Chapter 3, Quiz 3 Practice: Sections 3.4 - 3.7, pt. 1!
Authored by Shannon Alt
Mathematics
11th - 12th Grade
CCSS covered
Used 9+ times
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This quiz comprehensively covers advanced systems of linear equations and matrix operations, representing core Algebra 2 and Pre-Calculus concepts typically taught in grades 11-12. The content focuses on solving three-variable linear systems using substitution and elimination methods, understanding matrix dimensions and operations, performing matrix multiplication with attention to dimensional compatibility, and calculating determinants for both 2×2 and 3×3 matrices. Students need a solid foundation in multi-step algebraic manipulation, the ability to organize and track multiple variables simultaneously, understanding of matrix notation and structure, and knowledge of determinant formulas and their geometric applications. The quiz also includes real-world application problems that require students to translate word problems into mathematical systems and interpret matrix multiplication in practical contexts, such as finding triangle areas using determinant methods. Created by Shannon Alt, a Mathematics teacher in US who teaches grade 11-12. This quiz serves as an excellent formative assessment tool for students working through a comprehensive unit on systems of equations and matrix algebra. Teachers can use this as a chapter review to gauge student understanding before a summative assessment, assign it as homework to reinforce classroom learning, or implement it as a warm-up activity to activate prior knowledge before advancing to more complex matrix topics. The quiz effectively supports differentiated instruction by progressing from verification problems to computational challenges and culminating in application-based questions that connect mathematical concepts to real-world scenarios. This assessment aligns with Common Core State Standards A-REI.8 and A-REI.9 for solving systems of equations, as well as supporting mathematical practices that emphasize problem-solving and mathematical modeling through matrix operations.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.4: Confirm whether or not the ordered triple (2, -1, 4) is a solution for the three-variable system provided:
No, it is not a solution because it does not work with the first equation.
No, it is not a solution because it does not work with the second equation.
No, it is not a solution because ti does not work with the third equation.
Yes, it is a solution for the system.
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.4: Solve the system of equations provided for the unknown variables using substitution:
(1.5, -2, 4)
(1, 2, 4)
(-1.5, 0, 4)
(4, -2, 1.75)
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.4: Solve the system of equations provided using elimination:
(3, 2, 7)
(8, 1, 3)
(-3, 2, 5)
(-3, 8, 7)
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.4: Solve the system of equations provided using elimination. Report answers in the form (a, b, c):
(5, 10, 16)
(1, 3, 5)
(-5, 1, 3)
(-5, 9, 3)
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.4: Set up a system of three-variables and solve for the unknown quantities!
Roy = 18 mi, Sally = 36 mi; Jeff = 46 mi
Roy = 8 mi, Sally = 16 mi, Jeff = 26 mi
Roy = 7 mi, Sally = 17 mi, Jeff = 24 mi
Roy = 6 mi, Sally = 27 mi, Jeff = 16 mi
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.5: What are the dimensions of the matrix provided?
4 x 2
3 x 4
4 x 3
This matrix is dimensionless.
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Section 3.5: Perform the matrix operation presented:
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