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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. An equation stating that two ratios are equal
proportion
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
Any value multiplied by one
ratio

2. Rules that tell which steps to follow when solving an expression
Sum of Interior Angles of a Polygon: (n - 2) x 180
order of operations
Absolute and Relative
2 and/or 5 only

3. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Magnitude at Rest and Magnitude in Motion
Original x (1 - x/100) = New
mixed number
Aliquot Part

4. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
order of operations
cubed
Even and Odd
order of operations

5. What are the 2 'percent change' equations?
range
integer values
Original + Change = New Change/Original = Percent Change
There are two parts in the procedure for subtracting signed integers:

6. Is the agreement of things in Quanity.
improper fractions
x/100
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
Equality

7. The upper number in a fraction is the
2
numerator
putting that number over 1
lowercase Variables

8. 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.
Magnitude
Power notation
Reducing: The Brute-Force Method
Even

9. Total Sales or Revenue = ?
Wage Rate ($ per hr) x Hrs worked
Unit Price x Qty. Sold
perimeter
Non-Int

10. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Computation
unit ratio
mixed fraction
denominator

11. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
factors of the multiplication operation
vertex (vertices - plural)
hexagon
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

12. All whole numbers (both positive and negative) and zero.
2
prism
divisor
integers

13. Always try to Factor a quadratic equation
improper fraction
Arithmetic - Music - Geometry and Astronomy
before solving
Shift DP 2 places right

14. A parallelogram with all sides equal and congruent
1 - (y/100)
rhombus
diameter
Even - Odd or Non-Int

15. One of those primes must be the number __ ?
Negative-value integers
A sum of 2 primes is Odd
scalene triangle
prime factorization

16. The action of the mind whereby a quantity is measured by Unity or a Unit.
1
The Ratio of Any two of the following: Original - Change and New
Computation
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

17. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Aliquant Part
ordered pair
Axiom IX.
ratio

18. The vertical number line of a coordinate graph
Computation
y-axis
cross product
denominator

19. Quantities which are both equal to one and the same third are equal to one another.
mean
Converting mixed numbers to improper fractions.
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
Axiom III.

20. 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
Line Segments
when there are explicit or implicit equations in the problem:
To add integers that have opposite signs:

21. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
A plus sign (+) is used for two entirely different purposes:
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
acute angle
Magnitude

22. The whole-number part of the mixed number is the whole-number part of the
Axiom X.
y-coordinate
quotient
equal to itself.

23. The lower number in a fraction is the
numerator
denominator
x-axis
diameter

24. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
Equality
higher terms
Multitude
multiplier

25. Having the same value
multiplier
Axiom I.
square unit
equivalent

26. The numerator of the fraction part of the mixed number is the remainder from the
'five squared'
quotient
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
similar figures

27. Surface space that is measured in square units.
radius
Reducing fractions
Non-Int
area

28. The largest integer that can be divided evenly into both the numerator and denominator.
A = (D1 x D2) / 2
quadrilateral
There are two parts in the procedure for subtracting signed integers:
Reducing by the Largest Common Factor (LCF)

29. An angle measuring more than zero degrees and less than 90 degrees
acute angle
Mathematics
proper fractions
greatest common factor (GCF)

30. A mathematical sentence that uses an equal sign
always clear the innermost groups first
rate
angle
equation

31. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Even
perimeter
y-coordinate
Arithmetic - Music - Geometry and Astronomy

32. 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
Long Division
lowercase letters
Equality
There are two parts in the procedure for subtracting signed integers:

33. The process of breaking a number down into its factors is called
Terminating decimal
equation
factoring
Adding negative integers will always produce a negative sum

34. Profit = ?
A sum of 2 primes is Odd
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Revenue ($) - Cost ($)
Alternative to the algebraic manipulation method to solving a VIC

35. The distance around a circle (the perimeter of a circle)
circumference
square unit
Even and Odd
Aliquant Part

36. A number with only two factors: the number itself and one.
prime number
commutative law of multiplication
Inserting a zero at the left end of a whole number
inverse operations

37. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
order of operations
prime number
percent

38. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
Wage Rate ($ per hr) x Hrs worked
0
prime factors

39. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
dividend
Axiom III.
farther to the left on the number line
Step 1 of Converting mixed numbers to improper fractions

40. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Odd
Decimals/Percents
Mathematics

41. A ratio that shows the cost per unit of measure
unit ratio
Unknown quantities
Axiom X.
More

42. The distance around a figure.
perimeter
supplementary angles
Alternative to the algebraic manipulation method to solving a VIC
square unit

43. The ratio of a number to 100 (per one hundred). The symbol %
Every integer between 1 and X - inclusive - must be a factor of X
x-coordinate
numerator
percent

44. 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 VI.
composite number
0.625
proportion

45. 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.
cylinder
How the Last Digit Shortcut works
Some integer/Some Power of 10
Subtracting Signed Integers

46. The whole is more or greater than its part.
circumference
Sale Price - Unit Cost
Axiom IV.
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.

47. An angle that measures 90 degrees
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
To make sure to solve for Both cases.
right angle
Even div. by 4

48. Having the same size and shape
Homogenous or Heterogenous
congruent
Increases the value.
simplify

49. A number with an exponent of 3 is often said to be
cubed
Unit Price x Qty. Sold
Decreases
least common multiple (LCM)

50. A number that is a factor of two or more numbers.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
equal to itself.
common factor
sum