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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. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
proper fractions
radius
probability
UnitPrice ($/unit) x Qty.Purchas'd (units)

2. A polygon that has four sides.
quadrilateral
x/100
Inserting a zero at the left end of a whole number
mixed number

3. A triangle with one right angle
Axiom IV.
Negative-value integers
right triangle
percent

4. An angle measuring more than zero degrees and less than 90 degrees
numerator
acute angle
ratio
1

5. A fraction with a numerator that is larger than or equal to its denominator.
before solving
numerator
improper fraction
(Last - First + 1)

6. A combination of numbers and variables connected by one or more operations signs
1
Inserting a zero at the right end of a whole number
expression
enclosing the numbers in a pair of vertical lines | |

7. 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
they have the same absolute value
octagon
Even
2^3 = 8

8. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
proper fraction
congruent
perimeter
Inserting a zero at the right end of a whole number

9. No integer (except 1) that divides evenly into both the numerator and denominator.
percent
A = (Base x Height) / 2 - A = (BH)/2
reduced fraction
Is zero

10. One number is said to be less than (<) another when it is
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
farther to the left on the number line
y-axis
proper fraction

11. Things are Equal in Multitude when they are
Every integer between 1 and X - inclusive - must be a factor of X
difference
referred to Unity in the same way
Number Systems

12. Species and Number may be
Odd or Non-Int
reciprocal
To add integers that have the same sign (both positive or both negative):
Homogenous or Heterogenous

13. Change + - Original = New
Change / Original Formula?
Axiom II.
equivalent
reflection

14. A fraction with all common factors (other than 1) factored out of the numerator and denominator
1
whether the addends have the same sign or opposite signs
parallelogram
lowest terms

15. The absolute value of numbers is indicated by
Aliquant Part
commutative law of multiplication
when there are explicit or implicit equations in the problem:
enclosing the numbers in a pair of vertical lines | |

16. Total Earnings ($) = ?
1 and itself
Wage Rate ($ per hr) x Hrs worked
Sale Price - Unit Cost
x-axis

17. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
scalene triangle
supplementary angles
Axiom IX.

18. Cross-multiply
acute angle
To find out - easily - if one fraction is bigger than another
simplify
dividing the numerator and denominator by the same number

19. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
unit ratio
composite number
Quantity is expressed
change the operation from subtraction to addition

20. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
sum
Zero (0)
Always completed first

21. When will a decimal Not terminate and why?
Reducing: The Brute-Force Method
To square an equation to solve it
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
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.

22. Decreasing the Denominator of a fraction Increases/Decreases the value?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Increases the value.
Unit Cost + Markup
combination of addition and subtraction

23. A ratio that shows the cost per unit of measure
unit ratio
Wage Rate ($ per hr) x Hrs worked
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Species

24. Every quantity is equal to itself.
factors of the multiplication operation
right triangle
Axiom II.
circumference

25. 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
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.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Equality
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

26. In a group of values - the value that occurs most often
integers
perimeter
area
mode

27. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
0.625
Unit Cost + Markup
To square an equation to solve it
Axiom VII.

28. The vertical number line of a coordinate graph
Axiom V.
y-axis
When to use fractions
x = (+-) a

29. The two kinds of parts
When to use fractions
5/8
Aliquot and Aliquant Parts
least common multiple (LCM)

30. In order to understand and use exponents that are fractions or decimals - you must first know about
Whole Numbers
lowest terms
cross product
roots of numbers

31. What are the 3 main formulaic properties of evenly-spaced sets?
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
pyramid
Terminating decimal
When you are absolutely sure the variable or expression <> 0

32. 1 to any power is equal to
1
Step 1 of Converting Improper Fractions to Mixed Numbers
Absolute and Relative
The concept of trading decimal places and how it works

33. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
The concept of trading decimal places and how it works
y-axis
Reducing by the Largest Common Factor (LCF)

34. A value such as 6^3 can described as

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35. Species of Quantities are signified by
probability
Different Units
area
lowercase letters

36. Has no sign value
Zero (0)
improper fraction
Axiom IV.
contains only a single number

37. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
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
2^3 = 8
Step 1 of Converting Improper Fractions to Mixed Numbers
Sale Price - Unit Cost

38. Quantities which are both equal to one and the same third are equal to one another.
roots of numbers
To find out - easily - if one fraction is bigger than another
Decreases
Axiom III.

39. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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40. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Inequality
Shift DP 2 places left
vertex (vertices - plural)
Negative-value integers

41. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
There are two parts in the procedure for subtracting signed integers:
Odd
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
rectangle

42. Two angles whose sum is 180 degrees
Evaluating Powers With Negative Exponents
supplementary angles
integers
The height of a triangle

43. The base of a triangle refers to?
The bottom side of the triangle
0.625
equation
More

44. Any number with a negative exponent
equal to 1 divided by that number with a positive exponent
mixed number
Unit Price x Qty. Sold
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.

45. A parallelogram with all sides equal and congruent
product
rhombus
the denominator of the original improper fraction
Axiom VII.

46. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
theorem
ratio
Proof
( (Last - First) / Increment ) + 1

47. The denominator of the fraction part of the mixed number is
There are two parts in the procedure for subtracting signed integers:
the denominator of the original improper fraction
Subtracting Signed Integers
multiplicand

48. Unit Profit = ?
Sale Price - Unit Cost
Zero (0)
parallel lines
improper fractions

49. .625 --> Percent?
Line Segments
62.5%
A plus sign (+) is used for two entirely different purposes:
The rule for adding negative integers is the same as the rule for adding positive integers:

50. The study of quantity
unit ratio
x-axis
Mathematics
absolute value