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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. Percent Decrease Formula ?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Original x (1 - x/100) = New
Number Systems
isosceles triangle

2. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
( (Last - First) / Increment ) + 1
integer values
Unknown quantities
denominator

3. The largest integer that can be divided evenly into both the numerator and denominator.
5/8
Axiom IV.
Reducing by the Largest Common Factor (LCF)
Percent Change

4. 1 to any power is equal to
composite number
Aliquot Part
1
cylinder

5. Is the opposite of raising fractions to higher terms.
both integers are positive or both are negative
hexagon
mixed number
Reducing fractions

6. Indicates the number of times the base is to be multiplied
exponent
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
perimeter
quotient

7. An angle measuing more than 0 degrees and less than 90 degrees
Percent Change
Every integer between 1 and X - inclusive - must be a factor of X
Axiom V.
acute angle

8. A whole number that has only one set of factors - itself and 1.
equation
prime number
change the operation from subtraction to addition
percent

9. The number being multiplied is called the
quotient
circumference
2 and/or 5 only
multiplicand

10. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Proof
order of operations
Converting Improper Fractions to Mixed Numbers
Any value multiplied by one

11. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Original + Change = New Change/Original = Percent Change
polygon
exactly the same portion

12. The absolute value of the numerator is smaller than the absolute value of the denominator.
A sum of 2 primes is Odd
To square an equation to solve it
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
proper fraction

13. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
improper fraction
composite number
Step 1 of Converting Improper Fractions to Mixed Numbers
enclosing the numbers in a pair of vertical lines | |

14. Change + - Original = New
area
Change / Original Formula?
vertex (vertices - plural)
factor

15. 3 ways to solve an absolute value inequality
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Magnitude at Rest and Magnitude in Motion
scalene triangle
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

16. What is the formula forCounting consecutive integers?
(Last - First + 1)
Number Systems
Negative-value integers
Shift DP 2 places left

17. One of the four regions formed by the intersection of the axes of a coordinate graph
difference
quadrant
reciprocal
lowercase Variables

18. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
rectangle
Both
Shift DP 2 places right

19. A solid figure with two congruent and parallel circular bases
cylinder
quotient
hexagon
both integers are positive or both are negative

20. In a division problem - it's the number being divided
complementary angle
cross product
dividend
composite number

21. Always perform combinations of multiplication and division before
before solving
range
Known (Given) and Unknown (Sought)
combination of addition and subtraction

22. A known quantity we refer to as One.
Unity - or a Unit
octagon
sample
complementary angle

23. An angle measuring more than zero degrees and less than 90 degrees
Alternative to the algebraic manipulation method to solving a VIC
acute angle
integer or whole number
cylinder

24. A whole number can be expressed as an improper fraction by
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
putting that number over 1
combination of addition and subtraction
A minus sign ( - ) is used for two entirely different purposes:

25. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
simplify
Inserting a zero at the right end of a whole number
To add integers that have opposite signs:
Proof

26. To make a fraction easier to work with by taking out common factors
simplify
scale drawing
Reducing fractions
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?

27. Total Sales or Revenue = ?
Terminating decimal
Unit Price x Qty. Sold
scale drawing
(Last - First + 1)

28. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Axiom V.
equal to 1 divided by that number with a positive exponent
range
Even

29. 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
Increases the value.
lowest terms
Even or Non-Int
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

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

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31. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
To add integers that have the same sign both positive or both negative:
improper fraction
x-axis
To add integers that have opposite signs:

32. Change / Original Formula
Even div. by 4
Change + - Original = New
mixed fraction
Quantity is expressed

33. 0 to any power is equal to
0
Carry the 10's digit of the product to the top of the 10's column of factors.
Aliquot and Aliquant Parts
To make sure to solve for Both cases.

34. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
'six cubed'
mode
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

35. The method for indicating the power of a number
Power notation
when there are explicit or implicit equations in the problem:
dividend
Increases the value.

36. In order to understand and use exponents that are fractions or decimals - you must first know about
rectangle
Is zero
roots of numbers
reduced fraction

37. Decreasing the Denominator of a fraction Increases/Decreases the value?
Reducing fractions
Increases the value.
equivalent
median

38. Reducing fractions is
from left to right
x-axis
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
dividing the numerator and denominator by the same number

39. Change/Original = New
Percent Change
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Odd
right angle

40. One number is said to be less than (<) another when it is
Change + - Original = New
farther to the left on the number line
expression
percent

41. A number with only two factors: the number itself and one.
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?
common denominator
prime number
dividing the numerator and denominator by the same number

42. A combination of numbers and variables connected by one or more operations signs
Sum of Interior Angles of a Polygon: (n - 2) x 180
expression
Equal
x-coordinate

43. The study of quantity
When numbers do not divide evenly
Mathematics
perimeter
Even

44. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
lowest terms
Revenue ($) - Cost ($)
Odd
mixed number

45. A triangle with one right angle
Percent Decrease Formula
one is positive and the other is negative
right triangle
Axiom II.

46. 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
Revenue ($) - Cost ($)
ratio
2
improper fraction

47. Breaking down a composite number until all of the factors are prime
dividing the numerator and denominator by the same number
prime factorization
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
Equal

48. Has no sign value
Zero (0)
y-axis
complementary angles
x-coordinate

49. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
Even
The Ratio of Any two of the following: Original - Change and New
pentagon

50. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
lowest terms
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
product