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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. 1 to any power is equal to
To square an equation to solve it
Original + Change = New Change/Original = Percent Change
1
(Last - First + 1)

2. Reversed position or direction
inverse
divisor
Unity - or a Unit
Zero multiplied by any value

3. The figure formed when two rays meet at a common endpoint called a vertex.
Proof
numerator
angle
supplementary angles

4. The difference between the least and greatest values in a set of numbers
Even or Non-Int
greatest common factor (GCF)
range
Odd

5. The number to be multiplied by is called the
Evaluating Powers With Negative Exponents
Axiom X.
perimeter
multiplier

6. Surface space that is measured in square units
2
perimeter
area
Subtracting Signed Integers

7. Decreasing the Denominator of a fraction Increases/Decreases the value?
prism
Increases the value.
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
before solving

8. What's the reciprocal of v6 - and why?
Even or Non-Int
prime factors
Same units
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

9. The ratio of a number to 100 (per one hundred). The symbol %
percent
angle
before solving
integers

10. Always try to Factor a quadratic equation
contains only a single number
Even
before solving
To square an equation to solve it

11. The result of muliplying two or more numbers
referred to the same Unit
numerator
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
product

12. Two angles whose sum equals 90 degrees
UnitPrice ($/unit) x Qty.Purchas'd (units)
contains only a single number
complementary angle
prime number

13. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Step 1 of Converting mixed numbers to improper fractions
To square an equation to solve it
parallelogram
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

14. An eight-sided polygon
Odd
equal to 1
octagon
Odd

15. Is equal to zero. 0 x a = 0
pi
Zero multiplied by any value
simplify
Non-Int

16. Includes an integer as well as a fractional part
scalene triangle
mixed fraction
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Reducing: The Brute-Force Method

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
When numbers do not divide evenly
Subtracting Signed Integers
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
right triangle

18. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
straight angle
x-coordinate
Subtracting Signed Integers
divisor

19. The two kinds of parts
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
Aliquot and Aliquant Parts
referred to the same Unit
Magnitude

20. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
factor
Subtracting Signed Integers
Adding negative integers will always produce a negative sum

21. In a division problem - it's the number being divided
dividend
Same units
x = (+-) a
Axiom IX.

22. What is the formula forCounting consecutive integers?
To add integers that have the same sign (both positive or both negative):
(Last - First + 1)
quadrilateral
proper fraction

23. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
numerator
When the addends have opposite signs one is + and the other is -
Even or Non-Int
combination of addition and subtraction

24. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
pi
Step 2 of Converting mixed numbers to improper fractions
Change + - Original = New

25. Things are Equal in Magnitude when they are
Multitude
Decimals/Percents
referred to the same Unit
integer values

26. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
polygon
Odd
2
unit ratio

27. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
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
proportion
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom VI.

28. Every number is contained in itself once.
Unknown quantities
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
dividend
Axiom VII.

29. A triangle with one right angle
right triangle
Is equal to the original value
diameter
ratio

30. Method: convert Decimal to Percent?
least common multiple (LCM)
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Shift DP 2 places right
Aliquant Part

31. Anything that may be increased or diminished
Even
Is equal to the original value
Quantity
higher terms

32. A parallelogram with four right angles
parallelogram
The Decimal Numbering System
rectangle
2

33. A self-evident statement - that is - one that does not need to be demonstrated.
equal to 1
Quantity
y-coordinate
axiom

34. The number being multiplied is called the
multiplicand
Whole Numbers
congruent
When you are absolutely sure the variable or expression <> 0

35. What is the formula forCounting consecutive integers?
(Last - First + 1)
base
Reducing: The Brute-Force Method
To add integers that have the same sign (both positive or both negative):

36. 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.
acute angle
1 and itself
radius
the Complement of that part to the whole

37. The Sum of n consecutive integers is Not divisible by n if n is
divisor
Proof
inverse
Even

38. Species and Number may be
octagon
Homogenous or Heterogenous
Is zero
cubed

39. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
(Last - First + 1)
Even
Species
scalene triangle

40. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
equivalent
Converting mixed numbers to improper fractions.
Different Units
product

41. Two numbers are said to be equal (=) when they are at
the same point on the number line
multiplicand
Whole
Converting mixed numbers to improper fractions.

42. The numerator of the fraction part of the mixed number is the remainder from the
acute angle
Parts
quotient
obtuse angle

43. TotalCost($) = ?

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44. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
pyramid
y-axis
When the addends have opposite signs one is + and the other is -
order of operations

45. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
Axiom IV.
supplementary angles
Unit Price x Qty. Sold
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.

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.
x-coordinate
equilateral triangle
quadrant
0.625

47. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Converting Improper Fractions to Mixed Numbers
Any value multiplied by one
hexagon
Axiom X.

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

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49. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Step 1 of Converting mixed numbers to improper fractions
Wage Rate ($ per hr) x Hrs worked
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
Aliquot Part

50. In a group of values - the value that occurs most often.
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?
Sale Price - Unit Cost
squared
mode