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Algebra Foundations Worksheets

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Algebra Foundations Worksheets worksheet preview

Algebra Foundations Worksheets

Algebra symbols and equations illustration

📚 Part 1: Understanding Equations and Inequalities

1. Circle TRUE or FALSE for each number sentence:

a) 7 + 3 = 12 - 2 TRUE / FALSE

b) 15 - 8 = 9 + 2 TRUE / FALSE

c) 6 × 4 = 20 + 4 TRUE / FALSE

2. Choose the correct symbol (=, <, >) for each:

a) 8 + 7 _____ 16 - 1

b) 5 × 3 _____ 12 + 5

c) 20 - 6 _____ 7 + 8

3. Find the missing number in each equation:

a) 9 + _____ = 15

b) _____ - 7 = 12

c) 4 × _____ = 20

4. What does the equal sign (=) mean? Choose the best answer:

Find the answer

The same as

Add the numbers

🔍 Part 2: Patterns and Rules

5. Continue these patterns:

a) 2, 4, 6, 8, _____, _____

b) 5, 10, 15, 20, _____, _____

c) 1, 4, 7, 10, _____, _____

6. Describe the rule for this pattern in words:

Pattern: 3, 6, 9, 12, 15...

7. Complete this pattern table:
Position1st2nd3rd4th5th
Value4812__________

🧮 Part 3: Simple Algorithms and Problem Solving

8. Follow this algorithm to find the answer:

Step 1: Start with the number 15

Step 2: Subtract 7

Step 3: Add 4

Step 4: Multiply by 2

Final answer: _____

9. Write your own 3-step algorithm to get from 10 to 18:
10. Solve these simple equations using inverse operations:

a) x + 8 = 15, so x = _____

b) y - 6 = 9, so y = _____

c) 3 × z = 21, so z = _____

11. Explain how you solved question 10c:

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