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One-Step Equation Solutions

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One-Step Equation Solutions

One-Step Equation Solutions

Algebraic equations and mathematical symbols

🔍 Part 1: Scavenger Hunt Equations

Instructions: Solve each equation you found during the scavenger hunt. Show your working and check your answer.

1. Equation found: x + 7 = 15

Solution: x = _______

Check: _______ + 7 = 15 ✓

2. Equation found: y - 4 = 9

Solution: y = _______

Check: _______ - 4 = 9 ✓

3. Equation found: m + 12 = 20

Solution: m = _______

Check: _______ + 12 = 20 ✓

4. Equation found: n - 6 = 11

Solution: n = _______

Check: _______ - 6 = 11 ✓

⚖️ Part 2: Understanding the Equal Sign

5. What does the equal sign (=) mean in mathematics?

It means "calculate the answer"

It means "the same as" or "equivalent to"

It means "add all the numbers"

It means "write the next step"

6. Which of these statements are true? (Check all that apply)

8 + 4 = 12

15 - 3 = 10 + 2

7 + 5 = 6 + 6

20 - 8 = 15 - 2

🔄 Part 3: Inverse Operations

7. Match each equation with the correct inverse operation to solve it:
1. x + 8 = 15
2. y - 5 = 12
3. z + 3 = 11
4. w - 9 = 4
A. Add 5 to both sides
B. Subtract 8 from both sides
C. Add 9 to both sides
D. Subtract 3 from both sides
8. Fill in the blanks with the correct inverse operations:

To solve x + 6 = 14, I need to _____________ 6 from both sides.

To solve y - 7 = 10, I need to _____________ 7 to both sides.

To solve m + 15 = 23, I need to _____________ 15 from both sides.

📝 Part 4: Solve and Check

9. Solve these equations and show your checking work:

a) p + 9 = 17

Solution: p = _______

Check: _______ + 9 = 17

b) q - 8 = 15

Solution: q = _______

Check: _______ - 8 = 15

c) r + 14 = 25

Solution: r = _______

Check: _______ + 14 = 25

🌟 Part 5: Word Problems

10. Write and solve equations for these real-world problems:

a) Sarah had some stickers. She gave away 7 stickers and now has 12 left. How many stickers did she start with?

Equation: ________________

Answer: Sarah started with _______ stickers.

b) Tom bought a book and spent $8 more on lunch. His total spending was $23. How much did the book cost?

Equation: ________________

Answer: The book cost $_______ .

11. Create your own word problem that can be solved with a one-step equation:

Equation: ________________

Solution: ________________

🤔 Part 6: Reflection

12. Explain in your own words how to solve a one-step equation:
13. What is the most important thing to remember when checking your solution?
14. Rate your confidence level solving one-step equations:

Very confident - I can solve them easily

Somewhat confident - I need a bit more practice

Not very confident - I need more help

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