1.
Which values are a counterexample to the given statement?
If
x
+
y
= an even number, then
x
is even and
y
is even.
A.
x
= 21,
y
= 3
B.
x
= 7,
y
= 12
C.
x
= 10,
y
= 9
D.
x
= 12,
y
= 6
Hint
2.
Identify the hypothesis in the following algebraic statement:
If 3
x
+ 10 = 13, then
x
= 1.
A.
3
x
+ 10 = 13
B.
3
x
+ 10
C.
x
= 1
D.
3
x
Hint
3.
Identify the conclusion in the following algebraic statement:
If
a
= 3, then 2
a
+ 1 = 7.
A.
2
a
+ 1
B.
2
a
+ 1 = 7
C.
a
= 3
D.
2
a
Hint
4.
A conditional statement consists of a __________ .
A.
counterexample
B.
conclusion only
C.
hypothesis and a conclusion
D.
hypothesis only
Hint
5.
Identify the hypothesis in the following statement: If
x
– 3 = 9, then
x
= 12.
A.
x
– 3
B.
x
– 3 = 9
C.
x
D.
x
= 12
Hint