1.
Identify the conclusion in the following algebraic statement:
If
a
= 3, then 2
a
+ 1 = 7.
A.
2
a
B.
a
= 3
C.
2
a
+ 1 = 7
D.
2
a
+ 1
Hint
2.
A conditional statement consists of a __________ .
A.
hypothesis and a conclusion
B.
conclusion only
C.
counterexample
D.
hypothesis only
Hint
3.
A counterexample disproves a conditional when ________ .
A.
the hypothesis is false and the conclusion is false
B.
the hypothesis is false and there is no valid conclusion
C.
the hypothesis is true and the conclusion is true
D.
the hypothesis is true and the conclusion is false
Hint
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.
A.
x
= 19,
y
= 13
B.
x
= 22,
y
= 20
C.
x
= 12,
y
= 4
D.
x
= 15,
y
= 8
Hint
5.
Identify the conclusion in the following statement: If 13
b
+ 12 = 77, then
b
= 5.
A.
b
B.
13
b
+ 12
C.
13
b
+ 12 = 17
D.
b
= 5
Hint