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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. 0.625 --> Fraction ?
5/8
To add integers that have the same sign (both positive or both negative):
vertex (vertices - plural)
quotient

2. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
base
factoring
To find out - easily - if one fraction is bigger than another

3. A self-evident statement - that is - one that does not need to be demonstrated.
rectangle
Aliquant Part
Some integer/Some Power of 10
axiom

4. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
y-axis
when there are explicit or implicit equations in the problem:
both integers are positive or both are negative
( (Last - First) / Increment ) + 1

5. Species and Number may be
Odd
Homogenous or Heterogenous
More
Every integer between 1 and X - inclusive - must be a factor of X

6. The sum of a group of numbers divided by the number of numbers; also known as the average
quadrilateral
mean
pi
Axiom VIII.

7. A mirror image of a figure shown over a line of reflection
one is positive and the other is negative
reflection
mixed number
inverse operations

8. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
Shift DP 2 places right
Change / Original Formula?
x-axis

9. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
To add integers that have the same sign (both positive or both negative):
y-coordinate
median
pentagon

10. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
Inserting a zero at the left end of a whole number
polygon
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

11. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
Long Division
lowercase letters
Unit Price x Qty. Sold

12. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
circumference
The concept of trading decimal places and how it works
difference
cross product

13. The distance around a figure.
greatest common factor (GCF)
trapezoid
To add integers that have opposite signs:
perimeter

14. Having the same value
right angle
composite number
equivalent
common denominator

15. A parallelogram with all sides equal and congruent
factoring
rhombus
Axiom V.
Axiom II.

16. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Axiom V.
Sum of Interior Angles of a Polygon: (n - 2) x 180
Is equal to the original value
(Last - First + 1)

17. 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
farther to the left on the number line
angle
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?
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

18. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
multiplier
integers
Odd or Non-Int

19. 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
Wage Rate ($ per hr) x Hrs worked
Mathematics
To square an equation to solve it

20. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
1
62.5%
Axiom II.

21. A triangle with two equal sides and two equal angles
isosceles triangle
Axiom IV.
Quantity is expressed
The bottom side of the triangle

22. A combination of numbers and variables connected by one or more operations signs
expression
Some integer/Some Power of 10
percent
Odd

23. What is the only Even prime number?
Sale Price - Unit Cost
2
cylinder
absolute value

24. A known quantity we refer to as One.
Unity - or a Unit
quotient
Absolute and Relative
y-coordinate

25. 'y percent less than' = ?
proper fraction
Even
area
1 - (y/100)

26. In a division problem - the number that an amount is divided by
divisor
square root
multiplicand
circumference

27. If 2 numbers are OPPOSITES of each other
they have the same absolute value
improper fraction
divisor
Terminating decimal

28. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Zero (0)
Unit Price x Qty. Sold
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
When to use the Heavy Division Shortcut - and how to do it

29. A parallelogram with four right angles
rectangle
How the Last Digit Shortcut works
improper fraction
circumference

30. An angle measuring more than 90 degrees and less than 180 degrees
sum
obtuse angle
A = (Base x Height) / 2 - A = (BH)/2
Is equal to the original value

31. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Sum of Interior Angles of a Polygon: (n - 2) x 180
To square an equation to solve it
(Last - First + 1)
factoring

32. All the positive whole numbers
reciprocal
integer values
hexagon
Even

33. The distance around a circle (the perimeter of a circle).
Odd
median
circumference
y-coordinate

34. Species of Quantities are signified by
unit ratio
'six cubed'
lowercase letters
Percent Decrease Formula

35. A polygon with six sides.
proper fraction
prism
Parts
hexagon

36. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Negative-value integers
Evaluating Powers With Negative Exponents
Known (Given) and Unknown (Sought)

37. In a division problem - it's the number being divided
product
quotient
Step 2 of Converting Improper Fractions to Mixed Numbers
dividend

38. What is the formula forCounting consecutive multiples?
rectangle
integer values
( (Last - First) / Increment ) + 1
Axiom VI.

39. A quadrilateral with two pairs of congruent - parallel sides
Evaluating Powers With Negative Exponents
parallelogram
Step 2 of Converting Improper Fractions to Mixed Numbers
farther to the right on the number line.

40. Lines in the same plane that do not intersect. The symbol //
A = (Base x Height) / 2 - A = (BH)/2
Species
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
parallel lines

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

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42. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
Positive-value integers
Even and Odd
product

43. Why are Even Exponents dangerous?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
referred to the same Unit
rhombus

44. 1/2 - 1/3 - 2/3 - -5/8
mixed fraction
divisor
Wage Rate ($ per hr) x Hrs worked
proper fractions

45. Any number with an exponent of 1
ordered pair
higher terms
equal to itself.
To add integers that have the same sign (both positive or both negative):

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

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47. The Sum of n consecutive integers is Not divisible by n if n is
5/8
mixed number
Even
Parts

48. 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
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Equality
one is positive and the other is negative

49. The smallest multiple that two or more numbers have in common
Multitudes and Magnitudes
least common multiple (LCM)
Step 2 of Converting Improper Fractions to Mixed Numbers
composite number

50. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Positive-value integers
quadrilateral
reciprocal
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