Transcript
10.19.18 - Aim 9 - One & Two Step equations.notebook1
Do Now - determine what number replaces the variable
Unit 2 - Equations Aim #9.1: How can you solve one-step equations?
1) x 3 = 4 2) r + 4 = 6
3) a = 10 4) 5v = 30 6
10.19.18 Aim 9 One & Two Step equations.notebook
2
October 22, 2018
Using "inverse" operation Goal of any equation: Get the variable by itself
• Inverse Operations are operations that are _________________________ and undo the original operation.
• add subtract
• subtract add
• multiply divide
• divide multiply
To solve an equation, you must _____________________ the variable in the equation. Which means you are
getting the variable by itself.
• An equation must be BALANCED so inverse operations must be performed on _____________________ of an
equation.
10.19.18 Aim 9 One & Two Step equations.notebook
3
An equation is a balance!
The two sides must ALWAYS remain equal
x 5 =
unbalanced balanced
4
Mini Lesson - one step with add/subtract
Step 1: Eliminate the addition or subtraction using the inverse (opposite) operation.
9 + x = -4 -9 -9
x = -13
Step 2: Check your algebra by plugging your answer back into the original equation using parenthesis.
9 + x = -4 9 + (-13) = -4 9 - 13 = -4 -4 = -4
Goal: Isolate the variable! (get x by itself)
Practice
10.19.18 Aim 9 One & Two Step equations.notebook
5
-2x = 18
Mini Lesson - one step with mult/divide Goal of any equation: Get the variable by itself
a line
5
it means multiplication
2 2
6
7
x + 3 = 14 w 8 = 18
6 = y + 4 5 + g = 20
10.19.18 Aim 9 One & Two Step equations.notebook
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9
10.19.18 Aim 9 One & Two Step equations.notebook
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3 x = 27 4 = 10 w
6 = 17 b s 3 = 9
10.19.18 Aim 9 One & Two Step equations.notebook
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1 2
1 3
3 4
1 4
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Exit slip solve for x
10.19.18 Aim 9 One & Two Step equations.notebook
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Do Now - fill in the blanks
Unit 2 - Equations Aim #9.2: How can you solve one-step equations?
10.19.18 Aim 9 One & Two Step equations.notebook
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1 2
1 3
3 4
1 4
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Aim 9.3: How do we solve two step equations?
Which steps can be used to solve for the value of y?
(y + 57) = 178
A divide both sides by , then subtract 57 from both sides B subtract 57 from both sides, then divide both sides by C multiply both sides by , then subtract 57 from both sides D subtract from both sides, then subtract 57 from both sides
10.19.18 Aim 9 One & Two Step equations.notebook
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move what's farthest
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away from the variable!
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10.19.18 Aim 9 One & Two Step equations.notebook
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27
10.19.18 Aim 9 One & Two Step equations.notebook
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Reteach - solving two step equations
Step 1: make a line down the middle to separate left and right side of the equation
9x + 2 = 20
9x + 2 = 20
Step 3: Continue to get the variable by itself
9x + 2 = 20 -2 -2
9x = 18
29
October 22, 2018
Partner Practice • Jeremy, Maddie, Laron • Earl, Steve, Grant, Marco Mr. Bohn • TJ, Mr. Grey • Cole, Ms. Leavy
10.19.18 Aim 9 One & Two Step equations.notebook
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Do Now - determine what number replaces the variable
Unit 2 - Equations Aim #9.1: How can you solve one-step equations?
1) x 3 = 4 2) r + 4 = 6
3) a = 10 4) 5v = 30 6
10.19.18 Aim 9 One & Two Step equations.notebook
2
October 22, 2018
Using "inverse" operation Goal of any equation: Get the variable by itself
• Inverse Operations are operations that are _________________________ and undo the original operation.
• add subtract
• subtract add
• multiply divide
• divide multiply
To solve an equation, you must _____________________ the variable in the equation. Which means you are
getting the variable by itself.
• An equation must be BALANCED so inverse operations must be performed on _____________________ of an
equation.
10.19.18 Aim 9 One & Two Step equations.notebook
3
An equation is a balance!
The two sides must ALWAYS remain equal
x 5 =
unbalanced balanced
4
Mini Lesson - one step with add/subtract
Step 1: Eliminate the addition or subtraction using the inverse (opposite) operation.
9 + x = -4 -9 -9
x = -13
Step 2: Check your algebra by plugging your answer back into the original equation using parenthesis.
9 + x = -4 9 + (-13) = -4 9 - 13 = -4 -4 = -4
Goal: Isolate the variable! (get x by itself)
Practice
10.19.18 Aim 9 One & Two Step equations.notebook
5
-2x = 18
Mini Lesson - one step with mult/divide Goal of any equation: Get the variable by itself
a line
5
it means multiplication
2 2
6
7
x + 3 = 14 w 8 = 18
6 = y + 4 5 + g = 20
10.19.18 Aim 9 One & Two Step equations.notebook
8
9
10.19.18 Aim 9 One & Two Step equations.notebook
10
3 x = 27 4 = 10 w
6 = 17 b s 3 = 9
10.19.18 Aim 9 One & Two Step equations.notebook
11
1 2
1 3
3 4
1 4
12
Exit slip solve for x
10.19.18 Aim 9 One & Two Step equations.notebook
13
Do Now - fill in the blanks
Unit 2 - Equations Aim #9.2: How can you solve one-step equations?
10.19.18 Aim 9 One & Two Step equations.notebook
14
15
16
17
18
19
1 2
1 3
3 4
1 4
20
Aim 9.3: How do we solve two step equations?
Which steps can be used to solve for the value of y?
(y + 57) = 178
A divide both sides by , then subtract 57 from both sides B subtract 57 from both sides, then divide both sides by C multiply both sides by , then subtract 57 from both sides D subtract from both sides, then subtract 57 from both sides
10.19.18 Aim 9 One & Two Step equations.notebook
21
move what's farthest
22
away from the variable!
23
10.19.18 Aim 9 One & Two Step equations.notebook
24
25
26
27
10.19.18 Aim 9 One & Two Step equations.notebook
28
Reteach - solving two step equations
Step 1: make a line down the middle to separate left and right side of the equation
9x + 2 = 20
9x + 2 = 20
Step 3: Continue to get the variable by itself
9x + 2 = 20 -2 -2
9x = 18
29
October 22, 2018
Partner Practice • Jeremy, Maddie, Laron • Earl, Steve, Grant, Marco Mr. Bohn • TJ, Mr. Grey • Cole, Ms. Leavy
10.19.18 Aim 9 One & Two Step equations.notebook
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31
32
33
34
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