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Solving One-Step Equations
Created by Ita RodrΓguez
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Equations An equation is a mathematical sentence with an equal sign.
π₯+5=3 If it doesnβt have an equal sign, it is not an equation! π¦β algebraic expression
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Equations Operations are addition, subtraction, multiplication, and division. Inverse operations are opposites of each other. addition subtraction multiplication division Equations are solved using inverse operations.
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Solving Equations by Adding or Subtracting
Solve π₯+5=3. Step 1: Identify which side of the equation the variable is on. Left side Step 2: Identify what is being done to the variable. Adding 5 Step 3: What is the opposite or inverse operation? Subtracting 5 Now we are ready to use algebra tiles!
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Solving Equations by Adding or Subtracting
Solve π₯+5=3. Step 1: Identify which side of the equation the variable is on. = Left Step 2: Identify what is being done to the variable. Adding 5 or Positive 5
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Solving Equations by Adding or Subtracting
Solve π₯+5=3. Step 3: What is the opposite or inverse operation? = Subtract 5 or Negative 5 Step 4: Balance the equation by doing the opposite or inverse operation on both sides. = π₯+5=3 β5 β5
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Solving Equations by Adding or Subtracting
Solve π₯+5=3. Step 5: Solve the equation on both sides. = π₯+5 = 3 β5 β5 0 β2 = π₯ = β2
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Solving Equations by Adding or Subtracting
Solve 12=π¦β7. Step 1: Identify which side of the equation the variable is on. = Right Step 2: Identify what is being done to the variable. Subtracting 7 or Negative 7
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Solving Equations by Adding or Subtracting
Solve 12=π¦β7. Step 3: What is the opposite or inverse operation? = Adding 7 or Positive 7 Step 4: Balance the equation by doing the opposite or inverse operation on both sides. = =π¦β7
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Solving Equations by Adding or Subtracting
Solve 12=π¦β7. Step 5: Solve the equation on both sides. = =π¦β7 = =π¦
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Solving Equations by Multiplying or Dividing
Solve 3π=β6. Step 1: Identify which side of the equation the variable is on. = Left Step 2: Identify what is being done to the variable. Multiplying (3 groups of tiles)
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Solving Equations by Multiplying or Dividing
Solve 3π=β6. Step 3: What is the opposite or inverse operation? = Divide 3 Step 4: Balance the equation by doing the opposite or inverse operation on both sides. = π 3 = β6 3
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Solving Equations by Multiplying or Dividing
Solve 3π=β6. Step 5: Solve the equation on both sides. = π 3 = β6 3 = π=β2
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Solving Equations by Multiplying or Dividing
Solve π 2 =β4. (Because π 2 means half a variable tile, we cannot use algebra tiles to solve. Instead, we will draw a representation.) A variable k is being divided into 2 parts. k
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Solving Equations by Multiplying or Dividing
Solve π 2 =β4. We are told by the equation that each value of k is β4. k We can see there are 2 groups β (β4)= β8 So k= β8. β4 β4
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Solving Equations by Multiplying or Dividing
Solve π 2 =β4. Now weβll solve algebraically. Step 1: Identify which side of the equation the variable is on. Left Step 2: Identify what is being done to the variable. Dividing 2
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Solving Equations by Multiplying or Dividing
Solve π 2 =β4. Step 3: What is the opposite or inverse operation? Multiply 2 Step 4: Balance the equation by doing the opposite or inverse operation on both sides. 2 1 β π 2 =β4β 2 1
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Solving Equations by Multiplying or Dividing
Solve π 2 =β4. Step 5: Solve the equation on both sides. 2 1 β π 2 =β4β 2 1 π=β8
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Good luck! Now you try
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