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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. If 2 numbers are OPPOSITES of each other
Is zero
Composite number
they have the same absolute value
Wage Rate ($ per hr) x Hrs worked
2. The number to be multiplied by is called the
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
multiplier
greatest common factor (GCF)
Arithmetic - Music - Geometry and Astronomy
3. Rules that tell which steps to follow when solving an expression
order of operations
Quantity is expressed
dividend
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
4. A number that when multiplied by itself results in the original number
square root
angle
ratio
farther to the left on the number line
5. An evenly-spaced set is fully-defined if what is known...?
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.
Mathematics
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
integer values
6. One number is said to be greater than (>) another when it is
farther to the right on the number line.
they have the same absolute value
absolute value
When numbers do not divide evenly
7. Species are distinguished into
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
Known (Given) and Unknown (Sought)
Arithmetic - Music - Geometry and Astronomy
Zero multiplied by any value
8. A polygon with six sides.
hexagon
Alternative to the algebraic manipulation method to solving a VIC
Is zero
Step 2 of Converting mixed numbers to improper fractions
9. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Magnitude at Rest and Magnitude in Motion
A plus sign (+) is used for two entirely different purposes:
right triangle
Even
10. A unit for measuring area
mixed number
square unit
One... the number 2
complementary angle
11. Includes an integer as well as a fractional part
Odd
There are two parts in the procedure for subtracting signed integers:
mixed fraction
Original x (1 - x/100) = New
12. Cross-multiply
Axiom X.
order of operations
To find out - easily - if one fraction is bigger than another
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
13. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Subtracting Signed Integers
square root
When the addends have the same sign both + or both -
Sum of Interior Angles of a Polygon: (n - 2) x 180
14. The numerator is smaller than the denominator
The rule for adding negative integers is the same as the rule for adding positive integers:
proper fraction
proper fractions
quotient
15. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
Sale Price - Unit Cost
There are two parts in the procedure for subtracting signed integers:
Even
16. The formula for the Area of a Rhombus is?
composite number
Shift DP 2 places left
ratio
A = (Diagonal1 x Diagonal2) / 2
17. Indicates the number to be multiplied
Increases the value.
base
radius
Shift DP 2 places left
18. 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').
Converting mixed numbers to improper fractions.
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.
percent
Whole Numbers
19. Any number with an exponent of 0
equal to 1
A sum of 2 primes is Odd
theorem
square root
20. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
right angle
the same point on the number line
Multitude
Step 1 of Converting Improper Fractions to Mixed Numbers
21. The largest integer that can be divided evenly into both the numerator and denominator.
Adding negative integers will always produce a negative sum
proper fractions
Reducing by the Largest Common Factor (LCF)
proper fraction
22. A polygon that has four sides
Parts
quadrilateral
circumference
1
23. TotalCost($) = ?
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24. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
prism
A minus sign ( - ) is used for two entirely different purposes:
like fractions
25. Odd +/- ____ = Odd
Even
Known quantities
acute angle
perimeter
26. Decreasing the Denominator of a fraction Increases/Decreases the value?
Even and Odd
mixed fraction
equation
Increases the value.
27. Switch to a number-picking strategy
Equality
quadrilateral
pi
Alternative to the algebraic manipulation method to solving a VIC
28. The total of two or more numbers being added
Sale Price - Unit Cost
polygon
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
sum
29. Always perform combinations of multiplication and division before
lowercase letters
always clear the innermost groups first
combination of addition and subtraction
rhombus
30. 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
lowest terms
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
whether the addends have the same sign or opposite signs
Positive-value integers
31. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
pentagon
Positive-value integers
diameter
scale drawing
32. Are those things collected in a whole.
'six cubed'
Change / Original Formula?
y-axis
Parts
33. The result of dividing one number by another; the solution to a division problem
quotient
improper fractions
median
similar figures
34. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
congruent
trapezoid
Change / Original Formula?
The rule for adding negative integers is the same as the rule for adding positive integers:
35. An angle that measures 180 degrees
To add integers that have opposite signs:
parallel lines
similar figures
straight angle
36. A value that combines a whole number and a fractional amount
Parts
higher terms
(Last - First + 1)
mixed number
37. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
reflection
Aliquant Part
Change / Original Formula?
radius
38. What's the reciprocal of v6 - and why?
Axiom V.
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
Converting mixed numbers to improper fractions.
The concept of trading decimal places and how it works
39. Method: convert Decimal to Percent?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Shift DP 2 places right
square root
polygon
40. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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41. Indicates the number of times the base is to be multiplied
Axiom I.
product
exponent
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
42. A ratio that compares two different types of quantities
proper fraction
'five squared'
numerator
rate
43. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
improper fraction
simplify
Aliquot Part
y-coordinate
44. 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.
To add integers that have the same sign (both positive or both negative):
fraction or broken number
hexagon
the Complement of that part to the whole
45. Having the same size and shape
x-axis
Unit Price x Qty. Sold
To make sure to solve for Both cases.
congruent
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.
One... the number 2
Absolute and Relative
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
x-coordinate
47. Why are Even Exponents dangerous?
prime factorization
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
least common multiple (LCM)
Axiom V.
48. An angle measuring more than zero degrees and less than 90 degrees
Percent Decrease Formula
acute angle
Subtracting Signed Integers
inverse operations
49. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
mode
Sale Price - Unit Cost
dividend
50. The distance around a circle (the perimeter of a circle).
improper fraction
circumference
difference
absolute value