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 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 on theme: " 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."— Presentation transcript:

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2  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 :

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

4  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.

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

6  Always check your solution!! x = 4 2

7 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?

8 2) -6x = 181) 4x = 24

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

10 Solve -3v = -129 1. v = -126 2. v = -43 3. v = 43 4. v = 126

11 Which step clears the fraction in 1. Multiply by 3 2. Multiply by 5 3. Multiply by -12 4. Multiply by -5

12 Solve 1. b = -56 2. b = -14 3. b = 14 4. b = 56

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