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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. 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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2. The four Mathematical arts are:
When the addends have opposite signs one is + and the other is -
Arithmetic - Music - Geometry and Astronomy
product
ordered pair

3. Two angles whose sum is 180 degrees
Even
supplementary angles
divisor
Known quantities

4. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
roots of numbers
Original x (1 - x/100) = New

5. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
Axiom III.
Always completed first
prime number

6. 0 to any power is equal to
proportion
0
Even
A = (D1 x D2) / 2

7. The method for indicating the power of a number
Inserting a zero at the left end of a whole number
0
Quantity is expressed
Power notation

8. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
Evaluating Powers With Negative Exponents
A sum of 2 primes is Odd
Sum of Interior Angles of a Polygon: (n - 2) x 180

9. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
Mathematics
When the addends have the same sign both + or both -
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?

10. Why are Even Exponents dangerous?
Sale Price - Unit Cost
equilateral triangle
How the Last Digit Shortcut works
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

11. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Absolute and Relative
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
radius
Even - Odd or Non-Int

12. ' x percent' = ?
Known quantities
radius
supplementary angles
x/100

13. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
base
pyramid
polygon
Axiom I.

14. Having the same size and shape
How the Last Digit Shortcut works
rectangle
Being divided by a power of 10
congruent

15. What is the perimeter of a Polygon?
Inserting a zero at the left end of a whole number
polygon
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Aliquot and Aliquant Parts

16. 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.
vertex (vertices - plural)
multiplier
octagon
Alternative to the algebraic manipulation method to solving a VIC

17. Every number is contained in itself once.
exponent
Absolute and Relative
Axiom VII.
Number Systems

18. Includes an integer as well as a fractional part
mixed fraction
1
Inserting a zero at the right end of a whole number
UnitPrice ($/unit) x Qty.Purchas'd (units)

19. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
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
Always completed first
Whole Numbers
hexagon

20. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
Reducing fractions
A plus sign (+) is used for two entirely different purposes:
1

21. 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 integ
Even
Equality
Even
Subtracting Signed Integers

22. Always perform the operations
range
To make sure to solve for Both cases.
Equality
from left to right

23. The ratio of a number to 100 (per one hundred). The symbol %
percent
greatest common factor (GCF)
Axiom IV.
base

24. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Aliquant Part
parallelogram
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
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

25. Includes an integer as well as a fractional part
Aliquot and Aliquant Parts
mixed number
How the Last Digit Shortcut works
Inserting a zero at the right end of a whole number

26. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Reducing: The Brute-Force Method
the Complement of that part to the whole
Even
rectangle

27. Any number with a negative exponent
Percent Change
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.
equal to 1 divided by that number with a positive exponent
vertex (vertices - plural)

28. The Sum of n consecutive integers is divisible by n if n is
Known quantities
Absolute and Relative
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Odd

29. 1 to any power is equal to
Sale Price - Unit Cost
squared
Known (Given) and Unknown (Sought)
1

30. 1/2 - 1/3 - 2/3 - -5/8
Decimals/Percents
Whole Numbers
Non-Int
proper fractions

31. Adding integers that have the same sign means
Multitude
radius
x-coordinate
both integers are positive or both are negative

32. A polygon that has four sides.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
'six cubed'
Negative-value integers
quadrilateral

33. A value such as 5^2 can be called

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34. An equation stating that two ratios are equal
congruent
percent
proportion
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

35. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
integer or whole number
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
before solving

36. Unit Profit = ?
The sum of all the integers from 20 to 100 - inclusive
quadrilateral
improper fractions
Sale Price - Unit Cost

37. The total of two or more numbers being added
denominator
vertex (vertices - plural)
Zero multiplied by any value
sum

38. One number is said to be less than (<) another when it is
Alternative to the algebraic manipulation method to solving a VIC
isosceles triangle
Inequality
farther to the left on the number line

39. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
referred to the same Unit
quotient
When to use the Heavy Division Shortcut - and how to do it
numerator

40. The number being divided is called the
Reducing fractions
radius
Increases the value.
dividend

41. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
proper fraction
pyramid
composite number

42. A triangle with one right angle
Aliquant Part
commutative law of multiplication
Relative multitude
right triangle

43. Odd +/- ____ = Odd
simplify
Even
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?
prime factorization

44. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Odd
when there are explicit or implicit equations in the problem:
Decreases
multiplicand

45. The distance around a circle (the perimeter of a circle)
circumference
Odd or Non-Int
base
mixed number

46. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
prism
equal to 1 divided by that number with a positive exponent
Any value multiplied by one
x-coordinate

47. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
mean
Relative multitude
Step 1 of Converting mixed numbers to improper fractions
Some integer/Some Power of 10

48. The process of breaking a number down into its factors is called
factoring
referred to the same Unit
proportion
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

49. 0.625 --> Fraction ?
complementary angle
5/8
when there are explicit or implicit equations in the problem:
pyramid

50. Lines in the same plane that do not intersect. The symbol //
When to use fractions
Aliquot and Aliquant Parts
Revenue ($) - Cost ($)
parallel lines