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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. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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2. The process of breaking a number down into its factors is called
composite number
factoring
radius
median

3. Two numbers are said to be equal (=) when they are at
y-coordinate
the same point on the number line
Multitude
When the addends have the same sign both + or both -

4. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
the same point on the number line
obtuse angle
change the operation from subtraction to addition
parallelogram

5. Unit Profit = ?
Magnitude at Rest and Magnitude in Motion
Even
Reducing: The Brute-Force Method
Sale Price - Unit Cost

6. Any number with an exponent of 0
Change / Original Formula?
mean
equal to 1
Even or Non-Int

7. 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
Both
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
Step 2 of Converting Improper Fractions to Mixed Numbers
Converting mixed numbers to improper fractions.

8. A comparison of the two values of two numbers
reciprocal
ratio
Magnitude at Rest and Magnitude in Motion
When the addends have opposite signs one is + and the other is -

9. Two or more fractions that have the same denominator
like fractions
numerator
Even and Odd
Quantity is expressed

10. An angle that measures 180 degrees
straight angle
product
Reducing: The Brute-Force Method
putting that number over 1

11. Having the same value
percent
equivalent
Axiom II.
product

12. A ratio that compares two different types of quantities
dividend
vertex (vertices - plural)
rate
Equality

13. The numerator is smaller than the denominator
rate
proper fraction
area
Revenue ($) - Cost ($)

14. 1/2 - 1/3 - 2/3 - -5/8
equivalent
proper fractions
before solving
product

15. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign (both positive or both negative):
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
putting that number over 1
To add integers that have the same sign both positive or both negative:

16. The Only possible factors for a prime number are
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 and itself
scalene triangle
A minus sign ( - ) is used for two entirely different purposes:

17. The result of multiplying two or more numbers.
Reducing: The Brute-Force Method
One... the number 2
Sale Price - Unit Cost
product

18. The largest integer that can be divided evenly into both the numerator and denominator.
unit ratio
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
Reducing by the Largest Common Factor (LCF)
referred to Unity in the same way

19. All the positive whole numbers
Percent Change
ordered pair
Axiom IV.
integer values

20. Two angles whose sum equals 90 degrees.
complementary angles
quadrilateral
enclosing the numbers in a pair of vertical lines | |
product

21. A ratio that shows the cost per unit of measure
unit ratio
Line Segments
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
rate

22. What is the formula for: The Area of a Triangle ?
composite number
A = (Base x Height) / 2 - A = (BH)/2
Number
dividend

23. What's the reciprocal of v6 - and why?
reduced fraction
perimeter
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
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

24. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
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
The Ratio of Any two of the following: Original - Change and New
When to use fractions

25. 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.
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
scale drawing
diameter
equal to 1

26. The distance around a figure
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
fraction or broken number
quotient
perimeter

27. The numerator is greater than - or equal to - the denominator
Zero (0)
Inequality
improper fraction
common factor

28. Change / Original Formula
Change + - Original = New
When to use fractions
1 and itself
Odd

29. The smallest multiple that two or more numbers have in common
parallelogram
order of operations
least common multiple (LCM)
When the addends have opposite signs one is + and the other is -

30. The sum of a group of numbers divided by the number of numbers. Also known as the average.
greatest common factor (GCF)
mean
obtuse angle
Step 2 of Converting Improper Fractions to Mixed Numbers

31. To make a fraction easier to work with by taking out common factors
Aliquot and Aliquant Parts
combination of addition and subtraction
simplify
1 - (y/100)

32. A number with only two factors: the number itself and one.
x-axis
integer or whole number
vertex (vertices - plural)
prime number

33. Two numbers listed in a specific order; it describes a point on the coordinate graph
ordered pair
Axiom V.
y-axis
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

34. 0.625 --> Fraction ?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
5/8
The Decimal Numbering System
( (Last - First) / Increment ) + 1

35. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
improper fraction
Proof
order of operations
denominator

36. By the last letters (u - x - y - etc.)
'six cubed'
axiom
Known quantities
Odd

37. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Revenue ($) - Cost ($)
Inserting a zero at the left end of a whole number
y-coordinate
prime number

38. A quadrilateral with two pairs of congruent - parallel sides.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
parallelogram
Number
from left to right

39. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
equal to 1 divided by that number with a positive exponent
The Ratio of Any two of the following: Original - Change and New
quotient
prime number

40. Lines in the same plane that do not intersect. The symbol //
Change / Original Formula?
parallel lines
probability
higher terms

41. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
factor
Fractions allow you to plot values between whole numbers and integers.
exponent

42. 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.
Non-Int
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
When numbers do not divide evenly
exponent

43. Odd x ? = Even
Revenue ($) - Cost ($)
Even
Original x (1 - x/100) = New
Number

44. A triangle with one right angle
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
right triangle
Axiom VIII.
mean

45. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
fraction or broken number
parallelogram
Zero (0)

46. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
2
Even - Odd or Non-Int
higher terms
factor

47. Every number is contained in itself once.
When to use fractions
quotient
straight angle
Axiom VII.

48. 3 ways to solve an absolute value inequality
isosceles triangle
area
A minus sign ( - ) is used for two entirely different purposes:
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

49. The ratio of a number to 100 (per one hundred); the symbol %
right triangle
congruent
farther to the right on the number line.
percent

50. The whole is more or greater than its part.
congruent
sum
congruent
Axiom IV.