Quiz about Solve Linear Systems Using Matrices

Question 1

Solve the System of Equations using Augmented Matrices.

-3x +3y = 27

x + 2y = 3

Accepted Answer

(-5,4)

Answer

(5,-4)

Answer

(5,4)

Answer

(-5,-4)

Question 2

Solve by matrices.

7x+y=-9

-3x-y=5

Accepted Answer

(-1,-2)

Answer

No solution

Answer

(1,8)

Answer

(-2,-3)

Question 3

Which ordered pair is the solution of the following system of equations? -x + y = -13 -8x - 4y = -8

Accepted Answer

(5, -8)

Answer

(5, 8)

Answer

(-5, -18)

Answer

(-5, 8)

Question 4

On your paper, show the setup for solving the system using Cramer's Rule. Answers are written in the following form (x,y)
$$4x+6y=3$$
$$8x-3y=1$$

Accepted Answer

$$\left(\frac{1}{4},\frac{1}{3}\right)$$

Answer

$$\left(-\frac{1}{3},\frac{1}{4}\right)$$

Answer

$$\left(\frac{1}{3},\frac{1}{4}\right)$$

Answer

$$\left(\frac{1}{4},-\frac{1}{3}\right)$$

Question 5

Find the solution of the system given:

3x - y = 7

2x + y = 3

Accepted Answer

(2,-1)

Answer

(-1,2)

Answer

(5,4)

Answer

(4,5)

Question 6

Matrices are used to solve __________ systems of equations

Accepted Answer

linear

Answer

quadratic

Question 7

What is A^-1?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 8

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system using matrices: x + y = 21 6x + 4y = 104

Accepted Answer

(10, 11)

Answer

(12, 9)

Answer

(11, 10)

Answer

(9, 12)

Question 9

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Using matrices, what would be your solution as to how many nachos and soda he sold?

Accepted Answer

(35, 52)

Answer

(18, 69)

Answer

( 52, 35)

Answer

(61, 26)

Solve Linear Systems Using Matrices

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