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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. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Aliquot Part
There are two parts in the procedure for subtracting signed integers:
Inserting a zero at the right end of a whole number
simplify

2. Two angles whose sum equals 90 degrees
Reducing: The Brute-Force Method
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
complementary angle
mixed number

3. Things are Equal in Multitude when they are
referred to Unity in the same way
Species
polygon
divisor

4. A parallelogram with four right angles
rectangle
complementary angles
prism
y-axis

5. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
the denominator of the original improper fraction
Terminating decimal
x = (+-) a

6. In a group of values - the value that occurs most often.
prism
cubed
mode
Odd

7. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Odd
( (Last - First) / Increment ) + 1
base

8. 'y percent less than' = ?
1 - (y/100)
factoring
To make sure to solve for Both cases.
Reducing: The Brute-Force Method

9. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
farther to the right on the number line.
Mathematics
expression

10. Method: convert Percent to Decimal?
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
Shift DP 2 places left
Odd
Different Units

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.
Decreases
similar figures
composite number
( (Last - First) / Increment ) + 1

12. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
mean
x-coordinate
A = (D1 x D2) / 2

13. The absolute value of numbers is indicated by
Odd
enclosing the numbers in a pair of vertical lines | |
sample
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.

14. What are the 2 'percent change' equations?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
( (Last - First) / Increment ) + 1
hexagon
Original + Change = New Change/Original = Percent Change

15. When will a decimal Not terminate and why?
Always completed first
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
median
Step 1 of Converting Improper Fractions to Mixed Numbers

16. The two kinds of parts
cubed
square root
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?
Aliquot and Aliquant Parts

17. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
The bottom side of the triangle
always clear the innermost groups first
Unity - or a Unit

18. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
factoring
higher terms
right angle
How the Last Digit Shortcut works

19. A number with an exponent of 3 is often said to be
ratio
the denominator of the original improper fraction
cubed
Converting mixed numbers to improper fractions.

20. An angle measuring more than 90 degrees and less than 180 degrees
reciprocal
obtuse angle
Aliquot and Aliquant Parts
Being divided by a power of 10

21. By the last letters (u - x - y - etc.)
A = (Diagonal1 x Diagonal2) / 2
reduced fraction
Known quantities
Axiom X.

22. A number that is a factor of two or more numbers.
mixed number
parallelogram
common factor
farther to the left on the number line

23. If 2 numbers are OPPOSITES of each other
supplementary angles
they have the same absolute 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
Mathematics

24. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign (both positive or both negative):
circumference
improper fractions
fraction or broken number

25. To indicate the subtraction operation - to indicate a negative integer value
Increases the value.
sum
A minus sign ( - ) is used for two entirely different purposes:
quotient

26. Indicates the number of times the base is to be multiplied
exponent
Reducing by the Largest Common Factor (LCF)
product
Even and Odd

27. Species and Number may be
Same units
mode
Homogenous or Heterogenous
Shift DP 2 places left

28. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
equal to itself.
higher terms
dividing the numerator and denominator by the same number

29. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
change the operation from subtraction to addition
To square an equation to solve it
mixed fractions
To add integers that have opposite signs:

30. The horizontal number line of a coordinate graph
supplementary angles
x-axis
Decimals/Percents
Even

31. A parallelogram with four right angles
factors of the multiplication operation
rectangle
lowercase letters
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

32. 3 ways to solve an absolute value inequality
least common multiple (LCM)
Revenue ($) - Cost ($)
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
Shift DP 2 places left

33. A known quantity we refer to as One.
supplementary angles
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Unity - or a Unit
0

34. A unit for measuring area
square unit
referred to Unity in the same way
divisor
Axiom I.

35. A triangle with sides of different lengths and no two angles are the same
lowercase Variables
quotient
scalene triangle
mixed fraction

36. Rules that tell which steps to follow when solving an expression
x-axis
order of operations
proper fraction
Even and Odd

37. 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
multiplicand
To make sure to solve for Both cases.
circumference

38. A number with an exponent of 2 is often said to be
Sale Price - Unit Cost
Unit Price x Qty. Sold
squared
diameter

39. .625 --> Percent?
product
Zero multiplied by any value
62.5%
proportion

40. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
integer or whole number
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
octagon
Step 2 of Converting mixed numbers to improper fractions

41. Change / Original Formula
Whole Numbers
Change + - Original = New
Aliquant Part
the same point on the number line

42. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Fractions allow you to plot values between whole numbers and integers.
farther to the left on the number line
To square an equation to solve it
equation

43. The lower number in a fraction is the
Unknown quantities
greatest common factor (GCF)
denominator
Shift DP 2 places right

44. Any whole number can be expressed in terms of the
one is positive and the other is negative
product
cross product
Even

45. Reducing fractions is
dividing the numerator and denominator by the same number
1
Terminating decimal
quotient

46. Always try to Factor a quadratic equation
complementary angle
quotient
before solving
cubed

47. Original x (1 - x/100) = New
the Complement of that part to the whole
product
Percent Decrease Formula
product

48. Two angles whose sum is 180 degrees
pi
integers
(Last - First + 1)
supplementary angles

49. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
factoring
'five squared'
right angle
There are two parts in the procedure for subtracting signed integers:

50. The difference between the least and greatest values in a set of numbers
range
lowest terms
Step 2 of Converting mixed numbers to improper fractions
Axiom VIII.