Name That Property
If a = b, then ac = bc.
Multiplication Property of Equality
What reason comes after the "given" equation?
3k=12
Division Property
The sum of two consecutive integers is 29. What are those two integers?
14 and 15
What is the hypothesis of the following statement: "If Emily is late to school, then her dad will have to drive her."?
Emily is late to school.
If a = b, then a/c = b/c.
Division Property of Equality
What comes after the "given" equation?
3(5x+2)=36
The Distributive Property
Joe and Sam went to a carnival. They spent a total of $42. If they spent $15 total on rides and $9 total on food, how much did each of their tickets cost?
t = 9
What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."?
The angles are supplementary.
a(b + c) = ab + ac
Distributive Property
What is the "given" reason after 4=x?
The Symmetric Property
If a triangle has sides that are consecutive odd integers and the perimeter is 129units, then what are the lengths of the side of the triangle?
41units, 43units, 45units
What is the bi-conditional statement of the following statement? "If Gabe lives in Virginia, then she lives in the United States."
Gabe lives in Virginia if and only if she lives in the United States.
Which property would you use FIRST to solve this equation? 3x + 5 = 7
Subtraction Property of Equality
What will always be the first reason for a statement?
The Given
Jimmy is saving up to buy a TV that costs a total of $550. So far, he has saved $178. If he wants to buy the TV 3 weeks from now, how much would he have to save every week to have enough money to purchase the TV?
$124 = w
What is the contrapositive? Name definition
*check notes*
Write the converse then negate both hypothesis and conclusion
Which property would you use LAST when solving this equation? 5x - 4 = 26
Division Property of Equality
What is the next step of reason called?
4x-2=16
Property of Subtraction
A photography shop has two different plans. Plan A: $20 for a photo session and $5 per picture you decide to order. Plan B: $50 for a photo sessions and $2 per photo you decide to order. How many pictures would you have to order for Plan B to cost less than Plan A?
p > 10
What is a bi-conditional statement? Definition
*check notes*
When a conditional statement and it's converse are both true "if and only if"