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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.
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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 Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
When numbers do not divide evenly
least common multiple (LCM)
Magnitude
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

2. 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
Unknown quantities
Computation
x = (+-) a

3. Lines in the same plane that do not intersect. The symbol //
parallel lines
rectangle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
sum

4. A triangle with sides of different lengths and no two angles are the same
Proof
pyramid
scalene triangle
quadrilateral

5. No integer (except 1) that divides evenly into both the numerator and denominator.
A = (Base x Height) / 2 - A = (BH)/2
2
fraction or broken number
reduced fraction

6. The denominator of the fraction part of the mixed number is
Terminating decimal
rhombus
polygon
the denominator of the original improper fraction

7. What is the only Even prime number?
denominator
similar figures
probability
2

8. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
enclosing the numbers in a pair of vertical lines | |
Even or Non-Int
cubed
Both

9. The ratio of a number to 100 (per one hundred). The symbol %
percent
improper fractions
obtuse angle
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?

10. The distance around a circle (the perimeter of a circle)
Axiom VIII.
When you are absolutely sure the variable or expression <> 0
circumference
equation

11. A mathematical sentence that uses an equal sign
prism
simplify
Homogenous or Heterogenous
equation

12. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
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?
proper fraction
When the addends have opposite signs one is + and the other is -

13. What's the reciprocal of v6 - and why?
ratio
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
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
angle

14. 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.
Different Units
Aliquant Part
Axiom VIII.
To square an equation to solve it

15. 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.
product
mean
Whole Numbers
The concept of trading decimal places and how it works

16. Two or more fractions that have the same denominator
like fractions
right triangle
factors of the multiplication operation
Computation

17. TotalCost($) = ?

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18. The result of the division called the
quotient
simplify
denominator
1 - (y/100)

19. The numerator of the fraction part of the mixed number is the remainder from the
quotient
equivalent
0
To add integers that have the same sign (both positive or both negative):

20. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Converting Improper Fractions to Mixed Numbers
To convert any fraction to higher terms
When numbers do not divide evenly
prism

21. Change/Original = New
Percent Change
like fractions
Unity - or a Unit
divisor

22. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
commutative law of multiplication
When numbers do not divide evenly
rhombus
numerator

23. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Original + Change = New Change/Original = Percent Change
Odd
when there are explicit or implicit equations in the problem:
Is equal to the original value

24. Is equal to zero. 0 x a = 0
1 - (y/100)
Zero multiplied by any value
they have the same absolute value
Even

25. Decreasing the Denominator of a fraction Increases/Decreases the value?
Unknown quantities
Decimals/Percents
Line Segments
Increases the value.

26. The process of breaking a number down into its factors is called
mixed number
factoring
the same point on the number line
prism

27. 3 ways to solve an absolute value inequality
Mathematics
probability
before solving
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

28. A whole number can be expressed as an improper fraction by
Computation
the same point on the number line
putting that number over 1
reciprocal

29. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
scalene triangle
Axiom VI.
Some integer/Some Power of 10
Positive-value integers

30. 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
When to use the Heavy Division Shortcut - and how to do it
Non-Int
There are two parts in the procedure for subtracting signed integers:
Zero (0)

31. The vertical number line of a coordinate graph
acute angle
y-axis
multiplier
trapezoid

32. The upper number in a fraction is the
numerator
Unity - or a Unit
obtuse angle
1

33. Even X Even = ? ... and is div. by ?
The sum of all the integers from 20 to 100 - inclusive
product
Even div. by 4
right angle

34. A whole number that has only one set of factors - itself and 1.
median
mode
prime number
Every integer between 1 and X - inclusive - must be a factor of X

35. In a group of values - the value that occurs most often.
Even
lowercase Variables
quadrilateral
mode

36. A value such as 5^2 can be called

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37. Any number with a negative exponent
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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
base
equal to 1 divided by that number with a positive exponent

38. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
To add integers that have the same sign both positive or both negative:
1
Evaluating Powers With Negative Exponents

39. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
octagon
prime factors
right triangle

40. Sale Price = ?
Odd
2 and/or 5 only
Magnitude
Unit Cost + Markup

41. The number to be multiplied by is called the
multiplier
scalene triangle
To make sure to solve for Both cases.
To add integers that have opposite signs:

42. Method: convert Percent to Decimal?
Shift DP 2 places left
The Ratio of Any two of the following: Original - Change and New
multiplier
Line Segments

43. All whole numbers (both positive and negative) and zero.
2
Greater
integers
Even or Non-Int

44. Breaking down a composite number until all of the factors are prime
'six cubed'
prime factorization
area
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?

45. 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.
factor
proper fraction
composite number
Change + - Original = New

46. Whole is equal in Multitude to a Part of the other.
Aliquot and Aliquant Parts
obtuse angle
Adding negative integers will always produce a negative sum
Equal

47. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
quadrilateral
dividend
equal to itself.

48. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
octagon
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
the same point on the number line
similar figures

49. A number with an exponent of 3 is often said to be
similar figures
Line Segments
cubed
Increases the value.

50. A value that combines a whole number and a fractional amount
integers
Quantity is expressed
mixed number
To add integers that have opposite signs: