# Worksheet: Simplifying Expressions: Combining Like Terms

In this worksheet, we will practice simplifying polynomial expressions by adding and subtracting like terms.

**Q5: **

Simplify the expression .

- A
- B
- C
- D
- E

**Q6: **

Simplify .

- A
- B
- C
- D

**Q7: **

The perimeter of a triangle is and the lengths of two of its sides are and . Express the length of the third side in terms of and .

- A cm
- B cm
- C cm
- D cm

**Q8: **

Simplify .

- A
- B
- C
- D

**Q9: **

Add , , , and .

- A
- B
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- D

**Q10: **

Simplify .

- A
- B
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- D
- E

**Q11: **

Simplify .

- A
- B
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- D
- E

**Q13: **

Identify like terms, their coefficients, and any constants in the expression .

- Alike terms: , , coefficients: , , constant: 3
- Blike terms: , , coefficients: , , , constant:
- Clike terms: , , coefficients: , , 3, constant: 3
- Dlike terms: , , coefficients: , , 3, constant:
- Elike terms: , , coefficients: , , constant: 3

**Q15: **

Simplify the expression .

- A
- B
- C
- D
- E

**Q16: **

Simplify the expression .

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- B
- C
- D
- E

**Q17: **

Which of the following expressions does NOT correspond to the shown diagram?

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- D
- E

**Q18: **

Simplify the expression .

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- D
- E

**Q19: **

Simplify .

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- B
- C
- D
- E

**Q20: **

Simplify the expression .

- A
- B
- C
- D
- E

**Q21: **

Simplify the expression .

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- B
- C
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- E

**Q22: **

Simplify the expression .

- A
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- D
- E

**Q23: **

The algebraic expression can be interpreted as the number of apples shown in the diagram. The number of apples in each bag is called . When rewriting the number of apples in a more natural way (counting all the bags on one hand and all the single apples on the other hand), what properties of addition are we using? Give the new expression for the number of apples.

- Athe commutative and associative properties,
- Bthe commutative and associative properties,
- Cthe commutative and distributive properties,
- Dthe associative and distributive properties,
- Ethe commutative and distributive properties,

**Q24: **

Simplify the expression .

- A
- B
- C
- D
- E

**Q25: **

Simplify .

- A
- B
- C
- D
- E