ALGEBRA QUESTIONS

W3.

· How do you define math anxiety?

• What are some causes of math anxiety?

• What are some tips for overcoming math anxiety?

• In your opinion, is math anxiety real, or is it imagined?

reference a minimum of two sources to inform your work in this post. You must write in complete sentences, and your post must contain a minimum of 300 words

W3.1. What is the 4 step problem-solving strategy for solving application problems?

W3.2. Distinguish between a contradiction and an identity.

W3.3. Define a linear inequality and list the 3 properties of inequalities.

W3.4. What is direct Variation and what are the 4 steps to solving a direct variation problem.

W4. 1. Discuss the difference in linear and non-linear data

W4. 2. Define a quadratic function.  Write the standard form of a quadratic function

W4. 3. Explain and write the vertex formula for a quadratic function

W4. 4.  Explain the following and give examples of when they occur

a. Shifting a graph upwards and downwards

b. Vertically stretching and shrinking a graph

c. horizontal stretching and shrinking

d. Reflection across the x and the y-axis

W4. 5.  Write the quadratic formula and explain what this formula is used for

W6. 1. Explain the characteristics of an 

a. Odd function

b. Even function

W6. 2.  Let 𝑓(𝑥)=3−5𝑥+2𝑥3−12𝑥4f(x)=3−5x+2x3−12x4

a. give the degree and the leading coefficient

b. State the end behavior of the graph of \(f(x))

W6. 3. What is synthetic division, give an example

W6. 4.  Find a polynomial f(x) of degree 3 with leading coefficient -3 and zeros 4, 2i, and -2i

a. completely factored form 

b. and the expanded form 

W7. Synthetic Division       Synthetic Division

Division of Polynomial         Polynomial Division

Both are methods of dividing polynomials.  Which one seems like a better method to you and why?  AS you are doing your homework and practicing problems, try both methods.  Which one was easier? You must respond with a minimum of 300 words.  

W7. 1. Explain the following:

a. Division by a monomial

b. Division by a polynomial

c. Division Algorithm

d. Synthetic Division

W7. 2. What is a rational function/ Explain and give an example

W7. 3. What is Direct Variation? Explain and give an example

W7. 4. What are the properties of Rational Exponents?  List all 6 and give an example.

W8. ONE real-life example where Logarithms are used?  You must have a minimum of 300 words and you must cite your references.

W9. 1. write out your questions and scan your answers.  You must show all work to get full credit.  Answer the following questions

From section 6.1

1. In 2003, gross sales at McDonald’s and Burger King totaled $60.9 billion. McDonald’s sales exceeded Burger King’s sales by $22.1 billion.

(a)  Write a system of equations whose solution gives the individual sales of each company in billions of dollars.

(b)  Solve the system of equations.

(c)  Is your system consistent or inconsistent? If it is consistent, state whether the equations are dependent or independent.

W9. 2. Solve the system symbolically

3x-2y=5

x+5y=13

W9. 3 Write a summary of the video on Graphing Inequalities.

https://youtu.be/CA4S7S-3Lg4

W9.4 .  A refinery produces both gasoline and fuel oil, and sells gasoline for $4.00 per gallon and fuel oil for $3.60 per gallon. The refinery can produce at most 600,000 gallons a day, but must produce at least 2 gallons of fuel oil for every gallon of gasoline. At least 150,000 gallons of fuel oil must be made each day for the coming winter. Determine how much of each type of fuel should be produced to maximize revenue.

W9. 5 read the link  Introduction to Matrices .

Answer the following questions

a. What is a matrix?

b. What is a matrix Dimension

c. What is a matrix element?