Mixed Practice of Adding, Subtracting, Multiplying and Dividing Monomials

Part I – Adding & Subtracting Monomials Directions: Simplify each expression. - Simplify: \( -6x^2y - 2x^2y \)

• -8x^2y

• -4x^2y

• -10x^2y

• 0

Part I – Adding & Subtracting Monomials Directions: Simplify each expression. - Simplify: \( 7a^3 - 17a - 3a^3 + 2a \)

• 4a^3 - 15a

• 10a^3 - 19a

• 4a^3 - 19a

• 10a^3 - 15a

Part I – Adding & Subtracting Monomials Directions: Simplify each expression. - Find the sum of \( 2wm \) and \( 9wm \).

• 11wm

• 7wm

• 10wm

• 12wm

Part I – Adding & Subtracting Monomials Directions: Simplify each expression. - Subtract \( 8p^2j^4 \) from \( -5p^2j^4 \).

• -13p^2j^4

• 3p^2j^4

• -3p^2j^4

• 13p^2j^4

Multiply the following monomials below. (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Part II – Multiplying & Dividing Monomials Directions: Simplify each expression. Final answers must contain positive exponents only. - Simplify: \( 7^1 \cdot 7^7 \)

• 7^8

• 7^6

• 7^9

• 7^7

Part II – Multiplying & Dividing Monomials Directions: Simplify each expression. Final answers must contain positive exponents only. - Simplify: \( 6v^1 \cdot v^{-3}w^4 \)

• \frac{6w^4}{v^2}

• 6v^{-2}w^4

• \frac{6v^4}{w^2}

• 6w^4v^2

Part II – Multiplying & Dividing Monomials Directions: Simplify each expression. Final answers must contain positive exponents only. - Simplify: \( 8a^7 \cdot 4a^2 \)

• 32a^9

• 12a^5

• 32a^8

• 8a^9

Part II – Multiplying & Dividing Monomials Directions: Simplify each expression. Final answers must contain positive exponents only. - Simplify: \( (-5r^3)(-4r^5s^3) \)

• 20r^8s^3

• -20r^8s^3

• 20r^2s^3

• 20r^8s^2

Part II – Multiplying & Dividing Monomials Directions: Simplify each expression. Final answers must contain positive exponents only. - Simplify: \( \frac{z^7}{z^2} \)

• z^5

• z^9

• z^3

• z^2