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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. 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?
cross product
Revenue ($) - Cost ($)
integer or whole number
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.
2. 0 to any power is equal to
exactly the same portion
Equality
0
enclosing the numbers in a pair of vertical lines | |
3. The number doing the dividing is called the
divisor
difference
factor
Positive-value integers
4. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Axiom III.
Any value multiplied by one
Increases the value.
Multitude
5. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Even
Step 1 of Converting mixed numbers to improper fractions
Same units
Original x (1 - x/100) = New
6. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
diameter
equilateral triangle
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
7. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
pentagon
numerator
x-axis
8. Taken together - the multiplicand and multiplier are known as
Different Units
factors of the multiplication operation
When to use fractions
dividing the numerator and denominator by the same number
9. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
2 and/or 5 only
mixed number
Species
Is zero
10. Is the disagreement of things in Quantity.
prime factors
Converting mixed numbers to improper fractions.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Inequality
11. An eight-sided polygon
octagon
supplementary angles
Axiom IV.
parallelogram
12. Is equal to the original value. a x 1 = 1
area
putting that number over 1
Reducing fractions
Any value multiplied by one
13. By the last letters (u - x - y - etc.)
greatest common factor (GCF)
Known quantities
pentagon
Change / Original Formula?
14. Can have many different combinations of factors
Composite number
Relative multitude
Decimals/Percents
percent
15. A value that combines a whole number and a fractional amount
The sum of all the integers from 20 to 100 - inclusive
mixed number
Unit Price x Qty. Sold
Unity - or a Unit
16. 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.
the Complement of that part to the whole
y-coordinate
mixed number
composite number
17. Always try to Factor a quadratic equation
before solving
vertex (vertices - plural)
Revenue ($) - Cost ($)
unit ratio
18. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Unity - or a Unit
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
Known (Given) and Unknown (Sought)
Axiom X.
19. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Adding negative integers will always produce a negative sum
The rule for adding negative integers is the same as the rule for adding positive integers:
right triangle
divisor
20. Having the same value
1
composite number
Evaluating Powers With Negative Exponents
equivalent
21. All whole numbers (both positive and negative) and zero.
Shift DP 2 places left
integers
sum
diameter
22. Any number with a negative exponent
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
When the addends have the same sign both + or both -
How the Last Digit Shortcut works
equal to 1 divided by that number with a positive exponent
23. All the positive whole numbers
Magnitude
Multitudes and Magnitudes
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
integer values
24. Is equal to zero. 0 x a = 0
Zero multiplied by any value
To convert any fraction to higher terms
Even
base
25. An angle that measures 90 degrees
right angle
Is zero
improper fraction
To add integers that have opposite signs:
26. What is the increment of a set of consecutive integers?
Axiom IX.
Step 1 of Converting mixed numbers to improper fractions
square unit
1
27. 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
prism
polygon
Subtracting Signed Integers
To make sure to solve for Both cases.
28. Every lesser number is contained in a greater more than once.
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.
ordered pair
Axiom VIII.
product
29. Decreasing the Denominator of a fraction Increases/Decreases the value?
Increases the value.
whether the addends have the same sign or opposite signs
More
Unit Price x Qty. Sold
30. Total Sales or Revenue = ?
Unit Price x Qty. Sold
mean
x-coordinate
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
31. What is an evenly-spaced set?
lowercase Variables
roots of numbers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
axiom
32. An angle measuring more than 90 degrees and less than 180 degrees
Alternative to the algebraic manipulation method to solving a VIC
circumference
obtuse angle
Computation
33. The distance around a figure.
order of operations
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
perimeter
scalene triangle
34. Whole is equal in Multitude to a Part of the other.
Equal
Known quantities
fraction or broken number
when there are explicit or implicit equations in the problem:
35. The smallest multiple that two or more numbers have in common
pentagon
least common multiple (LCM)
commutative law of multiplication
right triangle
36. A number that is a multiple of all denominators in a problem.
common denominator
When numbers do not divide evenly
median
quotient
37. Surface space that is measured in square units
product
area
complementary angle
quotient
38. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Step 1 of Converting Improper Fractions to Mixed Numbers
prism
Relative multitude
circumference
39. The result of muliplying two or more numbers
denominator
divisor
Inequality
product
40. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
quotient
Greater
product
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
41. Reducing fractions is
pentagon
Increases the value.
dividing the numerator and denominator by the same number
from left to right
42. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
rate
Carry the 10's digit of the product to the top of the 10's column of factors.
pentagon
43. The absolute value of the numerator is smaller than the absolute value of the denominator.
Terminating decimal
proper fraction
theorem
numerator
44. What is the only Even prime number?
To add integers that have opposite signs:
x-coordinate
improper fraction
2
45. The largest integer that can be divided evenly into both the numerator and denominator.
from left to right
trapezoid
Relative multitude
Reducing by the Largest Common Factor (LCF)
46. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
Odd
Wage Rate ($ per hr) x Hrs worked
isosceles triangle
47. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
equal to 1
2^3 = 8
Equal
x = (+-) a
48. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
referred to Unity in the same way
equivalent
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
49. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Magnitude at Rest and Magnitude in Motion
More
ordered pair
Proof
50. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Change + - Original = New
higher terms
Negative-value integers
scale drawing