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Solving One-Step Equations

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Presentation on theme: "Solving One-Step Equations"β€” Presentation transcript:

1 Solving One-Step Equations
Created by Ita RodrΓ­guez

2 Equations An equation is a mathematical sentence with an equal sign.
π‘₯+5=3 If it doesn’t have an equal sign, it is not an equation! π‘¦βˆ’ algebraic expression

3 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.

4 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!

5 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

6 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 βˆ’5 βˆ’5

7 Solving Equations by Adding or Subtracting
Solve π‘₯+5=3. Step 5: Solve the equation on both sides. = π‘₯+5 = 3 βˆ’5 βˆ’5 0 βˆ’2 = π‘₯ = βˆ’2

8 Solving Equations by Adding or Subtracting
Solve 12=π‘¦βˆ’7. 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

9 Solving Equations by Adding or Subtracting
Solve 12=π‘¦βˆ’7. 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‘¦βˆ’7

10 Solving Equations by Adding or Subtracting
Solve 12=π‘¦βˆ’7. Step 5: Solve the equation on both sides. = =π‘¦βˆ’7 = =𝑦

11 Solving Equations by Multiplying or Dividing
Solve 3π‘š=βˆ’6. 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)

12 Solving Equations by Multiplying or Dividing
Solve 3π‘š=βˆ’6. 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‘š 3 = βˆ’6 3

13 Solving Equations by Multiplying or Dividing
Solve 3π‘š=βˆ’6. Step 5: Solve the equation on both sides. = π‘š 3 = βˆ’6 3 = π‘š=βˆ’2

14 Solving Equations by Multiplying or Dividing
Solve π‘˜ 2 =βˆ’4. (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

15 Solving Equations by Multiplying or Dividing
Solve π‘˜ 2 =βˆ’4. We are told by the equation that each value of k is βˆ’4. k We can see there are 2 groups βˆ’ (βˆ’4)= βˆ’8 So k= βˆ’8. βˆ’4 βˆ’4

16 Solving Equations by Multiplying or Dividing
Solve π‘˜ 2 =βˆ’4. Now we’ll 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

17 Solving Equations by Multiplying or Dividing
Solve π‘˜ 2 =βˆ’4. 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 βˆ™ π‘˜ 2 =βˆ’4βˆ™ 2 1

18 Solving Equations by Multiplying or Dividing
Solve π‘˜ 2 =βˆ’4. Step 5: Solve the equation on both sides. 2 1 βˆ™ π‘˜ 2 =βˆ’4βˆ™ 2 1 π‘˜=βˆ’8

19 Good luck! Now you try


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