Solving Simple Linear Equations with Unknown Values Between -9 and ... - Free Printable

Actually, you didn’t upload an image — you pasted a text version of a worksheet titled “Solving Simple Equations (A) Answers”. This is already the *answer key*, not the original problem set.

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✔ What this document is:
- A math worksheet with 20 simple linear equations.
- Each equation has one variable (like `a`, `t`, `f`, etc.).
- The correct answer for each is written in red beneath the equation.
- It’s from Math-Drills.com, a popular educational resource site.

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🧮 How to solve these types of equations (for learning):

These are all one-step or two-step equations. The goal is to isolate the variable on one side of the equation.

General Strategy:

1. Undo addition/subtraction by doing the opposite operation to both sides.
2. Undo multiplication/division (not needed here) similarly.

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📌 Example Walkthroughs:

#### Problem 1: `0 = a + (-8)` → `0 = a - 8`
→ Add 8 to both sides:
`0 + 8 = a - 8 + 8`
→ `8 = a`
✔ Answer: `a = 8`

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#### Problem 2: `t + (-4) = -11` → `t - 4 = -11`
→ Add 4 to both sides:
`t - 4 + 4 = -11 + 4`
→ `t = -7`
✔ Answer: `t = -7`

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#### Problem 5: `d + 9 = 12`
→ Subtract 9 from both sides:
`d + 9 - 9 = 12 - 9`
→ `d = 3`
✔ Answer: `d = 3`

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#### Problem 10: `1 - b = 0`
→ Subtract 1 from both sides:
`1 - b - 1 = 0 - 1`
→ `-b = -1`
→ Multiply both sides by -1:
`b = 1`
✔ Answer: `b = 1`

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#### Problem 14: `7 - r = 9`
→ Subtract 7 from both sides:
`7 - r - 7 = 9 - 7`
→ `-r = 2`
→ Multiply both sides by -1:
`r = -2`
✔ Answer: `r = -2`

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📌 Summary:

Since this is already the answer key, there’s no “problem to solve” — it’s meant to check your work if you did the original worksheet.

If you want to practice, try covering the red answers and solving each equation yourself using the steps above!

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🎯 Tip for Students:
Always check your answer by plugging it back into the original equation.

Example: For `d + 9 = 12`, if you got `d = 3`, plug it in:
`3 + 9 = 12` → ✔ Correct!

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Let me know if you’d like the blank version of this worksheet (without answers) to practice, or if you want explanations for more problems!