Alg 3 Final Pre-Review Game

Multiple Choice

Solve using substitution.

• (1,3)

• (3,-1)

• (7,3)

Multiple Choice

Solve using elimination.

• (4,5)

• (3,4)

• (5,4)

Multiple Choice

Solve using the most efficient method.

• (2,1)

• (1,-2)

• (2,-1)

Multiple Choice

Solve using the most efficient method.

• (3,4)

• (4,12)

• (14,17)

Multiple Choice

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578 x + y = 3365

• 4x + 7y = 3365 x + y = 578

• 4y + 7x = 578 x + y = 3365

• 4y + 7x = 3365 x + y = 578

Multiple Choice

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. Write a system of equations to represent this situation.

• a + c = 21

  6a + 4c = 104

• a + c = 21

  4a + 6c = 104

• a + c = 104

  6a + 4c = 21

• a + c = 104

  4a + 6c = 21

Multiple Choice

Solve by any method.

• (-6, 3, -4)

• (-3, -2, -2)

• (-4, 4, 6)

• (-2, -2, -3)

Multiple Choice

Solve by any method.

• (5, 1, 6)

• (-5, 6, 6)

• (1, 5, 6)

• (1, 6, 5)

Multiple Choice

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Multiple Choice

Solve the system of equations: 

• ( 4, 2, -1)

• ( 4, 3, -1)

• None of these

• ( -4, 3, 1)

Multiple Choice

Write the equation as an augmented matrix.

Multiple Choice

Write the system of linear equations for the augmented matrix.

Multiple Choice

What step should be next to put into Row Echelon form?

• Divide R3 by -6

• Mult. R1 by 0

• Mult. R2 by -3 and add to R1

• Add R3 to R2

Multiple Choice

Jessica is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?

• No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1

• No, she wanted to change the 3 to a zero so she should have multiplied R2 and added it to R3

• Yes. When you need a zero you multiply by the number's reciprocal.

• No. Just punch in the calculator. Who cares about Carl Gauss

Multiple Choice

What is an appropriate first row command to solve this by Gaussian Elimination?

• 2R2 + R2 -> R2

• -2R1 + R2 -> R2

• R3 +R2 --> R3

• 2R1 + R2 --> R2

Multiple Choice

When solving using the Gauss-Jordan method, what would the next step be?

• Get 1 in the orange spot by multiplying row 1 by -2 and then adding row 1 and 2 together.

• Get 1 in the orange spot by multiplying row 2 by 1/3.

• Get 0 in the green spot by subtracting 1 from all the numbers.

• Get 0 in the green spot by multiplying by 2.

Multiple Choice

• (1,0,0,4)

• (0,1,0,6)

• (0,0,1,3)

• (4,6,3)

Multiple Choice

Find row echelon form and solve.

• (2,7,5)

• (-8,7,5)

• (-8,2,5)

• (-3,2,5)

Multiple Choice

Solve the system using matrices.

• A

• B

• C

• D

Multiple Choice

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Multiple Choice

• 1 banana, 4 oranges, 2 papayas

• 4 bananas, 2 oranges, 1 papaya

• 2 bananas, 4 oranges, 1 papaya

• 2 bananas, 1 orange, 4 papayas