solving two-step equations. algebra tiles variable zero pairs
TRANSCRIPT
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Solving Two-Step Equations
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Algebra Tiles
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Variable Zero Pairs
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Zero Pairs
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Example 1
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Check our work
-5 = 2x + 1-5 = 2(-3) + 1
-5 = -6 + 1-5 = -5
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Example 2
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Let’s check our work: 3x – 2 = 43(2) – 2 = 4 6 – 2 = 4 4 = 4
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Example 3
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Let’s check our work: 2x + 1 = 52(2) + 1 = 5 4 + 1 = 5 5 = 5
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Steps for solving
• Get the variable term by itself.• In other words, do the addition/subtraction first.• Isolate the variable.• In other words, do the multiplication/ division last.
*****HINT! Whatever you do to one side of the equation you MUST do to the other side!
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Example
• 2x + 3 = 7 *Get the variable term alone* -3 -3 “undo” addition by subtraction 2 x = 4 *Isolate the variable* 2 2 “undo” multiplication by division x = 2
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Solve + 4 = 9
+ 4 = 9 - 4 - 4 (Subt. 4 from both sides)
3 = 5 3 (Mult. by 3 on both sides)
x = 15
𝒙𝟑
𝒙𝟑
𝒙𝟑
= 5
𝒙𝟑
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a) 3x – 5 = 16
b) 12 = 13 +
c) 16 = 4n + 4
d) – 6 = 4
Try These Problems
y = -4
x = 7
n = 3
n = 20
𝑦4
𝑛2
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Time to Review!
• Keep the equation balanced.• Use inverse operations to “undo”
• Follow the rules:1. Undo Addition or Subtaction2. Undo Multiplication or Division
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Practice Worksheet