 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions.

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Presentation transcript:

 A.4f Apply these skills to solve practical problems.  A.4b Justify steps used in solving equations.  Use a graphing calculator to check your solutions. Objectives :

 To isolate the variable on one side of the equation.  Ex: x = 5 is solved for ____.  y = 2x - 1 is solved for ____.

 For any numbers a, b, and c, _________________________________ What it means: You can multiply _____ ________of an equation by any number and the equation will still hold true.

We all know that 3 = 3. Does 3(4) = 3? _______ But 3(4) = 3_____. The equation is still true if we multiply _______ _______ by 4.

 Always check your solution!! x = 4 2

Division Property of Equality For any numbers a, b, and c (c≠0), ________________________________ What it means:  You can divide ______ _______of an equation by any number, except zero, and the equation will still hold true.  Why did we add c ≠ 0?

2) -6x = 181) 4x = 24

The one step method: Ex: 2x = 4 3 The two step method: Ex: 2x = 4 3

Solve -3v = v = v = v = v = 126

Which step clears the fraction in 1. Multiply by 3 2. Multiply by 5 3. Multiply by Multiply by -5

Solve 1. b = b = b = b = 56