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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. Adding integers that have opposite signs means
Axiom V.
equivalent
lowest terms
one is positive and the other is negative
2. A polygon with six sides.
equal to itself.
hexagon
Axiom II.
rectangle
3. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
inverse
when there are explicit or implicit equations in the problem:
Every integer between 1 and X - inclusive - must be a factor of X
parallelogram
4. Part of the population that is studied to find the characteristics of the whole population.
range
Relative multitude
mode
sample
5. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
Whole
To find out - easily - if one fraction is bigger than another
Non-Int
6. The largest single factor for two or more numbers.
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
Known quantities
equivalent
greatest common factor (GCF)
7. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
product
Sum of Interior Angles of a Polygon: (n - 2) x 180
prism
Greater
8. Sale Price = ?
acute angle
Unit Cost + Markup
exponent
equilateral triangle
9. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
The rule for adding negative integers is the same as the rule for adding positive integers:
polygon
1
parallelogram
10. Total Earnings ($) = ?
Zero multiplied by any value
When numbers do not divide evenly
Subtracting Signed Integers
Wage Rate ($ per hr) x Hrs worked
11. Unit Profit = ?
cross product
Magnitude at Rest and Magnitude in Motion
Whole Numbers
Sale Price - Unit Cost
12. Change + - Original = New
How the Last Digit Shortcut works
parallel lines
lowercase letters
Change / Original Formula?
13. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Both
like fractions
Inserting a zero at the right end of a whole number
higher terms
14. Are those things collected in a whole.
Parts
Greater
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
order of operations
15. Breaking down a composite number until all of the factors are prime
prime factorization
numerator
62.5%
Original + Change = New Change/Original = Percent Change
16. An angle that measures 180 degrees
Number Systems
right triangle
Is zero
straight angle
17. 0.625 --> Fraction ?
Evaluating Powers With Negative Exponents
5/8
When numbers do not divide evenly
Revenue ($) - Cost ($)
18. Has no sign value
Axiom IV.
Zero (0)
congruent
A = (D1 x D2) / 2
19. The upper number in a fraction is the
parallelogram
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.
farther to the left on the number line
numerator
20. The distance around a circle (the perimeter of a circle).
Quantity is expressed
circumference
Wage Rate ($ per hr) x Hrs worked
Even
21. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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22. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
putting that number over 1
Axiom IX.
numerator
perimeter
23. The method for indicating the power of a number
Sum of Interior Angles of a Polygon: (n - 2) x 180
Power notation
square root
'six cubed'
24. Profit = ?
To convert any fraction to higher terms
Evaluating Powers With Negative Exponents
2
Revenue ($) - Cost ($)
25. When are you allowed to divide by a variable - (or Any expression) ?
common factor
order of operations
When you are absolutely sure the variable or expression <> 0
Axiom VIII.
26. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
When to use the Heavy Division Shortcut - and how to do it
vertex (vertices - plural)
Even div. by 4
Every integer between 1 and X - inclusive - must be a factor of X
27. Things are Equal in Magnitude when they are
Negative-value integers
referred to the same Unit
Axiom X.
order of operations
28. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
Wage Rate ($ per hr) x Hrs worked
radius
1
29. The action of the mind whereby a quantity is measured by Unity or a Unit.
proper fractions
denominator
ordered pair
Computation
30. Two numbers listed in a specific order; it describes a point on the coordinate graph
mean
reciprocal
Axiom X.
ordered pair
31. Things are Equal in Multitude when they are
theorem
Any value multiplied by one
referred to Unity in the same way
Adding negative integers will always produce a negative sum
32. The study of quantity
dividend
percent
Mathematics
Shift DP 2 places right
33. Odd / Even = ? e.g. 9/6 = 1.5
cross product
common factor
pyramid
Non-Int
34. A parallelogram with four right angles
rectangle
1 and itself
Zero multiplied by any value
integer values
35. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
pi
lowercase Variables
Relative multitude
Alternative to the algebraic manipulation method to solving a VIC
36. The total of two or more numbers being added
square root
median
sum
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
37. The largest integer that can be divided evenly into both the numerator and denominator.
scalene triangle
Arithmetic - Music - Geometry and Astronomy
Reducing by the Largest Common Factor (LCF)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
38. A self-evident statement - that is - one that does not need to be demonstrated.
lowercase Variables
greatest common factor (GCF)
reciprocal
axiom
39. Quantities which are both equal to one and the same third are equal to one another.
angle
hexagon
Evaluating Powers With Negative Exponents
Axiom III.
40. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
hexagon
When to use the Heavy Division Shortcut - and how to do it
Percent Change
Zero multiplied by any value
41. The vertical number line of a coordinate graph
y-axis
Step 1 of Converting mixed numbers to improper fractions
equal to itself.
pentagon
42. The horizontal number line of a coordinate graph
Number
lowest terms
Whole Numbers
x-axis
43. TotalCost($) = ?
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44. The whole-number system uses only ten characters -0 through 9.
Even
The Decimal Numbering System
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
similar figures
45. Reducing fractions is
parallel lines
dividing the numerator and denominator by the same number
Negative-value integers
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.
46. The result of the division called the
Equality
right angle
quotient
Even
47. 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
supplementary angles
integer values
There are two parts in the procedure for subtracting signed integers:
Being divided by a power of 10
48. The vertical number line of a coordinate graph
Original x (1 - x/100) = New
y-axis
pyramid
prime number
49. Rules that tell which steps to follow when solving an expression
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
order of operations
quotient
Even div. by 4
50. One number is said to be less than (<) another when it is
perimeter
x-coordinate
farther to the left on the number line
complementary angles