Is this a “ positive 5 ” or “ plus 5 ”? 5 – 2x = 14 BOTH +
HINT: If you don’t see a negative or positive sign in front of a number it is always positive. 5 +
Is this a “ negative 7x ” or “ minus 7x ”? 2 – 7x = 10 BOTH
HINT: The sign in front of the number BELONGS TO THE NUMBER ! –7
I will show you 2 ways to solve this equation! Which one do you think is easier? WHY? Same answer!
It is easier if you move the smaller number of x’s to one side. If you move the larger number of x’s you will end up with negative x’s
Solve With x’s on Both Sides
Solve With x’s on Both Sides
13 = 4(3x – 7) = 12x = 12x = 12x__ ___ = x 13 = 4(3 3 – 7) = 4(9 - 7) = = = 4(2) + 5 Solve With The Distributive Property
Solve With The Distributive Property
Solve With The Distributive Property
Solve With The Distributive Property
Solve With The Distributive Property
Solve With The Distributive Property
Solve With The Distributive Property Challenging One!
The End! Take out your study guide !
#19 1) Get rid of the parenthesis by distributing 2) Combine like terms 3) Move the smaller number of x’s to one side 4) Move all numbers to the other side 5) Get x all by itself 6) Check your answer in the original equation Circle answer. Show work in the check!
5(m - 6) = 10 5m - 30 = m = m = 8 Get rid of parenthesis first by distributing. #20 Check in the original equation! 5(8 - 6) = 10 Do PEMDAS in the check! 5(2) = = 10
8x - 4 = 3(2x + 8) Get rid of the parenthesis. 8x - 4 = 6x+ 24 Get the variables on one side. Subtract 6x from both sides. -6x 6x and –6x cancel out 2x - 4 = 24 Add 4 to both sides x = 14 Divide both sides by 2. 2x = 28__ __ 2 2 #21 Show your check! 8(14) - 4 = 3(2 14+8) = 3(36) 108 = 108 Finish your check!
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Solve With The Distributive Property Challenging One!
13 = 4(3x – 5) = 12x = 12x = 12x __ ___ = x # Extra 13 = 4(3 2 – 5) = 4(6 - 5) = = = 4(1) + 9 Show work in the check!
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