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# Expressions & Reasoning in Math Chapter Exam

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!

### Page 1

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Question 1
1.
If a = c and b = c, what kinds of new statements can you make?

A: If a = c and b = c, then a = b.

B: If a = 1, then b = 1.

C: If b = 2, then a = 1.

#### Question 2 2. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

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Question 3
3.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 4 4. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 5
5.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

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#### Question 6 6. Simplify the expression: 3x(x + 5y) + 2y(7x - y) + 4(x^2 + 2y).

#### Question 7 7. Simplify the expression: [2x 3 y2]3.

#### Question 8 8. Simplify the expression: 2a(4b + 3a) + 2ab.

#### Question 9 9. Simplify the expression: 2st + 3t - s + 5t + 4s.

#### Question 10 10. Simplify the expression: 2m + 4m - 8.

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#### Question 11 11. Solve the following rational equation.

#### Question 12 12. Solve for x.

#### Question 13 13. Solve the rational equation.

#### Question 14 14. Solve for x.

#### Question 15 15. Solve for x.

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#### Question 16 16. If you start with what you know about a specific scenario and generalize that information to a whole population, what type of reasoning are you using?

#### Question 17 17. Most advanced mathematical proofs use which type of reasoning?

#### Question 18 18. Tony went swimming at a nearby lake one summer day. There were very few other swimmers there. Later, he told his friend that he had found a great new lake for swimming. He explained that it was great because no one else ever went there. What type of reasoning was Tony using?

#### Question 19 19. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

#### Question 20 20. If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?

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#### Question 21 21. The converse of a logical statement is found by doing what?

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Question 22
22.
Which of the following is the inverse of the below argument?

*If I am in Kansas, then I'm in the United States.*

*If I am in Kansas, then I'm in the United States.*

#### Question 23 23. Which of these is always logically equivalent to the inverse?

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Question 24
24.
Which of these is the logical contrapositive to the following statement?

*If killing in any sense is wrong, then murder is wrong.*

*If killing in any sense is wrong, then murder is wrong.*

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Question 25
25.
In the following statement, which part is the hypothesis?

*If all mammals are animals, then dogs are animals.*

*If all mammals are animals, then dogs are animals.*

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#### Question 26 26. Which of the following is NOT one of the five main logic connectives?

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Question 27
27.
The statement: *If a shape has four equal sides with four right angles, then it is a square* is an example of which logic connective?

#### Question 28 28. What single word best describes Negation logic?

#### Question 29 29. Which logic connective has a symbol that looks like an upside down V (or a tepee that traps things inside)?

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Question 30
30.
The statement *A pet can be a quiet companion or a playmate (or both)* is an example of which logic connective.

#### Expressions & Reasoning in Math 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!