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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. Unit Profit = ?
Power notation
Sale Price - Unit Cost
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Step 1 of Converting Improper Fractions to Mixed Numbers

2. 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
quotient
improper fraction
To convert any fraction to higher terms

3. 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
To find out - easily - if one fraction is bigger than another
polygon
Same units

4. The Sum of n consecutive integers is Not divisible by n if n is
simplify
1 - (y/100)
Even
mean

5. Always perform the operations
Equality
The concept of trading decimal places and how it works
from left to right
When to use fractions

6. Cross-multiply
To find out - easily - if one fraction is bigger than another
Positive-value integers
Subtracting Signed Integers
straight angle

7. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
divisor
Odd or Non-Int
Wage Rate ($ per hr) x Hrs worked
Homogenous or Heterogenous

8. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
reflection
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
How the Last Digit Shortcut works
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

9. A whole number that has only one set of factors - itself and 1.
squared
proper fraction
prime number
Both

10. An angle measuring more than zero degrees and less than 90 degrees
acute angle
reduced fraction
mode
Axiom I.

11. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
pyramid
referred to the same Unit
To add integers that have opposite signs:
quadrilateral

12. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
right triangle
Inserting a zero at the left end of a whole number
Sum of Interior Angles of a Polygon: (n - 2) x 180
acute angle

13. ' x percent' = ?
x/100
To convert any fraction to higher terms
integer values
proper fraction

14. Species and Number may be
Carry the 10's digit of the product to the top of the 10's column of factors.
right angle
2
Homogenous or Heterogenous

15. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
More
Reducing by the Largest Common Factor (LCF)
When to use fractions

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

17. An evenly-spaced set is fully-defined if what is known...?
enclosing the numbers in a pair of vertical lines | |
Computation
Axiom II.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

18. An eight-sided polygon
octagon
(Last - First + 1)
Change + - Original = New
Even

19. The whole is more or greater than its part.
Axiom IV.
prime factors
divisor
'six cubed'

20. A mirror image of a figure shown over a line of reflection
probability
The height of a triangle
When the addends have the same sign both + or both -
reflection

21. Adding integers that have the same sign means
Reducing: The Brute-Force Method
both integers are positive or both are negative
Always completed first
axiom

22. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
equal to 1 divided by that number with a positive exponent
denominator
like fractions
straight angle

23. Has no sign value
exactly the same portion
higher terms
Zero (0)
area

24. A parallelogram with all sides equal and congruent
rhombus
More
1 and itself
Axiom IX.

25. 3/2 - 8/3 - -16/5 - 7/7
square unit
improper fractions
acute angle
composite number

26. For there to be X unique factors of X - what must be true?
To make sure to solve for Both cases.
Different Units
Every integer between 1 and X - inclusive - must be a factor of X
circumference

27. Is ZERO positive or negative - both - or none?
right triangle
parallel lines
base
Both

28. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
diameter
Is equal to the original value
x-coordinate

29. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
Even
multiplicand
0.625

30. The horizontal number line of a coordinate graph
x-coordinate
Every integer between 1 and X - inclusive - must be a factor of X
Is equal to the original value
x-axis

31. A triangle with one right angle
reduced fraction
right triangle
cubed
Even

32. One number is said to be greater than (>) another when it is
absolute value
farther to the right on the number line.
Alternative to the algebraic manipulation method to solving a VIC
Odd

33. A parallelogram with four right angles
contains only a single number
rectangle
equal to itself.
The rule for adding negative integers is the same as the rule for adding positive integers:

34. The largest integer that can be divided evenly into both the numerator and denominator.
x = (+-) a
Sale Price - Unit Cost
rectangle
Reducing by the Largest Common Factor (LCF)

35. A sign of grouping can be omitted when it
Even
Reducing fractions
contains only a single number
circumference

36. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
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
Odd
2
Parts

37. 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
To square an equation to solve it
Inserting a zero at the right end of a whole number
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Equal

38. 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
Converting Improper Fractions to Mixed Numbers
Greater
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
improper fraction

39. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
Even or Non-Int
Revenue ($) - Cost ($)
To add integers that have opposite signs:

40. 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
diameter
integer or whole number
1
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.

41. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
factors of the multiplication operation
2
product
polygon

42. The result of the division called the
dividend
quotient
prime number
Long Division

43. To indicate the subtraction operation - to indicate a negative integer value
When to use the Heavy Division Shortcut - and how to do it
congruent
1 - (y/100)
A minus sign ( - ) is used for two entirely different purposes:

44. Whole is equal in Multitude to a Part of the other.
Equal
composite number
exactly the same portion
When the addends have opposite signs one is + and the other is -

45. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Unit Price x Qty. Sold
proportion
scale drawing
Reducing fractions

46. What are the rules for picking numbers in VICS?
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?
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
(Last - First + 1)
mixed number

47. The absolute value of the numerator is smaller than the absolute value of the denominator.
Negative-value integers
radius
proper fraction
Axiom IX.

48. The ratio of a number to 100 (per one hundred). The symbol %
Sale Price - Unit Cost
composite number
percent
mode

49. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
quotient
polygon
Revenue ($) - Cost ($)

50. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
equal to 1 divided by that number with a positive exponent
Non-Int
Unity - or a Unit