Monomials Operations Worksheet
This worksheet focuses on performing operations with monomials, including multiplication, division, and exponents, suitable for Grade 11 Algebra students.
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Monomials Operations
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Read each question carefully and perform the indicated operations on the monomials. Simplify your answers completely.
1. What is the product of (3x²y³) and (5x⁴y)?
8x⁶y⁴
15x⁶y⁴
15x⁸y³
8x⁸y³
2. Simplify (2a⁵b²)³.
6a⁸b⁵
8a¹⁵b⁶
8a⁸b⁵
6a¹⁵b⁶
3. When multiplying monomials, you the coefficients and the exponents of the same variables.
4. To divide monomials, you the coefficients and the exponents of the same variables.
5. Simplify the expression: (12x⁷y⁵) / (4x³y²)
6. Simplify the expression: ( -2m²n ) * ( 5m³n⁴ )
7. The expression (x²)³ is equivalent to x⁵.
True
False
8. Any non-zero base raised to the power of zero equals one.
True
False
9. A rectangular prism has a length of 3x², a width of 2xy, and a height of 4y³. What is its volume? (Volume = length × width × height)
10. If the area of a rectangle is 24a⁵b⁶ and its width is 6a²b³, what is its length? (Area = length × width)