lesson 13 homework 1.2 answer key

ⓐ yes ⓑ yes ⓒ no ⓓ yes ⓔ no

ⓐ no ⓑ yes ⓒ yes ⓓ no ⓔ no

2 · 2 · 2 · 2 · 5 2 · 2 · 2 · 2 · 5

2 · 2 · 3 · 5 2 · 2 · 3 · 5

ⓐ 9 ⓑ 64 ⓒ 40

ⓐ 216 ⓑ 64 ⓒ 185

10 x 2 + 16 x + 17 10 x 2 + 16 x + 17

12 y 2 + 9 y + 7 12 y 2 + 9 y + 7

ⓐ 14 x 2 − 13 14 x 2 − 13 ⓑ 12 x ÷ 2 12 x ÷ 2 ⓒ z + 13 z + 13 ⓓ 8 x − 18 8 x − 18

ⓐ 17 y 2 + 19 17 y 2 + 19 ⓑ 7 y 7 y ⓒ x + 11 x + 11 ⓓ 11 a − 14 11 a − 14

ⓐ 4 ( p + q ) 4 ( p + q ) ⓑ 4 p + q 4 p + q

ⓐ 2 x − 8 2 x − 8 ⓑ 2 ( x − 8 ) 2 ( x − 8 )

w − 7 w − 7

l − 6 l − 6

4 q − 8 4 q − 8

7 n + 3 7 n + 3

ⓐ = = ⓑ > > ⓒ < < ⓓ = =

ⓐ > > ⓑ = = ⓒ > > ⓓ < <

ⓐ −6 −6 ⓑ 2 ⓒ −2 −2

ⓐ −7 −7 ⓑ 3 ⓒ −3 −3

ⓐ 2 ⓑ −2 −2 ⓒ −10 −10 ⓓ 10

ⓐ 3 ⓑ −3 −3 ⓒ −11 −11 ⓓ 11

ⓐ 8 , 8 8 , 8 ⓑ −18 , −18 , −18 −18 ⓒ 19 , 19 19 , 19 ⓓ −4 , −4 , −4 −4

ⓐ 8 , 8 8 , 8 ⓑ −22 , −22 , −22 −22 ⓒ 23 , 23 23 , 23 ⓓ 3 , 3 3 , 3

ⓐ 23 ⓑ 60 ⓒ −63 −63 ⓓ −9 −9

ⓐ 39 ⓑ 39 ⓒ −28 ⓓ −7

ⓐ 81 ⓑ −81 −81

ⓐ 49 ⓑ −49 −49

( 9 + ( −16 ) ) + 4 ; − 3 ( 9 + ( −16 ) ) + 4 ; − 3

( −8 + ( −12 ) ) + 7 ; − 13 ( −8 + ( −12 ) ) + 7 ; − 13

The difference in temperatures was 45 degrees.

The difference in temperatures was 9 degrees.

− 23 40 − 23 40

− 5 8 − 5 8

−33 a −33 a

−26 b −26 b

3 4 b 3 4 b

79 60 79 60

103 60 103 60

ⓐ 27 a − 32 36 27 a − 32 36 ⓑ 2 a 3 2 a 3

ⓐ 24 k − 5 30 24 k − 5 30 ⓑ 2 k 15 2 k 15

− 1 2 − 1 2

ⓐ 6.58 6.58 ⓑ 6.6 6.6 ⓒ 7

ⓐ 15.218 15.218 ⓑ 15.22 15.22 ⓒ 15.2 15.2

ⓐ −16.49 −16.49 ⓑ −0.42 −0.42

ⓐ −23.593 −23.593 ⓑ −12.58 −12.58

−27.4815 −27.4815

−87.6148 −87.6148

ⓐ 25.8 ⓑ 258 ⓒ 2,580

ⓐ 142 ⓑ 1,420 ⓒ 14,200

587.3 587.3

34.25 34.25

ⓐ 117 500 117 500 ⓑ −0.875 −0.875

ⓐ 3 125 3 125 ⓑ −0.375 −0.375

ⓐ 0.09, 0.87, 0.039 ⓑ 17%, 175%, 8.25%

ⓐ 0.03, 0.91, 0.083 ⓑ 41%, 225%, 9.25%

ⓐ 6 ⓑ 13 ⓒ −15 −15

ⓐ 4 ⓑ 14 ⓒ −10 −10

ⓐ 4 , 49 4 , 49 ⓑ −3 , 4 , 49 −3 , 4 , 49 ⓒ −3 , 0. 3 – , 9 5 , 4 , 49 −3 , 0. 3 – , 9 5 , 4 , 49 ⓓ − 2 − 2 ⓔ −3 , − 2 , 0. 3 – , 9 5 , 4 , 49 −3 , − 2 , 0. 3 – , 9 5 , 4 , 49

ⓐ 6 , 121 6 , 121 ⓑ − 25 , −1 , 6 , 121 − 25 , −1 , 6 , 121 ⓒ − 25 , − 3 8 , −1 , 6 , 121 − 25 , − 3 8 , −1 , 6 , 121 ⓓ 2.041975.. . 2.041975.. . ⓔ − 25 , − 3 8 , −1 , 6 , 121 , 2.041975.. . − 25 , − 3 8 , −1 , 6 , 121 , 2.041975.. .

32 r + 29 s 32 r + 29 s

41 m + 6 n 41 m + 6 n

1 7 15 1 7 15

1 2 9 1 2 9

−48 a −48 a

−92 x −92 x

11 25 11 25

ⓐ 0 ⓑ undefined

4 x + 8 4 x + 8

6 x + 42 6 x + 42

5 y + 3 5 y + 3

4 n + 9 4 n + 9

70 + 15 p 70 + 15 p

4 + 35 d 4 + 35 d

−10 + 15 a −10 + 15 a

−56 + 105 y −56 + 105 y

− z + 11 − z + 11

− x + 4 − x + 4

3 − 3 x 3 − 3 x

2 x − 20 2 x − 20

5 x − 66 5 x − 66

7 x − 13 7 x − 13

Section 1.1 Exercises

Divisible by 2, 3, 6

Divisible by 2

Divisible by 3, 5

2 · 43 2 · 43

5 · 7 · 13 5 · 7 · 13

2 · 2 · 2 · 2 · 3 · 3 · 3 2 · 2 · 2 · 2 · 3 · 3 · 3

ⓐ 64 ⓑ 16 ⓒ 7

10 x + 6 10 x + 6

22 a + 1 22 a + 1

17 x 2 + 20 x + 16 17 x 2 + 20 x + 16

ⓐ 5 x 2 − 6 x y 5 x 2 − 6 x y ⓑ 6 y 2 5 x 6 y 2 5 x ⓒ y 2 + 21 y 2 + 21 ⓓ 81 x 2 − 6 x 81 x 2 − 6 x

ⓐ 4 a b 2 + 3 a 2 b 4 a b 2 + 3 a 2 b ⓑ 20 x y 2 20 x y 2 ⓒ m + 15 m + 15 ⓓ 121 x 2 − 9 x 121 x 2 − 9 x

ⓐ 8 ( y − 9 ) 8 ( y − 9 ) ⓑ 8 y − 9 8 y − 9

ⓐ 5 ( 3 x + y ) 5 ( 3 x + y ) ⓑ 15 x + y 15 x + y

2 c + 14 2 c + 14

3 n − 7 3 n − 7

Answers will vary.

Section 1.2 Exercises

ⓐ > > ⓑ > > ⓒ > > ⓓ > >

ⓐ = = ⓑ = = ⓒ > > ⓓ = =

ⓐ −11 −11 ⓑ −3 −3 ⓒ 3 3

ⓐ 6 ⓑ −6 −6 ⓒ −20 −20 ⓓ 20 20

ⓐ −32 −32 ⓑ −65 −65 ⓒ −4 −4 ⓓ 13 13

ⓐ −4 −4 ⓑ −12 −12 ⓒ −39 −39 ⓓ 14 14

ⓐ 64 64 ⓑ −64 −64

ⓐ −47 −47 ⓑ 16 16

( 3 + ( −15 ) ) + 7 ; − 5 ( 3 + ( −15 ) ) + 7 ; − 5

ⓐ 10 − ( −18 ) ; 28 10 − ( −18 ) ; 28 ⓑ −25 − 11 ; − 36 −25 − 11 ; − 36

−6 a + b −6 a + b

− $ 28 − $ 28

Section 1.3 Exercises

− 12 7 − 12 7

10 21 10 21

2 x 2 3 y 2 x 2 3 y

− 21 a 2 11 b 2 − 21 a 2 11 b 2

− 21 50 − 21 50

11 30 11 30

33 4 x 33 4 x

− 4 9 − 4 9

10 u 9 v 10 u 9 v

− 1 16 − 1 16

− 10 9 − 10 9

− 2 5 − 2 5

2 m 3 n 2 m 3 n

29 24 29 24

17 105 17 105

− 53 40 − 53 40

4 x + 3 12 4 x + 3 12

ⓐ 5 6 5 6 ⓑ 4 4

ⓐ 25 n 16 25 n 16 ⓑ 25 n − 16 30 25 n − 16 30

ⓐ −8 x − 15 18 −8 x − 15 18 ⓑ − 10 k 27 − 10 k 27

ⓐ −5 ( a + 1 ) 3 −5 ( a + 1 ) 3 ⓑ a a

49 25 49 25

−28 − 15 y 60 −28 − 15 y 60

33 64 33 64

23 24 23 24

ⓐ 1 5 1 5 ⓑ 6 5 6 5

− 1 9 − 1 9

− 5 11 − 5 11

Section 1.4 Exercises

ⓐ 5.78 ⓑ 5.8 ⓒ 6

ⓐ 0.30 ⓑ 0.3 ⓒ 0

ⓐ 63.48 ⓑ 63.5 ⓒ 63

−40.91 −40.91

−7.22 −7.22

−27.5 −27.5

102.212 102.212

51.31 51.31

−4.89 −4.89

−1200.47982 −1200.47982

337.8914 337.8914

1.305 1.305

$ 2.44 $ 2.44

19 200 19 200

−12.4 −12.4

0.393 0.393

156 % 156 %

6.25 % 6.25 %

ⓐ 0 , 36 , 9 0 , 36 , 9 ⓑ −8 , 0 , 36 , 9 −8 , 0 , 36 , 9 ⓒ −8 , 0 , 12 5 , 36 , 9 −8 , 0 , 12 5 , 36 , 9 ⓓ 1.95286... , 1.95286... , ⓔ −8 , 0 , 1.95286... , 12 5 , 36 , 9 −8 , 0 , 1.95286... , 12 5 , 36 , 9

ⓐ none ⓑ − 100 , −7 , −1 − 100 , −7 , −1 ⓒ − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4 − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4 ⓓ none ⓔ − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4 − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4

Section 1.5 Exercises

27 m + ( −21 n ) 27 m + ( −21 n )

5 4 g + 1 2 h 5 4 g + 1 2 h

2.43 p + 8.26 q 2.43 p + 8.26 q

1 5 6 1 5 6

14.88 14.88

49 11 49 11

32 y + 72 32 y + 72

6 c − 78 6 c − 78

3 4 q + 3 3 4 q + 3

5 y − 3 5 y − 3

3 + 8 r 3 + 8 r

36 d + 90 36 d + 90

r s − 18 r r s − 18 r

y p + 4 p y p + 4 p

−28 p − 7 −28 p − 7

−3 x + 18 −3 x + 18

−3 x + 7 −3 x + 7

−3 y − 8 −3 y − 8

−33 c + 26 −33 c + 26

− a + 19 − a + 19

4 m − 10 4 m − 10

72 x − 25 72 x − 25

22 n + 9 22 n + 9

6 c + 34 6 c + 34

12 y + 63 12 y + 63

Review Exercises

Divisible by 2 , 3 , 5 , 6 , 10 2 , 3 , 5 , 6 , 10

6 x 2 − x + 5 6 x 2 − x + 5

ⓐ 11 ( y − 2 ) 11 ( y − 2 ) ⓑ 11 y − 2 11 y − 2

ⓐ 8 ⓑ −8 −8 ⓒ −22 −22 ⓓ 22

ⓐ −3 −3 ⓑ −15 −15 ⓒ −56 −56 ⓓ 17

( −4 + ( −9 ) ) + 23 ; 10 ( −4 + ( −9 ) ) + 23 ; 10

− 15 x 3 11 y 2 − 15 x 3 11 y 2

8 x 15 y 8 x 15 y

31 36 31 36

ⓐ 11 8 11 8 ⓑ 5 6 5 6

− 1 6 − 1 6

− 1 5 − 1 5

96.978 96.978

− 48 5 − 48 5

1. 27 ¯ 1. 27 ¯

4.75 % 4.75 %

no real number

3 4 x + y 3 4 x + y

1 11 15 1 11 15

8 b + 10 8 b + 10

x p − 5 p x p − 5 p

−6 x − 6 −6 x − 6

6 y + 16 6 y + 16

Practice Test

7 n + 7 7 n + 7

−8 − 11 ; − 19 −8 − 11 ; − 19

( −8 − ( −3 ) ) + 5 ; 0 ( −8 − ( −3 ) ) + 5 ; 0

ⓐ 28.15 28.15 ⓑ 28.146 28.146

15 17 15 17

− 5 3 − 5 3

− 7 6 − 7 6

−65.4 −65.4

1 8 13 1 8 13

13 y − 3 13 y − 3

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• Authors: Lynn Marecek, Andrea Honeycutt Mathis
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• 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
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How to Use a Math Medic Answer Key

Written by Luke Wilcox published 3 years ago

Answer key might be the wrong term here. Sure, the Math Medic answer keys do provide the correct answers to the questions for a lesson, but they have been carefully designed to do much more than this. They are meant to be the official guide to teaching the lesson, providing specific instructions for what to do and say to make a successful learning experience for your students.

Before we look at the details of the answer key, let's make sure we understand the instructional model first.

Experience First, Formalize Later (EFFL)

A typical Math Medic lesson always has the same four parts: Activity, Debrief Activity, QuickNotes, and Check Your Understanding. Here are the cliff notes:

Activity: Students are in groups of 2 - 4 working collaboratively through the questions in the Activity. The teacher is checking in with groups and using questions, prompts, and cues to get students to refine their communication and understanding. As groups finish the activity, the teacher asks students to go to the whiteboard to write up their answers to the questions.

Debrief Activity: In the whole group setting, the teacher leads a discussion about the student responses to the questions in the activity, often asking students to explain their thinking and reasoning about their answers. The teacher then formalizes the learning by highlighting key concepts and introducing new vocabulary, notation, and formulas.

QuickNotes: The teacher uses direct instruction to summarize the learning from the activity in the QuickNotes box - making direct connections to the learning targets for the lesson.

Check Your Understanding: Students are then asked to apply their learning from the lesson to a new context in the Check Your Understanding (CYU) problem. This can be done individually or in small groups. The CYU is very flexible in it's use, as it can be used as an exit ticket, a homework problem, or a quick review the next day.

How Do I See EFFL in the Answer Key?

You will see EFFL in the answer key like this:

Anything written in blue is something we expect our students to produce. This might not be quite what we expect by the end of the lesson, but provides us with a starting point when we move to formalization.

Anything written in red is an idea added by the teacher - the formalization of the learning that happened during the Activity. Students are expected to add these "notes" to their Activity using a red pen or marker.

What Do Students Write Down For Notes?

By the end of the lesson, students will have written down everything you see on the Math Medic Answer Keys. The most important transition is when students finish the Activity and we move to Debrief Activity. "Students, now is the time for you to put down your pencils and get out your your red Paper Mate flair pens" We give each student a Paper Mate flair pen at the beginning of the school year and tell them they must cherish and protect it with their life. They all think we should be sponsored by Paper Mate (anyone have any leads on this?)

The lessons you see on Math Medic are all of the notes we use with our students. We do not have some secret collection of guided notes.

Do Students Have Access to Answer Keys?

Yes! Any student can create a free Math Medic account to get access to the answer keys. We often send students to the website when they are absent from a lesson or when we don't quite finish the lesson in class. We are comfortable with students having access to these answer keys because we do not think Math Medic lessons should be used as a summative assessment or be used for a grade (unless it's for completion). Our lessons are meant to be the first steps in the formative process of learning new concepts.

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Eureka Math Grade 8 Module 3 Lesson 13 Answer Key

Engage ny eureka math 8th grade module 3 lesson 13 answer key, eureka math grade 8 module 3 lesson 13 exercise answer key.

Exercises Use the Pythagorean theorem to determine the unknown length of the right triangle.

Exercise 1. Determine the length of side c in each of the triangles below.

15 2 +|TS| 2 =25 2 225+|TS| 2 =625 225-225+|TS| 2 =625-225 |TS| 2 =400 |TS|=20 Since |QT|+|TS|=|QS|, then the length of side \(\overline{Q S}\) is 8+20, which is 28.

Eureka Math Grade 8 Module 3 Lesson 13 Exit Ticket Answer Key

Then, determine the length of side \(\overline{C D}\). 12 2 +CD 2 =13 2 144+CD 2 =169 CD 2 =169-144 CD 2 =25 CD=5 Adding the lengths of sides \(\overline{B C}\) and \(\overline{C D}\) determines the length of side \(\overline{B D}\); therefore, 5+9=14. \(\overline{B D}\) has a length of 14.

Eureka Math Grade 8 Module 3 Lesson 13 Problem Set Answer Key

Students practice using the Pythagorean theorem to find unknown lengths of right triangles.

Use the Pythagorean theorem to determine the unknown length of the right triangle.

Question 5. What did you notice in each of the pairs of Problems 1–4? How might what you noticed be helpful in solving problems like these? Answer: In each pair of problems, the problems and solutions were similar. For example, in Problem 1, part (a) showed the sides of the triangle were 6, 8, and 10, and in part (b), they were 0.6, 0.8, and 1. The side lengths in part (b) were a tenth of the value of the lengths in part (a). The same could be said about parts (a) and (b) of Problems 2–4. This might be helpful for solving problems in the future. If I am given side lengths that are decimals, then I could multiply them by a factor of 10 to make whole numbers, which are easier to work with. Also, if I know common numbers that satisfy the Pythagorean theorem, like side lengths of 3, 4, and 5, then I recognize them more easily in their decimal forms, that is, 0.3, 0.4, and 0.5.

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