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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 number that is a factor of two or more numbers.
axiom
trapezoid
common factor
putting that number over 1
2. 5/8 --> Decimal ?
the Complement of that part to the whole
0.625
Axiom III.
Is equal to the original value
3. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
improper fraction
Sum of Interior Angles of a Polygon: (n - 2) x 180
y-coordinate
expression
4. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
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
diameter
pi
improper fractions
5. The number to be multiplied by is called the
multiplier
percent
lowercase letters
Axiom II.
6. The upper number in a fraction is the
improper fractions
Step 1 of Converting Improper Fractions to Mixed Numbers
numerator
Long Division
7. One number is said to be greater than (>) another when it is
When you are absolutely sure the variable or expression <> 0
Quantity
x-coordinate
farther to the right on the number line.
8. The ratio of integers that results in a terminating decimal
Even
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.
Percent Decrease Formula
Some integer/Some Power of 10
9. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
Adding negative integers will always produce a negative sum
Relative multitude
62.5%
10. By the first letters of the alphabet (a - b - c - d - etc..)
ratio
Increases the value.
Change / Original Formula?
Unknown quantities
11. Part of the population that is studied to find the characteristics of the whole population.
sample
Any value multiplied by one
farther to the left on the number line
expression
12. The four Mathematical arts are:
Unit Price x Qty. Sold
parallel lines
mixed fraction
Arithmetic - Music - Geometry and Astronomy
13. Change/Original = New
they have the same absolute value
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
multiplicand
Percent Change
14. To indicate the addition operation- to indicate a positive integer value
farther to the left on the number line
A plus sign (+) is used for two entirely different purposes:
Aliquot and Aliquant Parts
divisor
15. A parallelogram with four right angles
rectangle
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
Axiom X.
mixed fraction
16. Breaking down a composite number until all of the factors are prime
improper fractions
rhombus
similar figures
prime factorization
17. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
order of operations
Line Segments
Both
Sum of Interior Angles of a Polygon: (n - 2) x 180
18. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
'six cubed'
Absolute and Relative
prime number
composite number
19. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Even div. by 4
perimeter
Odd
scale drawing
20. Cross-multiply
product
To find out - easily - if one fraction is bigger than another
commutative law of multiplication
congruent
21. In order to understand and use exponents that are fractions or decimals - you must first know about
trapezoid
roots of numbers
Being divided by a power of 10
simplify
22. The amount that remains after one number has been subtracted from another
difference
Species
rectangle
Even
23. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
equal to 1 divided by that number with a positive exponent
lowest terms
lowercase Variables
24. A quadrilateral with two pairs of congruent - parallel sides.
complementary angles
polygon
parallelogram
lowercase Variables
25. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Composite number
fraction or broken number
composite number
To square an equation to solve it
26. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mode
To add integers that have the same sign (both positive or both negative):
squared
percent
27. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
median
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Zero multiplied by any value
28. The result of the multiplication is called the
Long Division
Is equal to the original value
product
reciprocal
29. Sale Price = ?
Increases the value.
Unit Cost + Markup
common denominator
cylinder
30. A triangle that has three equal sides and three equal angles
Percent Change
Every integer between 1 and X - inclusive - must be a factor of X
equilateral triangle
common factor
31. A self-evident statement - that is - one that does not need to be demonstrated.
Magnitude
simplify
axiom
greatest common factor (GCF)
32. What is the increment of a set of consecutive integers?
1
ratio
improper fractions
More
33. When the factors of a number are all prime numbers - the factors are said to be the
equal to 1 divided by that number with a positive exponent
product
pyramid
prime factors
34. Where do fractions occur on a number line?
Revenue ($) - Cost ($)
Fractions allow you to plot values between whole numbers and integers.
rate
'six cubed'
35. The numerator of the fraction part of the mixed number is the remainder from the
quotient
mixed number
diameter
always clear the innermost groups first
36. Profit = ?
proper fraction
y-coordinate
Axiom X.
Revenue ($) - Cost ($)
37. The two kinds of Magnitude are
equation
unit ratio
Magnitude at Rest and Magnitude in Motion
lowercase letters
38. The result of the division called the
Even or Non-Int
change the operation from subtraction to addition
quotient
x-axis
39. Is equal to zero. 0 x a = 0
Zero multiplied by any value
Long Division
1
Always completed first
40. The Sum of n consecutive integers is Not divisible by n if n is
Same units
multiplicand
Even
y-axis
41. Method: convert Decimal to Percent?
Shift DP 2 places right
straight angle
parallelogram
always clear the innermost groups first
42. A whole number that has only one set of factors - itself and 1.
prime number
Sale Price - Unit Cost
perimeter
y-axis
43. A number that tells how many times the base is multiplied by itself
To add integers that have the same sign (both positive or both negative):
Composite number
denominator
exponent
44. Species of Quantities are signified by
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
Unknown quantities
lowercase letters
UnitPrice ($/unit) x Qty.Purchas'd (units)
45. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
before solving
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.
integer or whole number
pyramid
46. 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.
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?
mean
Adding negative integers will always produce a negative sum
both integers are positive or both are negative
47. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Step 2 of Converting mixed numbers to improper fractions
The Ratio of Any two of the following: Original - Change and New
Even
factor
48. A triangle with one right angle
right triangle
hexagon
circumference
putting that number over 1
49. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
The height of a triangle
Converting Improper Fractions to Mixed Numbers
Species
equal to itself.
50. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
dividing the numerator and denominator by the same number
The Decimal Numbering System
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
inverse operations