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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. Always try to Factor a quadratic equation
Magnitude at Rest and Magnitude in Motion
pentagon
The Ratio of Any two of the following: Original - Change and New
before solving

2. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Quantity is expressed
proper fractions
Magnitude
Even or Non-Int

3. The two kinds of parts
Aliquot and Aliquant Parts
integers
complementary angles
Carry the 10's digit of the product to the top of the 10's column of factors.

4. The two kinds of Magnitude are
Magnitude at Rest and Magnitude in Motion
congruent
Number
contains only a single number

5. Includes an integer as well as a fractional part
mixed number
Inserting a zero at the right end of a whole number
circumference
Proof

6. Factors may be multiplied in any order.
they have the same absolute value
integers
product
commutative law of multiplication

7. What are the rules for picking numbers in VICS?
greatest common factor (GCF)
right triangle
Terminating decimal
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

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

9. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
supplementary angles
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?
parallelogram

10. The whole is equal to all of its parts taken together.
radius
1
A = (Base x Height) / 2 - A = (BH)/2
Axiom V.

11. A unit for measuring area
Even
Even
( (Last - First) / Increment ) + 1
square unit

12. A number that is a factor of two or more numbers.
angle
octagon
common factor
x = (+-) a

13. Species are distinguished into
Known (Given) and Unknown (Sought)
rhombus
Aliquot Part
quotient

14. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
Step 1 of Converting Improper Fractions to Mixed Numbers
equilateral triangle
improper fraction

15. For there to be X unique factors of X - what must be true?
quotient
Every integer between 1 and X - inclusive - must be a factor of X
divisor
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi

16. When will a decimal Not terminate and why?
proper fractions
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Power notation

17. Total Earnings ($) = ?
octagon
sum
Reducing fractions
Wage Rate ($ per hr) x Hrs worked

18. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
2
reciprocal
Sale Price - Unit Cost
common factor

19. The distance around a circle (the perimeter of a circle).
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.
circumference
proportion
dividend

20. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
Even
Whole
mean

21. 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
'five squared'
quadrilateral
When to use fractions
square unit

22. All whole numbers (both positive and negative) and zero.
exactly the same portion
exponent
integers
A minus sign ( - ) is used for two entirely different purposes:

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

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24. The vertical number line of a coordinate graph
Some integer/Some Power of 10
Axiom IV.
2
y-axis

25. The base of a triangle refers to?
The Ratio of Any two of the following: Original - Change and New
simplify
A minus sign ( - ) is used for two entirely different purposes:
The bottom side of the triangle

26. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
'five squared'
denominator
combination of addition and subtraction
multiplicand

27. 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:
common denominator
A plus sign (+) is used for two entirely different purposes:
rate

28. One number is said to be less than (<) another when it is
both integers are positive or both are negative
ratio
farther to the left on the number line
Odd

29. The Sum of n consecutive integers is divisible by n if n is
improper fractions
pyramid
Odd
difference

30. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
change the operation from subtraction to addition
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
straight angle
Same units

31. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
when there are explicit or implicit equations in the problem:
the Complement of that part to the whole
2
Positive-value integers

32. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Different Units
Even
The rule for adding negative integers is the same as the rule for adding positive integers:
simplify

33. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
( (Last - First) / Increment ) + 1
prime number
Odd or Non-Int
they have the same absolute value

34. What are the only prime factors that a fraction resulting in a terminating decimals have?
quadrant
To find out - easily - if one fraction is bigger than another
2 and/or 5 only
reflection

35. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
Carry the 10's digit of the product to the top of the 10's column of factors.
vertex (vertices - plural)
absolute value
Odd

36. Operations enclosed in a sign of grouping
Always completed first
A plus sign (+) is used for two entirely different purposes:
complementary angles
2 and/or 5 only

37. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
exponent
Wage Rate ($ per hr) x Hrs worked
x/100

38. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
integers
product
Converting Improper Fractions to Mixed Numbers

39. The exact procedure for adding signed integers depends upon
reciprocal
whether the addends have the same sign or opposite signs
Original x (1 - x/100) = New
referred to Unity in the same way

40. Total Sales or Revenue = ?
both integers are positive or both are negative
Unit Price x Qty. Sold
equivalent
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi

41. ' x percent' = ?
perimeter
parallelogram
mixed number
x/100

42. What are the 2 'percent change' equations?
diameter
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
common denominator
Original + Change = New Change/Original = Percent Change

43. Everything may be assumed as unity.
Axiom IV.
common denominator
Axiom I.
quadrilateral

44. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
polygon
factors of the multiplication operation
A plus sign (+) is used for two entirely different purposes:

45. The difference between the least and greatest values in a set of numbers
range
Unit Price x Qty. Sold
Odd
multiplicand

46. The process of breaking a number down into its factors is called
divisor
prism
factoring
Composite number

47. The whole-number part of the mixed number is the whole-number part of the
2^3 = 8
Fractions allow you to plot values between whole numbers and integers.
quotient
Odd

48. Has no sign value
exactly the same portion
Zero (0)
ratio
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

49. All the positive whole numbers
Axiom II.
factor
mixed fractions
integer values

50. Having the same size and shape
congruent
contains only a single number
exactly the same portion
lowercase letters