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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. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
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
Even
Odd
from left to right
2. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
proper fraction
supplementary angles
change the operation from subtraction to addition
3. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Even or Non-Int
Magnitude
difference
Unknown quantities
4. A whole number that has only one set of factors - itself and 1.
A plus sign (+) is used for two entirely different purposes:
prime number
quotient
Decimals/Percents
5. 'y percent less than' = ?
polygon
proportion
1 - (y/100)
Odd
6. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Step 1 of Converting mixed numbers to improper fractions
exactly the same portion
Unity - or a Unit
Odd
7. A number that is not a prime number is called a
quotient
parallelogram
Fractions allow you to plot values between whole numbers and integers.
composite number
8. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
perimeter
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
rectangle
when there are explicit or implicit equations in the problem:
9. A number that tells how many times the base is multiplied by itself
exponent
polygon
Even
angle
10. The distance around a circle (the perimeter of a circle)
circumference
Sale Price - Unit Cost
Odd or Non-Int
hexagon
11. Taken together - the multiplicand and multiplier are known as
rhombus
factors of the multiplication operation
when there are explicit or implicit equations in the problem:
Shift DP 2 places right
12. Is the agreement of things in Quanity.
Equality
common denominator
the denominator of the original improper fraction
absolute value
13. Indicates the number of times the base is to be multiplied
similar figures
the denominator of the original improper fraction
exponent
Whole Numbers
14. Any number with a negative exponent
diameter
62.5%
equal to 1 divided by that number with a positive exponent
Positive-value integers
15. Always perform the operations
isosceles triangle
Original + Change = New Change/Original = Percent Change
proper fractions
from left to right
16. By the first letters of the alphabet (a - b - c - d - etc..)
integer or whole number
divisor
Unknown quantities
lowest terms
17. The Only possible factors for a prime number are
1 and itself
1
the Complement of that part to the whole
(Last - First + 1)
18. Two angles whose sum equals 90 degrees.
pentagon
complementary angles
exactly the same portion
quotient
19. A fraction with all common factors (other than 1) factored out of the numerator and denominator
referred to the same Unit
1 - (y/100)
lowest terms
Converting Improper Fractions to Mixed Numbers
20. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
square root
Terminating decimal
To make sure to solve for Both cases.
Inserting a zero at the left end of a whole number
21. When working with nested signs of grouping
always clear the innermost groups first
Known quantities
proper fractions
Terminating decimal
22. A value such as 6^3 can described as
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23. Lines in the same plane that do not intersect. The symbol //
right angle
Negative-value integers
parallelogram
parallel lines
24. The number being divided is called the
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
dividend
Step 2 of Converting Improper Fractions to Mixed Numbers
median
25. The absolute value of numbers is indicated by
proportion
enclosing the numbers in a pair of vertical lines | |
Known (Given) and Unknown (Sought)
Axiom II.
26. The whole-number system uses only ten characters -0 through 9.
inverse operations
Is zero
The Decimal Numbering System
isosceles triangle
27. To make a fraction easier to work with by taking out common factors
scalene triangle
supplementary angles
simplify
Converting Improper Fractions to Mixed Numbers
28. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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29. When will a decimal Not terminate and why?
obtuse angle
Unknown quantities
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
equivalent
30. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Species
improper fraction
2
One... the number 2
31. Anything that may be increased or diminished
proper fraction
simplify
Quantity
Inserting a zero at the left end of a whole number
32. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
integer values
Homogenous or Heterogenous
Axiom IX.
33. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
2^3 = 8
Fractions allow you to plot values between whole numbers and integers.
x-coordinate
Odd
34. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
reduced fraction
exactly the same portion
median
right angle
35. The exact procedure for adding signed integers depends upon
whether the addends have the same sign or opposite signs
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Number
Original + Change = New Change/Original = Percent Change
36. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
mixed number
To add integers that have the same sign (both positive or both negative):
Known quantities
37. Every lesser number is contained in a greater more than once.
(Last - First + 1)
Axiom VIII.
mixed number
The Ratio of Any two of the following: Original - Change and New
38. A number with an exponent of 3 is often said to be
cubed
multiplier
Is zero
Even
39. By the last letters (u - x - y - etc.)
quotient
x-coordinate
Known quantities
Whole
40. The result of dividing one number by another; the solution to a division problem
Axiom VI.
Every integer between 1 and X - inclusive - must be a factor of X
quotient
1
41. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
Axiom IV.
before solving
quotient
42. A number with an exponent of 2 is often said to be
Greater
Both
complementary angles
squared
43. 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
axiom
sum
Negative-value integers
pentagon
44. To indicate the subtraction operation - to indicate a negative integer value
mixed fractions
whether the addends have the same sign or opposite signs
squared
A minus sign ( - ) is used for two entirely different purposes:
45. Signs of grouping may be nested
Computation
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
contains only a single number
equal to itself.
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
reflection
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
The rule for adding negative integers is the same as the rule for adding positive integers:
mixed number
47. A parallelogram with four right angles
rectangle
Change + - Original = New
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.
inverse operations
48. A polygon that has four sides
The Decimal Numbering System
lowercase Variables
quadrilateral
Power notation
49. Factors may be multiplied in any order.
'five squared'
commutative law of multiplication
Wage Rate ($ per hr) x Hrs worked
congruent
50. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
To add integers that have the same sign both positive or both negative:
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
Sale Price - Unit Cost