Inverse Operations
What is an inverse operation?
It's the opposite; it's how you undo an operation.
Observe the following 2 step equation. What do you do first?
4x+12=24
Subtract; undo the addition
Solve the equation:
2+7x=16
x=2
What is Ms. Gardner's favorite color?
What is a variable?
A variable is a letter or symbol that is used to represent a number
What is the inverse of addition?
Subtraction
Observe the following 2 step equation. What do you do first?
11x+13=-9
Solve the equation:
5+ x/2 = 16
x=22
What pet does Ms. Gardner have?
A cat
What is the Property of Equality? (Ms. Gardner sometimes calls this the Golden Rule of Algebra)
Whatever you do to one side of the equation, you must do to the other.
What is the inverse of subtraction?
Observe the following 2 step equation. What do you do second?
4x+12=24
Divide by 4; undo the multiplication
Solve the equation:
-5= -3(x+11)
x= -28/3
What is Ms. Gardner's pet's name?
Caramel
What is an equation?
An equation is a mathematical sentence that uses an equals sign to show that two quantities are the same as one another
What is the inverse of multiplication?
Division.
Observe the following 2 step equation. What do you do second?
-8x+25=-15
Divide by -8; undo the multiplication
Solve the equation:
0.5x-0.3=0.2
x=1
What does Ms. Gardner make every morning?
Coffee and math!
What is a term?
a single, distinct part of a mathematical expression, which can be a number, a variable, or a product of numbers and variables, separated by addition or subtraction signs
What is the inverse of division?
Multiplication
Observe the following 2 step equation. What do you do first?
3/4(x-4)=24
Multiply by 4/3 or divide by 3/4; undo the multiplication
Solve the equation:
1/2(5-x)= 1/4
x=9/2
What is the only thing that Ms. Gardner can draw?
A coffee cup
What is an expression?
mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between