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2.1 solving 1-step equations. I can solve one-step equations in one variable. Equivalent 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. Addition and subtraction properties of equality. - PowerPoint PPT Presentation
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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