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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. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Axiom V.
obtuse angle
Even
2. 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
Axiom VI.
Reducing fractions
Odd
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.
Positive-value integers
median
Arithmetic - Music - Geometry and Astronomy
x-coordinate
4. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
improper fraction
median
parallel lines
5. A polygon that has four sides.
sample
quadrilateral
complementary angle
median
6. Every number is contained in itself once.
Unit Price x Qty. Sold
Reducing: The Brute-Force Method
Reducing by the Largest Common Factor (LCF)
Axiom VII.
7. The lower number in a fraction is the
denominator
Even
mixed number
Shift DP 2 places left
8. 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.
x = (+-) a
theorem
square unit
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?
9. Adding integers that have opposite signs means
mixed number
To make sure to solve for Both cases.
one is positive and the other is negative
5/8
10. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
mixed number
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
11. Species and Number may be
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.
Odd
Homogenous or Heterogenous
Some integer/Some Power of 10
12. Basic Number Properties and elementary operations.
One... the number 2
Number Systems
the denominator of the original improper fraction
Axiom IV.
13. Any number with an exponent of 1
equal to itself.
Positive-value integers
Both
Odd
14. Is the opposite of raising fractions to higher terms.
Reducing fractions
Positive-value integers
Wage Rate ($ per hr) x Hrs worked
sum
15. Unit Profit = ?
congruent
quotient
Sale Price - Unit Cost
Being divided by a power of 10
16. A polygon with six sides.
improper fraction
hexagon
0
roots of numbers
17. The Only possible factors for a prime number are
quadrant
exponent
Known (Given) and Unknown (Sought)
1 and itself
18. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Sale Price - Unit Cost
area
To make sure to solve for Both cases.
Unit Price x Qty. Sold
19. Adding integers that have the same sign means
Step 1 of Converting mixed numbers to improper fractions
composite number
both integers are positive or both are negative
Inequality
20. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Magnitude at Rest and Magnitude in Motion
scale drawing
21. The smallest multiple that two or more numbers have in common
trapezoid
improper fractions
least common multiple (LCM)
A minus sign ( - ) is used for two entirely different purposes:
22. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
To find out - easily - if one fraction is bigger than another
x/100
lowercase Variables
Even
23. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Long Division
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
mode
24. To indicate the subtraction operation - to indicate a negative integer value
Different Units
equation
inverse operations
A minus sign ( - ) is used for two entirely different purposes:
25. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
they have the same absolute value
equal to itself.
A = (D1 x D2) / 2
26. A self-evident statement - that is - one that does not need to be demonstrated.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
axiom
1 - (y/100)
The height of a triangle
27. The number doing the dividing is called the
Axiom V.
Mathematics
Odd
divisor
28. By the last letters (u - x - y - etc.)
Known quantities
Long Division
Percent Change
range
29. Odd / Even = ? e.g. 9/6 = 1.5
Even - Odd or Non-Int
Non-Int
unit ratio
equal to 1
30. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
fraction or broken number
area
Parts
when there are explicit or implicit equations in the problem:
31. Surface space that is measured in square units
obtuse angle
area
rectangle
y-coordinate
32. A triangle with one right angle
right triangle
reflection
A sum of 2 primes is Odd
parallelogram
33. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
integers
reduced fraction
Terminating decimal
Species
34. A comparison of the two values of two numbers
equal to itself.
ratio
absolute value
unit ratio
35. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
dividend
UnitPrice ($/unit) x Qty.Purchas'd (units)
The Ratio of Any two of the following: Original - Change and New
36. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Zero multiplied by any value
proper fraction
1 and itself
37. 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
difference
Aliquot and Aliquant Parts
Greater
38. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
A = (D1 x D2) / 2
rate
x-coordinate
lowercase Variables
39. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
inverse operations
the Complement of that part to the whole
Long Division
40. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Magnitude at Rest and Magnitude in Motion
Inserting a zero at the right end of a whole number
Shift DP 2 places left
median
41. Why are Even Exponents dangerous?
dividend
When to use the Heavy Division Shortcut - and how to do it
factors of the multiplication operation
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
42. 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.
Species
the Complement of that part to the whole
One... the number 2
'five squared'
43. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
parallel lines
Any value multiplied by one
Converting Improper Fractions to Mixed Numbers
44. Decreasing the Denominator of a fraction Increases/Decreases the value?
pi
Increases the value.
Carry the 10's digit of the product to the top of the 10's column of factors.
Unity - or a Unit
45. Always perform the operations
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Is zero
from left to right
The sum of all the integers from 20 to 100 - inclusive
46. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
sum
Any value multiplied by one
Is equal to the original value
47. The Sum of n consecutive integers is Not divisible by n if n is
higher terms
Even
More
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
48. The number being divided is called the
Sale Price - Unit Cost
simplify
dividend
Negative-value integers
49. In a group of values - the value that occurs most often.
common denominator
When to use fractions
exactly the same portion
mode
50. One number is said to be greater than (>) another when it is
lowercase letters
farther to the right on the number line.
integers
When to use fractions