Unit 3B Review

Last updated almost 3 years ago

48 questions

Library

Unit 3B Review

Last updated almost 3 years ago

48 questions

1

Add: (7 - 2i) + (-5 + 11i). Write your answer in the form a + bi or a - bi.

1

Subtract: (7 - 2i) - (-5 + 11i). Write your answer in the form a + bi or a - bi.

1

Subtract: (8 + i) - (7 - 2i). Write your answer in the form a + bi or a - bi.

1

Multiply: (7 - 2i)(-5 + 11i). Write your answer in the form a + bi or a - bi.

1

Multiply: (7 - 2i)(8 + i). Write your answer in the form a + bi or a - bi.

1

Multiply: (-5 + 11i)(-5 - 11i). Write your answer in the form a + bi or a - bi.

1

Evaluate: 5i14

1

Evaluate: i73

1

Evaluate: (-2i)11

1

What is one solution to the equation 7x2 + 63 = 0?

1

What is the other solution to the equation 7x2 + 63 = 0?

1

What are solutions to the equation x2 +14x + 65 = 0? (Use +/- notation.)

1

What is x4 - 27x2 + 50 in factored form? (Remember to factor completely.)

1

What is one solution to the equation x4 - 27x2 + 50 = 0?

1

What is another solution to the equation x4 - 27x2 + 50 = 0?

1

What is a third solution to the equation x4 - 27x2 + 50 = 0?

1

What is the fourth solution to the equation x4 - 27x2 + 50 = 0?

1

What is one factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

1

What is another factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

1

What is the third factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

1

What is one solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

1

What is another solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

1

What is a third solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

1

What is the last solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

1

Write an equation in factored form with the solutions

1

Match each expression with the graph that could match it based on its end behavior:

Draggable item		Corresponding Item
5x5 + x4 - 12x3 + 9x		graph iii
6x4 - 19x2 + 3x + 2

1

Fill in the blank:

1

Fill in the blank:

1

Write the function in factored form.

Add: (7 - 2i) + (-5 + 11i). Write your answer in the form a + bi or a - bi.

Subtract: (7 - 2i) - (-5 + 11i). Write your answer in the form a + bi or a - bi.

Subtract: (8 + i) - (7 - 2i). Write your answer in the form a + bi or a - bi.

Multiply: (7 - 2i)(-5 + 11i). Write your answer in the form a + bi or a - bi.

Multiply: (7 - 2i)(8 + i). Write your answer in the form a + bi or a - bi.

Multiply: (-5 + 11i)(-5 - 11i). Write your answer in the form a + bi or a - bi.

Evaluate: 5i14

Evaluate: i73

Evaluate: (-2i)11

What is one solution to the equation 7x2 + 63 = 0?

What is the other solution to the equation 7x2 + 63 = 0?

What are solutions to the equation x2 +14x + 65 = 0? (Use +/- notation.)

What is x4 - 27x2 + 50 in factored form? (Remember to factor completely.)

What is one solution to the equation x4 - 27x2 + 50 = 0?

What is another solution to the equation x4 - 27x2 + 50 = 0?

What is a third solution to the equation x4 - 27x2 + 50 = 0?

What is the fourth solution to the equation x4 - 27x2 + 50 = 0?

What is one factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

What is another factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

What is the third factor of 2x4 + 6x3 + 12x2 + 36x? (Note: factors should be written in parentheses.)

What is one solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

What is another solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

What is a third solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

What is the last solution to the equation 2x4 + 6x3 + 12x2 + 36x = 0?

Select ALL of the factors below that are factors of x4 - x3 - 19x2 - 11x + 30.

Write 3x3 - 81 in factored form.

What is the real solution to the equation 3x3 - 81 = 0?

What are the imaginary solutions to the equation 3x3 - 81 = 0? (Use +/- notation.)

Write an equation in standard form with the solutions -9 and 2.

Write an equation in standard form with the solutions

Write an equation in factored form with the solutions 0, -1, and 4.

Write an equation in factored form with the solutions

Match each expression with the graph that could match it based on its end behavior:

Draggable item		Corresponding Item
5x5 + x4 - 12x3 + 9x		graph iii
6x4 - 19x2 + 3x + 2		graph iv
-2x4 - x3 + 13x + 1		graph i
-2x3 + 7x2 + 2x - 4		graph ii

Fill in the blank:

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Write the function in factored form.

Fill in the blank:

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Write the function in factored form.

Fill in the blank:

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

Write the function in factored form.

Select ALL of the factors below that are factors of x4 - x3 - 19x2 - 11x + 30.

(x - 5)

(x - 4)

(x - 3)

(x - 2)

(x - 1)

(x)

(x + 1)

(x + 2)

(x + 3)

(x + 4)

(x + 5)

graph iv

-2x4 - x3 + 13x + 1

graph i

-2x3 + 7x2 + 2x - 4

graph ii

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

(-4.3, -12)

(-4, 0)

(-3.25, 9.5)

(-1, 0)

(0, 5)

(1.75, 22)

(3, 0)

(3.25, -12)

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

(-4.3, -12)

(-4, 0)

(-3.25, 9.5)

(-1, 0)

(0, 5)

(1.75, 22)

(3, 0)

(3.25, -12)

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

(-4.25, 25)

(-4, 0)

(-3, -45)

(0, 0)

(3, -20)

(7, 0)

(9, 25)

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

(-4.25, 25)

(-4, 0)

(-3, -45)

(0, 0)

(3, -20)

(7, 0)

(9, 25)

Select ALL of the following that are an exact or approximate location of a local minimum for the graph.

(-4, 25)

(-3, 0)

(-0.5, -21)

(0, - 18)

(1, 0)

(2, 12)

(3, 0)

(4.5, -30)

(6, 0)

(6.5, -35)

Select ALL of the following that are an exact or approximate location of a local maximum for the graph.

(-4, 25)

(-3, 0)

(-0.5, -21)

(0, - 18)

(1, 0)

(2, 12)

(3, 0)

(4.5, -30)

(6, 0)

(6.5, -35)