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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. The whole is more or greater than its part.
Axiom IV.
difference
quotient
Even div. by 4

2. Odd +/- ____ = Odd
A = (Diagonal1 x Diagonal2) / 2
Even
Increases the value.
1 - (y/100)

3. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Multitude
mode
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

4. Has no sign value
Multitude
Zero (0)
When you are absolutely sure the variable or expression <> 0
squared

5. What are the 3 main formulaic properties of evenly-spaced sets?
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
putting that number over 1
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
Carry the 10's digit of the product to the top of the 10's column of factors.

6. Where do fractions occur on a number line?
improper fraction
vertex (vertices - plural)
Axiom VI.
Fractions allow you to plot values between whole numbers and integers.

7. One number is said to be greater than (>) another when it is
ordered pair
Every integer between 1 and X - inclusive - must be a factor of X
farther to the right on the number line.
Axiom IX.

8. 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.
Composite number
2
Different Units
prime number

9. Is the disagreement of things in Quantity.
Inequality
5/8
To find out - easily - if one fraction is bigger than another
Wage Rate ($ per hr) x Hrs worked

10. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
equilateral triangle
When you are absolutely sure the variable or expression <> 0
Decreases
cross product

11. Is equal to the original value. a x 1 = 1
Proof
mixed number
Any value multiplied by one
scalene triangle

12. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
integer or whole number
octagon
improper fraction
vertex (vertices - plural)

13. Basic Number Properties and elementary operations.
Number Systems
Unknown quantities
vertex (vertices - plural)
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

14. A triangle that has three equal sides and three equal angles
complementary angles
x/100
equilateral triangle
5/8

15. A number with an exponent of 3 is often said to be
rate
y-axis
parallelogram
cubed

16. A value that combines a whole number and a fractional amount
prism
mixed number
A = (Base x Height) / 2 - A = (BH)/2
proportion

17. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
probability
composite number
when there are explicit or implicit equations in the problem:

18. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
range
factor
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
When to use fractions

19. Multiply both the numerator and denominator by the same integer value.
( (Last - First) / Increment ) + 1
referred to the same Unit
percent
To convert any fraction to higher terms

20. Cross-multiply
supplementary angles
Even
Same units
To find out - easily - if one fraction is bigger than another

21. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
Odd
polygon
y-axis

22. The two kinds of Magnitude are
Magnitude at Rest and Magnitude in Motion
higher terms
When to use fractions
Equal

23. Original x (1 - x/100) = New
Even
Unknown quantities
Percent Decrease Formula
base

24. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
2^3 = 8
0.625
Shift DP 2 places right

25. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Shift DP 2 places left
median
polygon
acute angle

26. Every number is contained in itself once.
hexagon
axiom
Axiom VII.
Carry the 10's digit of the product to the top of the 10's column of factors.

27. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
octagon
To add integers that have the same sign both positive or both negative:
Proof
UnitPrice ($/unit) x Qty.Purchas'd (units)

28. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
straight angle
Axiom I.
Computation
x = (+-) a

29. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
numerator
Even
Terminating decimal
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

30. Species are distinguished into
common denominator
Known (Given) and Unknown (Sought)
parallelogram
Alternative to the algebraic manipulation method to solving a VIC

31. What is the formula for: The Area of a Triangle ?
absolute value
Odd
integers
A = (Base x Height) / 2 - A = (BH)/2

32. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Converting mixed numbers to improper fractions.
1 and itself
A = (D1 x D2) / 2
Same units

33. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
the same point on the number line
When the addends have the same sign both + or both -
improper fractions

34. What is the formula forCounting consecutive multiples?
percent
( (Last - First) / Increment ) + 1
acute angle
Zero (0)

35. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
diameter
mixed number
'six cubed'
probability

36. The process of breaking a number down into its factors is called
probability
acute angle
proportion
factoring

37. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
A plus sign (+) is used for two entirely different purposes:
Axiom VI.
lowercase letters
right angle

38. Any number with a negative exponent
x-coordinate
before solving
equal to 1 divided by that number with a positive exponent
cubed

39. The amount that remains after one number has been subtracted from another
cylinder
difference
quotient
Some integer/Some Power of 10

40. Two numbers are said to be equal (=) when they are at
Unit Price x Qty. Sold
the same point on the number line
vertex (vertices - plural)
numerator

41. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
complementary angles
Even - Odd or Non-Int
mean
Positive-value integers

42. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
referred to the same Unit
least common multiple (LCM)
dividend
Even or Non-Int

43. A number with an exponent of 2 is often said to be
The rule for adding negative integers is the same as the rule for adding positive integers:
squared
Odd
2

44. A combination of numbers and variables connected by one or more operations signs
Odd
Increases the value.
expression
integers

45. An evenly-spaced set is fully-defined if what is known...?
Shift DP 2 places left
Proof
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
base

46. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
Subtracting Signed Integers
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
commutative law of multiplication

47. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Even
contains only a single number
denominator

48. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
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
mixed fractions
circumference
improper fractions

49. A parallelogram with four right angles
rectangle
scalene triangle
equivalent
lowercase Variables

50. A unit for measuring area
putting that number over 1
square unit
inverse
The bottom side of the triangle