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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. The result of the multiplication is called the
always clear the innermost groups first
product
inverse
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
2. One of those primes must be the number __ ?
congruent
A sum of 2 primes is Odd
simplify
Decimals/Percents
3. The horizontal number line of a coordinate graph
To square an equation to solve it
parallel lines
x-axis
x = (+-) a
4. The two kinds of Magnitude are
the Complement of that part to the whole
scalene triangle
Unit Price x Qty. Sold
Magnitude at Rest and Magnitude in Motion
5. Has no sign value
Zero (0)
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
mixed fraction
Even
6. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
perimeter
when there are explicit or implicit equations in the problem:
Species
7. The base of a triangle refers to?
mode
the Complement of that part to the whole
The bottom side of the triangle
the same point on the number line
8. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
5/8
circumference
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
9. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
Homogenous or Heterogenous
Quantity
Even or Non-Int
10. Surface space that is measured in square units.
farther to the left on the number line
Unit Price x Qty. Sold
area
when there are explicit or implicit equations in the problem:
11. Odd x ? = Even
The bottom side of the triangle
Increases the value.
'six cubed'
Even
12. Operations enclosed in a sign of grouping
Always completed first
Even or Non-Int
dividing the numerator and denominator by the same number
x = (+-) a
13. Two or more fractions that have the same denominator
similar figures
commutative law of multiplication
congruent
like fractions
14. Species of Quantities are signified by
prime factorization
multiplicand
lowercase letters
x-axis
15. Rules that tell which steps to follow when solving an expression
order of operations
prime factorization
probability
Composite number
16. The numerator of the fraction part of the mixed number is the remainder from the
higher terms
common factor
quotient
lowercase Variables
17. Any whole number can be expressed in terms of the
octagon
Even
product
y-coordinate
18. Indicates the number to be multiplied
base
scalene triangle
Aliquot and Aliquant Parts
mixed number
19. The total of two or more numbers being added
acute angle
sum
composite number
absolute value
20. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
simplify
cross product
Decimals/Percents
contains only a single number
21. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
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
commutative law of multiplication
Greater
22. Always perform the operations
from left to right
Axiom VII.
pyramid
ratio
23. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
To square an equation to solve it
'five squared'
To make sure to solve for Both cases.
complementary angles
24. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Equality
Number
quadrilateral
Proof
25. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
When the addends have the same sign both + or both -
simplify
Different Units
inverse operations
26. 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.
equal to itself.
vertex (vertices - plural)
pi
Alternative to the algebraic manipulation method to solving a VIC
27. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
Multitude
straight angle
quadrilateral
28. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
Axiom V.
Always completed first
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
29. Adding integers that have opposite signs means
rectangle
Original + Change = New Change/Original = Percent Change
one is positive and the other is negative
referred to Unity in the same way
30. Is equal to the original value. a x 1 = 1
A minus sign ( - ) is used for two entirely different purposes:
Any value multiplied by one
dividing the numerator and denominator by the same number
Odd
31. A mathematical sentence that uses an equal sign
product
order of operations
Sum of Interior Angles of a Polygon: (n - 2) x 180
equation
32. Basic Number Properties and elementary operations.
mixed number
1 - (y/100)
When you are absolutely sure the variable or expression <> 0
Number Systems
33. The distance around a figure.
When to use fractions
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
perimeter
unit ratio
34. 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
How the Last Digit Shortcut works
percent
Converting Improper Fractions to Mixed Numbers
62.5%
35. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
improper fractions
scalene triangle
Same units
Proof
36. 1 to any power is equal to
parallel lines
To add integers that have opposite signs:
1
2
37. When working with nested signs of grouping
equivalent
UnitPrice ($/unit) x Qty.Purchas'd (units)
Unit Price x Qty. Sold
always clear the innermost groups first
38. 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.
Percent Change
Zero multiplied by any value
diameter
improper fractions
39. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
farther to the left on the number line
percent
Magnitude
Reducing: The Brute-Force Method
40. The study of quantity
Mathematics
obtuse angle
Aliquot and Aliquant Parts
x-coordinate
41. A triangle with sides of different lengths and no two angles are the same
scalene triangle
equation
before solving
base
42. The smallest multiple that two or more numbers have in common
Axiom VIII.
least common multiple (LCM)
y-coordinate
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
43. To indicate the addition operation- to indicate a positive integer value
common factor
A plus sign (+) is used for two entirely different purposes:
quotient
To make sure to solve for Both cases.
44. Is equal to zero. 0 x a = 0
reciprocal
Zero multiplied by any value
divisor
reduced fraction
45. All the positive whole numbers
integer values
Even
when there are explicit or implicit equations in the problem:
Zero (0)
46. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
common factor
Axiom IX.
both integers are positive or both are negative
47. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
How the Last Digit Shortcut works
higher terms
dividing the numerator and denominator by the same number
Unit Cost + Markup
48. Decreasing the Denominator of a fraction Increases/Decreases the value?
Inserting a zero at the left end of a whole number
lowercase Variables
Increases the value.
Revenue ($) - Cost ($)
49. Is the opposite of raising fractions to higher terms.
radius
A = (Diagonal1 x Diagonal2) / 2
Reducing fractions
scalene triangle
50. When are you allowed to divide by a variable - (or Any expression) ?
vertex (vertices - plural)
When you are absolutely sure the variable or expression <> 0
Axiom III.
Absolute and Relative