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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. A statement that needs to be demonstrated and is called in Latin demonstrandum.
probability
y-axis
theorem
Wage Rate ($ per hr) x Hrs worked

2. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
least common multiple (LCM)
Positive-value integers
equal to itself.
always clear the innermost groups first

3. A mathematical sentence that uses an equal sign
The rule for adding negative integers is the same as the rule for adding positive integers:
dividend
equation
always clear the innermost groups first

4. By the first letters of the alphabet (a - b - c - d - etc..)
Converting mixed numbers to improper fractions.
ratio
composite number
Unknown quantities

5. The greater any number is in comparison to another - the more equal parts will it contain of that other.
ordered pair
There are two parts in the procedure for subtracting signed integers:
Axiom IX.
sum

6. What's the reciprocal of v6 - and why?
Quantity is expressed
complementary angle
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
divisor

7. A polygon with five sides
pentagon
x = (+-) a
product
Revenue ($) - Cost ($)

8. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
greatest common factor (GCF)
To add integers that have the same sign both positive or both negative:
Aliquot Part

9. Always perform combinations of multiplication and division before
combination of addition and subtraction
When you are absolutely sure the variable or expression <> 0
scale drawing
Number Systems

10. The number being divided is called the
vertex (vertices - plural)
proportion
Original x (1 - x/100) = New
dividend

11. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
they have the same absolute value
Even
Even and Odd
x/100

12. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
Axiom X.
cross product
Axiom II.

13. Two angles whose sum is 180 degrees
supplementary angles
cylinder
( (Last - First) / Increment ) + 1
Quantity is expressed

14. A sign of grouping can be omitted when it
To add integers that have opposite signs:
range
like fractions
contains only a single number

15. What are the rules for picking numbers in VICS?
Converting Improper Fractions to Mixed Numbers
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
cross product
denominator

16. The two kinds of Quantity are
Both
referred to the same Unit
Multitudes and Magnitudes
Odd

17. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
quotient
When to use fractions
When numbers do not divide evenly
product

18. Whole is equal in Multitude to a Part of the other.
Equal
parallelogram
when there are explicit or implicit equations in the problem:
To convert any fraction to higher terms

19. The whole-number part of the mixed number is the whole-number part of the
order of operations
rhombus
quotient
Carry the 10's digit of the product to the top of the 10's column of factors.

20. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
mixed fractions
when there are explicit or implicit equations in the problem:
commutative law of multiplication
Decimals/Percents

21. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
Relative multitude
simplify
x = (+-) a
y-coordinate

22. The distance around a figure.
perimeter
1
The Ratio of Any two of the following: Original - Change and New
sample

23. Reducing fractions is
dividing the numerator and denominator by the same number
radius
To add integers that have opposite signs:
like fractions

24. Having the same size and shape
Unit Cost + Markup
denominator
congruent
Different Units

25. The two kinds of Multitude
right triangle
Absolute and Relative
mode
ordered pair

26. A collection of things taken as a Unity. A bushel of wheat is a whole.
1 and itself
Whole
Fractions allow you to plot values between whole numbers and integers.
quotient

27. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
Original x (1 - x/100) = New
There are two parts in the procedure for subtracting signed integers:
commutative law of multiplication
The concept of trading decimal places and how it works

28. The whole is more or greater than its part.
Step 1 of Converting mixed numbers to improper fractions
Decimals/Percents
farther to the right on the number line.
Axiom IV.

29. 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?
mixed number
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.
Wage Rate ($ per hr) x Hrs worked
Multitude

30. Factors may be multiplied in any order.
commutative law of multiplication
one is positive and the other is negative
Arithmetic - Music - Geometry and Astronomy
Aliquot and Aliquant Parts

31. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
factor
perimeter
reciprocal
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

32. Odd x ? = Even
hexagon
Mathematics
A = (Base x Height) / 2 - A = (BH)/2
Even

33. The ratio of integers that results in a terminating decimal
Is zero
mixed number
Some integer/Some Power of 10
absolute value

34. By the last letters (u - x - y - etc.)
Different Units
dividing the numerator and denominator by the same number
Known quantities
congruent

35. Area of a Rhombus is?
from left to right
A = (D1 x D2) / 2
mixed number
Multitudes and Magnitudes

36. A triangle with two equal sides and two equal angles
Axiom V.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
isosceles triangle
1 - (y/100)

37. 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
Mathematics
When to use the Heavy Division Shortcut - and how to do it
quadrilateral
Odd or Non-Int

38. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Some integer/Some Power of 10
Even and Odd
Odd
Axiom X.

39. What is the formula forCounting consecutive integers?
change the operation from subtraction to addition
(Last - First + 1)
Axiom VII.
Whole Numbers

40. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Same units
Axiom II.
Aliquant Part
radius

41. Even X Even = ? ... and is div. by ?
Sale Price - Unit Cost
Axiom IX.
Even div. by 4
quotient

42. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
cross product
ratio
squared

43. An evenly-spaced set is fully-defined if what is known...?
Even
multiplicand
they have the same absolute value
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

44. TotalCost($) = ?

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45. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
Is equal to the original value
always clear the innermost groups first
right triangle

46. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
1 and itself
supplementary angles
Whole Numbers
Positive-value integers

47. The figure formed when two rays meet at a common endpoint called a vertex.
Number Systems
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
angle
Axiom X.

48. Any whole number can be expressed in terms of the
median
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.
sample
product

49. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
When to use fractions
right triangle
supplementary angles

50. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
reciprocal
circumference
vertex (vertices - plural)