## Polynomial Equations And Factoring Chapter Review

**7.1 Adding and Subtracting Polynomials**

Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.Question 1.

Answer:

Question 15.The expression 2 represents the area covered by the hour hand on a clock in one rotation, where r is the radius of the entire clock. Write a polynomial in standard form that represents the area covered by the hour hand in one rotation.Answer:

Question 16.A magicians stage has a trapdoor.a. The total area of the stage can be represented by x2 + 27x + 176. Write an expression for the width of the stage.b. Write an expression for the perimeter of the stage.c. The area of the trapdoor is 10 square feet. Find the value of x.d. The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.Answer:

Write a polynomial equation in factored form that has three positive roots.Answer:

Question 18.You are jumping on a trampoline. For one jump, your height y above the trampoline after t seconds can be represented by y = -16t2 + 24t. How many seconds are you in the air?Answer:

A cardboard box in the shape of a rectangular prism has the dimensions shown.a. Write a polynomial that represents the volume of the box.b. The volume of the box is 60 cubic inches. What are the length, width, and height of the box?Answer:

## Lesson 34 Graphing Linear Equations In Standard Form

**Essential Question**How can you describe the graph of the equation Ax + By = C?Answer:When A and B are not both zero,The graph of Ax + By = C is always a line.Now,Divide both sides by BBecause the form Ax + By = C can describe any line,It is called the standard form of an equation for a line.

**EXPLORATION 1Using a Table to Plot PointsWork with a partner. **You sold a total of $16 worth of tickets to a fundraiser. You lost track of how many of each type of ticket you sold. Adult tickets are $4 each. Child tickets are $2 each.a. Let x represent the number of adult tickets. Let y represent the number of child tickets. Use the verbal model to write an equation that relates to x and y.Answer:It is given that you sold a total of $16 worth of tickets to a fundraiser. You lost track of how many of each type of ticket you sold. Adult tickets are $4 each. Child tickets are $2 each.It is also given thatLet x be the number of adult ticketsLet y be the number of child ticketsSo,The total cost of tickets = The total cost of tickets = × + × So,We can conclude that the equation that relates x and y is:x + 2y = 8

b. Copy and complete the table to show the different combinations of tickets you might have sold.Answer:The equation that represents the number of different tickets sold is:x + 2y = 8y = \So,The completed table that shows the different combinations of tickets you might have sold is:

**Communicate Your Answer**

**3.4 Lesson**

The x-intercept is: The y-intercept is:

Question 29.

Question 6.

## Polynomial Equations And Factoring 7174 Quiz

Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.Question 1.

= 0Answer:

-3y = 0Answer:

You are making a blanket with a fringe border of equal width on each side.a. Write a polynomial that represents the perimeter of the blanket including the fringe.b. Write a polynomial that represents the area of the blanket including the fringe.c. Find the perimeter and the area of the blanket including the fringe when the width of the fringe is 4 inches.Answer:

Question 20.You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The expression 10002 represents the balance after 2 years, where r is the annual interest rate in decimal form.a. Write the polynomial in a standard form that represents the balance of your account after 2 years.b. The interest rate is 3%. What is the balance of your account after 2 years?c. The guitar costs $1100. Do you have enough money in your account after 3 years? Explain.Answer:

Question 21.The front of a storage bunker can be modeled by y = \, where x and y are measured in inches. The x-axis represents the ground. Find the width of the bunker at ground level.Answer:

**Read Also: Algebra 2 Unit Test Edgenuity **

## Big Ideas Math Algebra 1 Answers Chapter 3 Graphing Linear Functions

Searching for engaging ways and opportunities to learn the concepts of Big Ideas Math Algebra 1 Answers Ch 3 Graphing Linear Functions? Then make use of this guide for BIM Book Algebra 1 Chapter 3 Graphing Linear Functions Answers and understand various concepts behind them. Preparing from the Big Ideas Math Book Ch 3 Graphing Linear Functions help you to understand the concepts easily.

The Big Ideas Math Algebra 1 Answer Key Ch 3 Graphing Linear Functions includes Questions from Exercises 3.1 to 3.7, Chapter Tests, Practice Tests, Cumulative Assessment, Review Tests, etc. Practice using the BIM Algebra 1 Graphing Linear Functions Solution Key and learn all the fundamentals involved. Big Ideas Math Algebra 1 Ch 3 Graphing Linear Functions Answer Key is available free of cost and you can prepare using it anytime and anywhere.

## Graphing Absolute Value Functions 37 Exercises

**Vocabulary and Core Concept Check**

Question 1.The point is the _______ of the graph of f = -3 | x 1 | 4.Answer:

Question 2.**USING STRUCTURE**How do you know whether the graph of f = a | x h | + k is a vertical stretch or a vertical shrink of the graph of f = | x | ?Answer:f = a | x h | + kWhere,a is the vertical stretch or vertical shrinkh is the horizontal translationk is the vertical shiftNow,a will be the vertical stretch if the value of a is an integera will be the vertical shrink if the value of a is a fractionHence, from the above,We can conclude that the given function is a vertical stretch

Question 3.Describe three different types of transformations of the graph of an absolute value function.Answer:

Question 4.**REASONING**The graph of which function has the same y-intercept as the graph of f = | x 2 | + 5? Explain.Answer:The given absolute value functions are:a. f = | x 2 | + 5b. g = | 3x 2 | + 5c. h = 3 | x 2 | + 5We know that,| x | = x for x > 0| x | = -x for x < 0Now,The given absolute value function is:f = | x 2 | + 5So,f = x 2 + 5 or f = – + 5f = x + 3 or f = -x + 2 + 5f = x + 3 or f = -x + 7

b.The given absolute value function is:g = | 3x 2 | + 5So,g = 3x 2 + 5 or g = + 5g = 3x + 3 or g = -3x + 2 + 5g = 3x + 3 or g = -3x + 7

a is the vertical stretchFrom the graph,We can observe that the vertical stretch occurs at Hence, from the above,We can conclude that the value of a is: 2

Question 23.vertical translation 7 units downAnswer:

**Also Check: Calculating Half-life **

## Big Ideas Math Book Algebra 1 Answer Key Chapter 3 Graphing Linear Functions

Solving all the Big Ideas Math Book Algebra 1 Chapter 3 Graphing Linear Functions Textbook Questions you can improve your speed and accuracy in the exam. You can access all the Big Ideas Math Algebra 1 Answers Graphing Linear Functions Exercises and Lessons through quick links available below. Just tap on them and seek the homework help you might need and enhance your math proficiency.

The value of the expression for the given value of x is: -6

Explanation:15x + 9 with x = -1Hence,The value of the expression is:15 + 9 = -15 + 9 = -6Hence, from the above,We can conclude that the value of the expression for the given value of x is: -6

Question 13.**ABSTRACT REASONING**Let a and b be positive real numbers. Describe how to plot , , , and .Answer:It is given that a and b are positive real numbersThe given points are , , and Let the names of the points be:A , B , C , and D We know that,The coordinate plane is divided into 4 parts. These parts are called QuadrantsSo,The representation of a and b in the 4 quadrants are:1st Quadrant:

y = -2x + 1Now,We can find the values of x and y by putting the values 0, 1, 2..Hence,The representation of the given equation in the coordinate plane is:

Question 8.y = \x 4Answer:y = \x 4Now,We can find the values of x and y by putting the values 0, 1, 2..Hence,The representation of the given equation in the coordinate plane is:

## Big Ideas Math Book Algebra 1 Answer Key Chapter 7 Polynomial Equations And Factoring

Solving all practice questions, quizzes, and text questions provided here on Big Ideas Math Algebra 1 Answers Chapter 7 Polynomial Equations and Factoring aid in your preparation. Big Ideas math book Answers not only provides solutions to every chapter of Algebra 1 but also offering Grade K to High School **Big Ideas Math Answers Solutions **Common Core 2019 PDF Download.

So, download the pdfs and start preparing math concepts covered in Common Core Edition 2019 Big Ideas Math Books and score better marks in the annual exams. To help you out in choosing the** Topic-wise Ch 7 Big Ideas Math Book Algebra 1 Polynomial Equations and Factoring Exercises Answers**, we have given direct links below. Click on the respective link and kickstart your learnings.

**Don’t Miss: Kim Kardashian’s Biological Father **

## Algebra 1 Chapter 3 Vocabulary

All your puzzles are accessible from your ‘My Puzzles’ page, which you can access using the navigation bar at the top when you are logged in.

Be sure to log in using the same email address you used when you created your puzzle.

There is a blue button next to the big 3 on the left of your puzzle that will let you sign up for a plan or purchase a single puzzle.

Once paid, that button will turn into a ‘Publish’ button that will put your puzzle in a format that can be printed or solved online.

Once you publish your puzzle, you can click the print icon or use your browsers print function.

We invested in building a number of premium features that free sites are unable to offer: full style customization, save-as-you-go puzzle editing, the ability to access your puzzles from any computer, an uncluttered and ad-free interface, the ability for friends and colleagues to solve your puzzles online, and quick responsiveness to reported issues.

My Word Search is the lowest-price service we’ve found that provides these features, and is designed for people who are not satisfied with what free sites are able to provide.

First check whether you used a different email address to create your account. Your login email is the email address where you received a welcome email from us.

If you are a member of My Word Search and are still being asked for payment, then you may have inadvertently created a second account.

Support representatives cannot cancel a subscription on your behalf.

## Graphing Linear Functions Chapter Review

**3.1 Functions**

**Determine whether the relation is a function. Explain. **Answer:

The representation of the given linear equation in the coordinate plane is:

Question 24.A linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases. Graph h when h = 2. Identify the slope, y-intercept, and x-intercept of the graph. Let f = 3x + 4. Graph f and h. Describe the transformation from the graph of f to the graph of h.Answer:It is given that a linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases.We know that,x represents the independent variabley represents the dependent variableSo,The given x value is: 3The given y value is: -2So,The rate of change slope = \= \It is also given that h = 2That means the y-intercept of h is 2 when x is 0We know that,The representation of the standad form of the linear equation is:y = mx + ch =-\x + 2The other given function is:f = 3x + 4The representation of f in the same coordinate plane is:Hence, from the above,We can conclude that h is 1.5 units away from f on the x-axis

**Let f = 3x + 4.Graph f and h. Describe the transformation from the graph of f to the graph of h.**

Question 25.

Question 37.Let g = \ | x 1 | 2. Describe the transformations from the graph of f = | x | to the graph of g.Answer:

Question 7.

m = 2 and c = 1Where,c is the y-intercept

**You May Like: Whatever Happened To Beth Thomas Child Of Rage **

## Polynomial Equations And Factoring Cumulative Assessment

Question 1.Classify each polynomial by the number of terms. Then order the polynomials by degree from least to greatest.a. -4×3

Which exponential function is increasing the fastest over the interval x = 0 to x = 2 ?Answer:

Find all solutions of the equation x3 + 6×2 4x = 24.Answer:

Question 4.The table shows the distances you travel over a 6-hour period. Create an equation that models the distance traveled as a function of the number of hours.Answer:

Consider the equation y = \x + 2.a. Graph the equation in a coordinate plane.b. Does the equation represent a linear or nonlinear function?c. Is the domain discrete or continuous?Answer:

Which expressions are equivalent to -2x + 15×2 8?Answer:

The graph shows the function f = 2x.a. Is the function increasing or decreasing for increasing values of x?b. Identify any x- and y-intercepts.Answer:

Which polynomial represents the product of 2x 4 and x2 + 6x 2?A. 2×3 + 8×2 4x + 8B. 2×3 + 8×2 28x + 8C. 2×3 + 8

## Lesson 37 Graphing Absolute Value Functions

**Essential Question**How do the values of a, h, and k affect the graph of the absolute value function g = a | x h | + k? The parent absolute value function is f = | x | Parent absolute value functionThe graph of f is V-shaped.Answer:The given absolute value function is:g = a | x h | + kThe parent function for the given absolute value function is:f = | x |It is also given that the graph of f is v-shapedNow,The given absolute value function has the constants a, x, h, and kNow,x h represents the translation of the x-axis where h is the translation valueEx:x is the original function and h is the translation factor of xNow,k represents the y-intercept of the given absolute value functionThe value of k affects the graph of the given absolute value function to translate on the y-axis up and down or shrink and stretch

**Communicate Your Answer**

Question 2.How do the values of a, h, and k affect the graph of the absolute value function g = a | x h | + k?Answer:The given absolute value function is:g = a | x h | + kFrom the above absolute value function,We can say thata, h and k are constantsNow,a represents the constant to multiply g h represents the translation factor on the x-axisk represents the y-intercept of the given functionThe value of h and k affect the graph in such a way that the graph can move anywhere in the graph

**3.7 Lesson**

**Monitoring Progress**

**Graph the function. Compare the graph to the graph of f = | x |. Describe the domain and range.**

Question 1.

**Don’t Miss: Unit 1 Test Geometry Basics Answers **

## Big Ideas Math Algebra 1 Answers Chapter 7 Polynomial Equations And Factoring

Wondering how to ace up your preparation for Chapter 7 Polynomial Equations and Factoring? Then dont be worried at all. Here comes the best & helpful guide ie., **Big Ideas Math Algebra 1 Answers Chapter 7 Polynomial Equations and Factoring.** By referring to this guide, you will find all Polynomial Equations and Factoring topics answers and solutions in an explanative way & understand each and every concept of polynomials and factoring so easily.

For better learnings, we have curated Big Ideas Math Book Algebra 1 Ch 7 Polynomial Equations and Factoring 7.1 to 7.8 Exercises Questions, Chapter Review, Chapter Test, Cumulative Assessment, etc. Also, check out the more **Big Ideas Math Algebra 1 Answers**to gain more marks in the examinations.

## A16 Algebra 1 Chapter 3 Resource Book Answers Lesson

- School

* This preview shows page 3 out of 3 pages.*

Week 5 Topic 2 Using Multiplication and Division to Solve Linear Equations.pdf

Chamberlain College of Nursing

College of Accounting & Management Sciences

MATH 101

Florida Virtual High School ALGEBRA ALGEBRA I

practice_a.pdf

Florida Virtual School MATH ALGEBRA

4.03 notes.docx

Bonanza High School PSYCHOLOGY 40

Copy_of_GeomS1_-_M04L03_Study_Sheet_

Chamberlain College of Nursing MATH 062N

Week 5 Topic 2 Using Multiplication and Division to Solve Linear Equations.pdf

College of Accounting & Management Sciences MATH 101

7.6_examples.pdf

**Also Check: Hawkes Learning Statistics Quizlet **

## Graphing Linear Functions Cumulative Assessment

Question 1.You claim you can create a table of values that represents a linear function. Your friend claims he can create a table of values that represents a nonlinear function. Using the given numbers, what values can you use for x and y to support your claim? What values can your friend use?Answer:It is given that you claim you can create a table of values that represents a linear function. Your friend claims he can create a table of values that represents a nonlinear function.Hence,The values you and your friend use are:

Question 2.A car rental company charges an initial fee of $42 and a daily fee of $12.a. Use the numbers and symbols to write a function that represents this situation.b. The bill is $138. How many days did you rent the car?Answer:a.It is given that a car rental company charges an initial fee of $42 and a daily fee of $12So,The function that represents the situation is:f = × xf = 52xx is the number of days that you rent the car

b.It is given that the bill is: $138So,

The given compound inequality is:2 | x 5 | < 162 < 16 an d 2 > -162x 10 < 16 and 2x 10 > -162x < 26 and 2x > -6x < 13 and x > -3Hence,The solution of the given compoud inequality is: -3 < x < 13Now,The sum of all the integers = -2 1 + 0 + 1 + 2 + 3 + 4 + 5+ 6 + 7 + 8 +9 + 10 + 11 + 12= 75We can conclude that the sum of all the integers is: 75