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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. One number is said to be less than (<) another when it is
acute angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Zero multiplied by any value
farther to the left on the number line

2. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
product
Subtracting Signed Integers
To add integers that have the same sign both positive or both negative:
When the addends have the same sign both + or both -

3. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
x-axis
Line Segments
Same units

4. 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.
One... the number 2
reflection
When numbers do not divide evenly
'six cubed'

5. A ratio that shows the cost per unit of measure
numerator
unit ratio
Composite number
Homogenous or Heterogenous

6. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Proof
y-coordinate
trapezoid

7. The process of breaking a number down into its factors is called
proportion
factoring
Sum of Interior Angles of a Polygon: (n - 2) x 180
lowercase letters

8. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mixed number
ratio
To add integers that have the same sign (both positive or both negative):
rectangle

9. Switch to a number-picking strategy
'six cubed'
Percent Decrease Formula
theorem
Alternative to the algebraic manipulation method to solving a VIC

10. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
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
farther to the left on the number line
Even
Original + Change = New Change/Original = Percent Change

11. A sign of grouping can be omitted when it
parallel lines
enclosing the numbers in a pair of vertical lines | |
contains only a single number
farther to the left on the number line

12. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
perimeter
Odd
When the addends have the same sign both + or both -
always clear the innermost groups first

13. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
median
Aliquot and Aliquant Parts
rhombus

14. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
quotient
Known quantities
numerator
common denominator

15. 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.
Reducing: The Brute-Force Method
Number
rectangle
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

16. The sum of a group of numbers divided by the number of numbers. Also known as the average.
To find out - easily - if one fraction is bigger than another
pyramid
mean
when there are explicit or implicit equations in the problem:

17. Quantities which are both equal to one and the same third are equal to one another.
Power notation
One... the number 2
mixed number
Axiom III.

18. 1 to any power is equal to
Whole Numbers
To find out - easily - if one fraction is bigger than another
1 - (y/100)
1

19. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
There are two parts in the procedure for subtracting signed integers:
the Complement of that part to the whole
right angle

20. A comparison of the two values of two numbers
The Ratio of Any two of the following: Original - Change and New
ratio
rectangle
Even or Non-Int

21. The total of two or more numbers being added
Axiom IV.
putting that number over 1
sum
Odd

22. Profit = ?
Odd
enclosing the numbers in a pair of vertical lines | |
2
Revenue ($) - Cost ($)

23. 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.
How the Last Digit Shortcut works
prism
Converting Improper Fractions to Mixed Numbers
Revenue ($) - Cost ($)

24. An eight-sided polygon
axiom
When the addends have opposite signs one is + and the other is -
Quantity
octagon

25. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
vertex (vertices - plural)
Even and Odd
axiom
Reducing: The Brute-Force Method

26. Surface space that is measured in square units.
area
factor
Sum of Interior Angles of a Polygon: (n - 2) x 180
quadrilateral

27. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Axiom II.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Step 1 of Converting Improper Fractions to Mixed Numbers
Quantity is expressed

28. 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:
Magnitude
Is equal to the original value
mean

29. The terms Species and Number
equal to 1
Odd or Non-Int
supplementary angles
Quantity is expressed

30. 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.
vertex (vertices - plural)
improper fraction
acute angle
1

31. The two kinds of Magnitude are
When to use the Heavy Division Shortcut - and how to do it
mean
exponent
Magnitude at Rest and Magnitude in Motion

32. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
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?
To make sure to solve for Both cases.
percent
1 - (y/100)

33. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
least common multiple (LCM)
Step 1 of Converting mixed numbers to improper fractions
Arithmetic - Music - Geometry and Astronomy
reciprocal

34. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
least common multiple (LCM)
dividend
integer values
Adding negative integers will always produce a negative sum

35. A unit for measuring area
To add integers that have opposite signs:
square unit
sample
ratio

36. Things are Equal in Magnitude when they are
referred to the same Unit
acute angle
Converting mixed numbers to improper fractions.
octagon

37. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Zero (0)
Odd
Even

38. Two angles whose sum is 180 degrees
supplementary angles
Different Units
cubed
farther to the right on the number line.

39. The whole is more or greater than its part.
quotient
Axiom IV.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
0.625

40. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
equation
polygon
ordered pair
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

41. The Only possible factors for a prime number are
Non-Int
A minus sign ( - ) is used for two entirely different purposes:
1 and itself
Axiom X.

42. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
circumference
greatest common factor (GCF)
common factor
integer or whole number

43. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
1 and itself
Revenue ($) - Cost ($)
To add integers that have opposite signs:
Axiom III.

44. A number that tells how many times the base is multiplied by itself
exponent
improper fraction
range
Reducing by the Largest Common Factor (LCF)

45. The numerator is smaller than the denominator
Even and Odd
proper fraction
Long Division
Sale Price - Unit Cost

46. Rules that tell which steps to follow when solving an expression.
order of operations
both integers are positive or both are negative
Odd
Same units

47. The figure formed when two rays meet at a common endpoint called a vertex.
probability
Zero (0)
angle
one is positive and the other is negative

48. What is the formula forCounting consecutive multiples?
median
( (Last - First) / Increment ) + 1
absolute value
perimeter

49. The result of the multiplication is called the
equal to itself.
denominator
product
prime number

50. The number being divided is called the
Being divided by a power of 10
dividend
cross product
Non-Int