Simplifying and Solving 0123456-2-3-4-5-6 1 Medina.

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Presentation transcript:

Simplifying and Solving Medina

 Absolute Value– The absolute value of a number is the distance from zero  Since distance can not be negative, the absolute value of a number is always positive.  However, that does not mean that an absolute value equation will only have positives value for the variable.  Absolute value equation have two solutions because you can move in two different directions on the number line. 2Medina

3 Absolute value is 3 Ask yourself, how many steps do you take to 3? What is the absolute value of ? 3Medina

8 Absolute value is 8 Ask yourself, how many steps do you take to -8? What is the absolute value of ? 4Medina

9 _ Ask yourself, how many steps do you take to 9? What is the absolute value of ? 9 But have we used the negative sign yet? 5Medina

7 _ Ask yourself, how many steps do you take to -7? What is the absolute value of ? 7 But have we used the negative sign yet? 6Medina

 Step 1– simplify the expression inside the absolute value sign  Step 2– Take the absolute value  Step 3– Simplify the expression 7Medina

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_ _ 10Medina

_ _ 11Medina

 Absolute Value– The absolute value of a number is the distance from zero  Absolute value equation have two solutions because you can move in two different directions on the number line. 1. Isolate the absolute value sign 2. Separate the equation into the two possible equations 3. Solve for the variable 4. Check solutions 12Medina

13Medina The absolute value of x is the distance from zero. If | x | = Start Here Therefore x = 4 or -4 because they are both 4 steps away from zero.

14Medina The absolute value of x is the distance from zero. If | x | = Start Here therefore its No Solution Wait!!!! Think about it Can we take -5 steps? No, distance is always positive

1. Isolate the absolute value sign 15Medina 2. Separate the equation into the two possible equations 3. Solve for the variable 4. Check solutions

1. Isolate the absolute value sign 16Medina 2. Separate the equation into the two possible equations 3. Solve for the variable 4. Check solutions

1. Isolate the absolute value sign 17Medina 2. Separate the equation into the two possible equations 3. Solve for the variable 4. Check solutions

1. Isolate the absolute value sign 18Medina 2. Separate the equation into the two possible equations 3. Solve for the variable 4. Check solutions

1. Isolate the absolute value sign 19Medina 2. Separate the equation into the two possible equations Think about it… Can we take -4 steps? No, distance is always positive