogenous
62.5%
37. The two kinds of Magnitude are
supplementary angles
1
Magnitude at Rest and Magnitude in Motion
To find out - easily - if one fraction is bigger than another
38. A number that is a factor of two or more numbers.
Relative multitude
common factor
like fractions
parallelogram
39. 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.
Inserting a zero at the left end of a whole number
The Decimal Numbering System
when there are explicit or implicit equations in the problem:
square unit
40. A triangle with two equal sides and two equal angles
Computation
1
isosceles triangle
Homogenous or Heterogenous
41. The result of the multiplication is called the
y-axis
product
farther to the right on the number line.
mean
42. A whole number that has only one set of factors - itself and 1.
The Ratio of Any two of the following: Original - Change and New
Even
unit ratio
prime number
43. The absolute value of the numerator is smaller than the absolute value of the denominator.
To add integers that have the same sign both positive or both negative:
x = (+-) a
proper fraction
median
44. One number is said to be greater than (>) another when it is
product
dividing the numerator and denominator by the same number
( (Last - First) / Increment ) + 1
farther to the right on the number line.
45. Decreasing the Denominator of a fraction Increases/Decreases the value?
difference
Original + Change = New Change/Original = Percent Change
A = (D1 x D2) / 2
Increases the value.
46. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
from left to right
expression
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
47. What's the reciprocal of v6 - and why?
factoring
There are two parts in the procedure for subtracting signed integers:
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
To square an equation to solve it
48. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
unit ratio
mean
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
49. The four Mathematical arts are:
More
equal to itself.
Original x (1 - x/100) = New
Arithmetic - Music - Geometry and Astronomy
50. Anything that may be increased or diminished
Quantity
farther to the right on the number line.
The sum of all the integers from 20 to 100 - inclusive
integer or whole number