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One-Step Linear Equations

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One-Step Linear Equations worksheet preview
One-Step Linear Equations

One-Step Linear Equations

Balance scale showing equation equality

🎯 Part 1: Understanding Linear Equations

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

Find the answer

The same as (balance)

Add the numbers

Write the total

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

x + 5 = 12

2x + 3 = 11

y - 7 = 15

3x - 2x + 5 = 8

m + 9 = 20

🔧 Part 2: Solving One-Step Equations (Addition)

3. Solve: x + 8 = 15
4. Solve: m + 12 = 25
5. Solve: y + 6 = 14
6. Check your answer for question 3 by substituting back into the original equation:

➖ Part 3: Solving One-Step Equations (Subtraction)

7. Solve: x - 5 = 9
8. Solve: t - 11 = 7
9. Solve: p - 3 = 15
10. What inverse operation do you use to solve x - 8 = 12? Circle the correct answer:

Subtract 8 from both sides

Add 8 to both sides

Multiply both sides by 8

Divide both sides by 8

📖 Part 4: Word Problems

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

Write the equation: ________________

Answer: Sarah earned $______

12. A rugby team scored some points in the first half. They scored 14 more points in the second half and finished with 35 points total. How many points did they score in the first half?

Write the equation: ________________

Answer: They scored ______ points in the first half

13. Tom had 25 stickers. He gave some away and now has 18 stickers left. How many stickers did he give away?

Write the equation: ________________

Answer: Tom gave away ______ stickers

🎯 Part 5: Mixed Practice

14. Match each equation with its solution:
1. x + 9 = 16
2. y - 4 = 11
3. m + 7 = 20
4. n - 6 = 8
A. n = 14
B. x = 7
C. m = 13
D. y = 15
15. Fill in the blanks to complete the solution steps:

To solve x + 5 = 12:

Step 1: _________ 5 from both sides

Step 2: x = 12 _____ 5

Step 3: x = _____

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

My equation: ________________

Solution: ________________

🤔 Part 6: Reflection

17. Explain in your own words what it means to solve a linear equation:
18. Why is it important to check your solution by substituting back into the original equation?
19. What is one real-life situation where you might use a one-step linear equation?

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