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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. To make a fraction easier to work with by taking out common factors
quotient
simplify
Change + - Original = New
Whole
2. An angle that measures 90 degrees
right angle
square unit
A sum of 2 primes is Odd
Terminating decimal
3. The largest single factor for two or more numbers.
The rule for adding negative integers is the same as the rule for adding positive integers:
greatest common factor (GCF)
product
How the Last Digit Shortcut works
4. A mirror image of a figure shown over a line of reflection
reflection
range
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
The sum of all the integers from 20 to 100 - inclusive
5. Profit = ?
Revenue ($) - Cost ($)
Original x (1 - x/100) = New
Axiom V.
congruent
6. Any number with an exponent of 1
equal to itself.
equal to 1 divided by that number with a positive exponent
x-coordinate
proper fractions
7. Always try to Factor a quadratic equation
before solving
scale drawing
numerator
base
8. Lines in the same plane that do not intersect. The symbol //
Is equal to the original value
square unit
equation
parallel lines
9. A triangle with sides of different lengths and no two angles are the same
Known quantities
scalene triangle
Unit Price x Qty. Sold
Percent Decrease Formula
10. An equation stating that two ratios are equal
proportion
Axiom X.
Change / Original Formula?
mixed number
11. The horizontal number line of a coordinate graph
ratio
Axiom I.
Quantity
x-axis
12. A number that is a factor of two or more numbers.
0.625
quadrilateral
roots of numbers
common factor
13. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
reduced fraction
x = (+-) a
Sale Price - Unit Cost
14. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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15. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Wage Rate ($ per hr) x Hrs worked
median
Axiom VI.
absolute value
16. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
fraction or broken number
right triangle
exactly the same portion
1 - (y/100)
17. Reducing fractions is
dividing the numerator and denominator by the same number
from left to right
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Even or Non-Int
18. Unit Profit = ?
y-axis
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Sale Price - Unit Cost
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
19. Why are Even Exponents dangerous?
from left to right
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
Some integer/Some Power of 10
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
20. Species are distinguished into
Known (Given) and Unknown (Sought)
Line Segments
the Complement of that part to the whole
perimeter
21. One of those primes must be the number __ ?
1 and itself
Zero multiplied by any value
A sum of 2 primes is Odd
contains only a single number
22. ' x percent' = ?
unit ratio
A = (Diagonal1 x Diagonal2) / 2
x/100
Terminating decimal
23. A self-evident statement - that is - one that does not need to be demonstrated.
scalene triangle
ratio
lowercase Variables
axiom
24. A fraction with all common factors (other than 1) factored out of the numerator and denominator
product
Reducing fractions
Odd
lowest terms
25. The distance around a circle (the perimeter of a circle)
circumference
median
Inserting a zero at the right end of a whole number
Odd
26. Two angles whose sum equals 90 degrees.
complementary angles
improper fractions
mixed fraction
numerator
27. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
exponent
dividing the numerator and denominator by the same number
Converting Improper Fractions to Mixed Numbers
product
28. Every number is contained in itself once.
Axiom VII.
like fractions
Magnitude
One... the number 2
29. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
pyramid
Shift DP 2 places right
Axiom X.
30. For there to be X unique factors of X - what must be true?
A minus sign ( - ) is used for two entirely different purposes:
To add integers that have opposite signs:
There are two parts in the procedure for subtracting signed integers:
Every integer between 1 and X - inclusive - must be a factor of X
31. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
mixed fractions
mixed fraction
Unknown quantities
32. Is the opposite of raising fractions to higher terms.
62.5%
Reducing fractions
Shift DP 2 places left
Whole Numbers
33. Two numbers are said to be equal (=) when they are at
area
Inequality
Axiom V.
the same point on the number line
34. Breaking down a composite number until all of the factors are prime
mode
prime factorization
Percent Decrease Formula
Multitudes and Magnitudes
35. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Sale Price - Unit Cost
congruent
Relative multitude
36. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Known quantities
Decimals/Percents
Inserting a zero at the right end of a whole number
ratio
37. Whole is equal in Multitude to a Part of the other.
Equal
improper fractions
1
Axiom VIII.
38. Adding integers that have the same sign means
both integers are positive or both are negative
Reducing by the Largest Common Factor (LCF)
probability
putting that number over 1
39. An angle that measures 180 degrees
parallelogram
The height of a triangle
farther to the left on the number line
straight angle
40. A line segment that passes through the center of a circle and has its endpoints on the circle
proportion
The height of a triangle
rate
diameter
41. 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.
sample
When numbers do not divide evenly
median
order of operations
42. A solid figure with two congruent and parallel circular bases
percent
cylinder
Step 1 of Converting Improper Fractions to Mixed Numbers
polygon
43. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
base
expression
square unit
Magnitude
44. Adding integers that have opposite signs means
one is positive and the other is negative
Fractions allow you to plot values between whole numbers and integers.
mode
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
45. The exact procedure for adding signed integers depends upon
x-axis
whether the addends have the same sign or opposite signs
parallelogram
inverse operations
46. No integer (except 1) that divides evenly into both the numerator and denominator.
perimeter
Converting mixed numbers to improper fractions.
reduced fraction
scalene triangle
47. 1 to any power is equal to
composite number
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
1
x-coordinate
48. Includes an integer as well as a fractional part
scale drawing
mixed fraction
Step 1 of Converting Improper Fractions to Mixed Numbers
Terminating decimal
49. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
Even
Axiom VIII.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
50. The numerator is greater than - or equal to - the denominator
Mathematics
they have the same absolute value
vertex (vertices - plural)
improper fraction
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