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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 mirror image of a figure shown over a line of reflection
polygon
octagon
reflection
Computation

2. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
Species
rhombus
Terminating decimal

3. 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.
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?
Power notation
inverse operations
Converting mixed numbers to improper fractions.

4. Is the agreement of things in Quanity.
square root
Axiom VI.
Equality
To convert any fraction to higher terms

5. What are the 3 main formulaic properties of evenly-spaced sets?
multiplier
Evaluating Powers With Negative Exponents
unit ratio
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

6. An equation stating that two ratios are equal
proportion
before solving
quotient
referred to the same Unit

7. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Whole Numbers
perimeter
obtuse angle
Even or Non-Int

8. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
higher terms
putting that number over 1
Step 1 of Converting Improper Fractions to Mixed Numbers

9. Is ZERO positive or negative - both - or none?
Both
Inserting a zero at the right end of a whole number
radius
theorem

10. A triangle with sides of different lengths and no two angles are the same
scalene triangle
roots of numbers
Whole
congruent

11. One number is said to be less than (<) another when it is
parallel lines
UnitPrice ($/unit) x Qty.Purchas'd (units)
Multitudes and Magnitudes
farther to the left on the number line

12. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
Axiom III.
theorem
proportion

13. Operations enclosed in a sign of grouping
higher terms
exponent
Unity - or a Unit
Always completed first

14. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
lowest terms
y-coordinate
Shift DP 2 places left
quadrilateral

15. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
scale drawing
Sum of Interior Angles of a Polygon: (n - 2) x 180
Multitudes and Magnitudes
multiplier

16. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
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
x-coordinate
Reducing fractions
squared

17. To indicate the subtraction operation - to indicate a negative integer value
Computation
Magnitude
A minus sign ( - ) is used for two entirely different purposes:
integer values

18. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
UnitPrice ($/unit) x Qty.Purchas'd (units)
pi
Original x (1 - x/100) = New
Homogenous or Heterogenous

19. Having the same value
A plus sign (+) is used for two entirely different purposes:
equivalent
rate
Greater

20. 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
unit ratio
The sum of all the integers from 20 to 100 - inclusive
The rule for adding negative integers is the same as the rule for adding positive integers:
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.

21. An angle that measures 180 degrees
rectangle
straight angle
Step 2 of Converting Improper Fractions to Mixed Numbers
Always completed first

22. Two angles whose sum equals 90 degrees
complementary angle
pentagon
commutative law of multiplication
Aliquot and Aliquant Parts

23. Two numbers listed in a specific order; it describes a point on the coordinate graph
parallelogram
ordered pair
reciprocal
farther to the right on the number line.

24. 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
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Sale Price - Unit Cost
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
octagon

25. The vertical number line of a coordinate graph
from left to right
x-axis
putting that number over 1
y-axis

26. A solid figure with two congruent and parallel circular bases
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
Same units
cylinder
The concept of trading decimal places and how it works

27. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
proper fraction
To add integers that have the same sign both positive or both negative:
How the Last Digit Shortcut works
Quantity

28. For there to be X unique factors of X - what must be true?
Zero (0)
Shift DP 2 places left
enclosing the numbers in a pair of vertical lines | |
Every integer between 1 and X - inclusive - must be a factor of X

29. The upper number in a fraction is the
numerator
Long Division
dividend
Increases the value.

30. What are the rules for picking numbers in VICS?
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
trapezoid
Magnitude
x-axis

31. Cross-multiply
To find out - easily - if one fraction is bigger than another
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
mode
perimeter

32. Method: convert Percent to Decimal?
Shift DP 2 places left
The height of a triangle
complementary angle
exactly the same portion

33. Unit Profit = ?
Decimals/Percents
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Sale Price - Unit Cost
reciprocal

34. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
rectangle
reflection
parallelogram

35. Adding integers that have the same sign means
mixed number
unit ratio
y-axis
both integers are positive or both are negative

36. All the positive whole numbers
integer values
Wage Rate ($ per hr) x Hrs worked
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
When numbers do not divide evenly

37. The result of dividing one number by another; the solution to a division problem
diameter
from left to right
quotient
Sale Price - Unit Cost

38. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Carry the 10's digit of the product to the top of the 10's column of factors.
Aliquant Part
Always completed first
When to use the Heavy Division Shortcut - and how to do it

39. Taken together - the multiplicand and multiplier are known as
factors of the multiplication operation
mean
equal to 1
Whole

40. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
hexagon
common factor
A plus sign (+) is used for two entirely different purposes:
2^3 = 8

41. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
When to use the Heavy Division Shortcut - and how to do it
Sale Price - Unit Cost
Aliquant Part
congruent

42. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
improper fraction
2
The Ratio of Any two of the following: Original - Change and New
x-axis

43. A collection of things taken as a Unity. A bushel of wheat is a whole.
0
quadrilateral
The rule for adding negative integers is the same as the rule for adding positive integers:
Whole

44. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
ratio
Decimals/Percents
inverse operations
Species

45. An angle that measures 90 degrees
product
right angle
multiplicand
The height of a triangle

46. A triangle with one right angle
Parts
right triangle
Reducing fractions
2

47. One of those primes must be the number __ ?
Inserting a zero at the right end of a whole number
Unknown quantities
A sum of 2 primes is Odd
scalene triangle

48. A fraction with a numerator that is larger than or equal to its denominator.
greatest common factor (GCF)
Odd
improper fraction
ratio

49. Always perform combinations of multiplication and division before
combination of addition and subtraction
How the Last Digit Shortcut works
Reducing fractions
from left to right

50. Any number with an exponent of 1
equal to itself.
lowercase Variables
Zero (0)
When the addends have the same sign both + or both -