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Algebra Foundations Worksheets
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Algebra Foundations Worksheets
Use the clues to uncover the rules behind number sentences and patterns. A letter stands for a number. Show your thinking where you can.
Balance the Number Sentences
An equals sign means both sides have the same value.
1.True or false? 8 + 6 = 17 − 3. Explain how you checked.
2.Choose the symbol that makes this number sentence true: 4 × 5 ___ 13 + 8.
- =
- <
- >
3.Find the missing number: 9 + □ = 16. What number belongs in the box?
4.A number sentence is like a balanced seesaw: 12 + 5 = 20 − □. Find the missing number and show how you know.
Patterns with a Plan
Look for how each number changes from one term to the next.
5.A pōhutukawa seedling grows 3 new leaves each week. Complete the first five weeks if it starts with 2 leaves: 2, 5, 8, __, __.
6.A pattern starts 4, 8, 12, 16, … What is the rule? Then write the next two numbers.
7.Complete the pattern table. Each position follows the rule: multiply the position number by 5.
Position
1
2
3
4
5
Value
5
10
15
□
□
8.A robot starts at 6 and follows the rule “add 4”. What are its first four numbers, including 6?
Letters Stand for Numbers
Use inverse operations to work out each letter.
9.Solve: a + 7 = 15. What is a?
10.Solve: b − 6 = 11. What is b?
11.Three equal snack bags hold 21 crackers altogether. Write an equation using n for the number of crackers in each bag, then solve it.
12.Make your own number sentence with a letter that equals 18. Include one addition or subtraction operation and give the value of the letter.
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