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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. When will a decimal Not terminate and why?
Zero (0)
quotient
multiplicand
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

2. The numerator is smaller than the denominator
proper fraction
product
Being divided by a power of 10
product

3. The terms Species and Number
Shift DP 2 places right
Quantity is expressed
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
perimeter

4. A whole number can be expressed as an improper fraction by
higher terms
Negative-value integers
putting that number over 1
Odd

5. The absolute value of the numerator is smaller than the absolute value of the denominator.
'five squared'
quotient
proper fraction
Inserting a zero at the left end of a whole number

6. Method: convert Decimal to Percent?
62.5%
To find out - easily - if one fraction is bigger than another
Shift DP 2 places right
octagon

7. 3 ways to solve an absolute value inequality
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
Is zero
y-axis
Line Segments

8. Odd / Even = ? e.g. 9/6 = 1.5
62.5%
Non-Int
lowercase letters
unit ratio

9. All the positive whole numbers
integer values
Even
proportion
The Ratio of Any two of the following: Original - Change and New

10. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
lowest terms
To add integers that have the same sign (both positive or both negative):
To make sure to solve for Both cases.
Axiom II.

11. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
mixed number
mixed fractions
acute angle

12. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
greatest common factor (GCF)
Original + Change = New Change/Original = Percent Change
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.
0.625

13. Reducing fractions is
dividing the numerator and denominator by the same number
When the addends have the same sign both + or both -
pi
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

14. A triangle with sides of different lengths and no two angles are the same
x = (+-) a
When you are absolutely sure the variable or expression <> 0
putting that number over 1
scalene triangle

15. The sum of a group of numbers divided by the number of numbers. Also known as the average.
similar figures
vertex (vertices - plural)
y-axis
mean

16. Adding integers that have the same sign means
both integers are positive or both are negative
angle
Revenue ($) - Cost ($)
Fractions allow you to plot values between whole numbers and integers.

17. A number that tells how many times the base is multiplied by itself
x-axis
mode
exponent
Odd or Non-Int

18. One of the four regions formed by the intersection of the axes of a coordinate graph
Quantity
enclosing the numbers in a pair of vertical lines | |
integers
quadrant

19. A mirror image of a figure shown over a line of reflection
reflection
The sum of all the integers from 20 to 100 - inclusive
Odd
numerator

20. A fraction with all common factors (other than 1) factored out of the numerator and denominator
5/8
improper fraction
lowest terms
A = (D1 x D2) / 2

21. The difference between the least and greatest values in a set of numbers.
diameter
dividend
range
combination of addition and subtraction

22. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Subtracting Signed Integers
before solving
Homogenous or Heterogenous
integer values

23. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Unit Cost + Markup
improper fractions
y-coordinate
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?

24. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
mixed number
prime number
quotient
numerator

25. Two angles whose sum is 180 degrees
Converting mixed numbers to improper fractions.
Decreases
supplementary angles
whether the addends have the same sign or opposite signs

26. Whole is equal in Multitude to a Part of the other.
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
percent
whether the addends have the same sign or opposite signs
Equal

27. Decreasing the Denominator of a fraction Increases/Decreases the value?
Axiom III.
Increases the value.
quotient
More

28. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Odd
Step 1 of Converting mixed numbers to improper fractions
More
polygon

29. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Same units
probability
Subtracting Signed Integers
prime number

30. In a group of values - the value that occurs most often
scalene triangle
Magnitude
mode
62.5%

31. Everything may be assumed as unity.
When to use the Heavy Division Shortcut - and how to do it
Axiom I.
Line Segments
difference

32. The method for indicating the power of a number
Power notation
2
parallel lines
Sum of Interior Angles of a Polygon: (n - 2) x 180

33. ' x percent' = ?
order of operations
percent
scalene triangle
x/100

34. Breaking down a composite number until all of the factors are prime
prime factorization
Equality
Aliquot and Aliquant Parts
To add integers that have opposite signs:

35. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
Even
polygon
Proof

36. The figure formed when two rays meet at a common endpoint called a vertex.
angle
Arithmetic - Music - Geometry and Astronomy
dividend
Sum of Interior Angles of a Polygon: (n - 2) x 180

37. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
When the addends have opposite signs one is + and the other is -
change the operation from subtraction to addition
Wage Rate ($ per hr) x Hrs worked
theorem

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

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39. Lines in the same plane that do not intersect. The symbol //
Every integer between 1 and X - inclusive - must be a factor of X
Zero (0)
Converting mixed numbers to improper fractions.
parallel lines

40. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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41. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
1
quotient
To find out - easily - if one fraction is bigger than another
Even

42. Having the same value
radius
Equal
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
equivalent

43. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
( (Last - First) / Increment ) + 1
composite number
difference
equation

44. Reversed position or direction
inverse
product
right triangle
Original + Change = New Change/Original = Percent Change

45. 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
denominator
Always completed first
radius
When to use the Heavy Division Shortcut - and how to do it

46. A collection of things taken as a Unity. A bushel of wheat is a whole.
obtuse angle
proper fraction
exactly the same portion
Whole

47. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
dividend
equal to 1 divided by that number with a positive exponent
radius

48. The number being multiplied is called the
congruent
multiplicand
UnitPrice ($/unit) x Qty.Purchas'd (units)
quotient

49. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
x = (+-) a
There are two parts in the procedure for subtracting signed integers:
mixed number
Negative-value integers

50. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
Reducing by the Largest Common Factor (LCF)
Multitudes and Magnitudes
congruent