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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
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Power notation
When you are absolutely sure the variable or expression <> 0
parallel lines
2. Rules that tell which steps to follow when solving an expression
order of operations
Percent Change
octagon
Proof
3. The terms Species and Number
5/8
Whole
Quantity is expressed
Axiom I.
4. ' x percent' = ?
prism
The rule for adding negative integers is the same as the rule for adding positive integers:
x/100
quadrilateral
5. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Unit Price x Qty. Sold
vertex (vertices - plural)
integer or whole number
prime factorization
6. One of those primes must be the number __ ?
improper fraction
Computation
When you are absolutely sure the variable or expression <> 0
A sum of 2 primes is Odd
7. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
whether the addends have the same sign or opposite signs
Evaluating Powers With Negative Exponents
Quantity
To add integers that have the same sign (both positive or both negative):
8. The distance around a figure.
obtuse angle
perimeter
simplify
both integers are positive or both are negative
9. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
prime factors
0
Axiom I.
Sum of Interior Angles of a Polygon: (n - 2) x 180
10. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
product
Odd or Non-Int
proper fractions
y-coordinate
11. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
range
Quantity
Is equal to the original value
Step 2 of Converting Improper Fractions to Mixed Numbers
12. The horizontal number line of a coordinate graph
one is positive and the other is negative
equal to 1 divided by that number with a positive exponent
x-axis
There are two parts in the procedure for subtracting signed integers:
13. Indicates the number to be multiplied
Evaluating Powers With Negative Exponents
UnitPrice ($/unit) x Qty.Purchas'd (units)
base
quadrant
14. What are the 3 main formulaic properties of evenly-spaced sets?
Carry the 10's digit of the product to the top of the 10's column of factors.
difference
always clear the innermost groups first
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
15. A comparison of the two values of two numbers
denominator
supplementary angles
roots of numbers
ratio
16. A Polygon is a closed shape formed by
diameter
Revenue ($) - Cost ($)
mixed number
Line Segments
17. Even X Even = ? ... and is div. by ?
Step 2 of Converting Improper Fractions to Mixed Numbers
Even div. by 4
(Last - First + 1)
Non-Int
18. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Line Segments
factor
Greater
proper fraction
19. One number is said to be less than (<) another when it is
x-coordinate
farther to the left on the number line
theorem
Magnitude
20. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
circumference
the Complement of that part to the whole
ratio
Converting Improper Fractions to Mixed Numbers
21. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
reflection
perimeter
congruent
Adding negative integers will always produce a negative sum
22. The process of breaking a number down into its factors is called
Quantity is expressed
Sale Price - Unit Cost
Odd
factoring
23. A triangle with sides of different lengths and no two angles are the same
expression
scalene triangle
denominator
right triangle
24. Decreasing the Denominator of a fraction Increases/Decreases the value?
Even or Non-Int
Increases the value.
Number
Inserting a zero at the right end of a whole number
25. The amount that remains after one number has been subtracted from another
exponent
difference
Sale Price - Unit Cost
commutative law of multiplication
26. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
quotient
acute angle
Reducing by the Largest Common Factor (LCF)
27. To make a fraction easier to work with by taking out common factors
Wage Rate ($ per hr) x Hrs worked
simplify
Unity - or a Unit
improper fraction
28. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Unit Price x Qty. Sold
Magnitude
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
29. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
Percent Decrease Formula
More
Adding negative integers will always produce a negative sum
30. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Converting mixed numbers to improper fractions.
Odd
Number
Step 1 of Converting mixed numbers to improper fractions
31. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
simplify
square unit
32. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Even or Non-Int
Long Division
theorem
Aliquant Part
33. By the first letters of the alphabet (a - b - c - d - etc..)
Inserting a zero at the left end of a whole number
Unknown quantities
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
acute angle
34. Always perform the operations
pi
from left to right
x-axis
Axiom X.
35. The number doing the dividing is called the
lowest terms
square root
inverse operations
divisor
36. A number that when multiplied by itself results in the original number
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
square root
referred to the same Unit
reciprocal
37. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Odd or Non-Int
improper fraction
exponent
When the addends have the same sign both + or both -
38. Method: convert Decimal to Percent?
Shift DP 2 places right
Multitudes and Magnitudes
Axiom VII.
The Decimal Numbering System
39. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
hexagon
The Ratio of Any two of the following: Original - Change and New
Number
( (Last - First) / Increment ) + 1
40. Profit = ?
Revenue ($) - Cost ($)
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Reducing by the Largest Common Factor (LCF)
factor
41. An evenly-spaced set is fully-defined if what is known...?
0
To square an equation to solve it
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
proper fraction
42. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
(Last - First + 1)
polygon
median
43. The vertical number line of a coordinate graph
polygon
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
similar figures
y-axis
44. Two numbers are said to be equal (=) when they are at
probability
Non-Int
the same point on the number line
perimeter
45. A polygon that has four sides
Odd
straight angle
quadrilateral
product
46. Breaking down a composite number until all of the factors are prime
prime factorization
scale drawing
Even
The height of a triangle
47. Operations enclosed in a sign of grouping
2
Always completed first
Magnitude at Rest and Magnitude in Motion
complementary angles
48. The Only possible factors for a prime number are
lowercase letters
Reducing by the Largest Common Factor (LCF)
1 and itself
Greater
49. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
dividend
1
prism
50. The study of quantity
Mathematics
radius
Equality
mixed number