# Algebra Concepts Chapter Exam

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### Page 1

#### Question 1 1. The inverse of addition is:

#### Question 2 2. According to the identity property, _____.

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Question 3
3.
Let set L = {oak, maple, elm}

Let set T = {yellow, red, brown}

Find L x T.

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Question 4
4.
Let set N = {backpack, bag}

Let set R = {pencil, paper, pen}

Find N x R.

#### Question 5 5. Which of the following is not a property of a real number?

### Page 2

#### Question 6 6. Which numbers are numbers that mathematicians discovered and use to solve complex equations?

#### Question 7 7. Which number system has places of five, twenty-five, and one hundred twenty-five?

#### Question 8 8. Computers use which number system?

#### Question 9 9. If z = 4 - 3i, the real part of z is _____.

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Question 10
10.
If z1 = 4 - 3*i* and z2 = -3 + 4*i*, what is z1 x z2?

### Page 3

#### Question 11 11. Use the Venn Diagram.

#### Question 12 12. Use the Venn Diagram.

#### Question 13 13. What is the modulus of the complex number shown in the graph?

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Question 14
14.
What is the modulus of the complex number -6 +8*i*?

#### Question 15 15. Is the Set {1} a Group over Multiplication?

### Page 4

#### Question 16 16. What is a Group?

#### Question 17 17. Which of the following does NOT provide enough information to create a set of ordered pairs?

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Question 18
18.
What is the domain of this set of ordered pairs?

{ (4, 8), (6, -3), (1, 7), (-12, 5) }

#### Question 19 19. What Chinese sovereign wrote thoughts of binary systems?

#### Question 20 20. How is the binary system useful in computers?

### Page 5

#### Question 21 21. Which number is the largest?

#### Question 22 22. Which number is the smallest?

#### Question 23 23. Division is the inverse of:

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Question 24
24.
Let set I = {-1, -2, -3}

Let set R = {6, 7}

Find I x R.

#### Question 25 25. Which of the following numbers fits the classification system real, rational, integer?

### Page 6

#### Question 26 26. Which number system has places of four, sixteen, and sixty-four?

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Question 27
27.
If z1 = -2 - 3*i* and z2 = 2 + 4*i*, what is z1 + z2?

#### Question 28 28. Use the Venn Diagram. Which of the following is ⊆ A?

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Question 29
29.
What is the modulus of the complex number 9 - *i*?

#### Question 30 30. What is a Set?

#### Algebra Concepts Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!