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One-Step Linear Equations

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One-Step Linear Equations worksheet preview

One-Step Linear Equations

Algebraic equations illustration

📚 Part 1: Understanding Equations

1. In the equation t + 7 = 12, which is the variable?

7

t

12

+

2. What does the equality sign (=) mean?

Greater than

Same as

Less than

Different from

3. In the equation 3y = 15, which are the constants? (Select all that apply)

3

y

15

=

4. To solve x - 5 = 9, what inverse operation should you use?

Subtract 5 from both sides

Add 5 to both sides

Multiply both sides by 5

Divide both sides by 5

✏️ Part 2: Solving One-Step Equations

5. Solve: t + 7 = 12

t = _______

6. Solve: 3y = 15

y = _______

7. Solve: m - 4 = 11

m = _______

8. Solve: 6k = 24

k = _______

🌟 Part 3: Real-Life Problems

9. Sarah has some stickers. She buys 8 more and now has 15 stickers in total. How many stickers did she start with?

Write the equation: s + _______ = _______

Sarah started with _______ stickers.

10. A box contains 4 pencils in each pack. If there are 20 pencils in total, how many packs are there?

Write the equation: _______ × p = _______

There are _______ packs.

11. Check your answer from question 5 by substituting back into the original equation:

If t = _______, then _______ + 7 = _______

Does this equal 12? _______

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