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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. An equation stating that two ratios are equal
Even
Equality
proportion
Even or Non-Int

2. Original x (1 - x/100) = New
Percent Decrease Formula
Shift DP 2 places right
prime number
diameter

3. One of the four regions formed by the intersection of the axes of a coordinate graph
0
quadrant
Sale Price - Unit Cost
lowercase Variables

4. The whole is more or greater than its part.
y-coordinate
Axiom IV.
Quantity is expressed
Axiom VIII.

5. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
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
reciprocal
Even or Non-Int
Equality

6. The numerator of the fraction part of the mixed number is the remainder from the
proportion
1 - (y/100)
unit ratio
quotient

7. The largest integer that can be divided evenly into both the numerator and denominator.
integer values
prime number
Reducing by the Largest Common Factor (LCF)
(Last - First + 1)

8. The two kinds of Quantity are
Multitudes and Magnitudes
like 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.
When to use fractions

9. Is equal to zero. 0 x a = 0
lowercase Variables
Number Systems
mean
Zero multiplied by any value

10. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
reciprocal
Step 2 of Converting Improper Fractions to Mixed Numbers
Terminating decimal
Odd

11. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Axiom V.
2

12. The terms Species and Number
simplify
Quantity is expressed
area
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

13. A ratio that shows the cost per unit of measure
A = (D1 x D2) / 2
Composite number
y-coordinate
unit ratio

14. The lower number in a fraction is the
Arithmetic - Music - Geometry and Astronomy
supplementary angles
denominator
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

15. Rules that tell which steps to follow when solving an expression.
rhombus
proper fractions
order of operations
Sale Price - Unit Cost

16. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
higher terms
reciprocal
Positive-value integers
Reducing fractions

17. 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.
Percent Decrease Formula
unit ratio
Reducing: The Brute-Force Method
There are two parts in the procedure for subtracting signed integers:

18. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
x = (+-) a
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
Revenue ($) - Cost ($)
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.

19. An evenly-spaced set is fully-defined if what is known...?
The concept of trading decimal places and how it works
scalene triangle
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
dividing the numerator and denominator by the same number

20. A triangle with two equal sides and two equal angles
isosceles triangle
farther to the left on the number line
percent
0

21. Is the opposite of raising fractions to higher terms.
polygon
Alternative to the algebraic manipulation method to solving a VIC
Reducing fractions
Odd

22. The two kinds of Magnitude are
the denominator of the original improper fraction
When numbers do not divide evenly
Magnitude at Rest and Magnitude in Motion
radius

23. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
scale drawing
Relative multitude
equal to 1
Decimals/Percents

24. A mirror image of a figure shown over a line of reflection
improper fraction
the denominator of the original improper fraction
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
reflection

25. The numerator is greater than - or equal to - the denominator
squared
improper fraction
Step 2 of Converting mixed numbers to improper fractions
Axiom VIII.

26. No integer (except 1) that divides evenly into both the numerator and denominator.
1
reduced fraction
Axiom IV.
proper fractions

27. The Only possible factors for a prime number are
scalene triangle
1 and itself
Terminating decimal
When numbers do not divide evenly

28. Change / Original Formula
like fractions
angle
Change + - Original = New
2

29. The result of dividing one number by another; the solution to a division problem
Odd
Shift DP 2 places left
quotient
right triangle

30. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
median
integer or whole number
Wage Rate ($ per hr) x Hrs worked
mode

31. Is Always perpendicular (at 90 deg. to) the base!
reflection
The height of a triangle
greatest common factor (GCF)
absolute value

32. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
quadrilateral
5/8
common denominator
pi

33. Breaking down a composite number until all of the factors are prime
enclosing the numbers in a pair of vertical lines | |
prime factorization
0.625
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?

34. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
1
quotient
scalene triangle

35. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
congruent
(Last - First + 1)

36. When will a decimal Not terminate and why?
mean
pyramid
rectangle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

37. Adding integers that have the same sign means
square unit
quadrilateral
Axiom IV.
both integers are positive or both are negative

38. Method: convert Decimal to Percent?
Shift DP 2 places right
Converting Improper Fractions to Mixed Numbers
y-axis
vertex (vertices - plural)

39. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
ratio
radius
acute angle
Every integer between 1 and X - inclusive - must be a factor of X

40. A polygon with six sides.
Greater
hexagon
Even div. by 4
sample

41. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
farther to the right on the number line.
numerator
Even
ratio

42. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Is zero
1 - (y/100)
Even
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

43. Are those things collected in a whole.
To add integers that have the same sign (both positive or both negative):
Whole Numbers
To add integers that have opposite signs:
Parts

44. A whole number that has only one set of factors - itself and 1.
mode
prime number
dividend
Even

45. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
hexagon
Aliquant Part
Known quantities
Odd

46. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Line Segments
Step 1 of Converting Improper Fractions to Mixed Numbers
Step 2 of Converting Improper Fractions to Mixed Numbers
farther to the right on the number line.

47. 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
acute angle
When to use fractions
Every integer between 1 and X - inclusive - must be a factor of X
multiplier

48. A comparison of the two values of two numbers
ratio
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
Axiom II.
A sum of 2 primes is Odd

49. What is the formula forCounting consecutive multiples?
product
( (Last - First) / Increment ) + 1
Every integer between 1 and X - inclusive - must be a factor of X
1

50. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
from left to right
farther to the left on the number line
equal to 1
To square an equation to solve it