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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 Sum of n consecutive integers is Not divisible by n if n is
Axiom III.
Change + - Original = New
Step 1 of Converting mixed numbers to improper fractions
Even

2. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Revenue ($) - Cost ($)
The Ratio of Any two of the following: Original - Change and New
reciprocal
1 and itself

3. The smallest multiple that two or more numbers have in common
Quantity is expressed
Axiom IV.
prism
least common multiple (LCM)

4. Having the same value
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
integer values
equivalent
scalene triangle

5. The exact procedure for adding signed integers depends upon
equal to itself.
whether the addends have the same sign or opposite signs
Quantity is expressed
1

6. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
roots of numbers
Axiom IV.
mixed number

7. 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
Step 2 of Converting Improper Fractions to Mixed Numbers
Positive-value integers
order of operations
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ

8. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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9. The denominator of the fraction part of the mixed number is
dividend
perimeter
Even - Odd or Non-Int
the denominator of the original improper fraction

10. Every quantity is equal to itself.
When you are absolutely sure the variable or expression <> 0
Axiom II.
Axiom VIII.
Different Units

11. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Aliquot Part
Inserting a zero at the right end of a whole number
lowercase letters
supplementary angles

12. One of those primes must be the number __ ?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
A sum of 2 primes is Odd
2
Equality

13. An angle that measures 90 degrees
right angle
Aliquot Part
angle
x-axis

14. The study of quantity
acute angle
Odd
Mathematics
divisor

15. A number that is a factor of two or more numbers.
proportion
common factor
order of operations
Odd

16. 1/2 - 1/3 - 2/3 - -5/8
Terminating decimal
enclosing the numbers in a pair of vertical lines | |
A plus sign (+) is used for two entirely different purposes:
proper fractions

17. A ratio that compares two different types of quantities
rate
putting that number over 1
mixed fraction
equal to 1

18. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
area
pi
right triangle
Negative-value integers

19. 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
Power notation
parallelogram
Original x (1 - x/100) = New

20. The ratio of integers that results in a terminating decimal
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
prime factors
Some integer/Some Power of 10
commutative law of multiplication

21. By the last letters (u - x - y - etc.)
equal to 1
Aliquant Part
Known quantities
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

22. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
( (Last - First) / Increment ) + 1
Increases the value.
area

23. When working with nested signs of grouping
Step 1 of Converting Improper Fractions to Mixed Numbers
always clear the innermost groups first
Axiom X.
dividend

24. The distance around a figure
prime factors
product
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
perimeter

25. 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
Known (Given) and Unknown (Sought)
2
similar figures
Being divided by a power of 10

26. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
square root
The concept of trading decimal places and how it works
Same units
Every integer between 1 and X - inclusive - must be a factor of X

27. Decreasing the Denominator of a fraction Increases/Decreases the value?
Increases the value.
range
Odd or Non-Int
Aliquot and Aliquant Parts

28. 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
2^3 = 8
pi
Change / Original Formula?
Step 1 of Converting mixed numbers to improper fractions

29. A polygon with five sides
pentagon
Mathematics
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
expression

30. Is the opposite of raising fractions to higher terms.
factor
Terminating decimal
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
Reducing fractions

31. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
complementary angle
range
Odd or Non-Int
Odd

32. A line segment that passes through the center of a circle and has its endpoints on the circle
y-axis
Percent Change
diameter
1

33. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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34. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
When the addends have opposite signs one is + and the other is -
When to use fractions
Odd
Species

35. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
To make sure to solve for Both cases.
mean
the denominator of the original improper fraction

36. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
change the operation from subtraction to addition
supplementary angles
Axiom III.
like fractions

37. Method: convert Decimal to Percent?
Shift DP 2 places right
Absolute and Relative
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Evaluating Powers With Negative Exponents

38. TotalCost($) = ?

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39. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
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
the denominator of the original improper fraction
ordered pair
Number

40. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
62.5%
from left to right
Axiom X.
To add integers that have the same sign (both positive or both negative):

41. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Shift DP 2 places right
always clear the innermost groups first
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

42. In a group of values - the value that occurs most often.
Multitude
quotient
mode
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.

43. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
simplify
Unknown quantities
perimeter

44. The number to be multiplied by is called the
product
multiplier
To add integers that have opposite signs:
The Decimal Numbering System

45. Any value divided by one
x/100
Absolute and Relative
Is equal to the original value
factor

46. The method for indicating the power of a number
To add integers that have opposite signs:
the same point on the number line
multiplicand
Power notation

47. An eight-sided polygon
Quantity
quadrilateral
octagon
exponent

48. Even X Even = ? ... and is div. by ?
prime factorization
Even div. by 4
Shift DP 2 places left
fraction or broken number

49. The figure formed when two rays meet at a common endpoint called a vertex.
A sum of 2 primes is Odd
circumference
Greater
angle

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

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CLEP General Mathematics: Arithmetic Basics

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