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1. |
Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1. |
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A. |
3x |
B. |
3x + 10 = 13 |
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C. |
x = 1 |
D. |
3x + 10 |
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Hint |
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2. |
Identify the conclusion in the following algebraic statement:
If a = 3, then 2a + 1 = 7. |
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A. |
a = 3 |
B. |
2a + 1 = 7 |
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C. |
2a + 1 |
D. |
2a |
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Hint |
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3. |
Which values are a counterexample to the given statement?
If x · y = a decimal, then neither x nor y is a whole number. |
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A. |
x = 1.75, y = 0.9 |
B. |
x = 7.1, y = 2.2 |
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C. |
x = 1, y = 0.5 |
D. |
x = 0.3, y = 0.2 |
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Hint |
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4. |
Which values of x and y are counterexamples to the given statement?
If x – y = an even number, then both x and y are even numbers. |
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A. |
x = 19, y = 13 |
B. |
x = 22, y = 20 |
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C. |
x = 15, y = 8 |
D. |
x = 12, y = 4 |
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Hint |
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5. |
Which values are a counterexample to the given statement?
If x × y = 0, then x must be 0. |
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A. |
x = 0, y = 1 |
B. |
x = 0, y = 0 |
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C. |
x = 5, y = 0 |
D. |
x = -1, y = 1 |
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Hint |
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