section 3.4 solving multi step equations (algebra)
TRANSCRIPT
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:
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Quiz Tomorrow!!
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