Solving 2 Step Equations

​Lesson 5:2 Solving 2 Step Equations

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​How to Solve 2 Step Eq.

​We always use inverse operations to solve eq.

When solving equations we have to undo the operations on both sides. To do this we use inverse operations. For example x+2=6 tells us we will use subtraction to undo the addition.

Addition becomes subtraction Subtration becomes addition

Multiplication becomes division Division becomes Multiplication​

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The inverse of multiplication is ​

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​Format for 2 Step Equations:

Subject | Subject

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​Nala and two friends spent $21 on movie tickets and a box of popcorn which was $6.00. How could they figure out how much each movie ticket costs?

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​Example 1

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Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b?

Multiple Choice

Kirsty ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table. The total distance Kirsty traveled was 29.6 kilometers.What was the distance of each lap? Explain how you solved the problem.

• 1.225 km

• 1.242 km

• 1.233 km

Open Ended

How is solving a two-step equation similar to solving a one-step equation?

Open Ended

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Clara has solved the problem 6p − 12 = 72 and says that p = 14. Which shows the correct way to check ?​

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Answer the problems: A. ​ ​

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B. ​

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Solve the problem using the bar diagram

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Solve the problem using the bar diagram,

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Solve the equation

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Solve the equation : 0.5p − 3.45 = −1.2.

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Solve the equation : $\ \frac{n}{10}+7=10$  .