What is an equation?
What is two expressions that are equal
What is an expression?
What is a group of numbers and/or variables that show the value of something without an equal sign
What is a variable?
What is a placeholder that represents an unknown number
How would you write the expression 5t+1?
Five multiplied by a number and increased by 1
What is what you do to one side you MUST do to the other
Solve 4x=16
x=4
How would you write the description "4 divided by a number and take away 3" as an expression
4/n-3
What do you do to the variable when solving an equation?
Isolate the variable
What operation is "decreased" associated with?
Subtraction
What are the steps in solving for a variable in equations?
1. isolate the variable
2. rearrange the equation
3. solve the variable
4. check your check/circle the answer
Give an example of a tricky question from your worksheet
Tricky questions have an extra step, to isolate the variable we have to first move the variable to the other side of the equation and then isolate it.
What does 4x represent and why do we write it that way?
It represents 4 multiplied by a number, we write it this way because writing x could be confused for the letter 'x' as another variable instead of the multiply symbol.
8y=24
y=3
The term 'product' is associated with which operation?
Multiplication
What is the difference between an equation and an expression?
Expressions do not have an equal sign, equations have an equal sign to show each side of the equation are equal.
What is the object I used to describe an equation?
HINT: apples and oranges
A balance scale
Write an expression for the following description "4 multiplied by a number and increased by 7"
4n+7
Solve the variable
3y-2=13
y=5
In which operations does the order matter?
Subtraction and Division
Write your own equation
Write an expression for the description "A number multiplied by 2 and increased by 3"
2n+3
HINT! The server example
If a server makes a set hourly wage of $7 plus whatever tips he makes, you could use a variable to describe that he will make seven dollars an hour plus whatever he makes in tips. 7+n
How would you describe the following expression?
n/5-3
A number divided by five and decreased by three
What operations does the / represent?
Division