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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. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Revenue ($) - Cost ($)
absolute value
The rule for adding negative integers is the same as the rule for adding positive integers:
A plus sign (+) is used for two entirely different purposes:
2. Unit Profit = ?
The Ratio of Any two of the following: Original - Change and New
When the addends have the same sign both + or both -
vertex (vertices - plural)
Sale Price - Unit Cost
3. 3/2 - 8/3 - -16/5 - 7/7
Unknown quantities
congruent
improper fractions
To add integers that have the same sign both positive or both negative:
4. Even X Even = ? ... and is div. by ?
diameter
simplify
Even div. by 4
2^3 = 8
5. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
Inserting a zero at the left end of a whole number
Greater
divisor
6. When will a decimal terminate and why?
lowest terms
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.
exactly the same portion
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
7. An equation stating that two ratios are equal
proportion
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
prime number
square unit
8. The method for indicating the power of a number
inverse operations
base
Power notation
( (Last - First) / Increment ) + 1
9. A polygon that has four sides.
range
divisor
Axiom III.
quadrilateral
10. 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 intege
There are two parts in the procedure for subtracting signed integers:
Computation
Number
Fractions allow you to plot values between whole numbers and integers.
11. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
(Last - First + 1)
mixed fractions
proper fraction
The concept of trading decimal places and how it works
12. What is the increment of a set of consecutive integers?
dividend
proper fractions
1
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
13. Is equal to the original value. a x 1 = 1
higher terms
Positive-value integers
Any value multiplied by one
proportion
14. A value that combines a whole number and a fractional amount
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
supplementary angles
0
mixed number
15. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
mixed number
Even
Odd
before solving
16. Includes an integer as well as a fractional part
combination of addition and subtraction
Even
mixed number
complementary angle
17. Is the disagreement of things in Quantity.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Inequality
When the addends have opposite signs one is + and the other is -
prime factorization
18. A combination of numbers and variables connected by one or more operations signs
expression
y-axis
Unit Cost + Markup
factor
19. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
1
'six cubed'
sum
20. 'y percent less than' = ?
the same point on the number line
Arithmetic - Music - Geometry and Astronomy
Computation
1 - (y/100)
21. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
rectangle
farther to the left on the number line
cubed
22. A unit for measuring area
supplementary angles
2
lowercase Variables
square unit
23. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
difference
Homogenous or Heterogenous
Being divided by a power of 10
24. Total Sales or Revenue = ?
Being divided by a power of 10
Species
Unit Price x Qty. Sold
right triangle
25. The result of dividing one number by another; the solution to a division problem
quotient
rectangle
octagon
prime number
26. 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.
Step 1 of Converting mixed numbers to improper fractions
rectangle
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?
proper fractions
27. All the positive whole numbers
Proof
A = (Base x Height) / 2 - A = (BH)/2
Is equal to the original value
integer values
28. The ratio of a number to 100 (per one hundred); the symbol %
Homogenous or Heterogenous
percent
both integers are positive or both are negative
mixed fraction
29. The exact procedure for adding signed integers depends upon
exactly the same portion
whether the addends have the same sign or opposite signs
mean
complementary angle
30. Whole is equal in Multitude to a Part of the other.
absolute value
before solving
Computation
Equal
31. Every number is contained in itself once.
Even and Odd
prism
improper fractions
Axiom VII.
32. Things are Equal in Magnitude when they are
referred to the same Unit
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.
Axiom VII.
Both
33. The two kinds of Multitude
combination of addition and subtraction
Absolute and Relative
enclosing the numbers in a pair of vertical lines | |
before solving
34. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
commutative law of multiplication
Relative multitude
quadrant
35. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
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
Odd
trapezoid
improper fraction
36. Everything may be assumed as unity.
Step 1 of Converting Improper Fractions to Mixed Numbers
Axiom I.
Odd
product
37. In a group of values - the value that occurs most often.
mode
Unit Price x Qty. Sold
Axiom III.
congruent
38. The number doing the dividing is called the
proper fraction
divisor
'five squared'
dividend
39. In a division problem - the number that an amount is divided by
quotient
Revenue ($) - Cost ($)
divisor
Whole Numbers
40. The formula for the Area of a Rhombus is?
Revenue ($) - Cost ($)
A plus sign (+) is used for two entirely different purposes:
diameter
A = (Diagonal1 x Diagonal2) / 2
41. Cross-multiply
Reducing: The Brute-Force Method
To find out - easily - if one fraction is bigger than another
To square an equation to solve it
mixed number
42. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
Even
1
lowercase Variables
Inserting a zero at the left end of a whole number
43. Original x (1 - x/100) = New
Change + - Original = New
A = (D1 x D2) / 2
diameter
Percent Decrease Formula
44. The whole-number system uses only ten characters -0 through 9.
A minus sign ( - ) is used for two entirely different purposes:
Wage Rate ($ per hr) x Hrs worked
right angle
The Decimal Numbering System
45. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Decreases
rectangle
greatest common factor (GCF)
46. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
equal to 1
range
radius
Even or Non-Int
47. 1/2 - 1/3 - 2/3 - -5/8
Original + Change = New Change/Original = Percent Change
mode
Converting mixed numbers to improper fractions.
proper fractions
48. 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.
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
x = (+-) a
quadrilateral
Same units
49. A triangle with two equal sides and two equal angles
quadrilateral
Even
isosceles triangle
Zero multiplied by any value
50. The study of quantity
Odd
Mathematics
Any value multiplied by one
simplify