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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. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Step 2 of Converting mixed numbers to improper fractions
Proof

2. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
To add integers that have the same sign (both positive or both negative):
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
referred to Unity in the same way
composite number

3. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
dividing the numerator and denominator by the same number
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
To add integers that have opposite signs:
the denominator of the original improper fraction

4. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
multiplicand
cross product
Revenue ($) - Cost ($)
More

5. What are the 2 'percent change' equations?
Arithmetic - Music - Geometry and Astronomy
y-axis
Unit Price x Qty. Sold
Original + Change = New Change/Original = Percent Change

6. The ratio of a number to 100 (per one hundred). The symbol %
Even and Odd
Even
axiom
percent

7. Species of Quantities are signified by
Composite number
The concept of trading decimal places and how it works
divisor
lowercase letters

8. A quadrilateral with one pair of parallel sides
trapezoid
acute angle
inverse
Step 1 of Converting Improper Fractions to Mixed Numbers

9. Adding integers that have opposite signs means
Unit Cost + Markup
product
one is positive and the other is negative
1

10. An angle that measures 180 degrees
straight angle
prism
Axiom IX.
mode

11. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Step 2 of Converting Improper Fractions to Mixed Numbers
numerator
mixed number

12. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Aliquot and Aliquant Parts
change the operation from subtraction to addition
area
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?

13. A quadrilateral with two pairs of congruent - parallel sides.
cross product
parallelogram
circumference
A = (Diagonal1 x Diagonal2) / 2

14. Any value divided by one
putting that number over 1
complementary angles
Is equal to the original value
cylinder

15. The two kinds of Multitude
octagon
Revenue ($) - Cost ($)
Absolute and Relative
(Last - First + 1)

16. Reducing fractions is
proportion
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Any value multiplied by one
dividing the numerator and denominator by the same number

17. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
vertex (vertices - plural)
quotient
To add integers that have the same sign both positive or both negative:
How the Last Digit Shortcut works

18. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
When the addends have the same sign both + or both -
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
x-coordinate

19. The Sum of n consecutive integers is divisible by n if n is
percent
Odd
range
Terminating decimal

20. Things are Equal in Multitude when they are
quadrilateral
The concept of trading decimal places and how it works
proportion
referred to Unity in the same way

21. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
More
Is zero
Both
median

22. 3/2 - 8/3 - -16/5 - 7/7
Every integer between 1 and X - inclusive - must be a factor of X
improper fractions
Composite number
farther to the left on the number line

23. A number with an exponent of 2 is often said to be
complementary angles
squared
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Power notation

24. The numerator is greater than - or equal to - the denominator
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
whether the addends have the same sign or opposite signs
improper fraction
equal to itself.

25. Signs of grouping may be nested
Step 1 of Converting mixed numbers to improper fractions
Alternative to the algebraic manipulation method to solving a VIC
angle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

26. Total Sales or Revenue = ?
Unit Price x Qty. Sold
fraction or broken number
Both
Multitude

27. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
mean
Change / Original Formula?
commutative law of multiplication

28. Every quantity is equal to itself.
To square an equation to solve it
rectangle
Axiom II.
ratio

29. A mirror image of a figure shown over a line of reflection
Negative-value integers
reflection
Whole Numbers
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

30. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
5/8
order of operations
lowest terms
Multitude

31. 1/2 - 1/3 - 2/3 - -5/8
exponent
area
proper fractions
Sale Price - Unit Cost

32. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
One... the number 2
Shift DP 2 places right
exponent
The rule for adding negative integers is the same as the rule for adding positive integers:

33. Rules that tell which steps to follow when solving an expression
parallelogram
higher terms
order of operations
dividing the numerator and denominator by the same number

34. One number is said to be greater than (>) another when it is
farther to the right on the number line.
order of operations
Revenue ($) - Cost ($)
Is equal to the original value

35. Change + - Original = New
Revenue ($) - Cost ($)
Unknown quantities
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.
Change / Original Formula?

36. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
proportion
similar figures
Subtracting Signed Integers

37. Operations enclosed in a sign of grouping
factoring
ratio
1 - (y/100)
Always completed first

38. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
simplify
equal to 1
Whole

39. Includes an integer as well as a fractional part
mixed fraction
denominator
least common multiple (LCM)
unit ratio

40. In order to understand and use exponents that are fractions or decimals - you must first know about
quadrilateral
Converting Improper Fractions to Mixed Numbers
roots of numbers
mixed fraction

41. An angle that measures 90 degrees
greatest common factor (GCF)
right angle
farther to the left on the number line
Multitude

42. Having the same size and shape
congruent
obtuse angle
Step 1 of Converting mixed numbers to improper fractions
Quantity is expressed

43. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Even
prime number
integer or whole number
circumference

44. The horizontal number line of a coordinate graph
Positive-value integers
There are two parts in the procedure for subtracting signed integers:
x-axis
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

45. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Unit Cost + Markup
pi
Magnitude at Rest and Magnitude in Motion
Evaluating Powers With Negative Exponents

46. Surface space that is measured in square units
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Both
quotient
area

47. Profit = ?
denominator
Axiom III.
Revenue ($) - Cost ($)
Axiom X.

48. 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
There are two parts in the procedure for subtracting signed integers:
quadrilateral
To add integers that have the same sign both positive or both negative:
x-axis

49. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
2
Odd or Non-Int
When the addends have the same sign both + or both -
The rule for adding negative integers is the same as the rule for adding positive integers:

50. 1 to any power is equal to
1
denominator
ratio
common denominator