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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. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Proof
mean
The rule for adding negative integers is the same as the rule for adding positive integers:
inverse operations

2. A number that tells how many times the base is multiplied by itself
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
product
exponent
1

3. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
numerator
improper fractions
When you are absolutely sure the variable or expression <> 0
Sum of Interior Angles of a Polygon: (n - 2) x 180

4. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
area
whether the addends have the same sign or opposite signs
cross product
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

5. The whole-number part of the mixed number is the whole-number part of the
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
lowest terms
Decreases
quotient

6. The numerator is smaller than the denominator
Same units
improper fractions
percent
proper fraction

7. Profit = ?
Revenue ($) - Cost ($)
Zero multiplied by any value
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
proper fraction

8. A number that is not a prime number is called a
When the addends have opposite signs one is + and the other is -
composite number
2^3 = 8
product

9. Whole is equal in Multitude to a Part of the other.
Positive-value integers
Equal
Even
Original + Change = New Change/Original = Percent Change

10. 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
mixed fraction
When to use the Heavy Division Shortcut - and how to do it
Even
Aliquot and Aliquant Parts

11. 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.
Axiom X.
composite number
2 and/or 5 only
Axiom VII.

12. Two angles whose sum is 180 degrees
mixed number
Aliquant Part
supplementary angles
When to use the Heavy Division Shortcut - and how to do it

13. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
x/100
A sum of 2 primes is Odd
To add integers that have the same sign both positive or both negative:
similar figures

14. 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
62.5%
octagon
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Step 2 of Converting Improper Fractions to Mixed Numbers

15. A parallelogram with all sides equal and congruent
dividing the numerator and denominator by the same number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
rhombus
Even

16. The study of quantity
1
unit ratio
square root
Mathematics

17. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
Odd or Non-Int
mixed number
The bottom side of the triangle

18. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
mixed fraction
Odd
Evaluating Powers With Negative Exponents
2

19. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Original + Change = New Change/Original = Percent Change
Step 1 of Converting mixed numbers to improper fractions
parallelogram
Step 1 of Converting Improper Fractions to Mixed Numbers

20. A mathematical sentence that uses an equal sign
mixed fractions
A minus sign ( - ) is used for two entirely different purposes:
equation
Axiom X.

21. The Sum of n consecutive integers is divisible by n if n is
Odd
When the addends have opposite signs one is + and the other is -
Some integer/Some Power of 10
mixed fraction

22. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
Mathematics
range
Is equal to the original value

23. Includes an integer as well as a fractional part
mixed number
right triangle
Axiom IX.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

24. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
product
Known quantities
lowest terms

25. 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').
Whole Numbers
There are two parts in the procedure for subtracting signed integers:
Homogenous or Heterogenous
(Last - First + 1)

26. What is the only Even prime number?
Odd
2
( (Last - First) / Increment ) + 1
A = (Base x Height) / 2 - A = (BH)/2

27. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Revenue ($) - Cost ($)
Axiom V.
Even
composite number

28. Every lesser number is contained in a greater more than once.
axiom
pentagon
fraction or broken number
Axiom VIII.

29. Basic Number Properties and elementary operations.
62.5%
Known quantities
Number Systems
Aliquant Part

30. 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
2 and/or 5 only
rhombus
There are two parts in the procedure for subtracting signed integers:

31. An angle measuring more than 90 degrees and less than 180 degrees
Same units
obtuse angle
rate
Sale Price - Unit Cost

32. A number that is a multiple of all denominators in a problem.
change the operation from subtraction to addition
Odd
common denominator
A = (D1 x D2) / 2

33. Is Always perpendicular (at 90 deg. to) the base!
The height of a triangle
Adding negative integers will always produce a negative sum
( (Last - First) / Increment ) + 1
supplementary angles

34. The exact procedure for adding signed integers depends upon
circumference
whether the addends have the same sign or opposite signs
Always completed first
Even

35. Every quantity is equal to itself.
prime factorization
To add integers that have the same sign both positive or both negative:
Axiom II.
Odd

36. A triangle with sides of different lengths and no two angles are the same
x = (+-) a
mixed fractions
Inserting a zero at the left end of a whole number
scalene triangle

37. Reversed position or direction
inverse
area
Fractions allow you to plot values between whole numbers and integers.
1

38. How many Even primes are there?
prime number
One... the number 2
prime factorization
congruent

39. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
Axiom III.
A = (D1 x D2) / 2
rate

40. Change/Original = New
A plus sign (+) is used for two entirely different purposes:
expression
The bottom side of the triangle
Percent Change

41. 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.
right triangle
Zero multiplied by any value
Inserting a zero at the left end of a whole number
A plus sign (+) is used for two entirely different purposes:

42. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
Sale Price - Unit Cost
greatest common factor (GCF)
the denominator of the original improper fraction

43. An eight-sided polygon
To add integers that have opposite signs:
octagon
simplify
Zero multiplied by any value

44. The formula for the Area of a Rhombus is?
Converting mixed numbers to improper fractions.
mixed fractions
Even
A = (Diagonal1 x Diagonal2) / 2

45. Operations enclosed in a sign of grouping
Always completed first
A = (Diagonal1 x Diagonal2) / 2
dividing the numerator and denominator by the same number
parallel lines

46. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Original x (1 - x/100) = New
inverse operations
numerator
hexagon

47. An angle that measures 90 degrees
proportion
right angle
from left to right
divisor

48. The figure formed when two rays meet at a common endpoint called a vertex.
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
ratio
Odd
angle

49. 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.
When numbers do not divide evenly
Step 1 of Converting Improper Fractions to Mixed Numbers
product
The Ratio of Any two of the following: Original - Change and New

50. The two kinds of Multitude
Even - Odd or Non-Int
Absolute and Relative
1
angle