Deck 11: Systems of Equations

Question 1

Evaluate A by expanding it along the second row.

A)
B)
C)
D)
E)

Answer 1

Question 2

Find all solutions of the system.

A)
B)
C)
D)
E)

Answer 2

Question 3

Find all solutions of the system.

A)
B)
C)
D)
E)

Answer 3

Question 4

Use a graphing utility to compute the matrix product.

A)
B)
C)
D)
E)

Question 5

Use a graphing utility to compute the matrix product.

A)
B)
C)
D)
E)

Question 6

Is a solution of the following system?

Question 7

Find all solutions of the system.

A)
B)
C)
D)
E)

Question 8

Find all solutions of the system.

A)
B)
C)
D)
E)

Question 9

Use the substitution method to find all solutions of the system.

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B)
C)
D)
E)

Question 10

The matrices A and B are defined as follows: A = , B = Carry out the indicated matrix operation.

A)
B)
C)
D)
E)

Question 11

The matrices A and B are defined as follows: A = , B = Carry out the indicated matrix operation.
A + B

A)
B)
C)
D)
E)

Question 12

Use matrices to solve the system.

A)
B)
C)
D)
E)

Question 13

Which of the following are linear equations in two variables?

A)
B)
C)
D)
E)

Question 14

Find all solutions of the system.

A)
B)
C)
D)
E)

Question 15

Find all solutions of the system.

A)
B)
C)
D)
E)

Question 16

Solve the system using a graphing utility.

A)
B)
C)
D)
E)

Question 17

Evaluate the determinant.

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B)
C)
D)
E)

Question 18

Find the inverse, if it exists.

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B)
C)
D)
E)

Question 19

Assume that the supply and demand functions for a commodity are as follows: Supply: q = 200p; Demand: q = 4,200 - 400p.
Find the equilibrium price and the corresponding equilibrium quantity.

A) The equilibrium price is $8 when equilibrium quantity is 1,400 items.
B) The equilibrium price is $7 when equilibrium quantity is 1,300 items.
C) The equilibrium price is $7 when equilibrium quantity is 1,400 items.
D) The equilibrium price is $7 when equilibrium quantity is 1,600 items.
E) The equilibrium price is $6 when equilibrium quantity is 2,400 items.

Question 20

A student in a chemistry laboratory has access to two acid solutions. The first solution is acid and the second is acid. (The percentages are by volume.) How many cubic centimeters of each should she mix together to obtain of a acid solution?

A)
B)
C)
D)
E)

Question 21

Use Cramer's rule along with a graphing utility to solve the system.

A)
B)
C)
D)
E)

Question 22

Graph the inequality.

A)
B)
C)
D)
E)

Question 23

Use Cramer's rule to solve the system.

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B)
C)
D)
E)

Question 24

Graph the inequality.

A)
B)
C)
D)
E)

Question 25

Use a graphing utility to find all solutions to the nearest one tenth.

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B)
C)
D)
E)