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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. 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
There are two parts in the procedure for subtracting signed integers:
referred to the same Unit
Converting mixed numbers to improper fractions.
divisor

2. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
exactly the same portion
pentagon
Different Units
'five squared'

3. Total Earnings ($) = ?
supplementary angles
Wage Rate ($ per hr) x Hrs worked
Quantity is expressed
Percent Change

4. The distance around a circle (the perimeter of a circle)
reflection
sample
circumference
quadrilateral

5. Is the agreement of things in Quanity.
Quantity is expressed
Equality
A plus sign (+) is used for two entirely different purposes:
parallelogram

6. Two numbers are said to be equal (=) when they are at
the same point on the number line
Even - Odd or Non-Int
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
perimeter

7. The horizontal number line of a coordinate graph
Relative multitude
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
Evaluating Powers With Negative Exponents
x-axis

8. The total of two or more numbers being added
sum
scalene triangle
The bottom side of the triangle
Odd

9. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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10. 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.
right triangle
To add integers that have opposite signs:
How the Last Digit Shortcut works
acute angle

11. The sum of a group of numbers divided by the number of numbers. Also known as the average.
lowest terms
mean
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Always completed first

12. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
parallel lines
octagon
y-coordinate
polygon

13. An evenly-spaced set is fully-defined if what is known...?
Unit Price x Qty. Sold
Whole Numbers
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
How the Last Digit Shortcut works

14. What is the formula for: The Area of a Triangle ?
numerator
farther to the left on the number line
the denominator of the original improper fraction
A = (Base x Height) / 2 - A = (BH)/2

15. A solid figure that has triangles for its sides and a polygon as its base
pyramid
Every integer between 1 and X - inclusive - must be a factor of X
The Decimal Numbering System
Negative-value integers

16. The result of the division called the
Odd
quotient
Multitude
fraction or broken number

17. A quadrilateral with one pair of parallel sides
trapezoid
A = (Base x Height) / 2 - A = (BH)/2
octagon
Quantity

18. .625 --> Percent?
62.5%
x-axis
x/100
quadrilateral

19. Is the disagreement of things in Quantity.
Revenue ($) - Cost ($)
pentagon
area
Inequality

20. A parallelogram with all sides equal and congruent
ratio
Shift DP 2 places right
before solving
rhombus

21. A number that is not a prime number is called a
composite number
integer values
equilateral triangle
rectangle

22. Decreasing the Denominator of a fraction Increases/Decreases the value?
congruent
Every integer between 1 and X - inclusive - must be a factor of X
Zero multiplied by any value
Increases the value.

23. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
5/8
mode
Number
supplementary angles

24. Are those things collected in a whole.
(Last - First + 1)
cubed
Parts
Original + Change = New Change/Original = Percent Change

25. The number being multiplied is called the
mean
roots of numbers
multiplicand
5/8

26. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Axiom II.
Parts
Proof
perimeter

27. What are the properties of the diagonals of a Rhombus?
composite number
Species
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Odd

28. 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
Zero multiplied by any value
Species
Non-Int

29. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
improper fraction
Subtracting Signed Integers
angle

30. Having the same size and shape
supplementary angles
Change / Original Formula?
congruent
Reducing by the Largest Common Factor (LCF)

31. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
( (Last - First) / Increment ) + 1
UnitPrice ($/unit) x Qty.Purchas'd (units)
More
The rule for adding negative integers is the same as the rule for adding positive integers:

32. Switch to a number-picking strategy
Axiom VI.
Adding negative integers will always produce a negative sum
Alternative to the algebraic manipulation method to solving a VIC
right triangle

33. A number is increased by 25%... what must you reduce the new number by to get the old number again?
percent
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
absolute value
A = (D1 x D2) / 2

34. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
A sum of 2 primes is Odd
Sum of Interior Angles of a Polygon: (n - 2) x 180
Step 1 of Converting mixed numbers to improper fractions
simplify

35. What is the formula forCounting consecutive multiples?
integers
composite number
( (Last - First) / Increment ) + 1
parallelogram

36. Total Earnings ($) = ?
mixed fraction
lowercase letters
Wage Rate ($ per hr) x Hrs worked
Whole Numbers

37. Odd x ? = Even
pyramid
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?
Even
Revenue ($) - Cost ($)

38. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
octagon
reduced fraction
Odd
Axiom X.

39. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Odd or Non-Int
lowest terms
Axiom VII.
The rule for adding negative integers is the same as the rule for adding positive integers:

40. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
The sum of all the integers from 20 to 100 - inclusive
perimeter

41. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
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.
difference
Step 1 of Converting mixed numbers to improper fractions
(Last - First + 1)

42. 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').
Fractions allow you to plot values between whole numbers and integers.
ratio
common denominator
Whole Numbers

43. Indicates the number to be multiplied
equilateral triangle
base
Step 2 of Converting Improper Fractions to Mixed Numbers
Being divided by a power of 10

44. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
A minus sign ( - ) is used for two entirely different purposes:
To add integers that have the same sign (both positive or both negative):
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

45. Is equal to zero. 0 x a = 0
common denominator
Zero multiplied by any value
product
common factor

46. Why are Even Exponents dangerous?
lowest terms
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Computation
Unknown quantities

47. The horizontal number line of a coordinate graph
proportion
x-axis
quotient
rectangle

48. The whole-number part of the mixed number is the whole-number part of the
radius
Shift DP 2 places left
dividing the numerator and denominator by the same number
quotient

49. A solid figure with two congruent and parallel circular bases
quadrilateral
Quantity is expressed
trapezoid
cylinder

50. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
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
Parts
Whole Numbers