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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. Includes an integer as well as a fractional part
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
exponent
mixed fraction
multiplier

2. The largest single factor for two or more numbers.
Some integer/Some Power of 10
ratio
Known (Given) and Unknown (Sought)
greatest common factor (GCF)

3. The result of dividing one number by another; the solution to a division problem
quotient
Magnitude
x-axis
Axiom III.

4. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
supplementary angles
integer or whole number
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
mode

5. The distance around a figure.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
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
exactly the same portion
perimeter

6. An angle measuring more than zero degrees and less than 90 degrees
absolute value
Relative multitude
acute angle
Carry the 10's digit of the product to the top of the 10's column of factors.

7. The ratio of integers that results in a terminating decimal
probability
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Some integer/Some Power of 10
Change + - Original = New

8. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Odd
numerator
x-coordinate
Step 2 of Converting mixed numbers to improper fractions

9. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
Unknown quantities
commutative law of multiplication
mixed number

10. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Quantity
When to use the Heavy Division Shortcut - and how to do it
quotient
similar figures

11. A polygon with six sides.
factoring
Inserting a zero at the left end of a whole number
hexagon
( (Last - First) / Increment ) + 1

12. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
circumference
Every integer between 1 and X - inclusive - must be a factor of X
they have the same absolute value
To add integers that have the same sign (both positive or both negative):

13. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Change + - Original = New
To make sure to solve for Both cases.
roots of numbers
commutative law of multiplication

14. A triangle with sides of different lengths and no two angles are the same.
1
reduced fraction
The Decimal Numbering System
scalene triangle

15. Is ZERO positive or negative - both - or none?
Both
1 - (y/100)
radius
mode

16. A number with an exponent of 2 is often said to be
sum
absolute value
cubed
squared

17. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
pyramid
perimeter
parallel lines

18. In a division problem - it's the number being divided
dividend
'five squared'
cylinder
Odd

19. The formula for the Area of a Rhombus is?
Multitude
Odd
A = (Diagonal1 x Diagonal2) / 2
acute angle

20. 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.
parallelogram
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
radius
A = (Diagonal1 x Diagonal2) / 2

21. The Only possible factors for a prime number are
1 and itself
Converting Improper Fractions to Mixed Numbers
referred to Unity in the same way
like fractions

22. Adding integers that have opposite signs means
referred to Unity in the same way
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
one is positive and the other is negative
unit ratio

23. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
radius
Decimals/Percents
The bottom side of the triangle
diameter

24. An angle measuing more than 0 degrees and less than 90 degrees
percent
product
simplify
acute angle

25. The sum of a group of numbers divided by the number of numbers; also known as the average
When to use fractions
mean
When you are absolutely sure the variable or expression <> 0
1

26. Rules that tell which steps to follow when solving an expression.
order of operations
proper fraction
Even
Wage Rate ($ per hr) x Hrs worked

27. Having the same size and shape
Sale Price - Unit Cost
When to use the Heavy Division Shortcut - and how to do it
congruent
quotient

28. 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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29. A value such as 6^3 can described as

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30. Species are distinguished into
isosceles triangle
Odd
whether the addends have the same sign or opposite signs
Known (Given) and Unknown (Sought)

31. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
unit ratio
y-axis
mixed number
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?

32. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
y-axis
integers
To add integers that have the same sign both positive or both negative:
Decreases

33. By the last letters (u - x - y - etc.)
median
Revenue ($) - Cost ($)
Axiom V.
Known quantities

34. Every quantity is equal to itself.
Percent Decrease Formula
median
When the addends have opposite signs one is + and the other is -
Axiom II.

35. A fraction with a numerator that is larger than or equal to its denominator.
A = (D1 x D2) / 2
improper fraction
x/100
greatest common factor (GCF)

36. 3 ways to solve an absolute value inequality
prime factorization
integer values
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
they have the same absolute value

37. The terms Species and Number
mean
x-coordinate
roots of numbers
Quantity is expressed

38. Total Sales or Revenue = ?
To convert any fraction to higher terms
The height of a triangle
mixed number
Unit Price x Qty. Sold

39. Always perform the operations
Species
numerator
from left to right
reflection

40. The number doing the dividing is called the
inverse
divisor
Axiom VI.
simplify

41. When the factors of a number are all prime numbers - the factors are said to be the
common denominator
prime factors
multiplicand
quotient

42. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
x/100
To add integers that have the same sign both positive or both negative:
Step 1 of Converting Improper Fractions to Mixed Numbers
Decreases

43. A polygon that has four sides
quadrilateral
Odd
squared
Even or Non-Int

44. The absolute value of numbers is indicated by
Aliquant Part
enclosing the numbers in a pair of vertical lines | |
equivalent
To make sure to solve for Both cases.

45. Sale Price = ?
How the Last Digit Shortcut works
Unit Cost + Markup
Shift DP 2 places right
lowercase letters

46. What is the formula forCounting consecutive multiples?
mixed number
1
( (Last - First) / Increment ) + 1
composite number

47. 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 -
hexagon
Even
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

48. A number is increased by 25%... what must you reduce the new number by to get the old number again?
right triangle
denominator
Unit Price x Qty. Sold
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 purpose of the first step in Changing Integer Subtraction to Integer Addition is to
x-coordinate
Sum of Interior Angles of a Polygon: (n - 2) x 180
change the operation from subtraction to addition
Same units

50. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
ratio
probability
reciprocal
A = (D1 x D2) / 2