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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. The lower number in a fraction is the
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
reflection
unit ratio
denominator

2. Reversed position or direction
scalene triangle
inverse
reciprocal
y-axis

3. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
the same point on the number line
percent
To convert any fraction to higher terms

4. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
Axiom I.
Multitudes and Magnitudes
prism
composite number

5. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Unit Price x Qty. Sold
range
Zero (0)

6. No integer (except 1) that divides evenly into both the numerator and denominator.
rectangle
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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
reduced fraction

7. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
Decimals/Percents
mode
Unit Cost + Markup

8. A mirror image of a figure shown over a line of reflection
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
cubed
reflection
dividend

9. The whole is equal to all of its parts taken together.
Axiom V.
common factor
To square an equation to solve it
Non-Int

10. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
62.5%
Always completed first
Decreases
Aliquot Part

11. 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.
proper fractions
Aliquant Part
pentagon
Mathematics

12. What is the formula forCounting consecutive integers?
Odd
Species
equation
(Last - First + 1)

13. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
scalene triangle
exponent
Change / Original Formula?

14. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
vertex (vertices - plural)
To add integers that have opposite signs:
Original x (1 - x/100) = New

15. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Mathematics
Inserting a zero at the right end of a whole number
Species

16. Original x (1 - x/100) = New
parallelogram
Percent Decrease Formula
axiom
'six cubed'

17. Any number with an exponent of 0
before solving
Revenue ($) - Cost ($)
To make sure to solve for Both cases.
equal to 1

18. 'y percent less than' = ?
1
1 - (y/100)
Carry the 10's digit of the product to the top of the 10's column of factors.
scale drawing

19. Factors may be multiplied in any order.
range
commutative law of multiplication
Some integer/Some Power of 10
quotient

20. A number that is a factor of two or more numbers.
mode
Reducing: The Brute-Force Method
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
common factor

21. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
greatest common factor (GCF)
x = (+-) a
The rule for adding negative integers is the same as the rule for adding positive integers:
equilateral triangle

22. The difference between the least and greatest values in a set of numbers.
range
radius
integers
Adding negative integers will always produce a negative sum

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

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24. A triangle with sides of different lengths and no two angles are the same
Sale Price - Unit Cost
Terminating decimal
scalene triangle
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

25. Species and Number may be
integer or whole number
Number
Homogenous or Heterogenous
Original + Change = New Change/Original = Percent Change

26. The distance around a circle (the perimeter of a circle)
Unit Price x Qty. Sold
circumference
Unity - or a Unit
proper fraction

27. A triangle with one right angle
denominator
right triangle
0
Reducing: The Brute-Force Method

28. 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.
Both
higher terms
2^3 = 8
Axiom X.

29. Any whole number can be expressed in terms of the
quadrilateral
prime factors
Arithmetic - Music - Geometry and Astronomy
product

30. The number being divided is called the
dividend
numerator
Odd
The Decimal Numbering System

31. TotalCost($) = ?

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32. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Homogenous or Heterogenous
circumference
equation

33. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
perimeter
1 - (y/100)
Even
exponent

34. 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 intege
supplementary angles
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
cubed
There are two parts in the procedure for subtracting signed integers:

35. 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
prime number
lowest terms
equal to itself.

36. 3/2 - 8/3 - -16/5 - 7/7
they have the same absolute value
roots of numbers
improper fractions
Greater

37. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
reflection
trapezoid
product
probability

38. Every lesser number is contained in a greater more than once.
Magnitude at Rest and Magnitude in Motion
Quantity
Axiom VIII.
Some integer/Some Power of 10

39. The base of a triangle refers to?
The bottom side of the triangle
Odd
x-coordinate
vertex (vertices - plural)

40. 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.
Negative-value integers
Axiom VIII.
Increases the value.
The concept of trading decimal places and how it works

41. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
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
mixed fraction
Positive-value integers
integer or whole number

42. In a division problem - it's the number being divided
Converting Improper Fractions to Mixed Numbers
Odd
equivalent
dividend

43. A solid figure with two congruent and parallel circular bases
dividing the numerator and denominator by the same number
To convert any fraction to higher terms
exponent
cylinder

44. A ratio that compares two different types of quantities
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.
rate
Odd
Reducing fractions

45. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
percent
proper fractions
When the addends have opposite signs one is + and the other is -
expression

46. A polygon with six sides.
mixed fraction
putting that number over 1
hexagon
multiplier

47. The two kinds of Quantity are
Multitudes and Magnitudes
How the Last Digit Shortcut works
mixed number
composite number

48. Total Sales or Revenue = ?
Unit Cost + Markup
To find out - easily - if one fraction is bigger than another
like fractions
Unit Price x Qty. Sold

49. Indicates the number to be multiplied
base
To square an equation to solve it
Arithmetic - Music - Geometry and Astronomy
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

50. An eight-sided polygon
octagon
the same point on the number line
probability
square unit