High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 3.2, Problem 20PPSE
Solution

(a)

To find: System of equation to model the relationship between the number of multiple choice question m and the number of extended response questions r .

The system of equation is m+r=20 , 2m+6r=60 .

.

Given information:

Student took 60 minutes to answer the questions. Also there are combination of 20 multiple choice questions and the number of extended response. 2 minutes to answer multiple choice question and 6 minutes to answer extended response questions.

Concept used: Formation of algebraic equation

Calculation:

Let the number of multiple-choice questions be m and the number of extended response questions r . So m+r=20

There is a combination of 20 questions of both type of questions. If multiple choice questions are m then extended response questions are r=20m .

Now student took 2 minutes to answer multiple choice question, so time taken by multiple choice questions =2m

Similarly, student took 6 minutes to answer extended response question so time taken by extended response question 6r .

Total time given for student is 60 minutes.

  2m+6r=60

Hence the system of equation is

  m+r=20

  2m+6r=60 .

(b)

To find: How many of questions of each type of question in the test.

The number of multiple choice questions are 16 and the number of extended response questions are 4.

Given information:

The system of equation is m+r=20 , 2m+6r=60 .

Concept used: Substitution

Calculation:

  m+r=20...(1)2m+6r=60....(2)

Multiply equation (1) by 2 it becomes:

  2m+2r=20....(3)

Now subtract equation (2) from (3)

  

  2m2m+2r6r=206004r=404r=40r=4010r=4

Substitute the value of r in equation (1).

  m+4=20m=204m=16

The number of multiple choice questions are 16 and the number of extended response questions are 4.

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 11PPSECh. 3.1 - Prob. 12PPSECh. 3.1 - Prob. 13PPSECh. 3.1 - Prob. 14PPSECh. 3.1 - Prob. 15PPSECh. 3.1 - Prob. 16PPSECh. 3.1 - Prob. 17PPSECh. 3.1 - Prob. 18PPSECh. 3.1 - Prob. 19PPSECh. 3.1 - Prob. 20PPSECh. 3.1 - Prob. 21PPSECh. 3.1 - Prob. 22PPSECh. 3.1 - Prob. 23PPSECh. 3.1 - Prob. 24PPSECh. 3.1 - Prob. 25PPSECh. 3.1 - Prob. 26PPSECh. 3.1 - Prob. 27PPSECh. 3.1 - Prob. 28PPSECh. 3.1 - Prob. 29PPSECh. 3.1 - Prob. 30PPSECh. 3.1 - Prob. 31PPSECh. 3.1 - Prob. 32PPSECh. 3.1 - Prob. 33PPSECh. 3.1 - Prob. 34PPSECh. 3.1 - Prob. 35PPSECh. 3.1 - Prob. 36PPSECh. 3.1 - Prob. 37PPSECh. 3.1 - Prob. 38PPSECh. 3.1 - Prob. 39PPSECh. 3.1 - Prob. 40PPSECh. 3.1 - Prob. 41PPSECh. 3.1 - Prob. 42PPSECh. 3.1 - Prob. 43PPSECh. 3.1 - Prob. 44PPSECh. 3.1 - Prob. 45PPSECh. 3.1 - Prob. 46PPSECh. 3.1 - Prob. 47PPSECh. 3.1 - Prob. 48PPSECh. 3.1 - Prob. 49PPSECh. 3.1 - Prob. 50PPSECh. 3.1 - Prob. 51PPSECh. 3.1 - Prob. 52PPSECh. 3.1 - Prob. 53PPSECh. 3.1 - Prob. 54PPSECh. 3.1 - Prob. 55PPSECh. 3.1 - Prob. 56PPSECh. 3.2 - Prob. 1LCCh. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Prob. 4LCCh. 3.2 - Prob. 5LCCh. 3.2 - Prob. 6LCCh. 3.2 - Prob. 7LCCh. 3.2 - Prob. 8LCCh. 3.2 - Prob. 9LCCh. 3.2 - Prob. 10PPSECh. 3.2 - Prob. 11PPSECh. 3.2 - Prob. 12PPSECh. 3.2 - Prob. 13PPSECh. 3.2 - Prob. 14PPSECh. 3.2 - Prob. 15PPSECh. 3.2 - Prob. 16PPSECh. 3.2 - Prob. 17PPSECh. 3.2 - Prob. 18PPSECh. 3.2 - Prob. 19PPSECh. 3.2 - Prob. 20PPSECh. 3.2 - Prob. 21PPSECh. 3.2 - Prob. 22PPSECh. 3.2 - Prob. 23PPSECh. 3.2 - Prob. 24PPSECh. 3.2 - Prob. 25PPSECh. 3.2 - Prob. 26PPSECh. 3.2 - Prob. 27PPSECh. 3.2 - Prob. 28PPSECh. 3.2 - Prob. 29PPSECh. 3.2 - Prob. 30PPSECh. 3.2 - Prob. 31PPSECh. 3.2 - Prob. 32PPSECh. 3.2 - Prob. 33PPSECh. 3.2 - Prob. 34PPSECh. 3.2 - Prob. 35PPSECh. 3.2 - Prob. 36PPSECh. 3.2 - Prob. 37PPSECh. 3.2 - Prob. 38PPSECh. 3.2 - Prob. 39PPSECh. 3.2 - Prob. 40PPSECh. 3.2 - Prob. 41PPSECh. 3.2 - Prob. 42PPSECh. 3.2 - Prob. 43PPSECh. 3.2 - Prob. 44PPSECh. 3.2 - Prob. 45PPSECh. 3.2 - Prob. 46PPSECh. 3.2 - Prob. 47PPSECh. 3.2 - Prob. 48PPSECh. 3.2 - Prob. 49PPSECh. 3.2 - Prob. 50PPSECh. 3.2 - Prob. 51PPSECh. 3.2 - Prob. 52PPSECh. 3.2 - Prob. 53PPSECh. 3.2 - Prob. 54PPSECh. 3.2 - Prob. 55PPSECh. 3.2 - Prob. 56PPSECh. 3.2 - Prob. 57PPSECh. 3.2 - Prob. 58PPSECh. 3.2 - Prob. 59PPSECh. 3.2 - Prob. 60PPSECh. 3.2 - Prob. 61PPSECh. 3.2 - Prob. 62PPSECh. 3.2 - Prob. 63PPSECh. 3.2 - Prob. 64PPSECh. 3.2 - Prob. 65PPSECh. 3.2 - Prob. 66PPSECh. 3.2 - Prob. 67PPSECh. 3.2 - Prob. 68PPSECh. 3.2 - Prob. 69PPSECh. 3.2 - Prob. 70PPSECh. 3.2 - Prob. 71PPSECh. 3.3 - Prob. 1LCCh. 3.3 - Prob. 2LCCh. 3.3 - Prob. 3LCCh. 3.3 - Prob. 4LCCh. 3.3 - Prob. 5LCCh. 3.3 - Prob. 6LCCh. 3.3 - Prob. 7LCCh. 3.3 - Prob. 8PPSECh. 3.3 - Prob. 9PPSECh. 3.3 - Prob. 10PPSECh. 3.3 - Prob. 11PPSECh. 3.3 - Prob. 12PPSECh. 3.3 - Prob. 13PPSECh. 3.3 - Prob. 14PPSECh. 3.3 - Prob. 15PPSECh. 3.3 - Prob. 16PPSECh. 3.3 - Prob. 17PPSECh. 3.3 - Prob. 18PPSECh. 3.3 - Prob. 19PPSECh. 3.3 - Prob. 20PPSECh. 3.3 - Prob. 21PPSECh. 3.3 - Prob. 22PPSECh. 3.3 - Prob. 23PPSECh. 3.3 - Prob. 24PPSECh. 3.3 - Prob. 25PPSECh. 3.3 - Prob. 26PPSECh. 3.3 - Prob. 27PPSECh. 3.3 - Prob. 28PPSECh. 3.3 - Prob. 29PPSECh. 3.3 - Prob. 30PPSECh. 3.3 - Prob. 31PPSECh. 3.3 - Prob. 32PPSECh. 3.3 - Prob. 33PPSECh. 3.3 - Prob. 34PPSECh. 3.3 - Prob. 35PPSECh. 3.3 - Prob. 36PPSECh. 3.3 - Prob. 37PPSECh. 3.3 - Prob. 38PPSECh. 3.3 - Prob. 39PPSECh. 3.3 - Prob. 40PPSECh. 3.3 - Prob. 41PPSECh. 3.3 - Prob. 42PPSECh. 3.3 - Prob. 43PPSECh. 3.3 - Prob. 44PPSECh. 3.3 - Prob. 45PPSECh. 3.3 - Prob. 46PPSECh. 3.3 - Prob. 47PPSECh. 3.3 - Prob. 48PPSECh. 3.3 - Prob. 49PPSECh. 3.3 - Prob. 50PPSECh. 3.3 - Prob. 51PPSECh. 3.3 - Prob. 52PPSECh. 3.3 - Prob. 53PPSECh. 3.3 - Prob. 54PPSECh. 3.3 - Prob. 55PPSECh. 3.3 - Prob. 56PPSECh. 3.3 - Prob. 57PPSECh. 3.3 - Prob. 58PPSECh. 3.3 - Prob. 59PPSECh. 3.3 - Prob. 60PPSECh. 3.3 - Prob. 61PPSECh. 3.3 - Prob. 62PPSECh. 3.3 - Prob. 63PPSECh. 3.3 - Prob. 64PPSECh. 3.3 - Prob. 65PPSECh. 3.3 - Prob. 66PPSECh. 3.3 - Prob. 67PPSECh. 3.3 - Prob. 68PPSECh. 3.3 - Prob. 69PPSECh. 3.3 - Prob. 70PPSECh. 3.3 - Prob. 71PPSECh. 3.3 - Prob. 72PPSECh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9LCCh. 3.4 - Prob. 10PPSECh. 3.4 - Prob. 11PPSECh. 3.4 - Prob. 12PPSECh. 3.4 - Prob. 13PPSECh. 3.4 - Prob. 14PPSECh. 3.4 - Prob. 15PPSECh. 3.4 - Prob. 16PPSECh. 3.4 - Prob. 17PPSECh. 3.4 - Prob. 18PPSECh. 3.4 - Prob. 19PPSECh. 3.4 - Prob. 20PPSECh. 3.4 - Prob. 21PPSECh. 3.4 - Prob. 22PPSECh. 3.4 - Prob. 23PPSECh. 3.4 - Prob. 24PPSECh. 3.4 - Prob. 25PPSECh. 3.4 - Prob. 26PPSECh. 3.4 - Prob. 27PPSECh. 3.4 - Prob. 28PPSECh. 3.4 - Prob. 29PPSECh. 3.4 - Prob. 30PPSECh. 3.4 - Prob. 31PPSECh. 3.4 - Prob. 32PPSECh. 3.4 - Prob. 33PPSECh. 3.4 - Prob. 34PPSECh. 3.4 - Prob. 35PPSECh. 3.4 - Prob. 36PPSECh. 3.4 - Prob. 37PPSECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.5 - Prob. 1ACh. 3.5 - Prob. 2ACh. 3.5 - Prob. 3ACh. 3.5 - Prob. 4ACh. 3.5 - Prob. 5ACh. 3.5 - Prob. 6ACh. 3.5 - Prob. 7ACh. 3.5 - Prob. 8ACh. 3.5 - Prob. 9ACh. 3.5 - Prob. 10ACh. 3.5 - Prob. 11ACh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPSECh. 3.5 - Prob. 10PPSECh. 3.5 - Prob. 11PPSECh. 3.5 - Prob. 12PPSECh. 3.5 - Prob. 13PPSECh. 3.5 - Prob. 14PPSECh. 3.5 - Prob. 15PPSECh. 3.5 - Prob. 16PPSECh. 3.5 - Prob. 17PPSECh. 3.5 - Prob. 18PPSECh. 3.5 - Prob. 19PPSECh. 3.5 - Prob. 20PPSECh. 3.5 - Prob. 21PPSECh. 3.5 - Prob. 22PPSECh. 3.5 - Prob. 23PPSECh. 3.5 - Prob. 24PPSECh. 3.5 - Prob. 25PPSECh. 3.5 - Prob. 26PPSECh. 3.5 - Prob. 27PPSECh. 3.5 - Prob. 28PPSECh. 3.5 - Prob. 29PPSECh. 3.5 - Prob. 30PPSECh. 3.5 - Prob. 31PPSECh. 3.5 - Prob. 32PPSECh. 3.5 - Prob. 33PPSECh. 3.5 - Prob. 34PPSECh. 3.5 - Prob. 35PPSECh. 3.5 - Prob. 36PPSECh. 3.5 - Prob. 37PPSECh. 3.5 - Prob. 38PPSECh. 3.5 - Prob. 39PPSECh. 3.5 - Prob. 40PPSECh. 3.5 - Prob. 41PPSECh. 3.5 - Prob. 42PPSECh. 3.5 - Prob. 43PPSECh. 3.5 - Prob. 44PPSECh. 3.5 - Prob. 45PPSECh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8PPSECh. 3.6 - Prob. 9PPSECh. 3.6 - Prob. 10PPSECh. 3.6 - Prob. 11PPSECh. 3.6 - Prob. 12PPSECh. 3.6 - Prob. 13PPSECh. 3.6 - Prob. 14PPSECh. 3.6 - Prob. 15PPSECh. 3.6 - Prob. 16PPSECh. 3.6 - Prob. 17PPSECh. 3.6 - Prob. 18PPSECh. 3.6 - Prob. 19PPSECh. 3.6 - Prob. 20PPSECh. 3.6 - Prob. 21PPSECh. 3.6 - Prob. 22PPSECh. 3.6 - Prob. 23PPSECh. 3.6 - Prob. 24PPSECh. 3.6 - Prob. 25PPSECh. 3.6 - Prob. 26PPSECh. 3.6 - Prob. 27PPSECh. 3.6 - Prob. 28PPSECh. 3.6 - Prob. 29PPSECh. 3.6 - Prob. 30PPSECh. 3.6 - Prob. 31PPSECh. 3.6 - Prob. 32PPSECh. 3.6 - Prob. 33PPSECh. 3.6 - Prob. 34PPSECh. 3.6 - Prob. 35PPSECh. 3.6 - Prob. 36PPSECh. 3.6 - Prob. 37PPSECh. 3.6 - Prob. 38PPSECh. 3.6 - Prob. 39PPSECh. 3.6 - Prob. 40PPSECh. 3.6 - Prob. 41PPSECh. 3.6 - Prob. 42PPSECh. 3.6 - Prob. 43PPSECh. 3.6 - Prob. 44PPSECh. 3.6 - Prob. 45PPSECh. 3.6 - Prob. 46PPSECh. 3.6 - Prob. 47PPSECh. 3.6 - Prob. 48PPSECh. 3.6 - Prob. 49PPSECh. 3.6 - Prob. 50PPSECh. 3.6 - Prob. 51PPSECh. 3.6 - Prob. 52PPSECh. 3.6 - Prob. 53PPSECh. 3.6 - Prob. 54PPSECh. 3.6 - Prob. 55PPSECh. 3.6 - Prob. 56PPSECh. 3.6 - Prob. 57PPSECh. 3.6 - Prob. 58PPSECh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 1CVCh. 3 - Prob. 2CVCh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSR
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