section 3.4 solving multi step equations (algebra)

Actual, extra credit (not like last time)

TURN IN YOUR TEST THEN START:Johnny took some rope with him on his camping trip. He used 32 feet of rope to tie his canoe to a log on the shore. He then gave 1/3 of the remaining rope to some fellow campers who also needed to tie their canoes. The next night, he used half of the remaining rope to secure his tent during a thunderstorm. On the last day, he used 7 feet as a fish stringer to keep the fish that he caught. After the camping trip, he had 9 feet left. How much rope did he have at the beginning of the camping trip?

Section 3.4

Solving Multi-Step Equations

Algebraic EquationsMultiplication with Subtraction

2x = 10

2x = 102 2x = 5

Algebraic EquationsMultiplication with Subtraction

x – 4 = 8+4+4

x = 12

Algebraic EquationsMultiplication with Subtraction

x

4= 10(4) (4)

x = 40

Algebraic EquationsMultiplication with Addition

x = 6

x = 18/2 = 9

23

(HINT)Reciprocal

32

32

Algebraic EquationsMultiplication with Subtraction

2x – 4 = 8+4+4

2x = 122 2x = 6

Algebraic EquationsMultiplication with Addition

5x + 10 = 80-10-10

5x = 705 5x = 14

Algebraic EquationsMultiplication with Subtraction

-3x – 4 = -82+4+4

-3x = -78-3 -3x = 26

Algebraic EquationsMultiplication with Addition

2/3x + 2 = 8-2-2

x = 6

x = 18/2 = 9

23(HINT)

Reciprocal

32

32

Algebraic EquationsDivision with Addition

x/5 + 2 = 8-2-2

= 6

x = 30

x5

(5) (5)

Algebraic EquationsDivision with Addition

= 7

X + 10 = 28

X + 10 4

(4) (4)

Algebraic EquationsDivision with Addition

= 6

X - 13 = 30

x - 13 5

(5) (5)

Algebraic Equations

C.L.T.

-20-20

10x = 6010

4x +6x + 20 = 80( )10x + 20 = 80

10

x = 6

12 12

7x + 5x - 12 = 48 12x - 12 = 48

+12+12

12x = 60

X = 5

Algebraic Equations

Distributive Property

Algebraic Equations

C.L.T.

-12-12

5x = 805

3x + 2x + 20 - 8 = 92

5x + 12 = 92

5

x = 16

( ) ( )

THE END

Homework:

Study Review Sheet

Quiz Tomorrow!!

Use Worksheets & Notes to review and practice for the test.