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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. Every quantity is equal to itself.
Some integer/Some Power of 10
probability
rate
Axiom II.

2. By the last letters (u - x - y - etc.)
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
Relative multitude
Quantity
Known quantities

3. The process of breaking a number down into its factors is called
Even and Odd
right triangle
When to use the Heavy Division Shortcut - and how to do it
factoring

4. Includes an integer as well as a fractional part
dividend
equilateral triangle
Shift DP 2 places right
mixed fraction

5. A polygon with six sides.
x = (+-) a
Carry the 10's digit of the product to the top of the 10's column of factors.
hexagon
The bottom side of the triangle

6. Percent Decrease Formula ?
integers
Original x (1 - x/100) = New
reduced fraction
dividend

7. Profit = ?
Revenue ($) - Cost ($)
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
circumference
Aliquant Part

8. What is the formula for: The Area of a Triangle ?
rhombus
whether the addends have the same sign or opposite signs
simplify
A = (Base x Height) / 2 - A = (BH)/2

9. A number with only two factors: the number itself and one.
whether the addends have the same sign or opposite signs
To find out - easily - if one fraction is bigger than another
prime number
5/8

10. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
equal to 1
Odd
prime number

11. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Different Units
Adding negative integers will always produce a negative sum
both integers are positive or both are negative
Axiom II.

12. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
equation
Non-Int
reduced fraction

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

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14. Is Always perpendicular (at 90 deg. to) the base!
proper fractions
equal to 1
Parts
The height of a triangle

15. 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
When to use the Heavy Division Shortcut - and how to do it
2 and/or 5 only
mixed fractions
Even - Odd or Non-Int

16. A triangle with one right angle
Same units
To add integers that have the same sign (both positive or both negative):
right triangle
acute angle

17. Adding integers that have the same sign means
Equality
both integers are positive or both are negative
denominator
Reducing fractions

18. Signs of grouping may be nested
before solving
rectangle
cubed
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

19. What is the formula forCounting consecutive multiples?
integer or whole number
Odd
0.625
( (Last - First) / Increment ) + 1

20. The number to be multiplied by is called the
multiplier
0.625
(Last - First + 1)
straight angle

21. A triangle with sides of different lengths and no two angles are the same
denominator
x/100
hexagon
scalene triangle

22. A ratio that shows the cost per unit of measure
unit ratio
median
prism
improper fraction

23. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
divisor
right triangle
probability

24. Surface space that is measured in square units.
area
The concept of trading decimal places and how it works
square unit
To make sure to solve for Both cases.

25. To indicate the addition operation- to indicate a positive integer value
Absolute and Relative
A plus sign (+) is used for two entirely different purposes:
proper fraction
quotient

26. The two kinds of Magnitude are
equal to 1 divided by that number with a positive exponent
Magnitude at Rest and Magnitude in Motion
Reducing fractions
Carry the 10's digit of the product to the top of the 10's column of factors.

27. What are the properties of the diagonals of a Rhombus?
Odd
theorem
Axiom III.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

28. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
right triangle
Odd
right angle
Percent Change

29. The number being divided is called the
Greater
Arithmetic - Music - Geometry and Astronomy
dividend
Even or Non-Int

30. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
percent
mixed fractions
dividend

31. Breaking down a composite number until all of the factors are prime
prime factorization
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.
prism
radius

32. A number that tells how many times the base is multiplied by itself
Any value multiplied by one
exponent
Step 2 of Converting Improper Fractions to Mixed Numbers
The sum of all the integers from 20 to 100 - inclusive

33. One number is said to be greater than (>) another when it is
parallelogram
(Last - First + 1)
axiom
farther to the right on the number line.

34. What is the formula forCounting consecutive integers?
radius
(Last - First + 1)
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
theorem

35. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
Odd
x = (+-) a
y-coordinate
Revenue ($) - Cost ($)

36. Rules that tell which steps to follow when solving an expression.
Always completed first
Aliquot and Aliquant Parts
order of operations
angle

37. The study of quantity
Mathematics
octagon
The Decimal Numbering System
the denominator of the original improper fraction

38. What is the formula forCounting consecutive integers?
improper fractions
When the addends have the same sign both + or both -
(Last - First + 1)
Even

39. Decreasing the Denominator of a fraction Increases/Decreases the value?
Shift DP 2 places left
mixed number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Increases the value.

40. A fraction with all common factors (other than 1) factored out of the numerator and denominator
one is positive and the other is negative
equivalent
lowest terms
dividend

41. A collection of things taken as a Unity. A bushel of wheat is a whole.
Unit Cost + Markup
ratio
To square an equation to solve it
Whole

42. 'y percent less than' = ?
Equal
vertex (vertices - plural)
1 - (y/100)
The bottom side of the triangle

43. Species and Number may be
Homogenous or Heterogenous
farther to the right on the number line.
Percent Change
common factor

44. An angle that measures 180 degrees
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?
quotient
straight angle
Axiom IV.

45. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
multiplicand
The rule for adding negative integers is the same as the rule for adding positive integers:
2
Zero (0)

46. Taken together - the multiplicand and multiplier are known as
Odd
factors of the multiplication operation
mode
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

47. What are the 2 'percent change' equations?
referred to Unity in the same way
complementary angle
A sum of 2 primes is Odd
Original + Change = New Change/Original = Percent Change

48. A combination of numbers and variables connected by one or more operations signs
expression
inverse
equal to 1
Axiom VIII.

49. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
mixed fractions
Multitude
Long Division
Inserting a zero at the left end of a whole number

50. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
lowest terms
x-coordinate
greatest common factor (GCF)