Like Terms Teaching Resources :: 25 - 48 - Free Printable
Educational worksheet: Like Terms Teaching Resources :: 25 - 48. Download and print for classroom or home learning activities.
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Step-by-step solution for: Like Terms Teaching Resources :: 25 - 48
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Show Answer Key & Explanations
Step-by-step solution for: Like Terms Teaching Resources :: 25 - 48
Actually, I can’t see or process images — including the one you uploaded — because I don’t have image-reading capabilities. However, based on the text you’ve included in your message, it looks like you’re working on a worksheet titled “Combine Like Terms 1”, which asks students to solve for x by simplifying expressions and solving linear equations.
Let’s go through how to solve these types of problems step-by-step, using a few examples from your list.
---
## 📌 General Strategy:
1. Combine like terms on each side of the equation.
2. Isolate the variable (x) by adding/subtracting terms from both sides.
3. Solve for x by dividing or multiplying both sides as needed.
---
## ✔ Example 1: `3x + 22 - 14x = 0`
Step 1: Combine like terms
→ 3x - 14x = -11x
→ So: `-11x + 22 = 0`
Step 2: Subtract 22 from both sides
→ `-11x = -22`
Step 3: Divide both sides by -11
→ `x = (-22)/(-11) = 2`
✔ Answer: x = 2
---
## ✔ Example 2: `10x + 3x - 65 = -2`
Step 1: Combine like terms
→ 10x + 3x = 13x
→ `13x - 65 = -2`
Step 2: Add 65 to both sides
→ `13x = 63`
Step 3: Divide by 13
→ `x = 63/13` → This is already simplified.
✔ Answer: x = 63/13 (or ≈ 4.85)
---
## ✔ Example 3: `4x + 40 - 12x = -24`
Step 1: Combine like terms
→ 4x - 12x = -8x
→ `-8x + 40 = -24`
Step 2: Subtract 40 from both sides
→ `-8x = -64`
Step 3: Divide by -8
→ `x = 8`
✔ Answer: x = 8
---
## ✔ Example 4: `2x + 7x - 10x = 70`
Step 1: Combine like terms
→ 2x + 7x - 10x = -1x → `-x = 70`
Step 2: Multiply both sides by -1
→ `x = -70`
✔ Answer: x = -70
---
## 🔁 Pattern for All Problems:
You’ll notice that most problems follow this structure:
> Combine all x terms → Move constants to one side → Solve for x
Some may result in fractions or negative numbers — that’s okay!
---
## 💡 Pro Tip:
Always check your answer by plugging it back into the original equation.
For example, in `3x + 22 - 14x = 0`, if x=2:
→ 3(2) + 22 - 14(2) = 6 + 22 - 28 = 0 ✔️ Correct!
---
## 🧮 Let Me Solve a Few More for You:
→ 3x - 59 = -10
→ 3x = 49
→ x = 49/3
---
→ 16x = 98
→ x = 98/16 = 49/8
---
→ 44 + 19x = 51
→ 19x = 7
→ x = 7/19
---
## 📋 Final Notes:
Since there are many problems on your sheet, here’s what you can do:
✔ Use the method above to solve each one individually.
✔ Write down each step clearly.
✔ Check your answers when possible.
✔ If you want me to solve *specific* ones, just type them out as text — I can’t see the image, but I can help with any equation you paste!
---
## ❓ Need Help With Specific Problems?
Just reply with the exact equations you’d like solved (copy-paste them), and I’ll walk you through each one step by step — no image needed!
Happy solving! 😊📚
Let’s go through how to solve these types of problems step-by-step, using a few examples from your list.
---
## 📌 General Strategy:
1. Combine like terms on each side of the equation.
2. Isolate the variable (x) by adding/subtracting terms from both sides.
3. Solve for x by dividing or multiplying both sides as needed.
---
## ✔ Example 1: `3x + 22 - 14x = 0`
Step 1: Combine like terms
→ 3x - 14x = -11x
→ So: `-11x + 22 = 0`
Step 2: Subtract 22 from both sides
→ `-11x = -22`
Step 3: Divide both sides by -11
→ `x = (-22)/(-11) = 2`
✔ Answer: x = 2
---
## ✔ Example 2: `10x + 3x - 65 = -2`
Step 1: Combine like terms
→ 10x + 3x = 13x
→ `13x - 65 = -2`
Step 2: Add 65 to both sides
→ `13x = 63`
Step 3: Divide by 13
→ `x = 63/13` → This is already simplified.
✔ Answer: x = 63/13 (or ≈ 4.85)
---
## ✔ Example 3: `4x + 40 - 12x = -24`
Step 1: Combine like terms
→ 4x - 12x = -8x
→ `-8x + 40 = -24`
Step 2: Subtract 40 from both sides
→ `-8x = -64`
Step 3: Divide by -8
→ `x = 8`
✔ Answer: x = 8
---
## ✔ Example 4: `2x + 7x - 10x = 70`
Step 1: Combine like terms
→ 2x + 7x - 10x = -1x → `-x = 70`
Step 2: Multiply both sides by -1
→ `x = -70`
✔ Answer: x = -70
---
## 🔁 Pattern for All Problems:
You’ll notice that most problems follow this structure:
> Combine all x terms → Move constants to one side → Solve for x
Some may result in fractions or negative numbers — that’s okay!
---
## 💡 Pro Tip:
Always check your answer by plugging it back into the original equation.
For example, in `3x + 22 - 14x = 0`, if x=2:
→ 3(2) + 22 - 14(2) = 6 + 22 - 28 = 0 ✔️ Correct!
---
## 🧮 Let Me Solve a Few More for You:
Problem: `2x + x - 59 = -10`
→ 3x - 59 = -10
→ 3x = 49
→ x = 49/3
---
Problem: `16x - 58 = 40`
→ 16x = 98
→ x = 98/16 = 49/8
---
Problem: `44 + 4x + 15x = 51`
→ 44 + 19x = 51
→ 19x = 7
→ x = 7/19
---
## 📋 Final Notes:
Since there are many problems on your sheet, here’s what you can do:
✔ Use the method above to solve each one individually.
✔ Write down each step clearly.
✔ Check your answers when possible.
✔ If you want me to solve *specific* ones, just type them out as text — I can’t see the image, but I can help with any equation you paste!
---
## ❓ Need Help With Specific Problems?
Just reply with the exact equations you’d like solved (copy-paste them), and I’ll walk you through each one step by step — no image needed!
Happy solving! 😊📚
Parent Tip: Review the logic above to help your child master the concept of combining like terms worksheet pre algebra.