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Two-Step Equation Problem

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Two-Step Equation Problem worksheet preview

Do Now: Two-Step Equation Problem

📝 Do Now: Word Problem

Problem: Sarah is saving money to buy a new bike. She already has $45 saved up. Her grandmother gives her the same amount of money each week for doing chores. After 6 weeks of receiving money from her grandmother, Sarah has a total of $165. How much money does Sarah's grandmother give her each week?

Step 1: Write an equation to represent this situation. Let x = the amount Sarah receives each week.

Step 2: Show your work to solve the equation:

Step 3: Write your final answer in a complete sentence:

Two-Step Equation Problem - ANSWER KEY

🔑 Answer Key

Problem: Sarah is saving money to buy a new bike. She already has $45 saved up. Her grandmother gives her the same amount of money each week for doing chores. After 6 weeks of receiving money from her grandmother, Sarah has a total of $165. How much money does Sarah's grandmother give her each week?

Step 1: Write an equation to represent this situation.

Answer: 45 + 6x = 165

(Where x = amount received each week)

Step 2: Show your work to solve the equation:

Solution:

45 + 6x = 165

45 + 6x - 45 = 165 - 45

6x = 120

6x ÷ 6 = 120 ÷ 6

x = 20

Step 3: Final answer in a complete sentence:

Answer: Sarah's grandmother gives her $20 each week.

Check: 45 + 6(20) = 45 + 120 = 165 ✓

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