This document contains a 4-question math quiz on solving systems of equations using Cramer's Rule and matrix inverse methods. Each question involves rewriting a system of 2-3 equations as a matrix equation, then solving for the variables x, y, and z using specific techniques. Students are instructed to show their work and circle final answers.

1. Math 4R Quiz11C Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(1) NO CALCULATOR:
2x – 3y = –1
10x + 10y = 5
(1a) Rewrite this System of Equations as a Matrix Equation: AX = B.
(1b) Find x using Cramer’s Rule.
(1c) Find y using Cramer’s Rule.
(1d) Check your answers via substitution.
a:QUIZ11C.4Rq

2. Math 4R Quiz11C Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(2) NO CALCULATOR:
2x – 3y = –1
10x + 10y = 5
(2a) Rewrite this System of Equations as a Matrix Equation: AX = B.
(2b) Rewrite your Matrix Equation: X = A-1B.
(2c) Calculate the X vector.
(2d) Does your answer check?
a:QUIZ11C.4Rq

3. Math 4R Quiz11C Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(3) CALCULATOR ACTIVE
x – y + z = –4
2x – 3y + 4z = –15
5x + y –2z = 12
(3a) Rewrite this System of Equations as a Matrix Equation: AX = B.
(3b) Find x using Cramer’s Rule.
(3c) Find y using Cramer’s Rule.
(3d) Find z using Cramer’s Rule.
a:QUIZ11C.4Rq

4. Math 4R Quiz11C Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(4) CALCULATOR ACTIVE
x – y + z = –4
2x – 3y + 4z = –15
5x + y –2z = 12
(4a) Rewrite this System of Equations as a Matrix Equation: AX = B.
(4b) Rewrite your Matrix Equation: X = A-1B.
(4c) Calculate the X vector.
(4d) Does your answer check?
a:QUIZ11C.4Rq