1.
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz.
A.
He will get a good grade on the quiz.
B.
Ralph may do his math homework.
C.
Ralph does his math homework.
D.
He will not get a good grade on the quiz.
Hint
2.
To show that a conjecture is false, you need to provide one _____.
A.
guess
B.
theorem
C.
counterexample
D.
possibility
Hint
3.
Identify the hypothesis in the following algebraic statement:
If 3
x
+ 10 = 13, then
x
= 1.
A.
3
x
+ 10
B.
3
x
+ 10 = 13
C.
x
= 1
D.
3
x
Hint
4.
Identify the conclusion in the following algebraic statement:
If
a
= 3, then 2
a
+ 1 = 7.
A.
2
a
B.
2
a
+ 1
C.
a
= 3
D.
2
a
+ 1 = 7
Hint
5.
Which values are a counterexample to the given statement?
If
x
×
y
= 0, then
x
must be 0.
A.
x
= 5,
y
= 0
B.
x
= 0,
y
= 1
C.
x
= 0,
y
= 0
D.
x
= -1,
y
= 1
Hint