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Solving Systems of Equations Using Augmented Matrices

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Solving Systems of Equations Using Augmented Matrices
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve, if possible.

4x - 2y = 2

5x - 2y + z = 7

3x + 4y - z = 3

x = 1, y = 1, z = 4

No solution

Infinitely many solutions

x = -3, y = -1, z = -1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve, if possible.

x - y + 2z = -1

-3x + 3y + 5z = 3

2x - 2y = -2

x = 1, y = 1, z = 4

No solution

Infinitely many solutions

x = -1, y = -1, z = 4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2x + 5y + z = -12

-x + 4y + 3z = -4

5x - 2z = -13

x = 3, y = 1, z = 1

No solution

Infinitely many solutions

x = -3, y = -1, z = -1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve, if possible:

3x + 2y - 3z = 13

4z + 4x = 12

-2x - y + z = 8

x = 3, y = 1, z = 1

No solution

Infinitely many solutions

x = -3, y = -1, z = -1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the system of equations using a matrix technique and your GC

( 4, 0, -2)

( -4, -2, 0)

None of these

( -4, 0, -2)

Tags

CCSS.HSA.REI.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by matrices.

4x+9y=28

-4x-y=-28

(-7,0)

(6,0)

(-6,0)

(7,0)

Tags

CCSS.HSA.REI.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

State the dimensions of the augmented matrix for the system.

2 x 3

3 x 2

3 x 4

4 x 3

Tags

CCSS.HSA.REI.C.8

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