Final Exam Algebra 2

Which of the following expressions is in standard form for complex numbers?

• 8 - 4i

• √-5

• x = ±√2, ±2√2

• x = ±2

• x = ±1, ±4

• x = ±2, ±8

• all real numbers

• all real numbers except 2

• all real numbers except -12 and -2

• all real numbers except 12 and 2

Let x and y be inversely related. If y = 3 when x = 4, find y when x = 1.

• y = 0

• y = 6

• y = 10

• y = 12

Which of the following systems results from the elementary row operation (ERO) performed on the given system?

• 2x + 3y - 7z = 5

  x + 2y - 9z = -6

  4x - 10y + 15z = 7

• 2x + 3y - 7z = 5

  3x + 4y - 9z = 16

  4x - 10y + 15z = 7

• x + y - 2z = 11

  2x + 3y - 7z = 5

  4x - 10y + 15z = 7

• 2x + 3y - 7z = 5

  2x + 4y - 14z = 10

  4x - 10y + 15z = 7

Read the information below and identify the objective function.

Mr. Edwards is selling 50 baseball cards and 20 football cards. However, he only has enough space to display 55 cards. The expected profit of each baseball card is 10, while the expected profit of each football card is

Use x to represent baseball cards and y to represent football cards.

• P = 10x + 8y

• P = 8x + 10y

• P = 55x + 55y

• P = 50x + 20y

If a 3 × 4 matrix and a 4 × 2 matrix were multiplied, what would be the dimensions of the resulting matrix?

• 4 × 4

• 3 × 4

• 3 × 2

• 4 × 2

What is the determinant of the matrix [1 5; 3 -1]?

• 8

• 10

• -14

• -16

Match each inequality or interval with its graph.

|x - 4| < 5

• A

• B

• C

• D

• E