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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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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 triangle with one right angle
y-coordinate
congruent
rectangle
right triangle

2. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Absolute and Relative
Equality
A = (D1 x D2) / 2
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

3. ' x percent' = ?
Long Division
base
x/100
Zero (0)

4. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Even
2
prime factorization
Odd

5. 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.
simplify
The concept of trading decimal places and how it works
numerator
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

6. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Mathematics
perimeter
factoring

7. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
rectangle
Axiom VI.
prime number
exponent

8. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
product
improper fraction
2 and/or 5 only

9. The two kinds of Magnitude are
parallelogram
Reducing by the Largest Common Factor (LCF)
Magnitude at Rest and Magnitude in Motion
acute angle

10. Factors may be multiplied in any order.
Different Units
equal to itself.
Unity - or a Unit
commutative law of multiplication

11. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
circumference
Multitudes and Magnitudes
2 and/or 5 only

12. The sum of a group of numbers divided by the number of numbers; also known as the average
denominator
Magnitude at Rest and Magnitude in Motion
quotient
mean

13. Any value divided by one
one is positive and the other is negative
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Is equal to the original value
reciprocal

14. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Axiom VIII.
When numbers do not divide evenly
Known quantities
Even

15. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
mixed number
Power notation
pyramid

16. When working with nested signs of grouping
To add integers that have opposite signs:
Reducing fractions
median
always clear the innermost groups first

17. The vertical number line of a coordinate graph
lowercase letters
x/100
When you are absolutely sure the variable or expression <> 0
y-axis

18. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
absolute value
Unit Price x Qty. Sold
Inequality
Axiom X.

19. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
1
equal to 1 divided by that number with a positive exponent
the denominator of the original improper fraction

20. A triangle with one right angle
ratio
reciprocal
x-axis
right triangle

21. What are the properties of the diagonals of a Rhombus?
hexagon
when there are explicit or implicit equations in the problem:
product
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

22. A quadrilateral with one pair of parallel sides
trapezoid
1
Axiom V.
Both

23. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
congruent
To square an equation to solve it
The rule for adding negative integers is the same as the rule for adding positive integers:
dividend

24. A polygon with six sides.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Even
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
hexagon

25. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
hexagon
trapezoid
combination of addition and subtraction
inverse operations

26. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
scalene triangle
To add integers that have opposite signs:

27. Change/Original = New
Step 1 of Converting mixed numbers to improper fractions
Percent Change
2 and/or 5 only
(Last - First + 1)

28. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
Axiom VII.
When you are absolutely sure the variable or expression <> 0
pentagon

29. The result of muliplying two or more numbers
reciprocal
Inserting a zero at the left end of a whole number
Composite number
product

30. Having the same value
equivalent
congruent
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
simplify

31. The lower number in a fraction is the
denominator
Composite number
Unit Price x Qty. Sold
simplify

32. The exact procedure for adding signed integers depends upon
probability
scale drawing
whether the addends have the same sign or opposite signs
median

33. A ratio that shows the cost per unit of measure
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
unit ratio
Relative multitude
ratio

34. 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.
mixed number
composite number
Negative-value integers
Axiom VII.

35. Two numbers listed in a specific order; it describes a point on the coordinate graph
Inserting a zero at the left end of a whole number
quotient
ordered pair
quotient

36. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
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.
quadrilateral
diameter

37. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
unit ratio
product
To square an equation to solve it
equal to 1 divided by that number with a positive exponent

38. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
parallelogram
One... the number 2
When to use fractions

39. What's the reciprocal of v6 - and why?
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
The rule for adding negative integers is the same as the rule for adding positive integers:
square root
Odd

40. 1 to any power is equal to
roots of numbers
Axiom VIII.
Subtracting Signed Integers
1

41. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
integers
vertex (vertices - plural)
Step 1 of Converting Improper Fractions to Mixed Numbers
median

42. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Some integer/Some Power of 10
Relative multitude
the denominator of the original improper fraction
Inserting a zero at the right end of a whole number

43. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
5/8
Odd
hexagon
Composite number

44. The denominator of the fraction part of the mixed number is
unit ratio
Inequality
the denominator of the original improper fraction
Step 2 of Converting mixed numbers to improper fractions

45. The number doing the dividing is called the
divisor
Always completed first
Axiom IX.
prism

46. A ratio that shows the cost per unit of measure
quotient
Inequality
unit ratio
Greater

47. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Unity - or a Unit
Carry the 10's digit of the product to the top of the 10's column of factors.
Aliquant Part
polygon

48. To make a fraction easier to work with by taking out common factors
Axiom VIII.
Original x (1 - x/100) = New
referred to the same Unit
simplify

49. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
vertex (vertices - plural)
factor
Odd
cylinder

50. The result of dividing one number by another; the solution to a division problem
x/100
quotient
x-coordinate
Some integer/Some Power of 10