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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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
combination of addition and subtraction
base
There are two parts in the procedure for subtracting signed integers:
Aliquot Part
2. Two angles whose sum is 180 degrees
supplementary angles
mode
mixed number
equation
3. One of those primes must be the number __ ?
A sum of 2 primes is Odd
reduced fraction
Inserting a zero at the left end of a whole number
obtuse angle
4. A sign of grouping can be omitted when it
Relative multitude
contains only a single number
improper fraction
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?
5. Whole is equal in Multitude to a Part of the other.
Equal
circumference
from left to right
x-axis
6. A mathematical sentence that uses an equal sign
0
equation
Quantity
The Decimal Numbering System
7. The number doing the dividing is called the
rate
higher terms
divisor
y-axis
8. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
Number
proper fractions
lowest terms
9. Are those things collected in a whole.
Species
1
Parts
right triangle
10. The ratio of a number to 100 (per one hundred). The symbol %
Evaluating Powers With Negative Exponents
percent
Multitudes and Magnitudes
Step 1 of Converting mixed numbers to improper fractions
11. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
Unit Price x Qty. Sold
Step 2 of Converting mixed numbers to improper fractions
multiplier
12. A triangle with one right angle
Equal
right triangle
pyramid
2^3 = 8
13. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
pyramid
Odd
quadrilateral
14. When will a decimal Not terminate and why?
before solving
square unit
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
order of operations
15. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
integer or whole number
Decimals/Percents
How the Last Digit Shortcut works
Both
16. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
roots of numbers
sample
Even
Odd
17. A triangle that has three equal sides and three equal angles
factoring
lowest terms
quotient
equilateral triangle
18. Always try to Factor a quadratic equation
before solving
percent
Percent Decrease Formula
putting that number over 1
19. Has no sign value
mixed number
Zero (0)
Subtracting Signed Integers
Axiom V.
20. 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.
combination of addition and subtraction
Converting mixed numbers to improper fractions.
Fractions allow you to plot values between whole numbers and integers.
0
21. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Step 2 of Converting Improper Fractions to Mixed Numbers
Axiom VI.
pi
When you are absolutely sure the variable or expression <> 0
22. Reducing fractions is
Evaluating Powers With Negative Exponents
dividing the numerator and denominator by the same number
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
product
23. A quadrilateral with two pairs of congruent - parallel sides.
difference
Converting Improper Fractions to Mixed Numbers
parallelogram
straight angle
24. Two angles whose sum equals 90 degrees.
unit ratio
Step 2 of Converting mixed numbers to improper fractions
prism
complementary angles
25. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Even or Non-Int
y-axis
proper fractions
26. An angle measuing more than 0 degrees and less than 90 degrees
Even div. by 4
acute angle
Inequality
Step 1 of Converting Improper Fractions to Mixed Numbers
27. A number that is not a prime number is called a
factoring
composite number
Converting mixed numbers to improper fractions.
Whole
28. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
exponent
Converting Improper Fractions to Mixed Numbers
Relative multitude
reciprocal
29. The number being multiplied is called the
Zero (0)
Axiom III.
parallelogram
multiplicand
30. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
ordered pair
prism
Decreases
referred to Unity in the same way
31. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
area
Axiom VII.
proper fraction
32. Things are Equal in Multitude when they are
scalene triangle
Aliquant Part
Sale Price - Unit Cost
referred to Unity in the same way
33. The number to be multiplied by is called the
radius
x-axis
diameter
multiplier
34. Is equal to zero. 0 x a = 0
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Even
Zero multiplied by any value
Any value multiplied by one
35. By the last letters (u - x - y - etc.)
Positive-value integers
x = (+-) a
Known quantities
( (Last - First) / Increment ) + 1
36. Any number with an exponent of 0
equal to 1
Reducing by the Largest Common Factor (LCF)
Alternative to the algebraic manipulation method to solving a VIC
Odd
37. In a group of values - the value that occurs most often.
common denominator
Every integer between 1 and X - inclusive - must be a factor of X
order of operations
mode
38. When the factors of a number are all prime numbers - the factors are said to be the
Axiom III.
prime factors
Even or Non-Int
Aliquot and Aliquant Parts
39. Sale Price = ?
rectangle
Unit Cost + Markup
Shift DP 2 places right
the Complement of that part to the whole
40. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
least common multiple (LCM)
To convert any fraction to higher terms
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Mathematics
41. Where do fractions occur on a number line?
prime number
Fractions allow you to plot values between whole numbers and integers.
When you are absolutely sure the variable or expression <> 0
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
42. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
The Ratio of Any two of the following: Original - Change and New
rectangle
circumference
43. What are the rules for picking numbers in VICS?
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
cubed
Axiom IX.
lowercase Variables
44. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
simplify
Computation
y-coordinate
62.5%
45. A triangle with two equal sides and two equal angles
scale drawing
Whole Numbers
when there are explicit or implicit equations in the problem:
isosceles triangle
46. The absolute value of numbers is indicated by
Quantity
Axiom VI.
exponent
enclosing the numbers in a pair of vertical lines | |
47. The whole-number part of the mixed number is the whole-number part of the
Increases the value.
x-axis
radius
quotient
48. A ratio that compares two different types of quantities
rate
Decimals/Percents
Axiom III.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
49. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
How the Last Digit Shortcut works
Axiom VIII.
integer or whole number
proper fraction
50. The process of breaking a number down into its factors is called
factoring
Even
1
circumference