# Logic and Proof

### Quizzes

1. |
What property of equality would you use to solve for x in the equation 5x = 15? -> Symmetry |
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2. |
Which is an example of the symmetric property of equality? -> If A = B and B = C, then A = C |
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3. |
Which of these is not a property of equality (and therefore congruence)? -> Transitivity |
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4. |
Which property lets us simplify the equation (10 – 5)^{2x} – (10 – 5) = 0 to 5^{2x} – 5 = 0? -> Reflexive Property |
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5. |
We are given that A = B and C = D. What would make the statement A/C = B/D untrue? -> D = 0 |
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6. |
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = -9.
Which of the following fits best for statement 3? -> 2 |
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7. |
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = -9.
Which of the following fits best for statement 4? -> |
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8. |
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = -9.
Which of the following fits best for statement 5? -> |
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9. |
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = -9.
Which of the following fits best for statement 6? -> |
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10. |
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = -9.
Which of the following fits best for statement 7? -> |