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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. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Magnitude
2
Both
Odd

2. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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3. A mathematical sentence that uses an equal sign
equation
mean
combination of addition and subtraction
To convert any fraction to higher terms

4. 0 to any power is equal to
supplementary angles
0
the denominator of the original improper fraction
scalene triangle

5. To indicate the addition operation- to indicate a positive integer value
1
multiplier
A plus sign (+) is used for two entirely different purposes:
y-coordinate

6. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Non-Int
Unit Price x Qty. Sold
inverse operations
complementary angle

7. 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
When to use the Heavy Division Shortcut - and how to do it
A = (Diagonal1 x Diagonal2) / 2
rectangle
1

8. Total Earnings ($) = ?
putting that number over 1
right triangle
Wage Rate ($ per hr) x Hrs worked
Non-Int

9. A comparison of the two values of two numbers
ratio
denominator
Proof
supplementary angles

10. Every lesser number is contained in a greater more than once.
Number Systems
'five squared'
Axiom VIII.
Revenue ($) - Cost ($)

11. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
UnitPrice ($/unit) x Qty.Purchas'd (units)
composite number
diameter
from left to right

12. A value such as 5^2 can be called

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13. What is the formula for: The Area of a Triangle ?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
proper fraction
To square an equation to solve it
A = (Base x Height) / 2 - A = (BH)/2

14. Cross-multiply
Even div. by 4
Reducing: The Brute-Force Method
Composite number
To find out - easily - if one fraction is bigger than another

15. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Step 1 of Converting mixed numbers to improper fractions
quotient
Even or Non-Int
vertex (vertices - plural)

16. Signs of grouping may be nested
Negative-value integers
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Greater
mean

17. The distance around a figure.
prime number
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
A sum of 2 primes is Odd
perimeter

18. A mirror image of a figure shown over a line of reflection
quadrant
circumference
reflection
dividend

19. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
The bottom side of the triangle
sum
similar figures
roots of numbers

20. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
change the operation from subtraction to addition
Proof
whether the addends have the same sign or opposite signs

21. 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.
Aliquot Part
they have the same absolute value
referred to Unity in the same way
When numbers do not divide evenly

22. Is the opposite of raising fractions to higher terms.
Reducing fractions
Odd
congruent
To convert any fraction to higher terms

23. A triangle with sides of different lengths and no two angles are the same
Axiom I.
scalene triangle
Both
quotient

24. The difference between the least and greatest values in a set of numbers.
Even
When the addends have opposite signs one is + and the other is -
Axiom IX.
range

25. The sum of a group of numbers divided by the number of numbers; also known as the average
unit ratio
Some integer/Some Power of 10
mean
Inserting a zero at the left end of a whole number

26. A ratio that shows the cost per unit of measure
Whole Numbers
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
unit ratio
To convert any fraction to higher terms

27. Even X Even = ? ... and is div. by ?
Odd
pyramid
Even div. by 4
contains only a single number

28. Change + - Original = New
perimeter
When numbers do not divide evenly
Homogenous or Heterogenous
Change / Original Formula?

29. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Zero (0)
equal to itself.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

30. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Zero multiplied by any value
mean
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
Negative-value integers

31. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Odd
ordered pair
A sum of 2 primes is Odd
pi

32. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
How the Last Digit Shortcut works
mixed number
Step 1 of Converting Improper Fractions to Mixed Numbers
To add integers that have opposite signs:

33. The terms Species and Number
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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.
right triangle
Quantity is expressed

34. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Even
mode
parallel lines
polygon

35. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
probability
1 and itself
pentagon

36. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
rhombus
order of operations
When the addends have the same sign both + or both -
supplementary angles

37. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Converting Improper Fractions to Mixed Numbers
Odd
The Decimal Numbering System
Even

38. The formula for the Area of a Rhombus is?
Zero (0)
congruent
A = (Diagonal1 x Diagonal2) / 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

39. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
The concept of trading decimal places and how it works
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ

40. All the positive whole numbers
(Last - First + 1)
integer values
square root
Sum of Interior Angles of a Polygon: (n - 2) x 180

41. One of the four regions formed by the intersection of the axes of a coordinate graph
mean
like fractions
quadrant
absolute value

42. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
When the addends have opposite signs one is + and the other is -
Mathematics
trapezoid
Terminating decimal

43. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
product
greatest common factor (GCF)
To add integers that have opposite signs:
before solving

44. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
equation
Even
proportion
Aliquot and Aliquant Parts

45. An angle measuring more than 90 degrees and less than 180 degrees
x/100
'five squared'
obtuse angle
Step 1 of Converting mixed numbers to improper fractions

46. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Odd
Number
Unit Price x Qty. Sold
Reducing: The Brute-Force Method

47. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
Species
exactly the same portion
rectangle

48. 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
Even
Equality
axiom

49. One number is said to be greater than (>) another when it is
squared
Axiom V.
Decimals/Percents
farther to the right on the number line.

50. Having the same size and shape
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
congruent
median
percent