1.   Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1.
    A. 3x + 10 = 13 B. x = 1
    C. 3x + 10 D. 3x
    Hint

  2.   Which values are a counterexample to the given statement?
If x · y = a decimal, then neither x nor y is a whole number.
    A. x = 7.1, y = 2.2 B. x = 1, y = 0.5
    C. x = 0.3, y = 0.2 D. x = 1.75, y = 0.9
    Hint

  3.   Which values of x and y are counterexamples to the given statement?
If xy = an even number, then both x and y are even numbers.
    A. x = 22, y = 20 B. x = 15, y = 8
    C. x = 12, y = 4 D. x = 19, y = 13
    Hint

  4.   Identify the hypothesis in the following statement: If x – 3 = 9, then x = 12.
    A. x – 3 B. x = 12
    C. x – 3 = 9 D. x
    Hint

  5.   Identify the conclusion in the following statement: If 13b + 12 = 77, then b = 5.
    A. 13b + 12 B. b = 5
    C. 13b + 12 = 17 D. b
    Hint