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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. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Mathematics
complementary angle
Terminating decimal
median
2. 1 to any power is equal to
Wage Rate ($ per hr) x Hrs worked
radius
expression
1
3. A polygon that has four sides.
1
quadrilateral
prime number
square unit
4. A fraction with all common factors (other than 1) factored out of the numerator and denominator
common denominator
denominator
numerator
lowest terms
5. The vertical number line of a coordinate graph
Unit Price x Qty. Sold
y-axis
referred to Unity in the same way
reciprocal
6. The result of the division called the
the Complement of that part to the whole
quotient
square unit
exponent
7. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
0.625
straight angle
fraction or broken number
equation
8. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
obtuse angle
mixed fractions
composite number
Parts
9. Species are distinguished into
Percent Decrease Formula
Evaluating Powers With Negative Exponents
Known (Given) and Unknown (Sought)
y-coordinate
10. A number with an exponent of 2 is often said to be
squared
Shift DP 2 places right
order of operations
congruent
11. 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
perimeter
difference
dividend
12. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
square unit
Converting Improper Fractions to Mixed Numbers
To add integers that have the same sign (both positive or both negative):
UnitPrice ($/unit) x Qty.Purchas'd (units)
13. A ratio that shows the cost per unit of measure
unit ratio
Even div. by 4
commutative law of multiplication
Is zero
14. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Subtracting Signed Integers
A = (Diagonal1 x Diagonal2) / 2
Decreases
2
15. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
Odd or Non-Int
To square an equation to solve it
the denominator of the original improper fraction
16. Reducing fractions is
2
denominator
2^3 = 8
dividing the numerator and denominator by the same number
17. Is equal to the original value. a x 1 = 1
A = (Diagonal1 x Diagonal2) / 2
exponent
order of operations
Any value multiplied by one
18. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Unknown quantities
A = (D1 x D2) / 2
To make sure to solve for Both cases.
When to use fractions
19. A number that is a multiple of all denominators in a problem.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
UnitPrice ($/unit) x Qty.Purchas'd (units)
dividend
common denominator
20. The numerator of the fraction part of the mixed number is the remainder from the
Zero (0)
pyramid
quotient
product
21. The base of a triangle refers to?
median
square unit
The bottom side of the triangle
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
22. Is Always perpendicular (at 90 deg. to) the base!
The height of a triangle
product
perimeter
Quantity
23. An equation stating that two ratios are equal
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
proportion
exactly the same portion
change the operation from subtraction to addition
24. The action of the mind whereby a quantity is measured by Unity or a Unit.
divisor
quadrant
To convert any fraction to higher terms
Computation
25. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
reciprocal
change the operation from subtraction to addition
2^3 = 8
Axiom V.
26. Switch to a number-picking strategy
sum
diameter
integer values
Alternative to the algebraic manipulation method to solving a VIC
27. Change + - Original = New
x-axis
Change / Original Formula?
Axiom VIII.
always clear the innermost groups first
28. Sale Price = ?
Unit Cost + Markup
x-coordinate
Whole
x-axis
29. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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30. Having the same value
factoring
composite number
Is equal to the original value
equivalent
31. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
mixed number
perimeter
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:
32. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
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
To add integers that have opposite signs:
x/100
33. A polygon that has four sides
probability
commutative law of multiplication
product
quadrilateral
34. Reversed position or direction
A = (Diagonal1 x Diagonal2) / 2
Evaluating Powers With Negative Exponents
inverse
Revenue ($) - Cost ($)
35. 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.
Whole
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
factor
Long Division
36. A polygon with six sides.
equal to 1 divided by that number with a positive exponent
Zero (0)
hexagon
Unit Cost + Markup
37. 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?
unit ratio
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.
Inserting a zero at the right end of a whole number
referred to the same Unit
38. All the positive whole numbers
62.5%
When the addends have opposite signs one is + and the other is -
reduced fraction
integer values
39. 1/2 - 1/3 - 2/3 - -5/8
quadrant
proper fractions
mean
Number
40. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
acute angle
Change / Original Formula?
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.
41. Original x (1 - x/100) = New
exactly the same portion
reciprocal
Known quantities
Percent Decrease Formula
42. Profit = ?
exactly the same portion
Revenue ($) - Cost ($)
mixed fractions
combination of addition and subtraction
43. 5/8 --> Decimal ?
Even
The sum of all the integers from 20 to 100 - inclusive
The bottom side of the triangle
0.625
44. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
lowercase Variables
exponent
Inserting a zero at the left end of a whole number
factor
45. What is the increment of a set of consecutive integers?
1
Every integer between 1 and X - inclusive - must be a factor of X
Odd
integers
46. Two angles whose sum equals 90 degrees.
mean
complementary angles
lowest terms
parallelogram
47. Method: convert Decimal to Percent?
Shift DP 2 places right
2
x = (+-) a
Shift DP 2 places left
48. The formula for the Area of a Rhombus is?
Even or Non-Int
rectangle
A = (Diagonal1 x Diagonal2) / 2
straight angle
49. Two angles whose sum is 180 degrees
The Decimal Numbering System
square root
Axiom IV.
supplementary angles
50. Odd +/- ____ = Odd
Odd
Even
composite number
(Last - First + 1)