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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. 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.
prime factors
composite number
1 - (y/100)
hexagon

2. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
5/8
Shift DP 2 places right
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

3. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
x = (+-) a
To add integers that have opposite signs:
exponent
1

4. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
divisor
mixed number
Odd
Reducing by the Largest Common Factor (LCF)

5. Why are Even Exponents dangerous?
rectangle
1
roots of numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

6. Things are Equal in Magnitude when they are
scale drawing
Axiom X.
referred to the same Unit
ordered pair

7. Breaking down a composite number until all of the factors are prime
Axiom IX.
Positive-value integers
unit ratio
prime factorization

8. Taken together - the multiplicand and multiplier are known as
scale drawing
Step 1 of Converting Improper Fractions to Mixed Numbers
factors of the multiplication operation
UnitPrice ($/unit) x Qty.Purchas'd (units)

9. Surface space that is measured in square units.
lowest terms
( (Last - First) / Increment ) + 1
area
Long Division

10. The greater any number is in comparison to another - the more equal parts will it contain of that other.
right triangle
radius
Axiom IX.
Some integer/Some Power of 10

11. The exact procedure for adding signed integers depends upon
Odd or Non-Int
whether the addends have the same sign or opposite signs
Negative-value integers
octagon

12. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
farther to the left on the number line
Terminating decimal
Is equal to the original value
Even

13. In order to understand and use exponents that are fractions or decimals - you must first know about
mixed fractions
proper fractions
roots of numbers
A plus sign (+) is used for two entirely different purposes:

14. Is equal to the original value. a x 1 = 1
Any value multiplied by one
Percent Change
Shift DP 2 places left
1 and itself

15. TotalCost($) = ?

16. Is the opposite of raising fractions to higher terms.
To find out - easily - if one fraction is bigger than another
Reducing fractions
least common multiple (LCM)
product

17. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
one is positive and the other is negative
Species
Quantity is expressed
Odd

18. Any number with an exponent of 1
Wage Rate ($ per hr) x Hrs worked
Odd
simplify
equal to itself.

19. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Unknown quantities
Multitudes and Magnitudes
Always completed first
Decimals/Percents

20. A parallelogram with all sides equal and congruent
factors of the multiplication operation
enclosing the numbers in a pair of vertical lines | |
inverse
rhombus

21. The study of quantity
like fractions
divisor
area
Mathematics

22. A number that is a factor of two or more numbers.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
common factor
product
prime number

23. How many Even primes are there?
Sale Price - Unit Cost
Proof
rate
One... the number 2

24. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
mixed fractions
y-coordinate
divisor

25. What is the only Even prime number?
2
Shift DP 2 places right
A minus sign ( - ) is used for two entirely different purposes:
factoring

26. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
prime number
Decreases
Evaluating Powers With Negative Exponents
proportion

27. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
median
isosceles triangle
Number
fraction or broken number

28. 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)
quotient
absolute value
ratio

29. 'y percent less than' = ?
Step 1 of Converting Improper Fractions to Mixed Numbers
There are two parts in the procedure for subtracting signed integers:
scalene triangle
1 - (y/100)

30. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Step 1 of Converting mixed numbers to improper fractions
mixed number
median

31. The distance around a figure
squared
Percent Change
Inserting a zero at the left end of a whole number
perimeter

32. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
The bottom side of the triangle
change the operation from subtraction to addition
congruent

33. A number with an exponent of 2 is often said to be
Unity - or a Unit
squared
obtuse angle
multiplicand

34. A known quantity we refer to as One.
sum
probability
Unity - or a Unit
When to use fractions

35. Species and Number may be
Homogenous or Heterogenous
Subtracting Signed Integers
supplementary angles
Power notation

36. Zero divided by any whole number (except 0)
Absolute and Relative
Revenue ($) - Cost ($)
before solving
Is zero

37. 3 ways to solve an absolute value inequality
A sum of 2 primes is Odd
Shift DP 2 places right
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
Evaluating Powers With Negative Exponents

38. Area of a Rhombus is?
equation
A = (D1 x D2) / 2
octagon
composite number

39. The largest single factor for two or more numbers.
farther to the left on the number line
expression
Always completed first
greatest common factor (GCF)

40. A parallelogram with four right angles
A = (Base x Height) / 2 - A = (BH)/2
denominator
The rule for adding negative integers is the same as the rule for adding positive integers:
rectangle

41. When will a decimal Not terminate and why?
A = (Diagonal1 x Diagonal2) / 2
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
0.625
improper fraction

42. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
radius
cross product
Odd
Wage Rate ($ per hr) x Hrs worked

43. Can have many different combinations of factors
median
Inserting a zero at the left end of a whole number
Aliquant Part
Composite number

44. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
To add integers that have the same sign both positive or both negative:
Unity - or a Unit
polygon
Positive-value integers

45. Expresses fractional parts that are greater than 1.
Computation
mixed number
Equal
quadrant

46. An angle measuring more than zero degrees and less than 90 degrees
acute angle
Aliquant Part
Odd
product

47. 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
Arithmetic - Music - Geometry and Astronomy
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.
Absolute and Relative
rectangle

48. Is equal to zero. 0 x a = 0
Composite number
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
Zero multiplied by any value
unit ratio

49. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Absolute and Relative
scalene triangle
enclosing the numbers in a pair of vertical lines | |
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

50. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
To add integers that have the same sign both positive or both negative:
Axiom X.
Odd
scalene triangle