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
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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
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An equation is a balance!
The two sides must ALWAYS remain equal
x ­ 5 =
unbalanced balanced
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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
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-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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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
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1 4
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Exit slip ­ solve for x
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Do Now - fill in the blanks
Unit 2 - Equations Aim #9.2: How can you solve one-step equations?
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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
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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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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
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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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