Conjectures and Counterexamples

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

Which of the following is a counterexample to the following conjecture? If  $x^2\ =\ 4$ , then x = 2

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 $\le17$  

• a = 6

• a = 0

• a = 5

• a = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• The product of two odd numbers is odd.
• The sum of two odd numbers is odd.

Tags

CCSS.3.OA.D.9

Complete the conjecture.
The sum of two negative numbers is ___________.

• positive
• negative
• odd
• even

Tags

CCSS.6.NS.C.5

How many counters would come next?

• 5
• 7
• 9
• 11

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

Tags

CCSS.3.MD.C.6

Find the next term in the sequence:
A, D, G, J, _____

• L
• M
• P
• K

Tags

CCSS.HSF.BF.A.2

What is the next term in the sequence?

1, 1, 2, 3, 5, 8, 13, ...

• 15

• 21

• 19

• 17

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3