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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. A polygon with six sides.
higher terms
lowest terms
hexagon
factors of the multiplication operation

2. Things are Equal in Multitude when they are
1
referred to Unity in the same way
Species
y-axis

3. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Unit Price x Qty. Sold
polygon
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
0.625

4. Factors may be multiplied in any order.
x-axis
commutative law of multiplication
Quantity is expressed
To square an equation to solve it

5. A comparison of the two values of two numbers
Every integer between 1 and X - inclusive - must be a factor of X
Both
ratio
Quantity

6. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
circumference
cubed

7. Species are distinguished into
acute angle
Known (Given) and Unknown (Sought)
mixed number
Axiom III.

8. Zero divided by any whole number (except 0)
squared
Is zero
proper fractions
ratio

9. When working with nested signs of grouping
When you are absolutely sure the variable or expression <> 0
order of operations
Aliquot and Aliquant Parts
always clear the innermost groups first

10. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
equilateral triangle
mixed number
octagon
Odd

11. What is the formula forCounting consecutive integers?
(Last - First + 1)
expression
theorem
Being divided by a power of 10

12. Why are Even Exponents dangerous?
1
Axiom IX.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
inverse operations

13. A number with an exponent of 3 is often said to be
octagon
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.
cubed
order of operations

14. 1 to any power is equal to
Always completed first
fraction or broken number
1
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

15. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
When you are absolutely sure the variable or expression <> 0
Even - Odd or Non-Int
Even

16. All whole numbers (both positive and negative) and zero.
Zero multiplied by any value
integers
rectangle
Power notation

17. The number doing the dividing is called the
x-axis
mixed fraction
divisor
perimeter

18. The exact procedure for adding signed integers depends upon
simplify
x-axis
Relative multitude
whether the addends have the same sign or opposite signs

19. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
rate
Decreases
0.625

20. The numerator of the fraction part of the mixed number is the remainder from the
percent
vertex (vertices - plural)
quotient
A plus sign (+) is used for two entirely different purposes:

21. 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
scale drawing
Some integer/Some Power of 10
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
There are two parts in the procedure for subtracting signed integers:

22. The lower number in a fraction is the
denominator
Axiom VI.
A = (D1 x D2) / 2
scalene triangle

23. A polygon that has four sides
trapezoid
Multitudes and Magnitudes
quadrilateral
right triangle

24. Always perform the operations
radius
proper fractions
dividend
from left to right

25. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
prime number
cylinder
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.

26. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
pentagon
angle
prime number

27. An eight-sided polygon
Change / Original Formula?
octagon
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
Step 2 of Converting mixed numbers to improper fractions

28. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
complementary angles
obtuse angle
Decreases
equilateral triangle

29. Percent Decrease Formula ?
Odd
inverse
Original x (1 - x/100) = New
mode

30. What are the 2 'percent change' equations?
Even or Non-Int
equal to 1
farther to the left on the number line
Original + Change = New Change/Original = Percent Change

31. The difference between the least and greatest values in a set of numbers.
range
diameter
Odd
The sum of all the integers from 20 to 100 - inclusive

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.
Reducing: The Brute-Force Method
when there are explicit or implicit equations in the problem:
sum
Odd

33. What is the formula forCounting consecutive multiples?
base
radius
( (Last - First) / Increment ) + 1
Decimals/Percents

34. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
unit ratio
( (Last - First) / Increment ) + 1
Magnitude
Sum of Interior Angles of a Polygon: (n - 2) x 180

35. Every number is contained in itself once.
Even or Non-Int
Axiom VII.
Odd
Equality

36. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
The sum of all the integers from 20 to 100 - inclusive
Homogenous or Heterogenous
polygon

37. The ratio of a number to 100 (per one hundred). The symbol %
Equality
cross product
percent
mode

38. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
The Ratio of Any two of the following: Original - Change and New
Step 1 of Converting Improper Fractions to Mixed Numbers
Evaluating Powers With Negative Exponents
angle

39. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Step 2 of Converting mixed numbers to improper fractions
Whole Numbers
fraction or broken number
Percent Decrease Formula

40. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
prism
How the Last Digit Shortcut works
Known (Given) and Unknown (Sought)
'five squared'

41. Whole is equal in Multitude to a Part of the other.
when there are explicit or implicit equations in the problem:
Equal
Zero multiplied by any value
cross product

42. A ratio that shows the cost per unit of measure
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
quadrilateral
unit ratio
complementary angle

43. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Even and Odd
denominator
the Complement of that part to the whole
cross product

44. Includes an integer as well as a fractional part
cross product
mean
enclosing the numbers in a pair of vertical lines | |
mixed number

45. The Sum of n consecutive integers is Not divisible by n if n is
Inserting a zero at the left end of a whole number
Even
A sum of 2 primes is Odd
Parts

46. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Converting Improper Fractions to Mixed Numbers
sample
Axiom V.
Even and Odd

47. A number that is a factor of two or more numbers.
common factor
y-coordinate
putting that number over 1
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

48. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Axiom III.
Any value multiplied by one
median
angle

49. Method: convert Percent to Decimal?
Shift DP 2 places left
pyramid
sample
The height of a triangle

50. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Magnitude
Wage Rate ($ per hr) x Hrs worked
UnitPrice ($/unit) x Qty.Purchas'd (units)
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