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Weens

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Submitted By koneal7
Words 468
Pages 2
Kierra O’Neal
Dr.Fletcher P12
11:00-12:20
October 15, 2015

Solve the equation. * Example 1: 5x+4=3x-8
Step one: Move the smallest variable to one side and subtract * 2x+4= -8
Step two: Move the constant term to the other side and subtract * 2x= -12
Step three: Divide by 2 to get what “X” is * X= -6

* Example 2: 6(x-1)+4= 3(7x+1)
Step one: Distribute the 6 and the 3 * 6x-6+4= 21x+3
Step two: Combine like terms * 6x-2= 21x+3
Step three: Move smaller variable to one side and subtract * -2= 15x+3
Step four: Move the three to the other side * -5= 15x
Step five: Divide by 15 * -5/15= x
Step six: ALWAYS simplify * -1/3= x

* Example 3: 7x/9-12= x
Step one: Multiply each side by 9 * 7x-108=9x
Step two: Add 108 to both sides * 7x= 9x+108
Step three: Subtract 9x from both sides * -2x=108
Step four: Divide by negative 2 to find what “X” is * X= -54

Solve and graph the inequality. Write the solution set in interval notation. * Example 1: 7x-9 > 6x-12
Step one: Move the smallest variable to one side and subtract * X-9 > -12
Step two: Move the constant term to other side and add * X > -3
Step three: Write in interval notation * [-3, infinity)
Step four: Graph

* Example 2: 2x+8 > 10x-14
Step one: Subtract 8 from both sides * 2x > 10x-22
Step two: Subtract 10x from both sides * -8x > -22
Step three: Multiply both sides by -1 (reverse inequality) * 8x < 22
Step four: Divide both sides by 8 * X < 11/4

* Example 3: 7x < 49
Step one: divide both sides by 7 to find out what “X” is * X <49
Step two: Graph

Solving the equation * Example 1: | 3x-4 / 8x+5| = 3
Step one: Get rid of the absolute value sign by rule 2 (|x|>c x>c or x c-c) * 3x-4/8x+5 = -3
Step two: Multiply both sides by 8x+5 * 3x-4 = -3(8x+5)
Step three: Distribute the negative 3 * 3x-4 = -24x-15
Step four: Add 4 to both sides * 3x=-24x-11
Step five: Add 24x to both sides * 27x= -11
Step six: Divide both sides by 27 to find out “X” * X= 11/27

OR 3x-4/8x+5= 3
Step one: Multiply both sides by 8x+5 * 3x-4 = 3(8x+5)
Step three: Distribute the 3 * 3x-4 = 24x+15
Step four: Add 4 to both sides * 3x=24x+19
Step five: Subtract 24x to both sides * -21x= 19
Step six: Divide both sides by negative 21 to find out “X” * X= -19/21

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