Question 1

____ is a term used to describe when two algebraic expressions are in a state of equality to each other.

Accepted Answer

A)  Law 
B)  Equation 
C)  Constant 
D)  Variable 
A)  Law 
B)  Equation 
C)  Constant 
D)  Variable B

Question 2

We can use trigonometry to find an unknown angle if we already know two of the sides.

Accepted Answer

A) True 
 B)False  True

Question 3

$ \sin a $ = ____

Accepted Answer

A)  Opposite x Hypotenuse 
B)  Opposite / Hypotenuse 
C)  Opposite + Hypotenuse 
D)  Hypotenuse - Opposite 
A)  Opposite x Hypotenuse 
B)  Opposite / Hypotenuse 
C)  Opposite + Hypotenuse 
D)  Hypotenuse - Opposite B

Question 4

What is the cosine of 30 degrees to four decimal places?

Accepted Answer

A)  0.5000 
B)  0.5774 
C)  0.8660 
D)  1.0000 
A)  0.5000 
B)  0.5774 
C)  0.8660 
D)  1.0000

Question 5

State the order of operations when working with mathematical operations.

Accepted Answer

Below is a list that describes the order

Question 6

____ are fractions that act like mathematical analogies that describe the relationship between values.

Accepted Answer

A)  Proportions 
B)  Equations 
C)  Formulas 
D)  Scientific notations 
A)  Proportions 
B)  Equations 
C)  Formulas 
D)  Scientific notations

Question 7

____ triangle trigonometry is only concerned with triangles that do not contain a right angle.

Accepted Answer

A)  Right 
B)  Algebraic 
C)  Pythagorean 
D)  Oblique 
A)  Right 
B)  Algebraic 
C)  Pythagorean 
D)  Oblique

Question 8

Variables can be represented by any symbol, including letters, special characters, and even words or abbreviations.

Accepted Answer

A) True 
 B)False

Question 9

$ \sqrt{144}= $ ____

Accepted Answer

A)  8 
B)  10 
C)  12 
D)  13 
A)  8 
B)  10 
C)  12 
D)  13

Question 10

Discuss unit conversions and proportions.

Accepted Answer

Unit conversions are another common prob

Question 11

Any equation that uses one or more ____ is said to be algebraic.

Accepted Answer

A)  exponents 
B)  formulas 
C)  variables 
D)  numbers 
A)  exponents 
B)  formulas 
C)  variables 
D)  numbers

Question 12

What are the three basic rules of working with exponents?

Accepted Answer

The three basic rules are as follows:
1.

Question 13

What is the Law of Cosines?

Accepted Answer

A)  $ a^{2}=b^{2}+c^{2}-2 b c \cos A $ 
B)  $ a^{2}=b^{2}+c^{2}+2 b c \cos A $ 
C)  $ a^{2}=\left(b^{2}+c^{2}\right) \times 2 b c \cos A $ 
D)  $ a^{2}=\left(b^{2}+c^{2}\right) \div 2 b c \cos A $ 
A)  $ a^{2}=b^{2}+c^{2}-2 b c \cos A $ 
B)  $ a^{2}=b^{2}+c^{2}+2 b c \cos A $ 
C)  $ a^{2}=\left(b^{2}+c^{2}\right) \times 2 b c \cos A $ 
D)  $ a^{2}=\left(b^{2}+c^{2}\right) \div 2 b c \cos A $

Question 14

When is the Law of Sines used?

Accepted Answer

The Law of Sines is used anytime we are

Question 15

We notice while milling an unfamiliar material that the tool tends to perform the best when turning at 1200 RPM with a ø 0.750" end mill. We will have this material to machine often, so we decide that it would be a good idea to document the cutting velocity for future reference. What is the cutting velocity?

Accepted Answer

A)  224 ft/min 
B)  236 ft/min 
C)  245 ft/min 
D)  267 ft/min 
A)  224 ft/min 
B)  236 ft/min 
C)  245 ft/min 
D)  267 ft/min

Question 16

An equation that needs significant further work to give a useful answer is often called a formula.

Accepted Answer

A) True 
 B)False

Question 17

What are the two categories of trigonometry?

Accepted Answer

The first is called right triangle trigo

Question 18

We need to understand the definitions of four basic trigonometric functions to solve right triangles.

Accepted Answer

A) True 
 B)False

Question 19

In the Law of Cosines, the variable names are not arbitrary.

Accepted Answer

A) True 
 B)False

Question 20

____ notation is often used to describe very large or very small numbers without having to include all of the leading and trailing zeros.

Accepted Answer

A)  Scientific 
B)  Algebraic 
C)  Formulaic 
D)  Exponential 
A)  Scientific 
B)  Algebraic 
C)  Formulaic 
D)  Exponential

____ is a term used to describe when two algebraic expressions are in a state of equality to each other.

We can use trigonometry to find an unknown angle if we already know two of the sides.

$\sin a$ = ____

What is the cosine of 30 degrees to four decimal places?

State the order of operations when working with mathematical operations.

____ are fractions that act like mathematical analogies that describe the relationship between values.

____ triangle trigonometry is only concerned with triangles that do not contain a right angle.

Variables can be represented by any symbol, including letters, special characters, and even words or abbreviations.

$\sqrt{144}=$ ____

Discuss unit conversions and proportions.

Any equation that uses one or more ____ is said to be algebraic.

What are the three basic rules of working with exponents?

What is the Law of Cosines?

When is the Law of Sines used?

An equation that needs significant further work to give a useful answer is often called a formula.

What are the two categories of trigonometry?

We need to understand the definitions of four basic trigonometric functions to solve right triangles.

In the Law of Cosines, the variable names are not arbitrary.

____ notation is often used to describe very large or very small numbers without having to include all of the leading and trailing zeros.

Computer Numerical Control of Machine Tools

Measurement and Quality

The Nc Programming Process

Nc Materials, Tooling and Machining Processes

Tool and Workpiece Setup

Programming Concepts and Job Planning

Codes for Positioning and Milling

Basic Codes to Control Machine Functions

Hole-Making Cycles

Tool Radius Compensation

Advanced Programming Concepts

Lathe Programming

Cadcam

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Exam 14: Mathematics for Nc Programming

____ is a term used to describe when two algebraic expressions are in a state of equality to each other.

We can use trigonometry to find an unknown angle if we already know two of the sides.

sin⁡a \sin a sina = ____

What is the cosine of 30 degrees to four decimal places?

State the order of operations when working with mathematical operations.

____ are fractions that act like mathematical analogies that describe the relationship between values.

____ triangle trigonometry is only concerned with triangles that do not contain a right angle.

Variables can be represented by any symbol, including letters, special characters, and even words or abbreviations.

144= \sqrt{144}= 144​= ____

Discuss unit conversions and proportions.

Any equation that uses one or more ____ is said to be algebraic.

What are the three basic rules of working with exponents?

What is the Law of Cosines?

When is the Law of Sines used?

An equation that needs significant further work to give a useful answer is often called a formula.

What are the two categories of trigonometry?

We need to understand the definitions of four basic trigonometric functions to solve right triangles.

In the Law of Cosines, the variable names are not arbitrary.

____ notation is often used to describe very large or very small numbers without having to include all of the leading and trailing zeros.

Computer Numerical Control of Machine Tools

Measurement and Quality

The Nc Programming Process

Nc Materials, Tooling and Machining Processes

Tool and Workpiece Setup

Programming Concepts and Job Planning

Codes for Positioning and Milling

Basic Codes to Control Machine Functions

Hole-Making Cycles

Tool Radius Compensation

Advanced Programming Concepts

Lathe Programming

Cadcam

Filters

$\sin a$ = ____

$\sqrt{144}=$ ____