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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. 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.
right angle
When numbers do not divide evenly
sum
2^3 = 8

2. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
before solving
Is zero
Multitude

3. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Odd
Every integer between 1 and X - inclusive - must be a factor of X
right angle
Converting Improper Fractions to Mixed Numbers

4. If 2 numbers are OPPOSITES of each other
mixed number
Known (Given) and Unknown (Sought)
equivalent
they have the same absolute value

5. What is the formula forCounting consecutive integers?
scalene triangle
(Last - First + 1)
Even
When numbers do not divide evenly

6. Indicates the number of times the base is to be multiplied
range
prime number
polygon
exponent

7. What is the formula forCounting consecutive multiples?
Any value multiplied by one
Original + Change = New Change/Original = Percent Change
Odd
( (Last - First) / Increment ) + 1

8. 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
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Odd

9. Surface space that is measured in square units.
Step 2 of Converting mixed numbers to improper fractions
area
polygon
pyramid

10. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
Zero multiplied by any value
There are two parts in the procedure for subtracting signed integers:
proper fractions

11. Odd +/- ____ = Odd
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Even
2

12. A quadrilateral with two pairs of congruent - parallel sides.
roots of numbers
Number Systems
parallelogram
right angle

13. By the last letters (u - x - y - etc.)
To add integers that have opposite signs:
Known quantities
proportion
Reducing: The Brute-Force Method

14. Two or more fractions that have the same denominator
factor
like fractions
Multitude
mixed number

15. A known quantity we refer to as One.
Unity - or a Unit
product
whether the addends have the same sign or opposite signs
rhombus

16. The lower number in a fraction is the
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
denominator
Odd
improper fraction

17. 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
Zero (0)
Odd
quotient

18. The denominator of the fraction part of the mixed number is
Unit Price x Qty. Sold
A = (Diagonal1 x Diagonal2) / 2
common factor
the denominator of the original improper fraction

19. The number doing the dividing is called the
cross product
divisor
Even
mixed number

20. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Terminating decimal
Unit Price x Qty. Sold
To add integers that have the same sign both positive or both negative:
(Last - First + 1)

21. TotalCost($) = ?

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22. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Revenue ($) - Cost ($)
Axiom X.
When the addends have the same sign both + or both -

23. 3/2 - 8/3 - -16/5 - 7/7
combination of addition and subtraction
hexagon
improper fractions
Multitudes and Magnitudes

24. The numerator of the fraction part of the mixed number is the remainder from the
Whole Numbers
quotient
When numbers do not divide evenly
When you are absolutely sure the variable or expression <> 0

25. 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.
circumference
Converting mixed numbers to improper fractions.
multiplicand
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

26. Whole is equal in Multitude to a Part of the other.
greatest common factor (GCF)
Equal
equal to 1 divided by that number with a positive exponent
from left to right

27. Expresses fractional parts that are greater than 1.
mixed number
proper fractions
Change / Original Formula?
Axiom V.

28. The total of two or more numbers being added
To add integers that have the same sign both positive or both negative:
2
sum
Inequality

29. Two angles whose sum is 180 degrees
supplementary angles
Mathematics
Axiom I.
referred to Unity in the same way

30. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
( (Last - First) / Increment ) + 1
they have the same absolute value
To make sure to solve for Both cases.

31. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
62.5%
quotient
from left to right

32. A triangle with sides of different lengths and no two angles are the same
parallelogram
scalene triangle
Sale Price - Unit Cost
(Last - First + 1)

33. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
absolute value
Step 2 of Converting Improper Fractions to Mixed Numbers
Mathematics

34. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
rectangle
Unit Price x Qty. Sold
Even

35. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Multitudes and Magnitudes
Inequality
probability
lowest terms

36. The ratio of integers that results in a terminating decimal
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
The height of a triangle
When the addends have the same sign both + or both -
Some integer/Some Power of 10

37. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Unity - or a Unit
Greater
product
Some integer/Some Power of 10

38. The whole-number part of the mixed number is the whole-number part of the
proportion
Arithmetic - Music - Geometry and Astronomy
Step 2 of Converting Improper Fractions to Mixed Numbers
quotient

39. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
from left to right
The Ratio of Any two of the following: Original - Change and New
Axiom III.

40. Is the agreement of things in Quanity.
rhombus
before solving
Equality
Reducing by the Largest Common Factor (LCF)

41. 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?
angle
order of operations
Zero (0)
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.

42. Can have many different combinations of factors
Reducing by the Largest Common Factor (LCF)
Composite number
1
obtuse angle

43. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
rate
denominator
To add integers that have the same sign both positive or both negative:

44. 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
Alternative to the algebraic manipulation method to solving a VIC
Percent Decrease Formula
Positive-value integers
like fractions

45. All the positive whole numbers
integer values
mode
Greater
supplementary angles

46. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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47. Having the same size and shape
common denominator
isosceles triangle
congruent
Homogenous or Heterogenous

48. What is the formula for: The Area of a Triangle ?
least common multiple (LCM)
1
rate
A = (Base x Height) / 2 - A = (BH)/2

49. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
mode
similar figures
denominator
circumference

50. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
right triangle
A = (Diagonal1 x Diagonal2) / 2
Different Units
divisor