Factorization & Simplification — Quiz 1

Questions in this quiz (10)

1. Evaluate: $$2^2 \times 5^3 \times (-1)^4$$

   • $$250$$
   • $$-300$$
   • $$-250$$
   • $$500$$

2. Simplify: $$(4x)^2 \cdot (2x^2)^3$$

   • $$16x^{8}$$
   • $$128x^{8}$$
   • $$8x^{16}$$
   • $$16x^{16}$$

3. Simplify: $$(b^{-2} \cdot b^{-3})^3$$

   • $$b^{-15}$$
   • $$b^{12}$$
   • $$b^{-12}$$
   • $$b^{15}$$

4. Which of the following is equal to $$\sqrt[3]{x^7}$$?

   • $$x^{\frac{7}{3}}$$
   • $$x^{4}$$
   • $$x^{\frac{3}{7}}$$
   • $$x^{-10}$$

5. The expression $$(4+\sqrt{y})^2$$ is equal to:

   • $$16 + 8\sqrt{y} + y$$
   • $$16 + 8y + y^2$$
   • $$8 + 4\sqrt{y} + y$$
   • $$8 + 2\sqrt{y} + y$$

6. The expression $$\frac{\sqrt{y}+\sqrt{y}}{\sqrt{4y}}$$ reduces to:

   • $$\frac{1}{2}$$
   • $$1$$
   • $$\frac{1}{4}$$
   • $$\frac{1}{2y}$$

7. The expression $$4ab(3a^2 + 2ab)$$ is equivalent to:

   • $$12a^2b + 8ab^2$$
   • $$12a^3b^2 + 8ab$$
   • $$12a^3b + 8a^2b^2$$
   • $$12a^3b + 8ab$$

8. The expression $$5a^2b^3 - 20a^4b^5$$ is equivalent to:

   • $$5a^2b^3(1 - 4a^2b^2)$$
   • $$5ab(1 - 4a^4b^3)$$
   • $$5ab(1 - 4a^2b^2)$$
   • $$5ab(1 - 4a^4b^2)$$

9. The expression $$\frac{90x^4y - 60x^2y^2}{6x^2}$$ can be simplified to:

   • $$10xy - 6y$$
   • $$15x^2y - 10y^2$$
   • $$10xy - 6y^2$$
   • $$10x^2y - 12y$$

10. The expression $$(3x + 4)(2x - 5)$$ is equivalent to:

    • $$6x^2 + 23x - 20$$
    • $$6x^2 - 7x - 20$$
    • $$6x^2 - 23x + 20$$
    • $$6x^2 - 15x - 20$$