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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 solid figure that has triangles for its sides and a polygon as its base
Mathematics
similar figures
pyramid
A sum of 2 primes is Odd

2. 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.
rectangle
Converting mixed numbers to improper fractions.
divisor
integer values

3. Cross-multiply
expression
To find out - easily - if one fraction is bigger than another
commutative law of multiplication
When to use fractions

4. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
the same point on the number line
Odd
lowest terms

5. The lower number in a fraction is the
denominator
least common multiple (LCM)
'five squared'
Fractions allow you to plot values between whole numbers and integers.

6. When the product in the 1's column is greater than 9

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7. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
trapezoid
x/100
The rule for adding negative integers is the same as the rule for adding positive integers:

8. What are the properties of the diagonals of a Rhombus?
rectangle
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
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Axiom IV.

9. Change / Original Formula
equal to 1
Power notation
Change + - Original = New
parallelogram

10. An eight-sided polygon
common denominator
octagon
Non-Int
5/8

11. A quadrilateral with two pairs of congruent - parallel sides.
2^3 = 8
ratio
improper fraction
parallelogram

12. Odd +/- ____ = Odd
pi
Even
acute angle
reciprocal

13. What is the formula for: The Area of a Triangle ?
Number
A = (Base x Height) / 2 - A = (BH)/2
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
improper fraction

14. Two or more fractions that have the same denominator
Species
Shift DP 2 places right
like fractions
lowercase letters

15. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
axiom
supplementary angles
acute angle
improper fraction

16. The result of the multiplication is called the
median
product
the denominator of the original improper fraction
denominator

17. An equation stating that two ratios are equal
proportion
improper fraction
quadrilateral
cylinder

18. Is the disagreement of things in Quantity.
Inequality
congruent
octagon
theorem

19. The two kinds of Magnitude are
Aliquot and Aliquant Parts
absolute value
Even
Magnitude at Rest and Magnitude in Motion

20. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
x-coordinate
When the addends have the same sign both + or both -
Long Division
sample

21. An angle that measures 180 degrees
A = (Diagonal1 x Diagonal2) / 2
Revenue ($) - Cost ($)
commutative law of multiplication
straight angle

22. Whole is equal in Multitude to a Part of the other.
Equal
improper fraction
equilateral triangle
supplementary angles

23. The two kinds of Multitude
Absolute and Relative
always clear the innermost groups first
The rule for adding negative integers is the same as the rule for adding positive integers:
equilateral triangle

24. Zero divided by any whole number (except 0)
range
Inserting a zero at the left end of a whole number
To add integers that have the same sign (both positive or both negative):
Is zero

25. A mathematical sentence that uses an equal sign
equation
The Ratio of Any two of the following: Original - Change and New
To add integers that have the same sign (both positive or both negative):
rate

26. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
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
circumference
simplify
prime number

27. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
percent
The height of a triangle
diameter
Even

28. Rules that tell which steps to follow when solving an expression
Axiom V.
Converting Improper Fractions to Mixed Numbers
order of operations
base

29. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
2^3 = 8
Axiom III.
Axiom VI.
difference

30. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
octagon
1 - (y/100)
x-coordinate

31. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
'five squared'
similar figures
0.625
Unit Price x Qty. Sold

32. A polygon with six sides.
hexagon
A minus sign ( - ) is used for two entirely different purposes:
fraction or broken number
More

33. The number being multiplied is called the
base
divisor
multiplicand
reflection

34. 1 to any power is equal to
1
Converting Improper Fractions to Mixed Numbers
from left to right
the denominator of the original improper fraction

35. Total Earnings ($) = ?
contains only a single number
complementary angles
farther to the left on the number line
Wage Rate ($ per hr) x Hrs worked

36. A number that tells how many times the base is multiplied by itself
divisor
exponent
To add integers that have opposite signs:
mixed number

37. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
percent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
The bottom side of the triangle
There are two parts in the procedure for subtracting signed integers:

38. Even X Even = ? ... and is div. by ?
Percent Decrease Formula
numerator
Even div. by 4
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

39. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
product
More
proper fraction
radius

40. 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
x-axis
quotient
Quantity is expressed
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

41. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
parallel lines
Decimals/Percents
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
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

42. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
1
There are two parts in the procedure for subtracting signed integers:
Shift DP 2 places left
To add integers that have opposite signs:

43. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
circumference
factoring
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.
Aliquot Part

44. The whole is more or greater than its part.
Sale Price - Unit Cost
Axiom IV.
Species
When to use the Heavy Division Shortcut - and how to do it

45. Quantities which are both equal to one and the same third are equal to one another.
pi
Alternative to the algebraic manipulation method to solving a VIC
Axiom III.
Odd

46. TotalCost($) = ?

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47. If 2 numbers are OPPOSITES of each other
they have the same absolute value
Unit Price x Qty. Sold
parallel lines
When numbers do not divide evenly

48. The Sum of n consecutive integers is divisible by n if n is
To add integers that have the same sign (both positive or both negative):
product
enclosing the numbers in a pair of vertical lines | |
Odd

49. All whole numbers (both positive and negative) and zero.
mixed fraction
diameter
integers
Original x (1 - x/100) = New

50. The base of a triangle refers to?
Negative-value integers
absolute value
The bottom side of the triangle
More