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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. The method for indicating the power of a number
one is positive and the other is negative
Species
Power notation
'six cubed'
2. The greater any number is in comparison to another - the more equal parts will it contain of that other.
pi
Percent Change
To add integers that have the same sign (both positive or both negative):
Axiom IX.
3. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
sample
mixed number
Decimals/Percents
x-coordinate
4. The vertical number line of a coordinate graph
proper fractions
pyramid
y-axis
referred to Unity in the same way
5. Every lesser number is contained in a greater more than once.
Inserting a zero at the left end of a whole number
isosceles triangle
Axiom VIII.
parallel lines
6. Species are distinguished into
Step 1 of Converting Improper Fractions to Mixed Numbers
prism
Known (Given) and Unknown (Sought)
2 and/or 5 only
7. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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8. The absolute value of numbers is indicated by
Axiom X.
enclosing the numbers in a pair of vertical lines | |
referred to Unity in the same way
divisor
9. A number that when multiplied by itself results in the original number
contains only a single number
square root
prime factorization
hexagon
10. A number with only two factors: the number itself and one.
The concept of trading decimal places and how it works
lowercase letters
exponent
prime number
11. The distance around a figure.
perimeter
Aliquot and Aliquant Parts
exactly the same portion
expression
12. Every quantity is equal to itself.
Axiom II.
range
contains only a single number
prime factors
13. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
angle
Odd
Terminating decimal
parallelogram
14. 'y percent less than' = ?
Converting mixed numbers to improper fractions.
farther to the right on the number line.
1 - (y/100)
hexagon
15. Always try to Factor a quadratic equation
multiplier
ratio
x-axis
before solving
16. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
equal to 1 divided by that number with a positive exponent
Subtracting Signed Integers
pyramid
17. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Axiom V.
Reducing fractions
farther to the right on the number line.
simplify
18. 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.
roots of numbers
numerator
exactly the same portion
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
19. A number is increased by 25%... what must you reduce the new number by to get the old number again?
When solving combinations of addition - subtraction - multiplication - and division in the same 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
Number Systems
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
20. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Inequality
Even or Non-Int
Change / Original Formula?
Even
21. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
factor
pi
lowercase Variables
Converting mixed numbers to improper fractions.
22. All whole numbers (both positive and negative) and zero.
Magnitude at Rest and Magnitude in Motion
lowercase Variables
congruent
integers
23. Change + - Original = New
Quantity
Change / Original Formula?
Zero (0)
base
24. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
Step 1 of Converting mixed numbers to improper fractions
Power notation
x-coordinate
prism
25. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
multiplier
Arithmetic - Music - Geometry and Astronomy
The rule for adding negative integers is the same as the rule for adding positive integers:
Homogenous or Heterogenous
26. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
prism
1
Whole Numbers
27. A triangle that has three equal sides and three equal angles
equilateral triangle
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
integer values
they have the same absolute value
28. Any number with an exponent of 1
rate
Magnitude at Rest and Magnitude in Motion
equal to itself.
Even
29. Cross-multiply
A minus sign ( - ) is used for two entirely different purposes:
Even
To find out - easily - if one fraction is bigger than another
1 and itself
30. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom I.
change the operation from subtraction to addition
x = (+-) a
31. A whole number that has only one set of factors - itself and 1.
x-coordinate
prime number
diameter
1
32. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
Relative multitude
To add integers that have opposite signs:
numerator
33. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
Odd
quotient
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
34. A number that is not a prime number is called a
polygon
diameter
octagon
composite number
35. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
Unit Cost + Markup
pi
36. The ratio of a number to 100 (per one hundred); the symbol %
percent
The concept of trading decimal places and how it works
unit ratio
prime factors
37. One of those primes must be the number __ ?
Aliquant Part
A sum of 2 primes is Odd
Greater
squared
38. Whole is equal in Multitude to a Part of the other.
x-coordinate
the Complement of that part to the whole
area
Equal
39. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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40. Profit = ?
Revenue ($) - Cost ($)
putting that number over 1
Unit Cost + Markup
mixed fraction
41. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Quantity
diameter
Number
denominator
42. Surface space that is measured in square units.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
area
Odd
the Complement of that part to the whole
43. Adding integers that have opposite signs means
To add integers that have opposite signs:
one is positive and the other is negative
The concept of trading decimal places and how it works
When the addends have opposite signs one is + and the other is -
44. Is equal to zero. 0 x a = 0
Zero multiplied by any value
scalene triangle
prime number
the same point on the number line
45. A mathematical sentence that uses an equal sign
equation
y-coordinate
quadrilateral
To add integers that have opposite signs:
46. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
putting that number over 1
y-coordinate
2 and/or 5 only
Shift DP 2 places left
47. What is the formula forCounting consecutive multiples?
x/100
Whole Numbers
vertex (vertices - plural)
( (Last - First) / Increment ) + 1
48. By the last letters (u - x - y - etc.)
Percent Change
perimeter
Line Segments
Known quantities
49. Percent Decrease Formula ?
0.625
Original x (1 - x/100) = New
cross product
Equality
50. 5/8 --> Decimal ?
always clear the innermost groups first
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
0.625
Number Systems