Download Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations

Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
DETERMINE THE VALUE OF EACH LETTER: P + X ­ Y = 19
P ­ X = 8
X ­ Y = 7
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
Tim is 3 and he is getting ready to go play in the snow. When he gets ready he follows the same process each day.
When he goes inside he does eveything in reverse.
What is that process?
1
2
Put on ski­pants
take off ski­pants
3
3
put on coat
put on boots
take off coat
take off boots
2
1
3
Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
+­
x ÷x
÷
+­ +
Inverse operations: is to do the opposite (undo or reverse each other's result)
­
Addition and subtraction are inverse operations
+
Multiplication and division are inverse operations
x
÷
x + 5 ­ 5 = 8 ­ 5
x = 3
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
Let's think
You have to show work!
Algebraic Solution
x+ 5 = 8
Start with x....(What operations is applied to x?)
x + 5 = 8
undo the addition
subtract each side by 5
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
Build the equation
Inverse Operation
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
In the textbook they do Build Equations, Solve Equations For example:
For example:
x + 2.4 = 6.5
x + 2.4 = 6.5
Build the equation
+ 2.4
x
x + 2.4
6.5
4.1
­ 2.4
Solve Equations
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
In the textbook they do Build Equations, Solve Equations For example:
3n ­ 4 = 11
Build the equation
x 3
3n
n
5
­ 4
­.. 3
15
3n ­4
11
+ 4
Solve Equations
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
For example:
3n ­ 4 = 11
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
Write and solve an equation to determine each number.
a) 5 times a number is 16
Let x be the number
5x = 16
5x = 16
5 5
x = 3.2
b) A number divide by 7 is 4.5
Let k be the number
k = 4.5
7
(7) k = 4.5(7)
7
k = 31.5
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
You will be expected to show work using the algebraic method.
2x + 3 = 14
Always verify your work
Verify just means check
How?????
Sub your answer into the left hand side of your equation and see it it equals the right hand side
sub x = 5.5 into the LHS
RHS
LHS
2x + 3 = 14
2(5.5) +3
11 + 3
LHS = RHS so we are right 14
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Day 1a_ Section 6.1 Solving Equations by Uning Inverse Operations.notebook
February 08, 2016
Page 271 ­ 274
# 5(abc), #6(bcd) # 8(a,b,d), #9(all) , #10(ace),
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