Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

Download answers PDF Print answers Back to worksheet

Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic Expressions

Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

Collect the like terms. Only terms with exactly the same letter and power can be added.

1.Simplify: 3x − 2y + 4x − 4y

Answer: 7x − 6y

x terms: 3x + 4x = 7x
y terms: −2y − 4y = −6y

2.Simplify: −4x + 8y + x + 9y

Answer: −3x + 17y

x terms: −4x + x = −3x
y terms: 8y + 9y = 17y

3.Simplify: 4x + 3y² − 6x − 6y²

Answer: −2x − 3y²

x terms: 4x − 6x = −2x
y² terms: 3y² − 6y² = −3y²

4.Simplify: −x + 4y + 7x − y

Answer: 6x + 3y

x terms: −x + 7x = 6x
y terms: 4y − y = 3y

5.Simplify: −3x + 6y² − 4x − 4y²

Answer: −7x + 2y²

x terms: −3x − 4x = −7x
y² terms: 6y² − 4y² = 2y²

6.Simplify: −3x − 6y² + 9x + 9y²

Answer: 6x + 3y²

x terms: −3x + 9x = 6x
y² terms: −6y² + 9y² = 3y²

7.Simplify: −6x + 5y² − 2x − 4y²

Answer: −8x + y²

x terms: −6x − 2x = −8x
y² terms: 5y² − 4y² = y²

8.Simplify: 6x + 7y + 3x − y

Answer: 9x + 6y

x terms: 6x + 3x = 9x
y terms: 7y − y = 6y

9.Simplify: −6x − 4y² − 5x + 9y²

Answer: −11x + 5y²

x terms: −6x − 5x = −11x
y² terms: −4y² + 9y² = 5y²

10.Simplify: 3x + 5y − 5x − 3y

Answer: −2x + 2y

x terms: 3x − 5x = −2x
y terms: 5y − 3y = 2y

11.Simplify: x − 3y² − 3x + 3y²

Answer: −2x

x terms: x − 3x = −2x
y² terms: −3y² + 3y² = 0

12.Simplify: 8x + 5y² − x − 3y²

Answer: 7x + 2y²

x terms: 8x − x = 7x
y² terms: 5y² − 3y² = 2y²

13.Simplify: 9x + 5y² − 3x + 7y²

Answer: 6x + 12y²

x terms: 9x − 3x = 6x
y² terms: 5y² + 7y² = 12y²

14.Simplify: 5x − 2y² + 8x + 5y²

Answer: 13x + 3y²

x terms: 5x + 8x = 13x
y² terms: −2y² + 5y² = 3y²

Marking tips

Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: