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Algebra Foundations Worksheet

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Algebra Foundations Worksheet worksheet preview
Algebra Foundations Worksheet

Algebra Foundations Worksheet

Algebra symbols and equations illustration

🔍 Part 1: Understanding the Equal Sign

1. What does the = sign really mean? Circle the best answer:

The answer comes next

Both sides are the same as each other

Add the numbers together

2. True or False? Circle T or F for each number sentence:

a) 7 + 5 = 6 + 6     T     F

b) 14 + 6 = 20     T     F

c) 15 - 8 = 9 - 2     T     F

d) 12 + 3 = 10 + 4     T     F

🔢 Part 2: Finding Missing Numbers

3. Find the missing numbers in these open number sentences:

a) 12 + _____ = 15

b) _____ + 9 = 17

c) 20 - _____ = 7

d) 18 - 7 = _____ + 4

e) _____ + 6 = 14

4. Explain how you found the missing number for question 3a:

📈 Part 3: Pattern Recognition

5. Look at this growing pattern: 2, 4, 6, 8, _____, _____

a) Write the next two numbers: _____ and _____

b) Describe the rule in your own words: _________________________________

6. Complete this pattern table:
Position Term
1 3
2 6
3 9
4 _____
5 _____
7. What is the rule for the pattern in question 6?

Add 3 each time

Multiply the position by 3

Add the position number

🧠 Part 4: Problem Solving

8. Sarah has some stickers. She gives away 8 stickers and has 15 left. How many stickers did she start with?

Write this as a number sentence: _____ - 8 = 15

Sarah started with _____ stickers.

9. Show your working for question 8:
10. Create your own true number sentence using addition:

_____ + _____ = _____ + _____

11. Explain why your number sentence in question 10 is true:

🎯 Part 5: Challenge Questions

12. Which of these statements are true? Check all that apply:

25 = 20 + 5

16 - 9 = 8 - 1

13 + 7 = 11 + 9

22 - 6 = 14 + 3

13. Look at this pattern: 5, 8, 11, 14, ...

If this pattern continues, what will be the 10th term? _____

14. Show how you worked out question 13:

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