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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 lower number in a fraction is the
When to use the Heavy Division Shortcut - and how to do it
denominator
y-axis
Whole

2. 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
Aliquant Part
Axiom VIII.
prime factorization
There are two parts in the procedure for subtracting signed integers:

3. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
Original + Change = New Change/Original = Percent Change
2
Multitude

4. A fraction with all common factors (other than 1) factored out of the numerator and denominator
vertex (vertices - plural)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
lowest terms
Percent Change

5. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
composite number
Percent Change
lowest terms

6. Any whole number can be expressed in terms of the
quadrant
contains only a single number
unit ratio
product

7. Always perform combinations of multiplication and division before
Zero (0)
1
combination of addition and subtraction
2

8. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
A = (Base x Height) / 2 - A = (BH)/2
To add integers that have the same sign both positive or both negative:
The concept of trading decimal places and how it works
Every integer between 1 and X - inclusive - must be a factor of X

9. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Whole
When to use the Heavy Division Shortcut - and how to do it
2
To add integers that have the same sign (both positive or both negative):

10. No integer (except 1) that divides evenly into both the numerator and denominator.
Relative multitude
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
congruent
reduced fraction

11. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
reciprocal
( (Last - First) / Increment ) + 1
composite number

12. In a division problem - the number that an amount is divided by
The bottom side of the triangle
divisor
both integers are positive or both are negative
higher terms

13. A ratio that shows the cost per unit of measure
unit ratio
angle
order of operations
composite number

14. Total Sales or Revenue = ?
parallelogram
Unit Price x Qty. Sold
radius
(Last - First + 1)

15. What is the formula forCounting consecutive multiples?
rectangle
To add integers that have the same sign (both positive or both negative):
quadrant
( (Last - First) / Increment ) + 1

16. Rules that tell which steps to follow when solving an expression
Odd
like fractions
order of operations
the same point on the number line

17. Odd +/- ____ = Odd
Even
How the Last Digit Shortcut works
1
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

18. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
common factor
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.
One... the number 2
dividend

19. 5/8 --> Decimal ?
0.625
straight angle
Whole
Even

20. The upper number in a fraction is the
rate
numerator
Axiom I.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

21. What is the increment of a set of consecutive integers?
1
Magnitude
area
Number

22. What is the formula forCounting consecutive multiples?
A = (Base x Height) / 2 - A = (BH)/2
diameter
divisor
( (Last - First) / Increment ) + 1

23. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
To convert any fraction to higher terms
Absolute and Relative
Odd
perimeter

24. 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
Revenue ($) - Cost ($)
Step 2 of Converting Improper Fractions to Mixed Numbers
1
one is positive and the other is negative

25. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Even
The Ratio of Any two of the following: Original - Change and New
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Decimals/Percents

26. Part of the population that is studied to find the characteristics of the whole population.
Even
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
sample
A = (D1 x D2) / 2

27. 1/2 - 1/3 - 2/3 - -5/8
Unit Cost + Markup
Unity - or a Unit
Aliquot and Aliquant Parts
proper fractions

28. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Aliquant Part
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Unity - or a Unit

29. What are the 2 'percent change' equations?
Even and Odd
Original + Change = New Change/Original = Percent Change
prime factors
inverse

30. Always perform the operations
from left to right
rate
fraction or broken number
proper fractions

31. A polygon that has four sides.
quadrilateral
factor
x-coordinate
order of operations

32. Any number with a negative exponent
Long Division
denominator
equal to 1 divided by that number with a positive exponent
expression

33. A number with an exponent of 3 is often said to be
Sale Price - Unit Cost
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
cubed
Even

34. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
Parts
When the addends have opposite signs one is + and the other is -
Terminating decimal

35. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
hexagon
(Last - First + 1)
Even
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

36. 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.
order of operations
vertex (vertices - plural)
absolute value
Reducing: The Brute-Force Method

37. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
angle
integer values
y-coordinate

38. An angle measuring more than zero degrees and less than 90 degrees
Axiom IV.
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
acute angle
Unity - or a Unit

39. Original x (1 - x/100) = New
simplify
Even
Even - Odd or Non-Int
Percent Decrease Formula

40. A Polygon is a closed shape formed by
product
Even
equal to 1 divided by that number with a positive exponent
Line Segments

41. Decreasing the Denominator of a fraction Increases/Decreases the value?
Line Segments
sample
Increases the value.
Axiom VIII.

42. Is equal to the original value. a x 1 = 1
Unit Price x Qty. Sold
Any value multiplied by one
Multitude
Wage Rate ($ per hr) x Hrs worked

43. When will a decimal Not terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even
Negative-value integers
circumference

44. Profit = ?
Whole Numbers
Revenue ($) - Cost ($)
Different Units
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

45. One number is said to be greater than (>) another when it is
farther to the right on the number line.
1
Adding negative integers will always produce a negative sum
Wage Rate ($ per hr) x Hrs worked

46. Every lesser number is contained in a greater more than once.
composite number
Axiom VIII.
Quantity is expressed
Step 1 of Converting Improper Fractions to Mixed Numbers

47. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Whole
factors of the multiplication operation
Odd
Aliquant Part

48. The denominator of the fraction part of the mixed number is
perimeter
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
the denominator of the original improper fraction
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.

49. 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.
The bottom side of the triangle
Inserting a zero at the left end of a whole number
Reducing: The Brute-Force Method
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

50. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
factoring
pi
Number
Odd