Simplify Expressions Worksheets with multiplication exercises for algebra practice.

Let’s solve each expression step by step. We’ll multiply the numbers first, then combine the variables using exponent rules (when multiplying same bases, add exponents).

---

Left Column:

1. 5x × 2x × 3y
Numbers: 5 × 2 × 3 = 30
Variables: x × x = x², and y stays → so x²y
→ 30x²y

2. 2 × 2 × 3x × 4
Numbers: 2 × 2 × 3 × 4 = 48
Variable: only one x → 48x

3. 2a × 3ab × 2c
Numbers: 2 × 3 × 2 = 12
Variables: a × a = a², b, c → 12a²bc

4. 9 × x² × xy
Numbers: 9
Variables: x² × x = x³, and y → 9x³y

5. 4xy × 2x²y × 7
Numbers: 4 × 2 × 7 = 56
Variables: x × x² = x³, y × y = y² → 56x³y²

6. 9x × 2xy × 3x²
Numbers: 9 × 2 × 3 = 54
Variables: x × x = x², then × x² = x, and y → 54xy

---

Right Column:

7. 2x × 3y × 2xy
Numbers: 2 × 3 × 2 = 12
Variables: x × x = x², y × y = y² → 12x²y²

8. 4 × 2x × 3x²y
Numbers: 4 × 2 × 3 = 24
Variables: x × x² = x³, and y → 24x³y

9. 10x × 2y × 3
Numbers: 10 × 2 × 3 = 60
Variables: x and y → 60xy

10. 4xy² × 2x²y
Numbers: 4 × 2 = 8
Variables: x × x² = x³, y² × y = y³ → 8x³y³

11. 9 × xyz × 4xy
Numbers: 9 × 4 = 36
Variables: x × x = x², y × y = y², z → 36x²y²z

12. 2x × xy² × 3xy
Numbers: 2 × 3 = 6
Variables: x × x = x², then × x = x³; y² × y = y³ → 6x³y³

---

Final Answer:

Left Column:
- 30x²y
- 48x
- 12a²bc
- 9x³y
- 56x³y²
- 54x⁴y

Right Column:
- 12x²y²
- 24x³y
- 60xy
- 8x³y³
- 36x²y²z
- 6x³y³