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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. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
factors of the multiplication operation
multiplicand
Reducing fractions

2. Surface space that is measured in square units
Proof
Even div. by 4
area
Is equal to the original value

3. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Odd
Relative multitude
Positive-value integers
divisor

4. A ratio that compares two different types of quantities
y-coordinate
Long Division
rate
ordered pair

5. A number with an exponent of 3 is often said to be
Shift DP 2 places left
quotient
factoring
cubed

6. A ratio that shows the cost per unit of measure
unit ratio
range
pyramid
quotient

7. 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
Whole Numbers
Odd
acute angle
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. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
equation
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
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?

9. A mathematical sentence that uses an equal sign
exponent
acute angle
range
equation

10. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
rectangle
prism
To make sure to solve for Both cases.
Axiom VI.

11. Having the same value
1 and itself
prime number
2 and/or 5 only
equivalent

12. If 2 numbers are OPPOSITES of each other
Step 1 of Converting Improper Fractions to Mixed Numbers
square unit
When the addends have the same sign both + or both -
they have the same absolute value

13. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
When the addends have opposite signs one is + and the other is -
numerator
area

14. Always perform the operations
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
from left to right
mean
x-coordinate

15. What is the increment of a set of consecutive integers?
Non-Int
range
1
Power notation

16. Where do fractions occur on a number line?
2
Fractions allow you to plot values between whole numbers and integers.
'five squared'
farther to the left on the number line

17. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Axiom II.
polygon
dividing the numerator and denominator by the same number
always clear the innermost groups first

18. When working with nested signs of grouping
always clear the innermost groups first
isosceles triangle
quadrilateral
denominator

19. Method: convert Percent to Decimal?
equal to 1
( (Last - First) / Increment ) + 1
Greater
Shift DP 2 places left

20. The largest integer that can be divided evenly into both the numerator and denominator.
Number Systems
x-axis
Reducing by the Largest Common Factor (LCF)
quotient

21. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Sale Price - Unit Cost
2
factor
More

22. Things are Equal in Multitude when they are
referred to Unity in the same way
common denominator
diameter
rectangle

23. Is equal to zero. 0 x a = 0
Zero multiplied by any value
Power notation
Step 2 of Converting Improper Fractions to Mixed Numbers
prime factors

24. Is Always perpendicular (at 90 deg. to) the base!
numerator
5/8
The rule for adding negative integers is the same as the rule for adding positive integers:
The height of a triangle

25. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Terminating decimal
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
1 - (y/100)

26. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
exactly the same portion
referred to Unity in the same way
x-coordinate
from left to right

27. The ratio of a number to 100 (per one hundred); the symbol %
Axiom III.
percent
referred to Unity in the same way
Inserting a zero at the left end of a whole number

28. Decreasing the Denominator of a fraction Increases/Decreases the value?
factors of the multiplication operation
dividend
Increases the value.
integer or whole number

29. The result of the division called the
Axiom VI.
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
quotient
divisor

30. The whole is equal to all of its parts taken together.
Axiom V.
Original x (1 - x/100) = New
lowercase letters
improper fractions

31. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
One... the number 2
A sum of 2 primes is Odd
Same units
quotient

32. The exact procedure for adding signed integers depends upon
Odd
whether the addends have the same sign or opposite signs
Is equal to the original value
diameter

33. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
To add integers that have opposite signs:
quadrilateral
Axiom V.

34. The sum of a group of numbers divided by the number of numbers. Also known as the average.
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
mean
equal to 1 divided by that number with a positive exponent
Revenue ($) - Cost ($)

35. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
complementary angle
factor
The sum of all the integers from 20 to 100 - inclusive
x-coordinate

36. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
improper fraction
Sale Price - Unit Cost
lowest terms

37. Are those things collected in a whole.
median
dividing the numerator and denominator by the same number
Parts
The rule for adding negative integers is the same as the rule for adding positive integers:

38. 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
A = (Base x Height) / 2 - A = (BH)/2
common factor
right triangle

39. What are the rules for picking numbers in VICS?
exactly the same portion
improper fraction
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
octagon

40. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Always completed first
change the operation from subtraction to addition
Step 1 of Converting mixed numbers to improper fractions
fraction or broken number

41. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
Evaluating Powers With Negative Exponents
numerator
Non-Int
divisor

42. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Even or Non-Int
( (Last - First) / Increment ) + 1
factor

43. An angle that measures 90 degrees
Axiom V.
cubed
cross product
right angle

44. An eight-sided polygon
range
Homogenous or Heterogenous
octagon
combination of addition and subtraction

45. The number doing the dividing is called the
divisor
Absolute and Relative
Odd
Even

46. Any whole number can be expressed in terms of the
To convert any fraction to higher terms
product
composite number
To add integers that have opposite signs:

47. The smallest multiple that two or more numbers have in common
lowercase letters
A = (Diagonal1 x Diagonal2) / 2
Is zero
least common multiple (LCM)

48. 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').
pi
Whole Numbers
Equal
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

49. 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
2
Even
Odd or Non-Int
To make sure to solve for Both cases.

50. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
To add integers that have opposite signs:
fraction or broken number
like fractions
Axiom III.