Have you ever seen these? NumberDateDescription of TransactionDebit (-)Credit (+)Balance Previous balance ? Deposit10-13 Direct Deposit- paycheck from business you own – Cutting Edge IT $10,000$1,010, Check # Car note- for your Maybach?$1,004, x + $10,000= $1,010,000 $1,010,000 - x = $1,004,500 $1,000,000 $5,5000 $1,000,000 $5,5000

One Step Equations Part 1

ONE STEP EQUATIONS Today we will learn how to complete one step equations using addition and subtraction.

ONE STEP EQUATIONS What you do to one side of the equation must also be done to the other side to keep it balanced. An equation is like a balance scale because it shows that two quantities are equal.

ONE STEP EQUATIONS What is the variable? To solve one step equations, you need to ask three questions about the equation: What operation is performed on the variable? What is the inverse operation?

ONE STEP EQUATIONS A variable is a symbol (like x or y) that is used in mathematical expressions to represent an undetermined quantity

ONE STEP EQUATIONS The inverse operation is the one that will undo what is being done to the variable

ONE STEP EQUATIONS The operation performed by the variable is addition, subtraction, multiplication, or division.

ONE STEP EQUATIONS Example 1 Solve x + 4 = 12 What is the variable? Subtract 4 from both sides of the equation. The variable is x. Addition Subtraction What is the inverse operation (the one that will undo what is being done to the variable)? What operation is being performed on the variable?

ONE STEP EQUATIONS - 4 x x + 4 = =

ONE STEP EQUATIONS x = 12 8= Check your answer

ONE STEP EQUATIONS Example 2 Solve y - 8 = 17 What is the variable? Add 8 to both sides of the equation. The variable is y. Subtraction Addition What is the inverse operation (the one that will undo what is being done to the variable)? What operation is being performed on the variable?

ONE STEP EQUATIONS + 8 y y - 8 = =

ONE STEP EQUATIONS y = 17 25= Check your answer

ONE STEP EQUATIONS Let’s work this together Solve a + 5 = 11 What is the variable? Subtract 5 from both sides of the equation. The variable is a. Addition Subtraction What is the inverse operation (the one that will undo what is being done to the variable)? What operation is being performed on the variable? What should you do now?

ONE STEP EQUATIONS - 5 a a + 5 = =

ONE STEP EQUATIONS a = 11 6= Check your answer

ONE STEP EQUATIONS What is the variable? Add 7 to both sides of the equation. The variable is x. Subtraction Addition What is the inverse operation (the one that will undo what is being done to the variable)? What operation is being performed on the variable? Let’s work this together Solve x - 7 = 39 What should you do now?

ONE STEP EQUATIONS +7 x x - 7 = =

ONE STEP EQUATIONS x = 39 46= Check your answer

ONE STEP EQUATIONS -69 p 69 + p = = Try this on your own -69

ONE STEP EQUATIONS + 66 v 102 = v = Try this on your own + 66

Tell me in your own words what we covered today…

Now complete #’s 1-31 (even) on page 112 of your math text book ONE STEP EQUATIONS