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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. 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
integer or whole number
Different Units
simplify
2

2. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
quotient
improper fraction
reciprocal

3. Surface space that is measured in square units.
Decimals/Percents
area
A = (Diagonal1 x Diagonal2) / 2
5/8

4. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
inverse
Percent Change
To add integers that have the same sign (both positive or both negative):
dividing the numerator and denominator by the same number

5. 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
Power notation
equal to itself.
Percent Change

6. A self-evident statement - that is - one that does not need to be demonstrated.
Equal
When to use fractions
axiom
right triangle

7. The number doing the dividing is called the
complementary angles
When to use fractions
Same units
divisor

8. What is the formula forCounting consecutive integers?
Axiom I.
(Last - First + 1)
enclosing the numbers in a pair of vertical lines | |
Mathematics

9. Two numbers are said to be equal (=) when they are at
the same point on the number line
Composite number
improper fraction
reciprocal

10. The ratio of a number to 100 (per one hundred); the symbol %
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
percent
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Subtracting Signed Integers

11. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
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.
Converting Improper Fractions to Mixed Numbers
improper fraction

12. Species of Quantities are signified by
percent
lowest terms
lowercase letters
x/100

13. Indicates the number to be multiplied
base
radius
quotient
2

14. The sum of a group of numbers divided by the number of numbers; also known as the average
hexagon
angle
mean
Aliquot Part

15. A statement that needs to be demonstrated and is called in Latin demonstrandum.
When you are absolutely sure the variable or expression <> 0
combination of addition and subtraction
A plus sign (+) is used for two entirely different purposes:
theorem

16. All whole numbers (both positive and negative) and zero.
Whole
A = (Diagonal1 x Diagonal2) / 2
integers
reciprocal

17. A triangle with sides of different lengths and no two angles are the same
scalene triangle
quotient
equation
composite number

18. The result of dividing one number by another; the solution to a division problem
quotient
exactly the same portion
always clear the innermost groups first
Odd

19. Odd +/- ____ = Odd
Even
numerator
y-axis
exactly the same portion

20. Total Earnings ($) = ?
right triangle
Wage Rate ($ per hr) x Hrs worked
Percent Decrease Formula
Carry the 10's digit of the product to the top of the 10's column of factors.

21. The distance around a figure.
Step 1 of Converting Improper Fractions to Mixed Numbers
Step 1 of Converting mixed numbers to improper fractions
Evaluating Powers With Negative Exponents
perimeter

22. What is the perimeter of a Polygon?
parallel lines
Odd
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Converting mixed numbers to improper fractions.

23. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
Computation
greatest common factor (GCF)
Any value multiplied by one

24. Operations enclosed in a sign of grouping
Always completed first
proper fractions
A minus sign ( - ) is used for two entirely different purposes:
Odd

25. The difference between the least and greatest values in a set of numbers
before solving
scale drawing
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
range

26. A polygon with six sides.
hexagon
sample
combination of addition and subtraction
Decreases

27. 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?
Aliquant Part
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.
2^3 = 8
the same point on the number line

28. A unit for measuring area
Unity - or a Unit
square unit
prime factors
There are two parts in the procedure for subtracting signed integers:

29. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
product
To square an equation to solve it
Step 1 of Converting Improper Fractions to Mixed Numbers

30. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
When the addends have the same sign both + or both -
Even
Evaluating Powers With Negative Exponents

31. ' x percent' = ?
1
Odd
square unit
x/100

32. Surface space that is measured in square units
area
lowercase letters
Odd
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

33. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
Whole Numbers
Negative-value integers
Alternative to the algebraic manipulation method to solving a VIC

34. How many Even primes are there?
One... the number 2
( (Last - First) / Increment ) + 1
quadrilateral
1

35. The Only possible factors for a prime number are
Both
the same point on the number line
1 and itself
Is equal to the original value

36. Percent Decrease Formula ?
rectangle
y-axis
reciprocal
Original x (1 - x/100) = New

37. A polygon with six sides.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
divisor
hexagon
the denominator of the original improper fraction

38. The difference between the least and greatest values in a set of numbers.
Arithmetic - Music - Geometry and Astronomy
mean
range
the same point on the number line

39. The largest single factor for two or more numbers.
Sale Price - Unit Cost
0
greatest common factor (GCF)
(Last - First + 1)

40. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Being divided by a power of 10
Even
sample
Adding negative integers will always produce a negative sum

41. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
trapezoid
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Change / Original Formula?
Same units

42. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Axiom X.
pi
Axiom V.
mixed fractions

43. What is the only Even prime number?
2
both integers are positive or both are negative
Odd
Always completed first

44. What are the 3 main formulaic properties of evenly-spaced sets?
0.625
product
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

45. The horizontal number line of a coordinate graph
x-axis
Odd or Non-Int
referred to the same Unit
Unit Price x Qty. Sold

46. A number with an exponent of 2 is often said to be
when there are explicit or implicit equations in the problem:
squared
isosceles triangle
denominator

47. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
Number
The sum of all the integers from 20 to 100 - inclusive
Known quantities
reduced fraction

48. Change + - Original = New
contains only a single number
rectangle
Change / Original Formula?
equivalent

49. When will a decimal terminate and why?
complementary angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Non-Int
vertex (vertices - plural)

50. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Species
obtuse angle
rectangle
Relative multitude