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CLEP General Mathematics: Arithmetic Basics

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. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
always clear the innermost groups first
When to use the Heavy Division Shortcut - and how to do it
Greater
Axiom VIII.

2. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
inverse operations
area
simplify
Sum of Interior Angles of a Polygon: (n - 2) x 180

3. The ratio of a number to 100 (per one hundred). The symbol %
Number
Negative-value integers
1 and itself
percent

4. A parallelogram with all sides equal and congruent
rhombus
Inserting a zero at the right end of a whole number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
median

5. Profit = ?
When to use the Heavy Division Shortcut - and how to do it
Evaluating Powers With Negative Exponents
Revenue ($) - Cost ($)
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

6. The study of quantity
Mathematics
proportion
prime number
Shift DP 2 places right

7. What's the reciprocal of v6 - and why?
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.
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
Increases the value.
Arithmetic - Music - Geometry and Astronomy

8. The base of a triangle refers to?
equal to 1
( (Last - First) / Increment ) + 1
Whole
The bottom side of the triangle

9. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
integer or whole number
Reducing: The Brute-Force Method
More

10. What is the only Even prime number?
1
2
ratio
mixed number

11. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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12. Any number with an exponent of 1
equal to itself.
median
dividend
( (Last - First) / Increment ) + 1

13. Indicates the number of times the base is to be multiplied
Unknown quantities
Whole
exponent
Shift DP 2 places left

14. The action of the mind whereby a quantity is measured by Unity or a Unit.
quotient
square root
product
Computation

15. When are you allowed to divide by a variable - (or Any expression) ?
difference
When you are absolutely sure the variable or expression <> 0
Being divided by a power of 10
proper fraction

16. Method: convert Percent to Decimal?
improper fraction
prism
mixed number
Shift DP 2 places left

17. Total Sales or Revenue = ?
Parts
Aliquot Part
change the operation from subtraction to addition
Unit Price x Qty. Sold

18. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
inverse operations
When the addends have opposite signs one is + and the other is -
the same point on the number line
denominator

19. Always try to Factor a quadratic equation
square unit
the same point on the number line
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
before solving

20. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Original x (1 - x/100) = New
To square an equation to solve it
y-coordinate
common denominator

21. Even X Even = ? ... and is div. by ?
quadrant
radius
Even div. by 4
lowest terms

22. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
To square an equation to solve it
More
Absolute and Relative
Line Segments

23. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
numerator
How the Last Digit Shortcut works
Even
Unit Price x Qty. Sold

24. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
Increases the value.
Even and Odd
acute angle

25. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
isosceles triangle
x = (+-) a
Axiom X.

26. The upper number in a fraction is the
Wage Rate ($ per hr) x Hrs worked
Revenue ($) - Cost ($)
One... the number 2
numerator

27. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
proportion
exponent
range

28. What are the 3 main formulaic properties of evenly-spaced sets?
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
perimeter
right angle
Step 2 of Converting Improper Fractions to Mixed Numbers

29. Change / Original Formula
Wage Rate ($ per hr) x Hrs worked
Change + - Original = New
percent
pyramid

30. 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.
Same units
hexagon
Aliquant Part
Inserting a zero at the left end of a whole number

31. Sale Price = ?
5/8
To make sure to solve for Both cases.
octagon
Unit Cost + Markup

32. A solid figure that has triangles for its sides and a polygon as its base
pyramid
Step 2 of Converting Improper Fractions to Mixed Numbers
When you are absolutely sure the variable or expression <> 0
The rule for adding negative integers is the same as the rule for adding positive integers:

33. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
square root
Equal
Inequality

34. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Magnitude at Rest and Magnitude in Motion
exponent
x = (+-) a
Odd

35. A polygon with five sides
product
Even
pentagon
Magnitude at Rest and Magnitude in Motion

36. 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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37. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Evaluating Powers With Negative Exponents
x-coordinate
To square an equation to solve it
farther to the left on the number line

38. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
pyramid
When to use the Heavy Division Shortcut - and how to do it
Evaluating Powers With Negative Exponents
exactly the same portion

39. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
contains only a single number
when there are explicit or implicit equations in the problem:
probability
proper fraction

40. Operations enclosed in a sign of grouping
Always completed first
equation
parallelogram
equivalent

41. The process of breaking a number down into its factors is called
mixed number
Equality
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
factoring

42. The absolute value of numbers is indicated by
Species
Decimals/Percents
The concept of trading decimal places and how it works
enclosing the numbers in a pair of vertical lines | |

43. Factors may be multiplied in any order.
Original + Change = New Change/Original = Percent Change
quotient
Reducing fractions
commutative law of multiplication

44. 1 to any power is equal to
probability
like fractions
Even
1

45. The ratio of a number to 100 (per one hundred); the symbol %
percent
Step 2 of Converting Improper Fractions to Mixed Numbers
polygon
Multitudes and Magnitudes

46. Change + - Original = New
Arithmetic - Music - Geometry and Astronomy
Change / Original Formula?
When the addends have opposite signs one is + and the other is -
To square an equation to solve it

47. Things are Equal in Multitude when they are
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
0
referred to Unity in the same way
Arithmetic - Music - Geometry and Astronomy

48. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Aliquant Part
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Step 2 of Converting mixed numbers to improper fractions
Decreases

49. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Arithmetic - Music - Geometry and Astronomy
y-coordinate
area
Known quantities

50. .625 --> Percent?
perimeter
proportion
62.5%
proper fraction