🔍 Part 1: Understanding Linear Equations

1. What does the equals sign (=) mean in mathematics? Circle the best answer:

It means "calculate the answer"

It means "the same as" or "is equal to"

It means "add the numbers"

It means "the end of the problem"

2. Which of these are one-step linear equations? Check all that apply:

x + 7 = 12

2x + 3 = 11

y - 5 = 8

15 = z + 9

3a + 2b = 10

⚖️ Part 2: Solving One-Step Addition Equations

3. Solve: x + 8 = 15

4. Solve: 9 + y = 14

5. Solve: t + 12 = 20

6. Check your answer from question 3 by substitution. Show your working:

➖ Part 3: Solving One-Step Subtraction Equations

7. Solve: m - 6 = 11

8. Solve: p - 9 = 4

9. Solve: 18 = n - 7

10. What inverse operation would you use to solve x - 15 = 23? Circle the correct answer:

Subtract 15 from both sides

Add 15 to both sides

Multiply both sides by 15

Divide both sides by 15

💰 Part 4: Real-World Problems

11. Sarah has $7. She earns some money and now has $19. How much did she earn?

Write the equation: ________________

12. Tom had some stickers. He gave away 8 stickers and now has 15 left. How many stickers did he start with?

Write the equation: ________________

13. A rugby team scored 12 points in the first half. Their total score was 27 points. How many points did they score in the second half?

Write the equation: ________________

14. The temperature increased by 8°C during the day. If the final temperature was 23°C, what was the starting temperature?

Write the equation: ________________

🔄 Part 5: Mixed Practice

15. Match each equation with its solution:

1. x + 4 = 10

2. y - 7 = 3

3. 15 = z + 8

4. w - 5 = 12

A. w = 17

B. x = 6

C. z = 7

D. y = 10

16. Fill in the blanks to complete the solution steps:

To solve x + 9 = 16:

Step 1: _________ 9 from both sides

Step 2: x = 16 _____ 9

Step 3: x = _____

17. Create your own one-step linear equation and solve it:

My equation: ________________

🤔 Part 6: Reflection

18. Explain in your own words what an inverse operation is:

19. Why is it important to check your solution by substituting back into the original equation?

20. What is one thing you learned about linear equations today?

One-Step Linear Equations

One-Step Linear Equations

🔍 Part 1: Understanding Linear Equations

⚖️ Part 2: Solving One-Step Addition Equations

➖ Part 3: Solving One-Step Subtraction Equations

💰 Part 4: Real-World Problems

🔄 Part 5: Mixed Practice

🤔 Part 6: Reflection

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