(a)
To find: System of equation to model the relationship between the number of multiple choice question
The system of equation is
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
There is a combination of 20 questions of both type of questions. If multiple choice questions are m then extended response questions are
Now student took 2 minutes to answer multiple choice question, so time taken by multiple choice questions
Similarly, student took 6 minutes to answer extended response question so time taken by extended response question
Total time given for student is 60 minutes.
Hence the system of equation is
(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
Concept used: Substitution
Calculation:
Multiply equation (1) by 2 it becomes:
Now subtract equation (2) from (3)
Substitute the value of
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
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education