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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. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Converting mixed numbers to improper fractions.
Even

2. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
right angle
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
x-coordinate

3. The result of multiplying two or more numbers.
Different Units
when there are explicit or implicit equations in the problem:
product
Odd

4. The difference between the least and greatest values in a set of numbers
Any value multiplied by one
scalene triangle
quadrilateral
range

5. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
Adding negative integers will always produce a negative sum
reduced fraction
referred to the same Unit

6. What are the 2 'percent change' equations?
order of operations
Even
area
Original + Change = New Change/Original = Percent Change

7. What is the formula forCounting consecutive integers?
(Last - First + 1)
unit ratio
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
area

8. Odd x ? = Even
Long Division
mixed number
Even
Relative multitude

9. Reducing fractions is
Reducing: The Brute-Force Method
always clear the innermost groups first
probability
dividing the numerator and denominator by the same number

10. 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
difference
prime number
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.
Adding negative integers will always produce a negative sum

11. The absolute value of the numerator is smaller than the absolute value of the denominator.
numerator
proper fraction
area
inverse operations

12. Method: convert Percent to Decimal?
Shift DP 2 places left
multiplier
Composite number
Axiom IV.

13. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Step 1 of Converting mixed numbers to improper fractions
similar figures
To add integers that have opposite signs:
Even

14. Multiply both the numerator and denominator by the same integer value.
inverse
complementary angle
Axiom IX.
To convert any fraction to higher terms

15. Species and Number may be
order of operations
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
Homogenous or Heterogenous
The concept of trading decimal places and how it works

16. The number being multiplied is called the
Known quantities
supplementary angles
multiplicand
farther to the right on the number line.

17. Original x (1 - x/100) = New
'six cubed'
farther to the right on the number line.
2 and/or 5 only
Percent Decrease Formula

18. Lines in the same plane that do not intersect. The symbol //
UnitPrice ($/unit) x Qty.Purchas'd (units)
parallel lines
hexagon
5/8

19. A polygon with six sides.
hexagon
dividend
exponent
2 and/or 5 only

20. 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:
Inserting a zero at the right end of a whole number
Wage Rate ($ per hr) x Hrs worked
0

21. Odd +/- ____ = Odd
Long Division
squared
mode
Even

22. A triangle with two equal sides and two equal angles
Axiom II.
isosceles triangle
A = (Diagonal1 x Diagonal2) / 2
congruent

23. Is equal to the original value. a x 1 = 1
combination of addition and subtraction
Any value multiplied by one
squared
Line Segments

24. Two numbers listed in a specific order; it describes a point on the coordinate graph
perimeter
trapezoid
Known (Given) and Unknown (Sought)
ordered pair

25. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
percent
Species
lowercase Variables

26. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
A = (Diagonal1 x Diagonal2) / 2
Magnitude
Axiom III.
quotient

27. 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
Arithmetic - Music - Geometry and Astronomy
prime factors
2
before solving

28. The Sum of n consecutive integers is Not divisible by n if n is
x-coordinate
Even
Axiom V.
one is positive and the other is negative

29. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Fractions allow you to plot values between whole numbers and integers.
expression
y-coordinate

30. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
multiplicand
Terminating decimal
Even or Non-Int
Magnitude

31. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
change the operation from subtraction to addition
mean
The Decimal Numbering System
To make sure to solve for Both cases.

32. A known quantity we refer to as One.
To add integers that have the same sign both positive or both negative:
Unity - or a Unit
like fractions
proper fraction

33. The whole-number system uses only ten characters -0 through 9.
Original + Change = New Change/Original = Percent Change
y-coordinate
The Decimal Numbering System
isosceles triangle

34. A number with an exponent of 2 is often said to be
squared
product
change the operation from subtraction to addition
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

35. One of the four regions formed by the intersection of the axes of a coordinate graph
Terminating decimal
Wage Rate ($ per hr) x Hrs worked
quadrant
Even

36. Any number with an exponent of 0
x-coordinate
equal to 1
A minus sign ( - ) is used for two entirely different purposes:
probability

37. All whole numbers (both positive and negative) and zero.
complementary angles
integers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
the denominator of the original improper fraction

38. Two angles whose sum is 180 degrees
farther to the right on the number line.
complementary angles
supplementary angles
ratio

39. Are those things collected in a whole.
square root
isosceles triangle
diameter
Parts

40. Indicates the number of times the base is to be multiplied
exponent
putting that number over 1
Step 1 of Converting Improper Fractions to Mixed Numbers
Unit Price x Qty. Sold

41. Operations enclosed in a sign of grouping
Always completed first
Parts
cubed
Computation

42. Total Sales or Revenue = ?
pentagon
Unit Price x Qty. Sold
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Axiom IX.

43. Change/Original = New
unit ratio
Known quantities
Even
Percent Change

44. Species of Quantities are signified by
simplify
lowercase letters
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
A sum of 2 primes is Odd

45. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Homogenous or Heterogenous
factor
Positive-value integers

46. Always perform the operations
from left to right
Zero multiplied by any value
product
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

47. The horizontal number line of a coordinate graph
percent
A sum of 2 primes is Odd
x-axis
pentagon

48. An equation stating that two ratios are equal
Number Systems
proportion
Even
Converting mixed numbers to improper fractions.

49. Anything that may be increased or diminished
product
2 and/or 5 only
Quantity
1

50. Unit Profit = ?
always clear the innermost groups first
circumference
Sale Price - Unit Cost
Odd