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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. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
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
One... the number 2
The rule for adding negative integers is the same as the rule for adding positive integers:
Multitudes and Magnitudes
2. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
1 - (y/100)
congruent
2
mixed number
3. Odd / Even = ? e.g. 9/6 = 1.5
circumference
product
mixed number
Non-Int
4. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Known (Given) and Unknown (Sought)
Even
equal to 1 divided by that number with a positive exponent
rectangle
5. No integer (except 1) that divides evenly into both the numerator and denominator.
vertex (vertices - plural)
axiom
The rule for adding negative integers is the same as the rule for adding positive integers:
reduced fraction
6. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
unit ratio
factoring
Mathematics
7. A unit for measuring area
common denominator
Even and Odd
square unit
To convert any fraction to higher terms
8. How many Even primes are there?
integer or whole number
Any value multiplied by one
square unit
One... the number 2
9. An equation stating that two ratios are equal
proportion
Decreases
Even
Reducing by the Largest Common Factor (LCF)
10. What is the formula forCounting consecutive integers?
Species
Is equal to the original value
(Last - First + 1)
quadrilateral
11. 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
Equal
congruent
lowercase letters
12. All the positive whole numbers
area
integer values
divisor
A minus sign ( - ) is used for two entirely different purposes:
13. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
When to use fractions
Step 2 of Converting mixed numbers to improper fractions
Step 1 of Converting mixed numbers to improper fractions
'six cubed'
14. A polygon that has four sides.
Converting mixed numbers to improper fractions.
62.5%
quadrilateral
Wage Rate ($ per hr) x Hrs worked
15. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
base
parallel lines
composite number
To square an equation to solve it
16. 3 ways to solve an absolute value inequality
The bottom side of the triangle
UnitPrice ($/unit) x Qty.Purchas'd (units)
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
Multitudes and Magnitudes
17. The greater any number is in comparison to another - the more equal parts will it contain of that other.
improper fraction
Wage Rate ($ per hr) x Hrs worked
difference
Axiom IX.
18. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
least common multiple (LCM)
integer or whole number
2
parallelogram
19. To indicate the subtraction operation - to indicate a negative integer value
y-coordinate
2 and/or 5 only
Odd or Non-Int
A minus sign ( - ) is used for two entirely different purposes:
20. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
2
Odd
Wage Rate ($ per hr) x Hrs worked
diameter
21. The action of the mind whereby a quantity is measured by Unity or a Unit.
A = (Base x Height) / 2 - A = (BH)/2
Computation
dividend
order of operations
22. The upper number in a fraction is the
equation
To add integers that have opposite signs:
mixed fraction
numerator
23. A value such as 6^3 can described as
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183
24. Where do fractions occur on a number line?
There are two parts in the procedure for subtracting signed integers:
Even
lowercase letters
Fractions allow you to plot values between whole numbers and integers.
25. Two angles whose sum is 180 degrees
expression
Unknown quantities
supplementary angles
congruent
26. The Sum of n consecutive integers is divisible by n if n is
Unit Cost + Markup
Axiom VI.
Odd
Axiom III.
27. The number to be multiplied by is called the
multiplier
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
equivalent
Parts
28. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
right triangle
octagon
Proof
the same point on the number line
29. Every quantity is equal to itself.
multiplicand
A sum of 2 primes is Odd
congruent
Axiom II.
30. When are you allowed to divide by a variable - (or Any expression) ?
2^3 = 8
When you are absolutely sure the variable or expression <> 0
circumference
To add integers that have opposite signs:
31. The terms Species and Number
1 - (y/100)
Axiom VI.
Quantity is expressed
To add integers that have the same sign (both positive or both negative):
32. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
change the operation from subtraction to addition
Magnitude
prime factors
they have the same absolute value
33. Factors may be multiplied in any order.
Relative multitude
polygon
commutative law of multiplication
common denominator
34. The horizontal number line of a coordinate graph
dividend
x-axis
A minus sign ( - ) is used for two entirely different purposes:
When you are absolutely sure the variable or expression <> 0
35. 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
divisor
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
quadrilateral
0.625
36. The lower number in a fraction is the
denominator
dividend
polygon
reduced fraction
37. Whole is equal in Multitude to a Part of the other.
To add integers that have the same sign (both positive or both negative):
Equal
contains only a single number
scalene triangle
38. Adding integers that have opposite signs means
equal to 1
Homogenous or Heterogenous
unit ratio
one is positive and the other is negative
39. Two angles whose sum equals 90 degrees.
scalene triangle
complementary angles
unit ratio
Axiom VIII.
40. One number is said to be less than (<) another when it is
Whole
expression
farther to the left on the number line
Step 2 of Converting Improper Fractions to Mixed Numbers
41. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
The bottom side of the triangle
both integers are positive or both are negative
divisor
Odd
42. Surface space that is measured in square units.
divisor
(Last - First + 1)
diameter
area
43. The base of a triangle refers to?
inverse operations
The bottom side of the triangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
scale drawing
44. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Decimals/Percents
quadrilateral
x-coordinate
To add integers that have the same sign (both positive or both negative):
45. What are the only prime factors that a fraction resulting in a terminating decimals have?
lowest terms
inverse operations
polygon
2 and/or 5 only
46. 0.625 --> Fraction ?
x-coordinate
Even
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.
5/8
47. Total Sales or Revenue = ?
Odd
When numbers do not divide evenly
Unit Price x Qty. Sold
hexagon
48. Switch to a number-picking strategy
octagon
To add integers that have opposite signs:
Long Division
Alternative to the algebraic manipulation method to solving a VIC
49. An angle measuring more than zero degrees and less than 90 degrees
right triangle
acute angle
Unknown quantities
Greater
50. The result of the multiplication is called the
product
equilateral triangle
y-axis
similar figures