I can solve one-step equations in one variable.

2.1 SOLVING 1-STEP EQUATIONS

• Equations that have the same solutions.

• In order to solve a one-step equation, you can use the properties of equality and inverse operations

EQUIVALENT EQUATIONS

• Adding the same number to each side of an equation produces an equivalent equation.

• x – 3 = 2• x – 3 + 3 = 2 + 3• Subtracting the same number from

each side of an equation produces an equivalent equation.

• x + 3 = 2

• x + 3 – 3 = 2 - 3

ADDITION AND SUBTRACTION PROPERTIES

OF EQUALITY

• To solve an equation you must isolate the variable by getting the variable alone on one side of the equation.

• You do this by using inverse operations, undoing the operation.

• Ex: subtraction is the inverse of addition

INVERSE OPERATIONS

• x + 13 = 27 • You want to isolate the variable • x + 13 - 13 = 27 - 13 • Use inverse operations• x + 0 = 14• Simplify• x = 14

EXAMPLE

• Substitute your answer into the original equation.

• 14 + 13 = 27• 27 = 27

• If both sides are not equal, go back and check your work.

CHECK YOUR ANSWER

• -7 = b -3

• b = -4

YOU TRY!

• Multiplying or dividing each side of an equation by the same nonzero number produces an equivalent equation.

• a ∙ c = b ∙ c

MULTIPLICATION AND DIVISION PROPERTIES OF

EQUALITY

• • x = 6• 5x = 20• x = 4

EXAMPLES

• What is the solution of • Multiply by the reciprocal on each

side

• m = 35

SOLVING USING RECIPROCALS

ODDS ONLYPg. 85 #11-17, 27,29, 39,41, 43-51,

71

ASSIGNMENT