http://. is this a “ positive 5 ” or “ plus 5 ”? 5 – 2x = 14 both +

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Is this a “positive 5” or “plus 5”? 5 – 2x = 14

is the same a s apositive 5 plus 5

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

is the same as a negative 7x minus 7x


HINT: The sign in front of the number BELONGS TO THE NUMBER!

–7


I will show you 2 ways to solve this equation!

3x 7 5x 13 3x 7 5x 13 3x 3x

7 2x 13 13 13 20 2x2 2

10 x

5x 5x 2x 7 13

7 7 2x 20 2 2 x 10

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 7x 5 3x 23

3x 3x 4x 5 23

5 5 4x 284 4

x 7


Solve With x’s on Both Sides x 5 6x 20

x x 5 5x 20

20 20 25 5x 5 5

5 x


13 = 4(3x – 7) + 5

13 = 12x - 28 + 5

13 = 12x - 23 +23 +23

36 = 12x__ ___ 12 12

3 = x

13 = 4(3 3 – 7) +5

13 = 4(9 - 7) + 5

13 = 8 + 5

13 = 13

13 = 4(2) + 5

Solve With The Distributive Property


3y 6(y 2) 24 3y 6y 12 24

9y 12 24 12 12 9y 369 9

y 4



48 4m

24 6(m 4) 2m

24 6m 24 2m

24 4m 24 24 24

4 412 m



4 4

8 4(x 3) 32

8 4x 12 32

4x 4 32 4 4

4x 36

x 9



4(x 2) 3(x 1)

3x -3xx 8 3

8 +8x 11

4x 8 3x 3



5(8 x) 3(x 8)

5x 5x 40 8x 24 24 24 64 8x8 88 x

40 5x 3x 24



3(4x 20) 4(5 2x)

8x 8x 20x 60 20

60 60 20x 8020 20

x 4

12x 60 20 8x

Solve With The Distributive PropertyChallenging 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 = 10 + 30 +30

5m = 40

5 5m = 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

10 = 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

6x and –6x cancel out2x - 4 = 24

Add 4 to both sides. + 4 + 4

x = 14 Divide both sides by 2.

2x = 28__ __ 2 2

#21

Show your check! 8(14) - 4 = 3(2 14+8)112 - 4 = 3(36) 108 = 108 Finish your check!


2(3x 1) 4(10 2x)

8x 8x 14x 2 40

2 2 14x 4214 14

x 3

6x 2 40 8x

Solve With The Distributive PropertyChallenging One!


13 = 4(3x – 5) + 9 13 = 12x - 20 + 913 = 12x - 11

+11 +1124 = 12x__ ___ 12 122 = x

#Extra

13 = 4(3 • 2 – 5) +913 = 4(6 - 5) + 9

13 = 4 + 9

13 = 13

13 = 4(1) + 9

Show work in the check!


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