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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 Sum of n consecutive integers is Not divisible by n if n is
A minus sign ( - ) is used for two entirely different purposes:
Even
Decimals/Percents
y-coordinate

2. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
Even
Reducing: The Brute-Force Method
5/8

3. Is equal to the original value. a x 1 = 1
Odd
Proof
Any value multiplied by one
Shift DP 2 places left

4. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Converting mixed numbers to improper fractions.
To square an equation to solve it
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
order of operations

5. What are the rules for picking numbers in VICS?
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.
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
perimeter
A = (Diagonal1 x Diagonal2) / 2

6. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
common factor
divisor
Unit Price x Qty. Sold
Even - Odd or Non-Int

7. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Greater
x-coordinate
multiplier
perimeter

8. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Composite number
Fractions allow you to plot values between whole numbers and integers.
Species
mean

9. The method for indicating the power of a number
Power notation
Change + - Original = New
Line Segments
complementary angle

10. The study of quantity
improper fraction
Sale Price - Unit Cost
Mathematics
( (Last - First) / Increment ) + 1

11. Is ZERO positive or negative - both - or none?
higher terms
cubed
Both
always clear the innermost groups first

12. Reducing fractions is
parallelogram
dividing the numerator and denominator by the same number
0
Different Units

13. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
To find out - easily - if one fraction is bigger than another
vertex (vertices - plural)
ratio
putting that number over 1

14. 1 to any power is equal to
mixed fraction
Odd
1
Power notation

15. Change + - Original = New
Unit Price x Qty. Sold
sum
Change / Original Formula?
prism

16. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
absolute value
prism
To convert any fraction to higher terms
octagon

17. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
squared
1 - (y/100)

18. Includes an integer as well as a fractional part
equation
mixed number
composite number
square root

19. Basic Number Properties and elementary operations.
Change + - Original = New
Axiom VI.
Number Systems
Same units

20. 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?
Both
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.
inverse operations
Unit Price x Qty. Sold

21. Why are Even Exponents dangerous?
Odd or Non-Int
inverse operations
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Reducing fractions

22. The upper number in a fraction is the
numerator
Odd
Axiom VII.
median

23. By the first letters of the alphabet (a - b - c - d - etc..)
Being divided by a power of 10
proper fraction
Unknown quantities
lowest terms

24. Always perform combinations of multiplication and division before
(Last - First + 1)
combination of addition and subtraction
Original x (1 - x/100) = New
hexagon

25. The difference between the least and greatest values in a set of numbers
Quantity is expressed
the denominator of the original improper fraction
range
angle

26. No integer (except 1) that divides evenly into both the numerator and denominator.
y-coordinate
0.625
Quantity
reduced fraction

27. 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
Multitudes and Magnitudes
Negative-value integers
The sum of all the integers from 20 to 100 - inclusive
acute angle

28. The smallest multiple that two or more numbers have in common
vertex (vertices - plural)
Sum of Interior Angles of a Polygon: (n - 2) x 180
least common multiple (LCM)
The Ratio of Any two of the following: Original - Change and New

29. What is the formula forCounting consecutive integers?
One... the number 2
Greater
x-axis
(Last - First + 1)

30. Any number with an exponent of 1
equal to itself.
lowest terms
integer values
percent

31. A ratio that shows the cost per unit of measure
unit ratio
Odd
Reducing by the Largest Common Factor (LCF)
Even

32. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
equal to itself.
proper fractions
Reducing: The Brute-Force Method
quadrilateral

33. The vertical number line of a coordinate graph
Unit Price x Qty. Sold
y-axis
prism
x = (+-) a

34. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
area
ratio
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

35. A triangle that has three equal sides and three equal angles
equilateral triangle
they have the same absolute value
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Axiom III.

36. When will a decimal terminate and why?
A sum of 2 primes is Odd
How the Last Digit Shortcut works
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Wage Rate ($ per hr) x Hrs worked

37. By the last letters (u - x - y - etc.)
divisor
1 and itself
Known quantities
When numbers do not divide evenly

38. The two kinds of Quantity are
polygon
When to use fractions
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Multitudes and Magnitudes

39. 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.
Whole
Decimals/Percents
Axiom X.
Same units

40. A polygon that has four sides
Different Units
quadrilateral
Wage Rate ($ per hr) x Hrs worked
range

41. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
congruent
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
The rule for adding negative integers is the same as the rule for adding positive integers:
62.5%

42. A parallelogram with all sides equal and congruent
x-axis
Change / Original Formula?
rhombus
x = (+-) a

43. If 2 numbers are OPPOSITES of each other
pi
quotient
Even or Non-Int
they have the same absolute value

44. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
integer or whole number
pentagon
mode

45. Profit = ?
diameter
cubed
Axiom II.
Revenue ($) - Cost ($)

46. The amount that remains after one number has been subtracted from another
Quantity
(Last - First + 1)
Proof
difference

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.
equation
Magnitude
Decimals/Percents
before solving

48. Breaking down a composite number until all of the factors are prime
Decreases
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
prime factorization
parallelogram

49. Whole is equal in Multitude to a Part of the other.
The height of a triangle
mixed number
Decimals/Percents
Equal

50. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
The rule for adding negative integers is the same as the rule for adding positive integers:
square unit
Converting mixed numbers to improper fractions.
integer or whole number