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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. One number is said to be less than (<) another when it is
farther to the left on the number line
x-axis
y-axis
Adding negative integers will always produce a negative sum

2. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
A sum of 2 primes is Odd
Even - Odd or Non-Int
like fractions

3. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
product
dividend
mixed number

4. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
rate
square root
area
scale drawing

5. Any value divided by one
rectangle
area
Is equal to the original value
Unit Price x Qty. Sold

6. 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.
scale drawing
Same units
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?

7. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even - Odd or Non-Int
quotient
Even and Odd
exponent

8. If 2 numbers are OPPOSITES of each other
pentagon
x/100
denominator
they have the same absolute value

9. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Even div. by 4
exactly the same portion
1
farther to the right on the number line.

10. Always try to Factor a quadratic equation
Odd
denominator
proportion
before solving

11. A number that when multiplied by itself results in the original number
To add integers that have opposite signs:
Positive-value integers
square root
combination of addition and subtraction

12. Zero divided by any whole number (except 0)
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
absolute value
Is zero
Non-Int

13. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
The concept of trading decimal places and how it works
Axiom VII.
pi
pentagon

14. The vertical number line of a coordinate graph
The height of a triangle
squared
Shift DP 2 places left
y-axis

15. When will a decimal terminate and why?
median
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
dividend

16. A comparison of the two values of two numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
parallelogram
ratio
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

17. 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.
A = (Base x Height) / 2 - A = (BH)/2
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
quotient
composite number

18. The largest integer that can be divided evenly into both the numerator and denominator.
pyramid
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
improper fraction
Reducing by the Largest Common Factor (LCF)

19. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
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
mixed fraction
Fractions allow you to plot values between whole numbers and integers.

20. The two kinds of parts
product
The concept of trading decimal places and how it works
x-coordinate
Aliquot and Aliquant Parts

21. The distance around a figure.
Quantity
prime number
perimeter
( (Last - First) / Increment ) + 1

22. A triangle with sides of different lengths and no two angles are the same.
expression
scalene triangle
Axiom II.
To add integers that have the same sign (both positive or both negative):

23. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
UnitPrice ($/unit) x Qty.Purchas'd (units)
proportion
Inserting a zero at the right end of a whole number
5/8

24. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
parallelogram
exactly the same portion

25. In a division problem - the number that an amount is divided by
To square an equation to solve it
from left to right
When you are absolutely sure the variable or expression <> 0
divisor

26. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
fraction or broken number
Odd
radius
mixed number

27. What is the formula for: The Area of a Triangle ?
unit ratio
A = (Base x Height) / 2 - A = (BH)/2
range
area

28. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
integers
1
change the operation from subtraction to addition

29. Things are Equal in Multitude when they are
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
they have the same absolute value
squared
referred to Unity in the same way

30. Things are Equal in Magnitude when they are
referred to the same Unit
product
Axiom IX.
prime factors

31. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
absolute value
proportion
Equal
Inserting a zero at the left end of a whole number

32. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
improper fraction
perimeter
Change / Original Formula?

33. What are the 2 'percent change' equations?
reduced fraction
Original + Change = New Change/Original = Percent Change
Even or Non-Int
isosceles triangle

34. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Absolute and Relative
Sum of Interior Angles of a Polygon: (n - 2) x 180
Decreases
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

35. One of the four regions formed by the intersection of the axes of a coordinate graph
Multitudes and Magnitudes
obtuse angle
Unity - or a Unit
quadrant

36. 1 to any power is equal to
trapezoid
1
numerator
referred to the same Unit

37. When are you allowed to divide by a variable - (or Any expression) ?
The sum of all the integers from 20 to 100 - inclusive
(Last - First + 1)
When you are absolutely sure the variable or expression <> 0
Odd or Non-Int

38. Taken together - the multiplicand and multiplier are known as
composite number
congruent
factors of the multiplication operation
Whole

39. Is the disagreement of things in Quantity.
Inequality
The Ratio of Any two of the following: Original - Change and New
mean
acute angle

40. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
least common multiple (LCM)
Magnitude at Rest and Magnitude in Motion
prism

41. A number that is a factor of two or more numbers.
( (Last - First) / Increment ) + 1
equation
When the addends have the same sign both + or both -
common factor

42. The exact procedure for adding signed integers depends upon
like fractions
one is positive and the other is negative
Odd
whether the addends have the same sign or opposite signs

43. The number doing the dividing is called the
divisor
Unit Cost + Markup
A plus sign (+) is used for two entirely different purposes:
congruent

44. What is the increment of a set of consecutive integers?
1
inverse operations
range
acute angle

45. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
Arithmetic - Music - Geometry and Astronomy
denominator
2 and/or 5 only

46. Everything may be assumed as unity.
Species
common factor
Axiom I.
higher terms

47. The numerator is greater than - or equal to - the denominator
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
1 - (y/100)
radius
improper fraction

48. A parallelogram with four right angles
rectangle
Shift DP 2 places right
common denominator
To convert any fraction to higher terms

49. Quantities which are both equal to one and the same third are equal to one another.
radius
Even
Axiom III.
Computation

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

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