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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
The Decimal Numbering System
y-coordinate
Step 2 of Converting mixed numbers to improper fractions

2. The largest single factor for two or more numbers.
greatest common factor (GCF)
Zero multiplied by any value
Aliquant Part
Terminating decimal

3. 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
To add integers that have opposite signs:
y-coordinate
theorem

4. When the factors of a number are all prime numbers - the factors are said to be the
Subtracting Signed Integers
Alternative to the algebraic manipulation method to solving a VIC
mode
prime factors

5. Profit = ?
Whole
'five squared'
Species
Revenue ($) - Cost ($)

6. What are the only prime factors that a fraction resulting in a terminating decimals have?
Unity - or a Unit
The concept of trading decimal places and how it works
2 and/or 5 only
prism

7. 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:
octagon
right angle
Original x (1 - x/100) = New

8. The two kinds of Quantity are
Long Division
Whole
Multitudes and Magnitudes
y-axis

9. Change + - Original = New
farther to the left on the number line
Change / Original Formula?
quotient
putting that number over 1

10. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
absolute value
Decimals/Percents
hexagon

11. One number is said to be greater than (>) another when it is
Positive-value integers
equal to 1 divided by that number with a positive exponent
rhombus
farther to the right on the number line.

12. A ratio that shows the cost per unit of measure
unit ratio
quadrilateral
area
polygon

13. Surface space that is measured in square units.
area
theorem
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
lowest terms

14. Odd / Even = ? e.g. 9/6 = 1.5
equivalent
Axiom V.
Non-Int
equation

15. Change / Original Formula
Change + - Original = New
probability
Quantity
the Complement of that part to the whole

16. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Is zero
Sum of Interior Angles of a Polygon: (n - 2) x 180
0
Axiom VIII.

17. Odd +/- ____ = Odd
Axiom I.
Aliquot Part
Even
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

18. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
scale drawing
supplementary angles
referred to Unity in the same way
change the operation from subtraction to addition

19. A whole number can be expressed as an improper fraction by
Zero multiplied by any value
the Complement of that part to the whole
area
putting that number over 1

20. In a division problem - the number that an amount is divided by
difference
divisor
median
Line Segments

21. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
( (Last - First) / Increment ) + 1
Even
composite number
proportion

22. 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?
x-axis
proper fraction
range
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.

23. The whole-number part of the mixed number is the whole-number part of the
vertex (vertices - plural)
Mathematics
quotient
0

24. A number with only two factors: the number itself and one.
Multitudes and Magnitudes
rhombus
order of operations
prime number

25. The base of a triangle refers to?
Composite number
The bottom side of the triangle
square root
Fractions allow you to plot values between whole numbers and integers.

26. The method for indicating the power of a number
Power notation
circumference
polygon
hexagon

27. The distance around a circle (the perimeter of a circle).
When you are absolutely sure the variable or expression <> 0
congruent
Unit Price x Qty. Sold
circumference

28. Signs of grouping may be nested
y-coordinate
When to use fractions
complementary angles
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

29. A collection of things taken as a Unity. A bushel of wheat is a whole.
lowest terms
Is zero
Whole
sample

30. 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
Converting Improper Fractions to Mixed Numbers
Wage Rate ($ per hr) x Hrs worked
right triangle
denominator

31. The absolute value of the numerator is smaller than the absolute value of 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
Unknown quantities
proper fraction
product

32. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
area
the same point on the number line
proper fractions

33. Two angles whose sum equals 90 degrees
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
divisor
complementary angle
( (Last - First) / Increment ) + 1

34. Method: convert Decimal to Percent?
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
When the addends have the same sign both + or both -
Shift DP 2 places right
least common multiple (LCM)

35. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
dividend
Number
denominator

36. What is the formula forCounting consecutive multiples?
range
( (Last - First) / Increment ) + 1
Axiom V.
1

37. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
rate
reduced 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

38. The whole-number system uses only ten characters -0 through 9.
proportion
factor
The Decimal Numbering System
Both

39. A triangle with two equal sides and two equal angles
isosceles triangle
similar figures
lowest terms
improper fraction

40. Total Sales or Revenue = ?
Homogenous or Heterogenous
putting that number over 1
Unit Price x Qty. Sold
the Complement of that part to the whole

41. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
cylinder
Zero multiplied by any value
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.

42. The vertical number line of a coordinate graph
Axiom IV.
supplementary angles
y-axis
x = (+-) a

43. 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
1 and itself
improper fraction
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.
Homogenous or Heterogenous

44. Total Earnings ($) = ?
Number Systems
Wage Rate ($ per hr) x Hrs worked
proper fraction
Even

45. Lines in the same plane that do not intersect. The symbol //
prism
radius
dividend
parallel lines

46. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
proper fraction
the Complement of that part to the whole
x/100

47. Adding integers that have the same sign means
Change + - Original = New
both integers are positive or both are negative
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
Absolute and Relative

48. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Step 1 of Converting mixed numbers to improper fractions
Even
quadrant
The Decimal Numbering System

49. Surface space that is measured in square units
quadrilateral
area
Reducing: The Brute-Force Method
common denominator

50. 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.
right triangle
When you are absolutely sure the variable or expression <> 0
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?
equal to itself.

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CLEP General Mathematics: Arithmetic Basics

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