Patterns
Give the next two terms in the following pattern:
1, 2, 4, 7, 11, ...
What is 16, 22, ...?
Identify the hypothesis of the following conditional statement:
"If you water the plants regularly, then they will thrive."
What is "you water the plants regularly?"
Consider the conditional statement:
"Pine trees have needles."
The statement "If a tree is not a pine tree, then it is does not have needles" is the ________ of the conditional statement
What is inverse?
Determine if the following statement is a good definition:
Tables have exactly four legs.
What is no?
Name the property that justifies the statement:
If 3(5x+7)=8, then 15x+21=8.
What is the distributive property?
Give the next two terms in the following pattern:
1, -2, 4, -8, 16, ...
What is -32, 64, ...?
Identify the conclusion of the following conditional statement:
"If we leave the show early, then we will avoid traffic."
What is "we will avoid traffic?"
Consider the conditional statement:
"Pine trees have needles."
The statement "If a tree does not have needs, then it is not a pine tree" is the ________ of the conditional statement
What is contrapositive?
Determine if the following statement is a good definition:
Computers have screens.
What is no?
Name the property that justifies the statement:
If 6x=72, then x=12.
What is the division property of equality?
Give the next two terms in the following pattern:
6, 24, 96, 384, ...
What is 1536, 6144, ...?
Identify the hypothesis of the following conditional statement:
"If you eat too much candy, then you might feel sick later."
What is "you eat too much candy?"
Consider the conditional statement:
"Pine trees have needles."
The statement "If a tree has needles, then it is not a pine tree" is the ________ of the conditional statement
What is the not the converse, inverse, or contrapositive, but something other?
Determine if the following statement is a good definition:
A liter is close to a quart.
What is no? (unless you're an engineer where 1 might as well equal 1.05669)
Name the property that justifies the statement:
If 2x-5 = 27, then 2x = 32.
Consider the following pattern:
9, 11, 13, 15, 17, ...
Let x be the index of the pattern, starting at 1. Write an equation where y equals the number in the pattern for any x.
What is y = 2(x-1) + 9 or y= 2x+7?
Identify the conclusion of the following conditional statement:
"You will likely get a good grade if you study for the exam."
What is "you will likely get a good grade on the exam?"
Consider the conditional statement:
"Pine trees have needles."
The statement "If a tree has needles, then it has a pine tree" is the ________ of the conditional statement
What is converse?
Determine if the following statement is a good definition:
An inch is a unit of measure that is exactly 2.54 centimeters long.
What is yes?
Name the property that justifies the statement:
If AB = DE, then AB + CD = CD + DE
What is the addition property of equality?
Consider the following pattern:
1, 3, 9, 27, 81, ...
Let x be the index of the pattern, starting at 1. Write an equation where y equals the number in the pattern for any x.
What is y = 3x-1 or y=3x/3?
Identify the hypothesis of following conditional statement:
"Tomorrow we will cancel the picnic if it rains."
What is "it rains tomorrow?"
Consider the conditional statement:
"Pine trees have needles."
Rephrase the statement as a biconditional that may or may not be true (not sure, I'm no arborist).
What is "A tree is a pine tree if and only if it has needles?"
To show that something is NOT a good definition, you have to find one of these that falsifies the statement.
What is a counterexample?
Name the property that justifies the statement:
If AB = CD and CD = 15, then AB = 15.
What is the transitive property of equality?