Worked example 1
Combine: 5a + 3 + 2a - 7.
Collect the terms that have the same variable part. Group like terms: (5a + 2a) + (3 - 7) = 7a - 4.
Answer: 7a - 4
Grade 6 Math · Topic 46
Combining Like Terms
Like terms have the same variable raised to the same power. To simplify expressions, combine like terms by adding or subtracting their coefficients (the numbers in front) — the variable part stays the same.
Lesson alignment: 6.EE.A.3 · Take your time. You can return to this lesson whenever you need it.
Explore visually
Combine matching algebra tiles
Positive and negative matching tiles form zero pairs; combine only tiles with the same variable part.
Think first: Which tiles could cancel to make zero, and which tiles can combine?
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Follow the worked examples
Read each step, then cover the explanation and see if you can explain why it works.
Worked example 2
Combine: 4(x + 2) + 3x.
Distribute first: 4x + 8 + 3x. Combine like terms: (4x + 3x) + 8 = 7x + 8.
Answer: 7x + 8
Try a few on your own
Work these on paper first. Open “Check” when you are ready to compare your answer.
- 3x + 5x
Check
8x
- 7y - 4y + 2
Check
3y+2
- 4a + 3 + 2a + 1
Check
6a+4
- 6x - 2x - 5
Check
4x-5
- 5(x + 1) + 2x
Check
7x+5
- 3a + 4b - a + 2b
Check
2a+6b
- 2(x - 3) + 4x + 7
Check
6x+1
- 8x² + 3x - 2x² + x
Check
6x²⁺⁴x
Try this situation 1
Simplify 5x + 8 - 2x + 4.
Show a worked solution
Answer: 3x + 12.
Start by writing the calculation clearly: (5x - 2x) + (8 + 4) = 3x + 12.
Try this situation 2
A snack bar sells x hot dogs at $3 each and x drinks at $2 each. Write a simplified expression for the total revenue.
Show a worked solution
Answer: 5x.
Start by writing the calculation clearly: 3x + 2x = 5x.
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Practice this skill
Try a fresh set each time. Answer one question, check your thinking, and read the explanation. If you miss one, return to the visual model and try another round.
Question 1 of 50 correct so far
Session complete
Check what you learned
Answer these five questions on your own. You can review the explanations after you submit and try again whenever you like. This short check is for practice, not a grade.
Practice and finish
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More Grade 6 resources
Use these free materials if you want another explanation, extra paper practice, or a broader review.