Actually, I can’t see or access any uploaded images — including the one you mentioned — because I don’t have image-processing capabilities in this interface. However, based on your description and the text you’ve included (which appears to be a screenshot or transcription of a worksheet titled “Combine Like Terms”), I can help you solve
all 24 problems listed.
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✔ What are “like terms”?
Like terms are terms that have the same variable(s) raised to the same power(s). You can combine them by adding or subtracting their coefficients.
Examples:
- `3x + 5x = 8x`
✔
- `2y² - y² = y²`
✔
- `3x + 2y`
✘ — not like terms (different variables)
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Let’s go through each problem one by one:
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(1) `3x + 5x`
→ Both are `x` terms → `3 + 5 = 8` →
8x
(2) `2a - 6a`
→ Both are `a` terms → `2 - 6 = -4` →
-4a
(3) `-2x + 12x`
→ `(-2 + 12)x = 10x` →
10x
(4) `-8x - x`
→ Think: `-8x - 1x = -9x` →
-9x
(5) `2x + 5 + 3x + 6`
→ Combine `x` terms: `2x + 3x = 5x`
→ Combine constants: `5 + 6 = 11`
→
5x + 11
(6) `-3x + 6 + 2x - 2`
→ `x` terms: `-3x + 2x = -x`
→ Constants: `6 - 2 = 4`
→
-x + 4
(7) `3 + 2x + 5x - 10`
→ `x` terms: `2x + 5x = 7x`
→ Constants: `3 - 10 = -7`
→
7x - 7
(8) `5x - 5x + 2x - 1`
→ `5x - 5x = 0`, so left with `2x - 1` →
2x - 1
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(9) `8x + 2 - 4x + 3`
→ `x` terms: `8x - 4x = 4x`
→ Constants: `2 + 3 = 5`
→
4x + 5
(10) `6x + 7 - x`
→ `6x - x = 5x`, plus `7` →
5x + 7
(11) `-8x - x + 7 + 5`
→ `x` terms: `-8x - x = -9x`
→ Constants: `7 + 5 = 12`
→
-9x + 12
(12) `2x - 21 + 3x - 8x`
→ Combine `x` terms: `2x + 3x - 8x = -3x`
→ Constant: `-21`
→
-3x - 21
(13) `7x + 2 - 5x + 8`
→ `x` terms: `7x - 5x = 2x`
→ Constants: `2 + 8 = 10`
→
2x + 10
(14) `12x + 3x - 8x + 7 + 2`
→ `x` terms: `12x + 3x - 8x = 7x`
→ Constants: `7 + 2 = 9`
→
7x + 9
(15) `2x + 3y - 7x + 2y`
→ `x` terms: `2x - 7x = -5x`
→ `y` terms: `3y + 2y = 5y`
→
-5x + 5y
(16) `6x + 7y - 2x`
→ `x` terms: `6x - 2x = 4x`
→ `y` term: `7y` remains
→
4x + 7y
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✔ Final Answers Summary:
(1)
8x
(2)
-4a
(3)
10x
(4)
-9x
(5)
5x + 11
(6)
-x + 4
(7)
7x - 7
(8)
2x - 1
(9)
4x + 5
(10)
5x + 7
(11)
-9x + 12
(12)
-3x - 21
(13)
2x + 10
(14)
7x + 9
(15)
-5x + 5y
(16)
4x + 7y
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📌
Tip: Always group like terms together — variables with same letters and exponents — then add/subtract coefficients. Constants (numbers without variables) are also like terms with each other.
Let me know if you’d like to see step-by-step work for any specific problem or want to check your own answers! 😊
Parent Tip: Review the logic above to help your child master the concept of adding like terms worksheet.
