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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. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
The rule for adding negative integers is the same as the rule for adding positive integers:
1
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Known (Given) and Unknown (Sought)

2. One number is said to be greater than (>) another when it is
Axiom IX.
farther to the right on the number line.
parallelogram
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

3. Any value divided by one
diameter
factors of the multiplication operation
How the Last Digit Shortcut works
Is equal to the original value

4. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
absolute value
farther to the right on the number line.
equilateral triangle
Relative multitude

5. Every lesser number is contained in a greater more than once.
proper fractions
Whole
hexagon
Axiom VIII.

6. In a group of values - the value that occurs most often.
mode
inverse
the denominator of the original improper fraction
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

7. 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:
area
Axiom I.
The rule for adding negative integers is the same as the rule for adding positive integers:

8. Includes an integer as well as a fractional part
mixed fraction
Composite number
Odd
percent

9. Two angles whose sum is 180 degrees
supplementary angles
Parts
mean
Even

10. Lines in the same plane that do not intersect. The symbol //
parallel lines
perimeter
complementary angles
Axiom IV.

11. Having the same value
More
equivalent
Different Units
Inserting a zero at the right end of a whole number

12. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
ratio
Sale Price - Unit Cost
common denominator
x-coordinate

13. Two numbers are said to be equal (=) when they are at
Original x (1 - x/100) = New
Even or Non-Int
denominator
the same point on the number line

14. Is the agreement of things in Quanity.
Equality
expression
A = (Base x Height) / 2 - A = (BH)/2
multiplicand

15. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Aliquot Part
Species
Aliquot and Aliquant Parts
(Last - First + 1)

16. When working with nested signs of grouping
both integers are positive or both are negative
Sum of Interior Angles of a Polygon: (n - 2) x 180
always clear the innermost groups first
x/100

17. The ratio of a number to 100 (per one hundred); the symbol %
percent
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
62.5%
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.

18. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
When you are absolutely sure the variable or expression <> 0
product
Number Systems

19. Part of the population that is studied to find the characteristics of the whole population.
median
sample
product
Shift DP 2 places left

20. Always try to Factor a quadratic equation
Line Segments
Magnitude
before solving
product

21. 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').
prism
Whole Numbers
reduced fraction
0

22. Profit = ?
Revenue ($) - Cost ($)
cylinder
hexagon
When the addends have the same sign both + or both -

23. Surface space that is measured in square units.
area
fraction or broken number
Whole
product

24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Inequality
median
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
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

25. An equation stating that two ratios are equal
Known quantities
x-axis
prime factors
proportion

26. Any whole number can be expressed in terms of the
factors of the multiplication operation
A = (Diagonal1 x Diagonal2) / 2
product
circumference

27. TotalCost($) = ?

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28. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
equivalent
pyramid
The Ratio of Any two of the following: Original - Change and New

29. A collection of things taken as a Unity. A bushel of wheat is a whole.
Step 2 of Converting mixed numbers to improper fractions
Whole
The height of a triangle
unit ratio

30. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
supplementary angles
percent
hexagon

31. Any number with a negative exponent
Unknown quantities
Axiom VII.
To square an equation to solve it
equal to 1 divided by that number with a positive exponent

32. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
equivalent
When numbers do not divide evenly
x-coordinate
To add integers that have the same sign both positive or both negative:

33. 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
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
area
referred to Unity in the same way

34. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Axiom III.
Long Division
scale drawing
rhombus

35. Is the opposite of raising fractions to higher terms.
pi
A = (Diagonal1 x Diagonal2) / 2
Reducing fractions
combination of addition and subtraction

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

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37. Always perform the operations
change the operation from subtraction to addition
from left to right
Decreases
the denominator of the original improper fraction

38. Are those things collected in a whole.
factors of the multiplication operation
x-axis
improper fractions
Parts

39. Method: convert Decimal to Percent?
Relative multitude
polygon
Decimals/Percents
Shift DP 2 places right

40. The exact procedure for adding signed integers depends upon
Converting mixed numbers to improper fractions.
Change / Original Formula?
whether the addends have the same sign or opposite signs
the denominator of the original improper fraction

41. .625 --> Percent?
Change / Original Formula?
Number
62.5%
prism

42. The study of quantity
Mathematics
mixed number
unit ratio
The sum of all the integers from 20 to 100 - inclusive

43. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
axiom
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Number

44. Profit = ?
complementary angle
Revenue ($) - Cost ($)
Odd
Reducing: The Brute-Force Method

45. Why are Even Exponents dangerous?
improper fractions
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
fraction or broken number
complementary angle

46. The numerator is smaller than the denominator
2^3 = 8
ratio
proper fraction
when there are explicit or implicit equations in the problem:

47. A ratio that shows the cost per unit of measure
unit ratio
circumference
difference
When the addends have the same sign both + or both -

48. The two kinds of Magnitude are
2
Magnitude at Rest and Magnitude in Motion
divisor
Odd

49. The smallest multiple that two or more numbers have in common
When the addends have the same sign both + or both -
least common multiple (LCM)
x = (+-) a
theorem

50. The distance around a figure.
Is equal to the original value
x-axis
perimeter
polygon