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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.
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. Why are Even Exponents dangerous?
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
vertex (vertices - plural)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
lowest terms

2. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
scale drawing
Even - Odd or Non-Int
Step 1 of Converting mixed numbers to improper fractions

3. A mathematical sentence that uses an equal sign
To add integers that have the same sign both positive or both negative:
Is equal to the original value
Axiom VII.
equation

4. The numerator is greater than - or equal to - the denominator
Axiom VII.
reflection
The sum of all the integers from 20 to 100 - inclusive
improper fraction

5. A triangle with one right angle
right triangle
cylinder
Step 1 of Converting Improper Fractions to Mixed Numbers
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

6. The absolute value of numbers is indicated by
quadrant
Multitudes and Magnitudes
rhombus
enclosing the numbers in a pair of vertical lines | |

7. The distance around a figure
There are two parts in the procedure for subtracting signed integers:
cross product
perimeter
median

8. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Even and Odd
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
parallel lines
Greater

9. Includes an integer as well as a fractional part
mixed number
ordered pair
absolute value
Odd

10. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
mixed fraction
Even
simplify

11. Can have many different combinations of factors
Shift DP 2 places left
Composite number
Fractions allow you to plot values between whole numbers and integers.
ordered pair

12. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
'six cubed'
referred to the same Unit
Composite number

13. A number with an exponent of 3 is often said to be
angle
Positive-value integers
cubed
Even

14. An eight-sided polygon
octagon
Whole Numbers
supplementary angles
difference

15. Multiply both the numerator and denominator by the same integer value.
'five squared'
(Last - First + 1)
To convert any fraction to higher terms
Some integer/Some Power of 10

16. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
denominator
Change / Original Formula?
When the addends have opposite signs one is + and the other is -
A minus sign ( - ) is used for two entirely different purposes:

17. Adding integers that have opposite signs means
A sum of 2 primes is Odd
Carry the 10's digit of the product to the top of the 10's column of factors.
quotient
one is positive and the other is negative

18. By the first letters of the alphabet (a - b - c - d - etc..)
equal to itself.
Wage Rate ($ per hr) x Hrs worked
expression
Unknown quantities

19. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
divisor
Converting Improper Fractions to Mixed Numbers

20. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
Line Segments
Even
the same point on the number line

21. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
reduced fraction
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Terminating decimal
Even

22. A number that tells how many times the base is multiplied by itself
Increases the value.
Known (Given) and Unknown (Sought)
exponent
To make sure to solve for Both cases.

23. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
numerator
whether the addends have the same sign or opposite signs
Sum of Interior Angles of a Polygon: (n - 2) x 180
polygon

24. A fraction with all common factors (other than 1) factored out of the numerator and denominator
equal to itself.
Inserting a zero at the left end of a whole number
The Ratio of Any two of the following: Original - Change and New
lowest terms

25. 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.
the Complement of that part to the whole
whether the addends have the same sign or opposite signs
Even
prime factorization

26. Surface space that is measured in square units
order of operations
denominator
area
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

27. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
change the operation from subtraction to addition
Whole Numbers
x-axis

28. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
factoring
exponent
common factor

29. Whole is equal in Multitude to a Part of the other.
Axiom III.
they have the same absolute value
Equal
mixed fractions

30. The result of the multiplication is called the
product
Axiom II.
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
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

31. What are the only prime factors that a fraction resulting in a terminating decimals have?
y-coordinate
More
2 and/or 5 only
To add integers that have the same sign both positive or both negative:

32. 0 to any power is equal to
Species
Absolute and Relative
Equal
0

33. What is the formula for: The Area of a Triangle ?
Even div. by 4
1 and itself
A = (Base x Height) / 2 - A = (BH)/2
contains only a single number

34. A sign of grouping can be omitted when it
integer or whole number
Mathematics
contains only a single number
Fractions allow you to plot values between whole numbers and integers.

35. Reversed position or direction
prime number
Negative-value integers
inverse
common factor

36. An equation stating that two ratios are equal
proportion
Decimals/Percents
simplify
proper fraction

37. Includes an integer as well as a fractional part
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.
x-axis
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
mixed fraction

38. What is the perimeter of a Polygon?
right triangle
improper fraction
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
order of operations

39. What is the formula forCounting consecutive multiples?
quotient
Unity - or a Unit
mixed number
( (Last - First) / Increment ) + 1

40. Is equal to zero. 0 x a = 0
combination of addition and subtraction
scalene triangle
Odd or Non-Int
Zero multiplied by any value

41. What is the only Even prime number?
2
Axiom IV.
always clear the innermost groups first
percent

42. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
referred to Unity in the same way
Unit Price x Qty. Sold
inverse

43. Any value divided by one
similar figures
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
Is equal to the original value
Magnitude at Rest and Magnitude in Motion

44. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Adding negative integers will always produce a negative sum
Line Segments
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
To add integers that have the same sign (both positive or both negative):

45. The two kinds of Multitude
circumference
Positive-value integers
Absolute and Relative
(Last - First + 1)

46. 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
Negative-value integers
acute angle
Sale Price - Unit Cost
acute angle

47. An angle measuring more than zero degrees and less than 90 degrees
The height of a triangle
parallelogram
acute angle
product

48. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
product
scale drawing
combination of addition and subtraction
Line Segments

49. Total Earnings ($) = ?
when there are explicit or implicit equations in the problem:
Wage Rate ($ per hr) x Hrs worked
divisor
The bottom side of the triangle

50. 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:
mean
mixed fractions
right triangle

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CLEP General Mathematics: Arithmetic Basics

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