This document contains a math quiz with 5 problems involving systems of equations. The first 3 problems require solving a system of equations using algebraic elimination, graphing, and matrices respectively. The 4th problem involves another system of equations solved using matrices. The bonus 5th problem poses a word problem as a system of equations to be solved using matrices. Students are instructed to show all work and circle final answers.

1. Math 4R Quiz11A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(1) Solve the given System of Equations Algebraically:
4x + y = 0
6x – 8y = -19
Use the Elimination Method.
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2. Math 4R Quiz11A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(2) Solve the given System of Equations Graphically:
4x + y = 0
6x – 8y = -19
(2a) Rewrite each equation in y = mx + b form.
(2b) Graph both equations on the same set of axes.
(2c) Label the Point of Intersection.
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3. Math 4R Quiz11A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(3) Solve the given System of Equations using Matrices:
4x + y = 0
6x – 8y = -19
(3a) Rewrite the system of equations as an Augmented Matrix.
(3b) Diagonalize this matrix.
(3c) State the answers as equations.
a:QUIZ11A.4Rq

4. Math 4R Quiz11A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(4) Solve the given System of Equations using Matrices:
x–y=6
2x – 3z = 16
2y + z = 4
(4a) Rewrite the system of equations as an Augmented Matrix.
(4b) Diagonalize this matrix.
(4c) State the answers as equations.
a:QUIZ11A.4Rq

5. Math 4R Quiz11A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(BONUS) A regular movie ticket costs $8. A discounted movie ticket
for senior citizens and children costs $6. At one movie showing, the
theater sold 525 tickets and collected $3580. How many tickets of
each type were sold?
(5a) Define variables for each unknown quantity.
(5b) Rewrite this word problem, using your variables,
as a System of Equations.
(5c) Rewrite the system of equations as an Augmented Matrix.
(5d) Diagonalize this matrix.
(5e) State the answers as equations.
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