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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. Factors may be multiplied in any order.
rectangle
commutative law of multiplication
Wage Rate ($ per hr) x Hrs worked
integer values

2. The largest integer that can be divided evenly into both the numerator and denominator.
Aliquot and Aliquant Parts
roots of numbers
simplify
Reducing by the Largest Common Factor (LCF)

3. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Change + - Original = New
Quantity is expressed
Even

4. A number with an exponent of 2 is often said to be
squared
Carry the 10's digit of the product to the top of the 10's column of factors.
A = (Diagonal1 x Diagonal2) / 2
when there are explicit or implicit equations in the problem:

5. By the first letters of the alphabet (a - b - c - d - etc..)
unit ratio
To make sure to solve for Both cases.
Unknown quantities
the Complement of that part to the whole

6. Two angles whose sum equals 90 degrees.
The Decimal Numbering System
Alternative to the algebraic manipulation method to solving a VIC
complementary angles
1

7. In a division problem - the number that an amount is divided by
The Ratio of Any two of the following: Original - Change and New
divisor
integers
product

8. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Even - Odd or Non-Int
How the Last Digit Shortcut works
probability
A = (D1 x D2) / 2

9. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Aliquot and Aliquant Parts
Magnitude
Odd

10. All the positive whole numbers
referred to Unity in the same way
putting that number over 1
integer values
perimeter

11. How many Even primes are there?
denominator
x-coordinate
Evaluating Powers With Negative Exponents
One... the number 2

12. Lines in the same plane that do not intersect. The symbol //
Step 2 of Converting Improper Fractions to Mixed Numbers
parallel lines
Absolute and Relative
scalene triangle

13. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Species
complementary angle
Computation
Multitude

14. Includes an integer as well as a fractional part
composite number
UnitPrice ($/unit) x Qty.Purchas'd (units)
mixed number
Unit Price x Qty. Sold

15. The absolute value of numbers is indicated by
Even
enclosing the numbers in a pair of vertical lines | |
octagon
mixed number

16. Species and Number may be
2
Homogenous or Heterogenous
mixed number
Non-Int

17. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
improper fraction
When to use fractions
supplementary angles
one is positive and the other is negative

18. A triangle that has three equal sides and three equal angles
sample
Step 2 of Converting mixed numbers to improper fractions
To add integers that have the same sign both positive or both negative:
equilateral triangle

19. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
y-coordinate
Both
diameter

20. Cross-multiply
When you are absolutely sure the variable or expression <> 0
To find out - easily - if one fraction is bigger than another
Odd
supplementary angles

21. A mathematical sentence that uses an equal sign
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
equation
Odd
lowercase Variables

22. One of the four regions formed by the intersection of the axes of a coordinate graph
mean
Revenue ($) - Cost ($)
quadrant
There are two parts in the procedure for subtracting signed integers:

23. Is equal to the original value. a x 1 = 1
Any value multiplied by one
integer or whole number
Unity - or a Unit
improper fraction

24. Every number is contained in itself once.
Decreases
Axiom VII.
Axiom IV.
Known quantities

25. A fraction with all common factors (other than 1) factored out of the numerator and denominator
congruent
product
2
lowest terms

26. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
To find out - easily - if one fraction is bigger than another
composite number
mode
polygon

27. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Quantity is expressed
numerator
Same units
quotient

28. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Percent Change
Arithmetic - Music - Geometry and Astronomy
Odd
Shift DP 2 places right

29. An angle measuing more than 0 degrees and less than 90 degrees
Homogenous or Heterogenous
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.
acute angle

30. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Different Units
inverse operations
the Complement of that part to the whole
lowercase Variables

31. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Inserting a zero at the right end of a whole number
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
Species

32. Having the same value
equivalent
Even - Odd or Non-Int
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
integer or whole number

33. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
integers
Evaluating Powers With Negative Exponents
( (Last - First) / Increment ) + 1
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

34. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
Quantity
denominator
congruent

35. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
range
The concept of trading decimal places and how it works
the denominator of the original improper fraction

36. Method: convert Percent to Decimal?
ratio
Shift DP 2 places left
change the operation from subtraction to addition
The Decimal Numbering System

37. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
acute angle
order of operations
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
median

38. Switch to a number-picking strategy
mixed number
A = (Base x Height) / 2 - A = (BH)/2
Alternative to the algebraic manipulation method to solving a VIC
Sum of Interior Angles of a Polygon: (n - 2) x 180

39. Profit = ?
Revenue ($) - Cost ($)
base
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
y-coordinate

40. A triangle with sides of different lengths and no two angles are the same
mode
(Last - First + 1)
scalene triangle
Every integer between 1 and X - inclusive - must be a factor of X

41. 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.
the Complement of that part to the whole
parallelogram
When to use fractions
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

42. A solid figure with two congruent and parallel circular bases
Axiom VII.
(Last - First + 1)
angle
cylinder

43. Multiply both the numerator and denominator by the same integer value.
whether the addends have the same sign or opposite signs
To convert any fraction to higher terms
perimeter
Even or Non-Int

44. When the factors of a number are all prime numbers - the factors are said to be the
Quantity
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
prime factors
mixed fraction

45. A sign of grouping can be omitted when it
common factor
Converting mixed numbers to improper fractions.
Step 2 of Converting mixed numbers to improper fractions
contains only a single number

46. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
Even
composite number
range
quotient

47. 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
Different Units
How the Last Digit Shortcut works
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

48. The result of the multiplication is called the
common denominator
product
1 and itself
equation

49. A quadrilateral with two pairs of congruent - parallel sides
Subtracting Signed Integers
parallelogram
Every integer between 1 and X - inclusive - must be a factor of X
inverse

50. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
equation
order of operations
prism
y-coordinate