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CLEP General Mathematics: Arithmetic Basics

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 to any power is equal to
Inserting a zero at the left end of a whole number
1
parallel lines
Evaluating Powers With Negative Exponents

2. The absolute value of numbers is indicated by
pyramid
Zero (0)
enclosing the numbers in a pair of vertical lines | |
Carry the 10's digit of the product to the top of the 10's column of factors.

3. The action of the mind whereby a quantity is measured by Unity or a Unit.
equal to 1
Computation
Whole Numbers
1

4. 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
greatest common factor (GCF)
ordered pair
Converting Improper Fractions to Mixed Numbers
mean

5. Percent Decrease Formula ?
parallelogram
acute angle
Odd
Original x (1 - x/100) = New

6. Is equal to zero. 0 x a = 0
Zero multiplied by any value
complementary angle
fraction or broken number
exponent

7. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Odd
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
Multitudes and Magnitudes
radius

8. .625 --> Percent?
62.5%
circumference
change the operation from subtraction to addition
Even

9. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
farther to the right on the number line.
The Decimal Numbering System
ratio

10. Two angles whose sum equals 90 degrees
complementary angle
range
Axiom III.
quotient

11. A whole number can be expressed as an improper fraction by
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Odd
putting that number over 1
When the addends have opposite signs one is + and the other is -

12. Indicates the number of times the base is to be multiplied
x-coordinate
exponent
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
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

13. Total Sales or Revenue = ?
sample
Percent Change
Arithmetic - Music - Geometry and Astronomy
Unit Price x Qty. Sold

14. The numerator of the fraction part of the mixed number is the remainder from the
Number
isosceles triangle
proper fraction
quotient

15. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Odd
Even
common factor
product

16. Odd +/- ____ = Odd
Even
Subtracting Signed Integers
dividend
Step 1 of Converting Improper Fractions to Mixed Numbers

17. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
Reducing fractions
A sum of 2 primes is Odd
rate

18. A self-evident statement - that is - one that does not need to be demonstrated.
To add integers that have the same sign both positive or both negative:
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Known quantities
axiom

19. Switch to a number-picking strategy
Axiom V.
Alternative to the algebraic manipulation method to solving a VIC
circumference
UnitPrice ($/unit) x Qty.Purchas'd (units)

20. When will a decimal Not terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Any value multiplied by one
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
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

21. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
Parts
proportion
inverse

22. The vertical number line of a coordinate graph
exponent
Carry the 10's digit of the product to the top of the 10's column of factors.
y-axis
whether the addends have the same sign or opposite signs

23. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
improper fraction
change the operation from subtraction to addition
scalene triangle

24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
62.5%
x-coordinate
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

25. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
reduced fraction
0
To square an equation to solve it

26. Having the same size and shape
scalene triangle
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
probability
congruent

27. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
area
When to use fractions
y-coordinate
Odd

28. Lines in the same plane that do not intersect. The symbol //
parallel lines
Axiom VII.
angle
Axiom III.

29. A solid figure with two congruent and parallel circular bases
When to use the Heavy Division Shortcut - and how to do it
x-axis
cylinder
A = (D1 x D2) / 2

30. 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 -
reflection
median
The height of a triangle

31. Any whole number can be expressed in terms of the
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
prime number
Axiom III.
product

32. An angle measuring more than 90 degrees and less than 180 degrees
Subtracting Signed Integers
trapezoid
whether the addends have the same sign or opposite signs
obtuse angle

33. A triangle that has three equal sides and three equal angles
rhombus
To add integers that have opposite signs:
putting that number over 1
equilateral triangle

34. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Number Systems
Computation
Even and Odd
farther to the right on the number line.

35. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
(Last - First + 1)
Original + Change = New Change/Original = Percent Change
radius
rhombus

36. The number being divided is called the
Inequality
1
dividend
There are two parts in the procedure for subtracting signed integers:

37. 'y percent less than' = ?
5/8
2
Relative multitude
1 - (y/100)

38. A ratio that shows the cost per unit of measure
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
quotient
cubed
unit ratio

39. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
When numbers do not divide evenly
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
fraction or broken number
Subtracting Signed Integers

40. Is the disagreement of things in Quantity.
Odd
Inequality
isosceles triangle
proportion

41. 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.
diameter
How the Last Digit Shortcut works
farther to the right on the number line.
equivalent

42. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
referred to Unity in the same way
complementary angles
from left to right
median

43. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Zero multiplied by any value
absolute value
Original x (1 - x/100) = New

44. An angle that measures 90 degrees
farther to the left on the number line
Adding negative integers will always produce a negative sum
x-axis
right angle

45. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
probability
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
simplify

46. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
right triangle
prism
Known quantities

47. Always perform combinations of multiplication and division before
1
There are two parts in the procedure for subtracting signed integers:
reflection
combination of addition and subtraction

48. An angle that measures 180 degrees
Original x (1 - x/100) = New
circumference
parallel lines
straight angle

49. Has no sign value
when there are explicit or implicit equations in the problem:
vertex (vertices - plural)
Zero (0)
'six cubed'

50. Whole is equal in Multitude to a Part of the other.
Equal
Both
Even div. by 4
The rule for adding negative integers is the same as the rule for adding positive integers: