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CLEP General Mathematics: Arithmetic Basics

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. Total Earnings ($) = ?
integers
Wage Rate ($ per hr) x Hrs worked
obtuse angle
Reducing fractions

2. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
fraction or broken number
Even div. by 4
Mathematics

3. 3/2 - 8/3 - -16/5 - 7/7
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
improper fractions
There are two parts in the procedure for subtracting signed integers:
quadrilateral

4. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
pi
base
pentagon

5. A value such as 6^3 can described as

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6. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
mixed number
A sum of 2 primes is Odd
To make sure to solve for Both cases.

7. Part of the population that is studied to find the characteristics of the whole population.
sample
Known (Given) and Unknown (Sought)
reduced fraction
lowest terms

8. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
median
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
numerator

9. A triangle with sides of different lengths and no two angles are the same
quotient
scalene triangle
referred to the same Unit
right triangle

10. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
squared
Greater
Positive-value integers
More

11. Profit = ?
order of operations
Revenue ($) - Cost ($)
dividend
Odd

12. .625 --> Percent?
62.5%
The rule for adding negative integers is the same as the rule for adding positive integers:
complementary angle
Homogenous or Heterogenous

13. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
from left to right
ratio
prime number

14. Odd x ? = Even
Even
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
prime factorization
Same units

15. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
Alternative to the algebraic manipulation method to solving a VIC
Inequality
Axiom I.

16. Can have many different combinations of factors
radius
absolute value
Composite number
A plus sign (+) is used for two entirely different purposes:

17. 5/8 --> Decimal ?
Aliquot and Aliquant Parts
0.625
mixed number
Reducing fractions

18. If 2 numbers are OPPOSITES of each other
polygon
acute angle
they have the same absolute value
Known (Given) and Unknown (Sought)

19. Total Sales or Revenue = ?
Odd or Non-Int
Sale Price - Unit Cost
Unit Price x Qty. Sold
Zero (0)

20. A number that tells how many times the base is multiplied by itself
exponent
A = (Base x Height) / 2 - A = (BH)/2
1
range

21. A combination of numbers and variables connected by one or more operations signs
Inserting a zero at the right end of a whole number
Axiom V.
expression
order of operations

22. Quantities which are both equal to one and the same third are equal to one another.
rhombus
Axiom III.
x/100
circumference

23. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
quotient
expression
2

24. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
diameter
Axiom II.
To square an equation to solve it
Magnitude

25. Always perform combinations of multiplication and division before
factors of the multiplication operation
improper fraction
combination of addition and subtraction
quadrilateral

26. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
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.
To add integers that have the same sign both positive or both negative:
Axiom I.
lowest terms

27. What is the formula forCounting consecutive integers?
Magnitude at Rest and Magnitude in Motion
(Last - First + 1)
Odd
factor

28. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
right triangle
Some integer/Some Power of 10
dividing the numerator and denominator by the same number

29. All the positive whole numbers
Axiom VII.
prime number
integer values
exactly the same portion

30. The two kinds of Quantity are
multiplier
y-coordinate
one is positive and the other is negative
Multitudes and Magnitudes

31. An angle measuring more than 90 degrees and less than 180 degrees
There are two parts in the procedure for subtracting signed integers:
obtuse angle
Axiom I.
Aliquot Part

32. A parallelogram with all sides equal and congruent
Being divided by a power of 10
The Decimal Numbering System
The height of a triangle
rhombus

33. Any value divided by one
Is equal to the original value
vertex (vertices - plural)
Inserting a zero at the left end of a whole number
y-coordinate

34. A number with only two factors: the number itself and one.
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
denominator
integers
prime number

35. Profit = ?
Axiom VI.
Adding negative integers will always produce a negative sum
Even or Non-Int
Revenue ($) - Cost ($)

36. Things are Equal in Multitude when they are
Quantity is expressed
5/8
referred to Unity in the same way
square root

37. Every number is contained in itself once.
product
trapezoid
Axiom VII.
x-coordinate

38. All whole numbers (both positive and negative) and zero.
the denominator of the original improper fraction
pi
y-axis
integers

39. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
when there are explicit or implicit equations in the problem:
acute angle
exactly the same portion
Greater

40. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
combination of addition and subtraction
Evaluating Powers With Negative Exponents
( (Last - First) / Increment ) + 1
dividing the numerator and denominator by the same number

41. Lines in the same plane that do not intersect. The symbol //
equal to itself.
parallel lines
Parts
y-axis

42. Two angles whose sum is 180 degrees
radius
reduced fraction
supplementary angles
Odd

43. Any number with an exponent of 1
Even
improper fraction
equal to itself.
y-coordinate

44. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
mixed number
right angle
y-coordinate
change the operation from subtraction to addition

45. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
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
expression
Always completed first

46. By the first letters of the alphabet (a - b - c - d - etc..)
perimeter
inverse
Axiom III.
Unknown quantities

47. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
product
similar figures
More
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

48. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
When to use the Heavy Division Shortcut - and how to do it
simplify

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
Reducing fractions
equal to 1
When you are absolutely sure the variable or expression <> 0
Converting Improper Fractions to Mixed Numbers

50. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
common factor
mode
perimeter