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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. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
Shift DP 2 places right
2
1 - (y/100)

2. A quadrilateral with two pairs of congruent - parallel sides.
integer or whole number
parallelogram
theorem
acute angle

3. To indicate the subtraction operation - to indicate a negative integer value
angle
A minus sign ( - ) is used for two entirely different purposes:
Step 2 of Converting Improper Fractions to Mixed Numbers
mode

4. ' x percent' = ?
Power notation
percent
exponent
x/100

5. What are the only prime factors that a fraction resulting in a terminating decimals have?
ratio
2
right triangle
2 and/or 5 only

6. A sign of grouping can be omitted when it
Zero multiplied by any value
contains only a single number
simplify
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

7. Why are Even Exponents dangerous?
prism
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Non-Int
There are two parts in the procedure for subtracting signed integers:

8. A unit for measuring area
square unit
mean
Decreases
The concept of trading decimal places and how it works

9. The difference between the least and greatest values in a set of numbers.
Zero (0)
congruent
range
congruent

10. A Polygon is a closed shape formed by
Line Segments
( (Last - First) / Increment ) + 1
right triangle
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

11. A triangle that has three equal sides and three equal angles
equilateral triangle
dividend
Same units
Decreases

12. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Positive-value integers
Percent Decrease Formula
complementary angle

13. Odd / Even = ? e.g. 9/6 = 1.5
Equal
Non-Int
improper fraction
quotient

14. Is equal to zero. 0 x a = 0
equivalent
Step 2 of Converting mixed numbers to improper fractions
Zero multiplied by any value
quadrant

15. Area of a Rhombus is?
A minus sign ( - ) is used for two entirely different purposes:
Carry the 10's digit of the product to the top of the 10's column of factors.
A = (D1 x D2) / 2
diameter

16. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
Axiom I.
Every integer between 1 and X - inclusive - must be a factor of X
simplify

17. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
mean
prism
proportion
Even and Odd

18. A value that combines a whole number and a fractional amount
'five squared'
equal to 1
To convert any fraction to higher terms
mixed number

19. Unit Profit = ?
sum
factoring
1
Sale Price - Unit Cost

20. The difference between the least and greatest values in a set of numbers
There are two parts in the procedure for subtracting signed integers:
range
scalene triangle
combination of addition and subtraction

21. The result of the division called the
The bottom side of the triangle
proper fraction
quotient
The sum of all the integers from 20 to 100 - inclusive

22. A combination of numbers and variables connected by one or more operations signs
expression
probability
factors of the multiplication operation
exponent

23. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Odd
factors of the multiplication operation
improper fraction
Being divided by a power of 10

24. 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
factors of the multiplication operation
A sum of 2 primes is Odd
the Complement of that part to the whole

25. Is the opposite of raising fractions to higher terms.
multiplier
Reducing fractions
proportion
Is equal to the original value

26. The ratio of a number to 100 (per one hundred). The symbol %
Axiom VII.
referred to the same Unit
To make sure to solve for Both cases.
percent

27. An equation stating that two ratios are equal
A plus sign (+) is used for two entirely different purposes:
proportion
Both
isosceles triangle

28. 1 to any power is equal to
lowest terms
1
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
polygon

29. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
when there are explicit or implicit equations in the problem:
Even and Odd
one is positive and the other is negative
Unit Cost + Markup

30. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Sale Price - Unit Cost
Inserting a zero at the right end of a whole 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.
change the operation from subtraction to addition

31. The result of muliplying two or more numbers
Odd
product
lowercase Variables
Always completed first

32. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
both integers are positive or both are negative
hexagon
Positive-value integers

33. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
the same point on the number line
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Adding negative integers will always produce a negative sum
one is positive and the other is negative

34. The largest integer that can be divided evenly into both the numerator and denominator.
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.
least common multiple (LCM)
Reducing by the Largest Common Factor (LCF)
simplify

35. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
To find out - easily - if one fraction is bigger than another
circumference
acute angle
Odd or Non-Int

36. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Odd
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
roots of numbers
prime number

37. The sum of a group of numbers divided by the number of numbers; also known as the average
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.
Quantity is expressed
enclosing the numbers in a pair of vertical lines | |
mean

38. A parallelogram with four right angles
rectangle
y-axis
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
Change / Original Formula?

39. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Step 1 of Converting Improper Fractions to Mixed Numbers
expression
1 - (y/100)

40. What's the reciprocal of v6 - and why?
To add integers that have opposite signs:
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
prism
similar figures

41. 1 to any power is equal to
expression
To add integers that have the same sign (both positive or both negative):
1
perimeter

42. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
farther to the left on the number line
complementary angles
Is equal to the original value
Species

43. A number with an exponent of 2 is often said to be
Revenue ($) - Cost ($)
squared
Step 1 of Converting mixed numbers to improper fractions
x-coordinate

44. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Axiom IV.
Homogenous or Heterogenous
polygon
Unit Price x Qty. Sold

45. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
The concept of trading decimal places and how it works
inverse operations
quotient

46. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
reflection
To make sure to solve for Both cases.
Odd
mode

47. Expresses fractional parts that are greater than 1.
parallelogram
mixed number
Is zero
To add integers that have opposite signs:

48. A known quantity we refer to as One.
roots of numbers
divisor
Axiom IX.
Unity - or a Unit

49. 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?
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.
Mathematics
Axiom III.
Number Systems

50. Always perform combinations of multiplication and division before
sum
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
2^3 = 8
combination of addition and subtraction