1.
Identify the hypothesis in the following algebraic statement:
If 3
x
+ 10 = 13, then
x
= 1.
A.
3
x
B.
3
x
+ 10
C.
x
= 1
D.
3
x
+ 10 = 13
Hint
2.
A conditional statement consists of a __________ .
A.
counterexample
B.
hypothesis and a conclusion
C.
hypothesis only
D.
conclusion only
Hint
3.
A counterexample disproves a conditional when ________ .
A.
the hypothesis is true and the conclusion is false
B.
the hypothesis is true and the conclusion is true
C.
the hypothesis is false and there is no valid conclusion
D.
the hypothesis is false and the conclusion is false
Hint
4.
Identify the conclusion in the following statement: If 13
b
+ 12 = 77, then
b
= 5.
A.
b
= 5
B.
13
b
+ 12 = 17
C.
13
b
+ 12
D.
b
Hint
5.
Which values are a counterexample to the given statement?
If
x
×
y
= 0, then
x
must be 0.
A.
x
= 0,
y
= 0
B.
x
= 0,
y
= 1
C.
x
= 5,
y
= 0
D.
x
= -1,
y
= 1
Hint