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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 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.
Relative multitude
scale drawing
vertex (vertices - plural)
area
2. Unit Profit = ?
Sale Price - Unit Cost
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Number
The Ratio of Any two of the following: Original - Change and New
3. To make a fraction easier to work with by taking out common factors
1
Equality
When to use the Heavy Division Shortcut - and how to do it
simplify
4. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Step 1 of Converting mixed numbers to improper fractions
mixed number
Species
x-axis
5. The result of the division called the
Change + - Original = New
mean
quotient
product
6. Any number with an exponent of 1
Axiom VII.
equal to itself.
There are two parts in the procedure for subtracting signed integers:
fraction or broken number
7. Any number with a negative exponent
y-axis
equal to 1 divided by that number with a positive exponent
Step 1 of Converting Improper Fractions to Mixed Numbers
referred to Unity in the same way
8. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Odd or Non-Int
Alternative to the algebraic manipulation method to solving a VIC
x-coordinate
Axiom VIII.
9. Having the same size and shape
axiom
dividing the numerator and denominator by the same number
To add integers that have opposite signs:
congruent
10. The result of muliplying two or more numbers
Increases the value.
product
the same point on the number line
Even or Non-Int
11. The result of dividing one number by another; the solution to a division problem
quadrilateral
quotient
sample
Odd
12. All the positive whole numbers
( (Last - First) / Increment ) + 1
integer values
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
2
13. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
When the addends have the same sign both + or both -
A = (D1 x D2) / 2
A sum of 2 primes is Odd
dividend
14. A value that combines a whole number and a fractional amount
Step 2 of Converting mixed numbers to improper fractions
mixed number
exactly the same portion
Axiom IX.
15. Rules that tell which steps to follow when solving an expression
polygon
ratio
order of operations
When to use fractions
16. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
quotient
trapezoid
composite number
Evaluating Powers With Negative Exponents
17. Total Sales or Revenue = ?
Equal
Axiom II.
Unit Price x Qty. Sold
2
18. The number being divided is called the
supplementary angles
common factor
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
dividend
19. A parallelogram with four right angles
Inserting a zero at the left end of a whole number
Known quantities
Carry the 10's digit of the product to the top of the 10's column of factors.
rectangle
20. Any whole number can be expressed in terms of the
product
To add integers that have opposite signs:
Whole
base
21. Odd / Even = ? e.g. 9/6 = 1.5
To find out - easily - if one fraction is bigger than another
mixed fraction
Non-Int
Axiom III.
22. Switch to a number-picking strategy
square root
Alternative to the algebraic manipulation method to solving a VIC
cylinder
Odd
23. The sum of a group of numbers divided by the number of numbers; also known as the average
There are two parts in the procedure for subtracting signed integers:
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
mode
mean
24. A fraction with a numerator that is larger than or equal to its denominator.
0
Evaluating Powers With Negative Exponents
0.625
improper fraction
25. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
when there are explicit or implicit equations in the problem:
To square an equation to solve it
Aliquot Part
Axiom VIII.
26. Is equal to the original value. a x 1 = 1
like fractions
Any value multiplied by one
Species
'five squared'
27. Area of a Rhombus is?
x = (+-) a
When the addends have the same sign both + or both -
A = (D1 x D2) / 2
reduced fraction
28. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Shift DP 2 places right
Sum of Interior Angles of a Polygon: (n - 2) x 180
pi
least common multiple (LCM)
29. Always perform combinations of multiplication and division before
combination of addition and subtraction
straight angle
y-coordinate
Some integer/Some Power of 10
30. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
pi
The sum of all the integers from 20 to 100 - inclusive
rate
proportion
31. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Revenue ($) - Cost ($)
cubed
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Same units
32. In a group of values - the value that occurs most often.
More
parallelogram
When to use the Heavy Division Shortcut - and how to do it
mode
33. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
x = (+-) a
Species
one is positive and the other is negative
radius
34. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
ratio
composite number
y-axis
congruent
35. Every lesser number is contained in a greater more than once.
expression
Axiom VIII.
divisor
Step 2 of Converting Improper Fractions to Mixed Numbers
36. Always try to Factor a quadratic equation
ordered pair
When the addends have opposite signs one is + and the other is -
scalene triangle
before solving
37. The denominator of the fraction part of the mixed number is
greatest common factor (GCF)
The bottom side of the triangle
congruent
the denominator of the original improper fraction
38. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
unit ratio
The concept of trading decimal places and how it works
Inequality
polygon
39. What is the increment of a set of consecutive integers?
Some integer/Some Power of 10
before solving
2 and/or 5 only
1
40. A triangle that has three equal sides and three equal angles
Quantity is expressed
expression
Line Segments
equilateral triangle
41. Two angles whose sum is 180 degrees
Computation
supplementary angles
To add integers that have the same sign both positive or both negative:
When the addends have the same sign both + or both -
42. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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43. A sign of grouping can be omitted when it
Revenue ($) - Cost ($)
0.625
contains only a single number
farther to the right on the number line.
44. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
from left to right
octagon
Revenue ($) - Cost ($)
45. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
proportion
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Odd
46. The number to be multiplied by is called the
multiplier
Quantity is expressed
hexagon
divisor
47. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Unknown quantities
scalene triangle
axiom
48. The numerator is smaller than the denominator
proper fraction
trapezoid
Greater
range
49. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
62.5%
More
polygon
Step 2 of Converting mixed numbers to improper fractions
50. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
scale drawing
To add integers that have the same sign (both positive or both negative):
dividend