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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. When working with nested signs of grouping
sum
Wage Rate ($ per hr) x Hrs worked
always clear the innermost groups first
Decreases

2. Indicates the number of times the base is to be multiplied
Equal
Quantity
exponent
multiplier

3. Includes an integer as well as a fractional part
Adding negative integers will always produce a negative sum
mixed number
Power notation
vertex (vertices - plural)

4. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
percent
mode
always clear the innermost groups first
Even

5. 0 to any power is equal to
Even
Different Units
0
dividing the numerator and denominator by the same number

6. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
composite number
Number
polygon
Same units

7. The study of quantity
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
Mathematics
Arithmetic - Music - Geometry and Astronomy
Odd

8. 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.
y-axis
A = (Diagonal1 x Diagonal2) / 2
vertex (vertices - plural)
higher terms

9. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
pi
exponent
x-coordinate
mixed fractions

10. The four Mathematical arts are:
Sale Price - Unit Cost
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
Axiom III.
Arithmetic - Music - Geometry and Astronomy

11. Change / Original Formula
composite number
When you are absolutely sure the variable or expression <> 0
Sale Price - Unit Cost
Change + - Original = New

12. What is the perimeter of a Polygon?
Even
axiom
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
right triangle

13. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Revenue ($) - Cost ($)
numerator
lowest terms
dividend

14. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
acute angle
Species
cross product
2

15. Species are distinguished into
divisor
Axiom IX.
Change + - Original = New
Known (Given) and Unknown (Sought)

16. When the product in the 1's column is greater than 9

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17. The two kinds of parts
the denominator of the original improper fraction
cylinder
Is equal to the original value
Aliquot and Aliquant Parts

18. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
acute angle
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
( (Last - First) / Increment ) + 1
Even - Odd or Non-Int

19. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
farther to the right on the number line.
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
Shift DP 2 places right

20. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Axiom IX.
both integers are positive or both are negative
There are two parts in the procedure for subtracting signed integers:
Magnitude

21. What is the only Even prime number?
2
diameter
Increases the value.
factors of the multiplication operation

22. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
To make sure to solve for Both cases.
1
Aliquot Part
When to use the Heavy Division Shortcut - and how to do it

23. Every quantity is equal to itself.
Axiom II.
radius
reciprocal
Axiom V.

24. A parallelogram with four right angles
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
Multitude
Zero (0)
rectangle

25. Reversed position or direction
change the operation from subtraction to addition
they have the same absolute value
inverse
Even

26. A combination of numbers and variables connected by one or more operations signs
cubed
ratio
expression
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

27. The result of the multiplication is called the
Magnitude
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
product
Relative multitude

28. Signs of grouping may be nested
lowercase letters
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
diameter
mixed fractions

29. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
they have the same absolute value
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.
product

30. Every number is contained in itself once.
Axiom VII.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
scale drawing
numerator

31. The distance around a figure.
perimeter
enclosing the numbers in a pair of vertical lines | |
Reducing: The Brute-Force Method
integers

32. Things are Equal in Magnitude when they are
combination of addition and subtraction
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.
referred to the same Unit
polygon

33. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
rate
polygon
divisor

34. The numerator is smaller than 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.
diameter
proper fraction
Is zero

35. 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').
The Ratio of Any two of the following: Original - Change and New
quotient
Whole Numbers
Axiom VII.

36. Original x (1 - x/100) = New
integers
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.
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.
Percent Decrease Formula

37. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Inequality
proportion
Multitude
proper fraction

38. A unit for measuring area
mixed number
the same point on the number line
square unit
Change / Original Formula?

39. A quadrilateral with one pair of parallel sides
they have the same absolute value
Converting mixed numbers to improper fractions.
trapezoid
octagon

40. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
factors of the multiplication operation
'five squared'
prism
quotient

41. An angle measuring more than 90 degrees and less than 180 degrees
Axiom IX.
equal to itself.
obtuse angle
How the Last Digit Shortcut works

42. Has no sign value
equal to 1
complementary angle
Zero (0)
1

43. The horizontal number line of a coordinate graph
difference
reflection
When the addends have the same sign both + or both -
x-axis

44. Can have many different combinations of factors
Shift DP 2 places right
Reducing: The Brute-Force Method
Composite number
Unit Price x Qty. Sold

45. The two kinds of Multitude
Absolute and Relative
order of operations
lowest terms
right angle

46. A number that when multiplied by itself results in the original number
The bottom side of the triangle
square root
prime factors
always clear the innermost groups first

47. Always perform the operations
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
divisor
from left to right
before solving

48. Total Earnings ($) = ?
rectangle
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
area
Wage Rate ($ per hr) x Hrs worked

49. The upper number in a fraction is the
Change / Original Formula?
Greater
numerator
The rule for adding negative integers is the same as the rule for adding positive integers:

50. The Only possible factors for a prime number are
Species
To convert any fraction to higher terms
1 and itself
prime factorization

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CLEP General Mathematics: Arithmetic Basics

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