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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. The vertical number line of a coordinate graph
vertex (vertices - plural)
y-axis
angle
Revenue ($) - Cost ($)
2. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
equilateral triangle
Even
Same units
pyramid
3. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Positive-value integers
exactly the same portion
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
Any value multiplied by one
4. A quadrilateral with one pair of parallel sides
trapezoid
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
right triangle
Axiom V.
5. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
the denominator of the original improper fraction
The height of a triangle
greatest common factor (GCF)
6. A combination of numbers and variables connected by one or more operations signs
circumference
proper fraction
expression
When you are absolutely sure the variable or expression <> 0
7. The greater any number is in comparison to another - the more equal parts will it contain of that other.
quotient
Quantity
ratio
Axiom IX.
8. What are the rules for picking numbers in VICS?
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
To convert any fraction to higher terms
improper fraction
Original + Change = New Change/Original = Percent Change
9. The Sum of n consecutive integers is divisible by n if n is
Sale Price - Unit Cost
0
Odd
Being divided by a power of 10
10. A value that combines a whole number and a fractional amount
change the operation from subtraction to addition
Shift DP 2 places right
To find out - easily - if one fraction is bigger than another
mixed number
11. The numerator is greater than - or equal to - the denominator
A sum of 2 primes is Odd
improper fraction
ratio
exponent
12. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
Inserting a zero at the right end of a whole number
Even
vertex (vertices - plural)
common denominator
13. 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:
y-axis
they have the same absolute value
x = (+-) a
14. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Sale Price - Unit Cost
62.5%
Adding negative integers will always produce a negative sum
Odd
15. What are the 2 'percent change' equations?
Aliquot and Aliquant Parts
Sale Price - Unit Cost
A plus sign (+) is used for two entirely different purposes:
Original + Change = New Change/Original = Percent Change
16. Things are Equal in Multitude when they are
referred to Unity in the same way
Step 1 of Converting Improper Fractions to Mixed Numbers
To convert any fraction to higher terms
How the Last Digit Shortcut works
17. Rules that tell which steps to follow when solving an expression.
exponent
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
Multitude
order of operations
18. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
proportion
Decimals/Percents
Odd
Negative-value integers
19. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
referred to Unity in the same way
Step 1 of Converting Improper Fractions to Mixed Numbers
they have the same absolute value
Odd
20. In a division problem - it's the number being divided
Carry the 10's digit of the product to the top of the 10's column of factors.
dividend
How the Last Digit Shortcut works
x = (+-) a
21. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
Equal
Revenue ($) - Cost ($)
equal to itself.
22. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
proper fraction
Adding negative integers will always produce a negative sum
farther to the left on the number line
they have the same absolute value
23. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
axiom
5/8
More
improper fraction
24. The method for indicating the power of a number
Power notation
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
area
circumference
25. The horizontal number line of a coordinate graph
x-axis
Shift DP 2 places left
area
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
26. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Wage Rate ($ per hr) x Hrs worked
Even
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Whole Numbers
27. 0.625 --> Fraction ?
Quantity
Magnitude
Even
5/8
28. A polygon with five sides
Any value multiplied by one
pentagon
Magnitude
dividend
29. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
1
denominator
Even
Odd
30. For there to be X unique factors of X - what must be true?
Being divided by a power of 10
Every integer between 1 and X - inclusive - must be a factor of X
Revenue ($) - Cost ($)
Number
31. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
prism
Wage Rate ($ per hr) x Hrs worked
Zero multiplied by any value
32. What is the increment of a set of consecutive integers?
change the operation from subtraction to addition
median
1
median
33. 'y percent less than' = ?
simplify
x-coordinate
1
1 - (y/100)
34. Species and Number may be
Axiom IV.
Both
Relative multitude
Homogenous or Heterogenous
35. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
range
Always completed first
inverse operations
improper fraction
36. A ratio that compares two different types of quantities
(Last - First + 1)
rate
UnitPrice ($/unit) x Qty.Purchas'd (units)
When to use the Heavy Division Shortcut - and how to do it
37. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
equal to 1
Subtracting Signed Integers
Reducing: The Brute-Force Method
2^3 = 8
38. The absolute value of the numerator is smaller than the absolute value of the denominator.
1
equation
Unit Price x Qty. Sold
proper fraction
39. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Magnitude
When the addends have the same sign both + or both -
scalene triangle
similar figures
40. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
cubed
acute angle
Reducing by the Largest Common Factor (LCF)
Odd
41. The number doing the dividing is called the
vertex (vertices - plural)
The rule for adding negative integers is the same as the rule for adding positive integers:
divisor
the Complement of that part to the whole
42. The Sum of n consecutive integers is Not divisible by n if n is
perimeter
Unknown quantities
x-axis
Even
43. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
congruent
Whole Numbers
cubed
divisor
44. Expresses fractional parts that are greater than 1.
y-coordinate
1
0.625
mixed number
45. TotalCost($) = ?
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46. Odd x ? = Even
To make sure to solve for Both cases.
Even
Axiom V.
Reducing by the Largest Common Factor (LCF)
47. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
mode
Even - Odd or Non-Int
supplementary angles
Reducing fractions
48. 1 to any power is equal to
proper fraction
before solving
Shift DP 2 places right
1
49. Having the same size and shape
Even
congruent
scalene triangle
x-axis
50. A comparison of the two values of two numbers
Unit Price x Qty. Sold
y-axis
ratio
referred to Unity in the same way