algebra 2 unit 5 lesson 2 homework answers

Algebra 2 Worksheets with answer keys

Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Absolute Value Equations
• Simplify Imaginary Numbers
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Dividing Complex Numbers
• Dividing Complex Number (advanced)
• End of Unit, Review Sheet
• Exponential Growth (no answer key on this one, sorry)
• Compound Interest Worksheet #1 (no logs)
• Compound Interest Worksheet (logarithms required)
• Simplify Rational Exponents
• Solve Equations with Rational Exponents
• Solve Equations with variables in Exponents
• Factor by Grouping
• 1 to 1 functions
• Evaluating Functions
• Composition of Functions
• Inverse Functions
• Operations with Functions
• Functions Review Worksheet
• Product Rule of Logarithms
• Power Rule of Logarithms
• Quotient Rule of Logarithms
• Logarithmic Equations Worksheet
• Dividing Polynomials Worksheet
• Solve Quadratic Equations by Factoring
• Solve Quadratic Equations by Completing the Square
• Quadratic formula Worksheet (real solutions)
• Quadratic Formula Worksheet (complex solutions)
• Quadratic Formula Worksheet (both real and complex solutions)
• Discriminant Worksheet
• Sum and Product of Roots
• Radical Equations
• Rationalizing the Denominator
• Simplify Rational Expressions Worksheet
• Dividing Rational Expressions
• Multiplying Rational Expressions
• Adding and Subtracting Rational Expressions (with like denominators)
• Adding and Subtracting Ratioal Expressions with Unlike Denominators
• Mixed Review on Rational Expressions

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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Alg2.5 Transformations of Functions

In this unit, students consider functions as a whole and understand how they can be transformed to fit the needs of a situation, which is an aspect of modeling with mathematics (MP4). Students make connections between representations as they translate, reflect, and apply scale factors to different types of functions. As the unit progresses, so too does the language students use to describe transformations with precision (MP6). The unit ends with students applying transformations to different functions to model a real world data set.

Translations, Reflections, and Symmetry

• 1 Matching up to Data
• 2 Moving Functions
• 3 More Movement
• 4 Reflecting Functions
• 5 Some Functions Have Symmetry
• 6 Symmetry in Equations
• 7 Expressing Transformations of Functions Algebraically

Scaling Outputs and Inputs

• 8 Scaling the Outputs
• 9 Scaling the Inputs

Putting It All Together

• 10 Combining Functions
• 11 Making a Model for Data

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About This Course

Welcome to the Math Medic Algebra 2 course! Here you will find a ready-to-be-taught lesson for every day of the school year, along with expert tips and questioning techniques to help the lesson be successful. Each lesson is designed to be taught in an Experience First, Formalize Later (EFFL) approach, in which students work in small groups on an engaging activity before the teacher formalizes the learning.

Our Algebra 2 course focuses on several function families and develops the graphical, analytical, verbal, and numerical analysis skills needed to flexibly work with these functions, with an emphasis on quadratics. The concept of function transformations is a big theme and woven throughout the course. This course was created using the Common Core State Standards as a guide. The standards taught in each Math Medic Algebra 2 lesson can be found here . The unit overviews and learning targets for the Math Medic Algebra 2 course can be found here .

Math Medic Help

Be Prepared

18 x + 30 18 x + 30

3 − 2 n 3 − 2 n

2 x − 6 2 x − 6

0.045 0.045

w − 3 w − 3

0.35 x + 0.4 0.35 x + 0.4

2 c + 3 2 c + 3

0.042 0.042

15 15 is greater than x x .

15 < x 15 < x

2 5 x + 4 2 5 x + 4

− x + 4 − x + 4

a. >; b. >; c. >; d. >

m = 2 m = 2

a = 0 a = 0

u = 2 u = 2

x = 4 x = 4

p = −2 p = −2

q = −8 q = −8

y = − 17 5 y = − 17 5

z = 0 z = 0

identity; all real numbers

conditional equation; q = − 9 11 q = − 9 11

conditional equation; k = 201 14 k = 201 14

contradiction; no solution

x = 1 2 x = 1 2

x = −2 x = −2

x = 12 x = 12

u = −12 u = −12

n = 2 n = 2

m = −1 m = −1

r = 1 r = 1

s = −8 s = −8

n = 9 n = 9

d = 16 d = 16

He bought two notebooks.

He did seven crosswords puzzles.

−15 , −8 −15 , −8

−29 , 11 −29 , 11

−33 , −32 , −31 −33 , −32 , −31

−13 , −12 , −11 −13 , −12 , −11

−10 , −8 , −6 −10 , −8 , −6

The average cost was $5,000.

The median price was $19,300.

ⓐ 36 ⓑ $26 ⓒ 125 % 125 %

ⓐ 33 ⓑ $36 ⓐ 175 % 175 %

8.8 % 8.8 %

ⓐ $600 ⓑ $1,800

ⓐ $2,975 ⓑ $11,475

He will earn $2,500.

She earned $7,020.

The rate of simple interest was 6%.

The rate of simple interest was 5.5%.

He paid $17,590.

She deposited $9,600.

b = 2 A h b = 2 A h

h = 2 A b h = 2 A b

C = 5 9 ( F − 32 ) C = 5 9 ( F − 32 )

b = 2 A − B h h b = 2 A − B h h

t = A − P P r t = A − P P r

r = A − P P t r = A − P P t

y = 9 − 4 x 7 y = 9 − 4 x 7

y = 1 − 5 x 8 y = 1 − 5 x 8

The window’s height is 12 meters.

The length of the base is 6 feet.

The measures of the angles are 20°, 70°, and 90°.

The measures of the angles are 30°, 60°, and 90°.

The length of the leg is 8.

The length of the leg is 12.

The length is 39 inches and the width is 16 inches.

The length is 17 yards and the width is 26 yards.

The lengths of the sides of the triangle are 5, 11 and 12 inches.

The lengths of the sides of the triangle are 4, 7 and 9 feet.

The length of the swimming pool is 70 feet and the width is 30 feet.

The length of the garden is 90 yards and the width is 60 yards.

The ladder reaches 12 feet.

He should attach the lights 8 feet from the base of the mast.

Jess has 41 nickels and 18 quarters.

Elane has 22 nickels and 59 dimes.

Eric bought thirty-two 49-cent stamps and twelve 35-cent stamps.

Kailee bought twenty-six 49-cent stamps and ten 20-cent stamps.

84 adult tickets, 31 student tickets

615 children’s tickets and 195 adult tickets

Orlando mixed five pounds of cereal squares and 25 pounds of nuts.

Becca mixed 21 gallons of fruit punch and seven gallons of soda.

The speed of the local train is 48 mph and the speed of the express train is 60 mph.

Jeromy drove at a speed of 80 mph and his mother drove 60 mph.

Christopher’s speed was 50 mph and his parents’ speed was 40 mph.

Ashley’s parents drove 55 mph and Ashley drove 62 mph.

Pierre and Monique will be 429 miles apart in 3 hours.

Thanh and Nhat will be 330 miles apart in 2.2 hours.

Suzy’s speed uphill is 1.8 1.8 mph and downhill is three mph.

The boat’s speed upstream is eight mph and downstream is12 mph.

Hamilton drove 40 mph in the city and 70 mph in the desert.

Phuong rode uphill at a speed of 12 mph and on the flat street at 20 mph.

Angie can buy 7 packs of juice.

Daniel can have 11 people at the party.

Sergio and Lizeth can travel no more than 500 miles.

Rameen can use no more than 76 therms.

Caleb must work at least 96 hours.

Elliot must work at least 85 jobs.

Brenda must babysit at least 27 hours.

Josue must shovel at least 20 driveways.

The homeowner can use 5–20 hcf and still fall within the “conservation usage” billing range.

The homeowner can use 16–40 hcf and still fall within the “normal usage” billing range.

ⓐ ± 2 ± 2 ⓑ no solution ⓒ 0

ⓐ ± 11 ± 11 ⓑ no solution ⓒ 0

x = 4 , x = − 2 3 x = 4 , x = − 2 3

x = −1 , x = 5 2 x = −1 , x = 5 2

x = 8 , x = 0 x = 8 , x = 0

x = 8 , x = 2 x = 8 , x = 2

No solution

x = − 2 5 , x = − 2 5 , x = 5 2 x = 5 2

x = 3 , x = 3 , x = 1 9 x = 1 9

The diameter of the rod can be between 79.991 and 80.009 mm.

The diameter of the rod can be between 74.95 and 75.05 mm.

Section 2.1 Exercises

y = 5 y = 5

w = −18 w = −18

q = 3 q = 3

x = 14 x = 14

c = 4 c = 4

c = 5 2 c = 5 2

y = −5 y = −5

s = 10 s = 10

p = −4 p = −4

c = −4 c = −4

h = 3 4 h = 3 4

m = 6 m = 6

conditional equation; j = 2 5 j = 2 5

conditional equation; m = 16 5 m = 16 5

x = −1 x = −1

y = −1 y = −1

a = 3 4 a = 3 4

w = 9 4 w = 9 4

b = 12 b = 12

p = −41 p = −41

x = − 5 2 x = − 5 2

n = −3 n = −3

u = 3 u = 3

x = 18 x = 18

x = 20 x = 20

d = 8 d = 8

L = 19.75 L = 19.75 feet

Answers will vary.

Section 2.2 Exercises

58 hardback books

−11 , −12 , −13 −11 , −12 , −13

−69 , −71 , −73 −69 , −71 , −73

ⓐ 54 ⓑ 108 ⓐ 30%

ⓐ 162.5 162.5 ⓑ $35 ⓐ 150%

$ 11.88 $ 11.88

−2.5 % −2.5 %

−11 % −11 %

ⓐ $ 26.97 $ 26.97 ⓑ $ 17.98 $ 17.98

ⓐ $576 ⓑ 30%

ⓐ $ 7.20 $ 7.20 ⓑ $ 23.20 $ 23.20

ⓐ $ 0.20 $ 0.20 ⓑ $ 0.80 $ 0.80

3.75 % 3.75 %

21.2 % 21.2 %

Section 2.3 Exercises

d = C π d = C π

L = V W H L = V W H

d 1 = 2 A d 2 d 1 = 2 A d 2

b 1 = 2 A h − b 2 b 1 = 2 A h − b 2

a = 2 h − 108 t t 2 a = 2 h − 108 t t 2

a = 180 − b − c a = 180 − b − c

p = 2 A − 2 B l p = 2 A − 2 B l

L = P − 2 W 2 L = P − 2 W 2

y = 15 − 8 x y = 15 − 8 x

y = −6 + 4 x y = −6 + 4 x

y = 4 + x y = 4 + x

y = 7 − 4 x 3 y = 7 − 4 x 3

y = 12 − 2 x 3 y = 12 − 2 x 3

y = 18 − 3 x −2 y = 18 − 3 x −2

45 ° , 45 ° , 90 ° 45 ° , 45 ° , 90 °

30 ° , 60 ° , 90 ° 30 ° , 60 ° , 90 °

18 meters, 11 meters

13.5 13.5 m, 12.8 12.8 m

25 ft, 50 ft

12 ft, 13 ft, 14 ft

3 ft, 6 ft, 8 ft

120 yd, 160 yd

40 ft, 85 ft

104 ° F 104 ° F

ⓐ Answers will vary. ⓑ The areas are the same. The 2 × 8 2 × 8 rectangle has a larger perimeter than the 4 × 4 4 × 4 square. ⓒ Answers will vary.

Section 2.4 Exercises

nine nickels, 16 dimes

ten $10 bills, five $5 bills

63 dimes, 20 quarters

16 nickels, 12 dimes, seven quarters

330 day passes, 367 tournament passes

40 postcards, 100 stamps

15 $10 shares, five $12 shares

34 general, 61 youth

114 general, 246 student

Four pounds of macadamia nuts, eight pounds almonds

3.6 3.6 lbs Bermuda seed, 5.4 5.4 lbs Fescue seed

$33,000 in Fund A, $22,000 in Fund B

5.9 % 5.9 %

Kathy 5 mph, Cheryl 3 mph

commercial 550 mph, private plane 340 mph

Violet 65 mph, Charlie 55 mph

Ethan 22 mph, Leo 16 mph

DaMarcus 16 mph, Fabian 22 mph

uphill 1.6 1.6 mph, downhill 4.8 4.8 mph

light traffic 54 mph, heavy traffic 30 mph

freeway 67 mph, mountain road 22.3 mph

running eight mph, walking three mph

ⓐ 15 minutes ⓑ 20 minutes ⓒ one hour (d) 1:25

Section 2.5 Exercises

A maximum of 14 people can safely ride in the elevator.

five drinks

260 messages

62 necklaces

seven lawns

Section 2.6 Exercises

5 ≤ n ≤ 24 5 ≤ n ≤ 24

6 ≤ w ≤ 12 6 ≤ w ≤ 12

ⓐ answers vary ⓑ answers vary

Section 2.7 Exercises

ⓐ x = 4 , x = −4 x = 4 , x = −4 ⓑ no solution ⓒ z = 0 z = 0

ⓐ x = 3 , x = −3 x = 3 , x = −3 ⓑ no solution ⓒ z = 0 z = 0

x = 1 , x = − 1 2 x = 1 , x = − 1 2

x = −1 , x = − 5 2 x = −1 , x = − 5 2

x = 7 , x = 1 x = 7 , x = 1

x = 1 , x = −5 x = 1 , x = −5

no solution

x = −1 , x = − 2 3 x = −1 , x = − 2 3

x = −3 , x = 3 x = −3 , x = 3

x = 2 , x = 1 4 x = 2 , x = 1 4

x = 3 , x = 2 x = 3 , x = 2

x = 3 , x = − 11 3 x = 3 , x = − 11 3

x = 3 2 , x = − 1 2 x = 3 2 , x = − 1 2

The minimum to maximum expected production is 207,500 to 2,225,000 bottles

The acceptable weight is 22.5 to 25.5 ounces.

Review Exercises

s = −22 s = −22

m = −14 m = −14

q = 18 q = 18

k = 3 4 k = 3 4

k = 23 k = 23

x = 5 x = 5

There are 116 people.

−3 , −10 −3 , −10

$ 3.89 $ 3.89

ⓐ $105 ⓑ 52.5 % 52.5 %

d 2 = 2 A d 1 d 2 = 2 A d 1

y = 4 x 3 − 4 y = 4 x 3 − 4

22.5 ° , 67.5 ° , 90 ° 22.5 ° , 67.5 ° , 90 °

24.5 24.5 cm, 12.5 12.5 cm

9 ft, 14 ft, 12 ft

nine pennies, six dimes, 12 quarters

57 students, 68 general admission

2.2 2.2 lbs of raisins, 7.8 7.8 lbs of nuts

9.7 % 9.7 %

Louellen 65 mph, Tracy 66 mph

upstream 3 mph, downstream 5 mph

heavy traffic 32 mph, light traffic 68 mph

$33 per day

at least $300,000

at least 112 jobs

x = 2 , x = 2 3 x = 2 , x = 2 3

x = 9 , x = −3 x = 9 , x = −3

The minimum to maximum expected usage is 210,000 to 220,000 bottles

Practice Test

x = −5 x = −5

a = 41 a = 41

x = 6 x = 6

x = −2 , x = − 1 3 x = −2 , x = − 1 3

−57 , −55 −57 , −55

12 dimes, seven quarters

2.5 2.5 hours

At most $55.56 per costume.

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Access for free at https://openstax.org/books/intermediate-algebra-2e/pages/1-introduction

• Authors: Lynn Marecek, Andrea Honeycutt Mathis
• Publisher/website: OpenStax
• Book title: Intermediate Algebra 2e
• Publication date: May 6, 2020
• Location: Houston, Texas
• Book URL: https://openstax.org/books/intermediate-algebra-2e/pages/1-introduction
• Section URL: https://openstax.org/books/intermediate-algebra-2e/pages/chapter-2

© Jan 23, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.

Algebra 2 - Unit 5 Polynomial Functions - WITH VIDEOS & DETAILED ANSWER KEY

Also included in

Description

VIDEO LINKS ARE NOW INCLUDED FOR EACH LESSON!

DETAILED ANSWER KEY NOW INCLUDED!

GREAT FOR HONORS AND ACCELERATED STUDENTS!

UNIT 5 - POLYNOMIAL FUNCTIONS

• Solving Polynomial Equations
• Problem Solving with Polynomials
• Graphing Polynomial Functions - leading coefficient & end behavior test, multiple roots
• Algebraic Long Division - including 2 variables
• Synthetic Division, factor theorem, remainder theorem
• Finding all Zeros of Polynomial Functions - given one or 2 zeros only &7 sketching
• Polynomial Inequalities - 2nd, 3rd and 4th degree

Each lesson has notes/class examples and homework examples.  There is plenty of room for the student to show their work and write their answers in the space provided.

An answer key is included.

Download my FREE sample lessons: Algebra 2 - Unit 1 - Lesson 7 - Solving Absolute Value Equations & Inequalities Algebra 2 - Unit 10 - Lesson 1 - Introduction to Sequences I have been teaching high school math (mostly honors) in the private school system for over 20 years.  I have never found a text book that met the needs of my class.  I was always supplementing with worksheets and after some time, it became whole chapters.  I decided to finally write my own digital book for my honors and accelerated algebra 2 classes.  Hope you enjoy it! -Shira Strong Algebra 2 Curriculum : UNIT 1 - EQUATIONS & INEQUALITIES UNIT 2 - LINEAR EQUATIONS & GRAPHS UNIT 3 - RELATIONS & FUNCTIONS UNIT 4 - FACTORING UNIT UNIT 5 - POLYNOMIAL FUNCTIONS UNIT 6 - RATIONAL EXPRESSIONS

UNIT 7 - RADICAL EXPRESSIONS

UNIT 8 - QUADRATIC FUNCTIONS UNIT 9 - LOGARITHMIC FUNCTIONS UNIT 10 - SEQUENCES & SERIES UNIT 11 - LINEAR SYSTEMS & MATRICES

UNIT 12 - TRIANGLE TRIGONOMETRY UNIT 13 - PROBABILITY & STATISTICS (coming soon) Terms of Use: This product can only be used by the teacher who made the purchase. If multiple teachers want to use this, they must each purchase the correct number of licenses. You may use this product for personal use in your classroom. You may only upload it to password protected websites. You may NOT upload it to unprotected websites or resell as your own. TPT store credits  You can receive TPT store credits to use on your future purchases by leaving feedback on the products that you buy! Just click on "My Purchases" under "Buy“. STRONG MATH RESOURCES

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CPM Educational Program

• Core Connections Integrated I, 2013
• Core Connections Algebra 1, 2013

• Core Connections Geometry, 2013

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